WO2010039909A1

WO2010039909A1 - Compositions and methods using substances containing carbon

Info

Publication number: WO2010039909A1
Application number: PCT/US2009/059141
Authority: WO
Inventors: Brent R. Constantz; James R. O'neil; Sidney Omelon
Original assignee: Calera Corporation
Priority date: 2008-09-30
Filing date: 2009-09-30
Publication date: 2010-04-08
Also published as: AU2009290159B2; CA2694989A1; EP2203067A4; AU2009290159A1; EP2203067A1

Abstract

Methods of characterizing and producing compositions with negative δ₁₃C values are provided. Aspects of the invention include characterizing source materials and process products. Aspects of the invention also include compositions that contain carbon with negative δ₁₃C values.

Description

PATENT APPLICATION Compositions and Methods Using Substances Containing Carbon

Inventor(s): Brent Constantz,

Citizen of US, Residing at

16 0hlone

Portola Valley, California, 94028.

James R. O 'Neil, Citizen of US, Residing at 674 Webster Street Palo Alto, California, 94301.

Sidney Omelon, Citizen of CA, Residing at 343 Bean Avenue, Apt. 3, Los Gatos, CA 95030.

Entity: A small business concern.

C GrAeen CemeLnt forE aBiueR PlaneAt

14600 Winchester Blvd Los Gatos, California 95032

(408) 340-4600 (Main) (408) 340-4650 (Facsimile)

Filed Electronically on: September 30, 2009 CROSS-REFERENCE

[0001] This application claims priority to the following copendmg patent application. U S Provisional Patent Application Serial No 61/101,629, titled "Methods of Producing Carbon Sequestration Tradable Commodities, and Systems for Transferring the Same," filed 30 September 2008, U S Provisional Patent Application Serial No 61/181,250, titled "Compositions and Methods Using Substances with Negative delta 13C Values," filed 26 May 2009, U S Provisional Patent Application Serial No 61/117,541, titled "Methods of Producing Carbon Sequestration Tradable Commodities, and Systems for Transferring the Same," filed 24 November 2008, U S Provisional Patent Application Serial No 61/219,310, titled "Compositions and Methods Using Substances with Negative delta 13C Values," filed 22 June 2009, U S Provisional Patent Application Serial No 61/232,401, titled, "Carbon Capture and Storage," filed 7 August 2009, U S Provisional Patent Application Serial No 61/239,429, titled, "Apparatus, Systems, and Methods of Treating Industrial Waste Gases," filed 2 September 2009, U S Provisional Patent Application Serial No 61/230,042, titled, "Apparatus, Systems, and Methods of Treating Industrial Waste Gases," filed 30 July 2009, U S Provisional Patent Application Seπal No 61/178,475, titled, "Apparatus, Systems, and Methods of Treating Industrial Waste Gases," filed 14 May 2009, U S Provisional Patent Application Serial No 61/170,086, titled, "Apparatus, Systems, and Methods of Treating Industrial Waste Gases," filed 16 April 2009, U S Provisional Patent Application Serial No 61/168,166, titled, "Apparatus, Systems, and Methods of Treating Industrial Waste Gases," filed 9 April 2009, U S Provisional Patent Application Serial No 61/158,992, titled, "Apparatus, Systems, and Methods of Treating Industrial Waste Gases," filed 10 March 2009, U S Provisional Patent Application Serial No 61/101,631, titled, "CO₂ Sequestration," filed 30 September 2008, U S Provisional Patent Application Serial No 61/101,626, titled, "High Yield CO₂ Sequestration Product

Production,"filed 30 September 2008, and is a continuation m part of the following copendmg applications. U S Patent Application Serial No 12/557,492, titled, "CO₂ Commodity Trading System and Method," filed on 10 September 2009,U S Patent Application Serial No 12/475,378, titled, "Rocks and Aggregate, and Methods of Making and Using the Same," filed 29 May 2009, U S Patent Application Serial No 12/344,019, titled, "Methods of Sequestering CO₂," filed 24 December 2008, U S Patent Application Serial No 12/501,217, titled, "Production of Carbonate-Contammg Compositions from Material Comprising Metal Silicates," filed 10 July 2009, and U S Patent Application Serial No 12/486,692, titled, "Methods and Systems for Utilizing Waste Sources of Metal Oxides," filed 17 June 2009, all of which are incorporated herein by reference

BACKGROUND OF THE INVENTION

[0002] Relative isotope composition values, e g , relative carbon isotope composition values (δ¹³C values) can be used m a variety of ways to verify the origins of materials m a composition Other substances withm the composition may also be used to verify the origin of the material Such techniques are useful in, e g , confirming that a given composition contains substances sequestered from a particular source, e g , fossil fuels, and such compositions may have a premium value

SUMMARY OF THE INVENTION

[0003] In some embodiments, the invention provides a composition that includes carbonates, bicarbonates, or a combination thereof, wherein the carbon in the composition has a relative carbon isotope composition (6¹³C) value less than -26 10 %o In some embodiments, the invention provides a composition in which the composition is a synthetic composition In some embodiments, the invention provides a composition m which the carbonates, bicarbonate, or combination of carbonates and bicarbonates make up at least 50% of the composition In some embodiments, the invention provides a composition m which the composition has a mass of greater than 100 kg In some embodiments, the invention provides a composition m which the CO₂ content of the composition is at least 10% In some embodiments, the invention provides a composition m which the composition has a negative carbon footprint In some embodiments, the invention provides a composition that further includes boron, sulfur, or nitrogen m which the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin In some embodiments, the invention provides for a composition m which the carbonates, bicarbonates or combination of carbonates and bicarbonates include calcium, magnesium or a combination of calcium and magnesium In some embodiments, the invention provides a composition m which the calcium to magnesium

(Ca/Mg) molar ratio is between 1/200 and 200/1 In some embodiments, the invention provides a composition m which the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15 In some embodiments, the invention provides a composition m which the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10 In some embodiments, the invention provides a composition that further includes SOx or a derivative of SOx In some embodiments, the invention provides a composition m which the composition includes a SOx derivative and m which the SOx derivative is a sulfite, a sulfate, or a combination thereof In some embodiments, the invention provides a composition that further includes a metal In some embodiments, the invention provides a composition that includes a metal m which the metal includes lead, arsenic, mercury, or cadmium, or a combination thereof [0004] In some embodiments, the invention provides a building material that includes carbonates, bicarbonates, or a combination thereof, in which the carbon m the carbonates, bicarbonates or combination thereof has a relative carbon isotope composition (5¹³C) value less than -10 00 %o In some embodiments, the invention provides a building material m which the component that includes carbonates, bicarbonates, or combination thereof is carbon- neutral or carbon negative In some embodiments, the invention provides a building material in which the component that includes carbonates, bicarbonates, or combination thereof is synthetic In some embodiments, the invention provides a building material of m which the carbonates, bicarbonates, or combination thereof make up at least 50% of the component that includes carbonates, bicarbonates, or combination thereof In some embodiments, the invention provides a building material in which the CO₂ content of the component that includes carbonates, bicarbonates, or combination thereof is at least 10% In some embodiments, the invention provides a building material that further includes boron, sulfur, or nitrogen m which the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin In some embodiments, the invention provides a building material in which the carbonates, bicarbonates, or combination thereof include calcium, magnesium or a combination of calcium and magnesium In some embodiments, the invention provides a building material in which the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1 In some embodiments, the invention provides a building material m which the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15 In some embodiments, the invention provides a building material m which the component that includes carbonates, bicarbonates, or combination thereof constitutes at least 20% of the building material In some embodiments, the invention provides a building material in which the building material is a cementitious material In some embodiments, the invention provides a cementitious building material m which the building material is cement or concrete In some embodiments, the invention provides a building material m which the building material is a non- cementitious material In some embodiments, the invention provides a building material wherein the building material is an aggregate In some embodiments, the invention provides a building material m which the building material is a roadway material In some embodiments, the invention provides a building material m which the building material is a brick, a board, a conduit, a beam, a basm, a column, a tile, a fiber siding product, a slab, an acoustic barrier, plaster, dry-wall, stucco, a soil stabilization composition, or insulation or combinations thereof. In some embodiments, the invention provides a building material m which the component that includes carbonates, bicarbonates, or combination thereof further includes SOx or a derivative thereof In some embodiments, the invention provides a building material in which the component that includes carbonates, bicarbonates, or combination thereof and includes SOx or a derivative thereof includes a sulfate, a sulfite ,or a combination thereof as a derivative of SOx. In some embodiments, the invention provides a building material in which the component comprising carbonates, bicarbonates, or combination thereof further includes a metal In some embodiments, the invention provides a building material that includes a metal in which the metal includes lead, arsenic, mercury or cadmium of combinations thereof.

[0005] In some embodiments, the invention provides a flowable composition that includes carbonates, bicarbonates or a combination of carbonates and bicarbonates, in which the carbon in the carbonates, bicarbonates or combination of carbonates and bicarbonates has a relative carbon isotope composition (δ¹³C) value less than -5.00 %o, and the viscosity of the composition is between 1 and 2000 cP. In some embodiments, the invention provides a flowable composition m which the viscosity if between 10 and 1000 cP. In some embodiments, the invention provides a flowable composition m which the composition is a synthetic composition. In some embodiments, the invention provides a flowable composition in which the carbonates, bicarbonates, or combination thereof make up at least 10% w/w of the composition. In some embodiments, the invention provides a flowable composition in which the CO₂ content of the composition of at least 10%. In some embodiments, the invention provides a flowable composition in which the composition has a negative carbon footprint. In some embodiments, the invention provides a flowable composition that further includes boron, sulfur, or nitrogen in which the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin In some embodiments, the invention provides a flowable composition m which the carbonates, bicarbonates, or combination thereof include calcium, magnesium or a combination thereof. In some embodiments, the invention provides a flowable composition m which the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1. In some embodiments, the invention provides a flowable composition m which the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15 In some embodiments, the invention provides a flowable composition in which the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10 In some embodiments, the invention provides a flowable composition that further includes SOx or a derivative thereof. In some embodiments, the invention provides a flowable composition that further includes a metal In some embodiments, the invention provides a flowable composition that includes a metal in which the metal includes lead, arsenic, mercury, or cadmium of a combination thereof. [0006] In some embodiments, the invention provides a synthetic composition that includes carbonates, bicarbonates, or a combination of carbonates and bicarbonates, in which the carbon in the composition has a relative carbon isotope composition (5¹³C) value less than -5 00 %o and the composition is carbon negative. In some embodiments, the invention provides a synthetic composition m which the carbonates, bicarbonates, or combination thereof make up at least 50% of the composition. In some embodiments, the invention provides a synthetic composition m which the composition has a mass of greater than 100kg In some embodiments, the invention provides a synthetic composition in which the CO₂ content of the composition is at least 10%. In some embodiments, the invention provides a synthetic composition that further includes boron, sulfur, or nitrogen m which the relative isotopic composition of the boron, sulfur or nitrogen is indicative of a fossil fuel origin. In some embodiments, the invention provides a synthetic composition m which the carbonate, bicarbonates, or combination thereof include calcium, magnesium or a combination thereof. In some embodiments, the invention provides a synthetic composition in which the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1. In some embodiments, the invention provides a synthetic composition m which the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15 In some embodiments, the invention provides a synthetic composition in which the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10 In some embodiments, the invention provides a synthetic composition that further includes SOx or a derivative thereof. In some embodiments, the invention provides a synthetic composition that further includes a metal. In some embodiments, the invention provides a synthetic composition that further includes a metal m which the metal includes lead, arsenic, mercury, or cadmium or a combination thereof. [0007] In some embodiments, the invention provides a method of characterizing a synthetic composition that includes determining a relative carbon isotope composition (δ¹³C) value for the composition. In some embodiments, the invention provides a method of characterizing a synthetic composition in which the composition is a building material, or a material for underground storage In some embodiments, the invention provides a method of characterizing a synthetic composition m which the composition is a cementitious composition, or an aggregate. In some embodiments, the invention provides a method of characterizing a synthetic composition in which the composition is a composition for storage of CO2. In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes determining the stability of the composition for release of CO₂ In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes measuring the carbon content for the composition. In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes comparing the δ¹³C value of the composition to another δ¹³C value In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes comparing the δ C value of the composition to another δ C value, in which the other δ¹³C value is a reference δ¹³C value. In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes comparing the δ¹³C value of the composition to another δ¹³C value, in which the other δ¹³C value is a value for a possible raw material for the composition. In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes comparing the δ¹³C value of the composition to another δ¹³C value, in which the other δ¹³C value is a value for a fossil fuel, a flue gas derived from the fossil fuel, a water source, or a combination thereof. In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes determining whether the composition includes sequestered CO2 from a fossil fuel source based on the comparison of the δ¹³C value of the composition to a reference δ¹³C value. In some embodiments, the invention provides a method of characterizing a synthetic composition that further includes quantifying the amount of carbon dioxide sequestered m the composition. [0008] In some embodiments, the invention provides a method of fingerprinting a composition that includes determining the values for stable isotopes of a plurality of elements, or the values for the ratios of stable isotopes of a plurality of elements m the composition to determine an isotopic fingerprint for the composition, in which the composition includes carbonates, bicarbonates, or a combination of carbonates and bicarbonates. In some embodiments, the invention provides a method of fingerprinting a composition in which the stable isotopes include isotopes of carbon, sulfur, nitrogen or boron or combinations thereof. In some embodiments, the invention provides a method of fingerprinting a composition in which the composition is a building material or a material for underground storage In some embodiments, the invention provides a method of fingerprinting a composition m which the composition is a composition for storing compounds of elements of at least two of the isotopes so determined. In some embodiments, the invention provides a method of fingerprinting a composition that further includes comparing at least two of the values for stable isotopes or at least two of the values for the ratios of stable isotopes, or a combination thereof In some embodiments, trie invention provides a method of fingerprinting a composition that further includes determining the probable source of one or more components of the composition based on the isotopic fingerprint of the material

[0009] In some embodiments, the invention provides a method of determining whether or not a composition contains an element sequestered from a fossil fuel source, the method includes determining an isotopic value or ratio of isotopic values for the element, comparing the determined value with a reference isotopic value or ratio of isotopic values, and determining whether the composition contains an element sequestered from a fossil fuel source In some embodiments, the invention provides a method of determining whether or not a composition contains an element sequestered from a fossil fuel source in which the element is carbon, sulfur, nitrogen, or boron In some embodiments, the invention provides a method of determining whether or not a composition contains an element sequestered from a fossil fuel source m which the element is carbon and the comparison is a δ¹³C value [0010] Provided is a synthetic composition with a neutral or negative carbon footprint comprising carbonates or bicarbonates or a combination thereof, where the carbon m the composition has a relative carbon isotope composition (δ¹³C) value of -5 00 %o or less. [0011] Provided is a synthetic composition comprising carbonates or bicarbonates or a combination thereof, where the carbon in the composition has a relative carbon isotope composition (δ¹³C) value of -22 00 %o or less. In some embodiments, such compositions have neutral or negative carbon footprints In some embodiments, the carbonates and/or bicarbonates comprise carbonates and/or bicarbonates of beryllium, magnesium, calcium, strontium, barium or radium or combinations thereof In some embodiments, the carbonates and/or bicarbonates comprise carbonates and/or bicarbonates of calcium or magnesium or combinations thereof In some embodiments, the composition contains calcium and magnesium and the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1 In some embodiments, the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15 In some embodiments, the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10 In some embodiments, the calcium to magnesium (Ca/Mg) molar ratio is between 1/9 to 2/5 In some embodiments, the composition further includes particulates from an industrial process In such embodiments, the industrial process comprises the combustion of a fossil fuel In such embodiments, the fossil fuel comprises coal In some embodiments, the particulates from the industrial process comprise flyash In some embodiments, the composition further comprises NO_x or a deπvative thereof In some embodiments, the composition further comprises SO_x or a derivative thereof In some embodiments, the composition further comprises VOCs or a deπvative thereof In some embodiments, the composition further comprises a metal In such embodiments, the metal comprises lead, arsenic, mercury or cadmium or combinations thereof

[0012] Provided is a building material comprising a component comprising carbonates or bicarbonates or a combination thereof where the carbon in the carbonates and/or bicarbonates has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o In some embodiments, the component comprising carbonates and/or bicarbonates m the building material constitutes at least 5% of the building material In some embodiments, the building material is a cementitious material In some embodiments, the building material is a mortar, a pozzolamc material, or a supplementary cementitious material or combinations thereof In some embodiments, the building material is cement or concrete In some embodiment, the building material is non- cementitious In some embodiments, the building material is aggregate In some embodiments, the aggregate is coarse aggregate In some embodiments, the aggregate is fine aggregate In some embodiments, the aggregate is reactive aggregate In some embodiments, the aggregate is non-reactive or inert aggregate In some embodiments, the aggregate is formed or cast aggregate In some embodiments, the building material is a roadway material In some embodiments, the roadway material is a road base In some embodiments, the roadway material is a paving material In some embodiments, the material is a non-cementitious material and the non- cementations building material is a brick, a board, a conduit, a beam, a basm, a column, a tile, a fiber sidmg product, a slab, an acoustic barrier, plaster, dry- wall, stucco, a soil stabilization composition, or insulation or combinations thereof In some embodiments, the composition further includes particulates from an industrial process In such embodiments, the industrial process comprises the combustion of a fossil fuel In such embodiments, the fossil fuel comprises coal In some embodiments, the particulates from the industrial process comprise flyash In some embodiments, the composition further comprises NO_x or a derivative thereof In some embodiments, the composition further comprises SO_x or a derivative thereof In some embodiments, the composition further comprises VOCs or a derivative thereof In some embodiments, the composition further comprises a metal In such embodiments, the metal comprises lead, arsenic, mercury or cadmium or combinations thereof

[0013] Provided is a non-buildmg material comprising a component comprising carbonates or bicarbonates or a combination thereof where the carbon in the carbonates and/or bicarbonates has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o In some embodiments, the component comprising carbonates and/or bicarbonates m the non-buildmg material are carbon-neutral or carbon-negative In some embodiments, the component comprising carbonates and/or bicarbonates m the non-buildmg material constitutes more than 5% of the building material In some embodiments, the non-buildmg material is a household or commercial ceramic product, a paper product, a polymeric product, a lubricant, an adhesive, a rubber product, a chalk, a paint, a personal care product, a cleaning product, a personal hygiene product, a cosmetic, an mgestible product, a liquid mgestible product, a solid mgestible product, an animal mgestible product, an agricultural product, a soil amendment product, a pesticide, an environmental remediation product, a forest soil restoration product, or a product for neutralization of over acidified water

[0014] Provided is a synthetic composition comprising carbonates or bicarbonates or a combination thereof where the carbon in the composition has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o and the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year In some embodiments, the composition has a neutral or negative carbon footprint In some embodiments, the composition is a solid precipitate In some embodiments, the carbonates and/or bicarbonates comprise carbonates and/or bicarbonates of beryllium, magnesium, calcium, strontium, barium or radium or combinations thereof In some embodiments, the carbonates and/or bicarbonates comprise carbonates and/or bicarbonates of calcium or magnesium or combinations thereof In some embodiments, the composition contains calcium and magnesium and the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1 In some embodiments, the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15 In some embodiments, the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10 In some embodiments, the calcium to magnesium (Ca/Mg) molar ratio is between 1/9 to 2/5 In some embodiments, the composition further includes particulates from an industrial process In such embodiments, the industrial process comprises the combustion of a fossil fuel In such embodiments, the fossil fuel comprises coal In some embodiments, the particulates from the industrial process comprise flyash In some embodiments, the composition further comprises NO_x or a derivative thereof In some embodiments, the composition further comprises SO_x or a derivative thereof In some embodiments, the composition further comprises VOCs or a derivative thereof In some embodiments, the composition further comprises a metal In such embodiments, the metal comprises lead, arsenic, mercury or cadmium or combinations thereof [0015] Provided is a building material comprising a synthetic composition comprising carbonates or bicarbonates or a combination thereof where the carbon m the composition has a relative carbon isotope composition (6¹³C) value less than -5 00 %o and the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year In some embodiments, the building material is carbon-neutral or carbon-negative In some embodiments, the building material is a cementitious material In some embodiments, the building material is cement or concrete In some embodiments, the building material is a mortar, a pozzolamc material, or a supplementary cementitious material or combinations thereof In some embodiment, the building material is non-cementitious In some embodiments, the building material is aggregate In some embodiments, the aggregate is coarse aggregate In some embodiments, the aggregate is fine aggregate In some embodiments, the aggregate is reactive aggregate In some embodiments, the aggregate is non- reactive or inert aggregate In some embodiments, the aggregate is formed or cast aggregate In some embodiments, the building material is a roadway material In some embodiments, the roadway material is a road base In some embodiments, the roadway material is a pavmg material In some embodiments, the material is a non-cementitious material and the non-cementitious building material is a brick, a board, a conduit, a beam, a basm, a column, a tile, a fiber sidmg product, a slab, an acoustic barrier, plaster, dry- wall, stucco, a soil stabilization composition, or insulation or combinations thereof

[0016] Provided is a non-buildmg material comprising a component comprising a synthetic composition comprising carbonates or bicarbonates or a combination thereof where the carbon m the composition has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o and the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year In some embodiments, the carbonates and/or bicarbonates in the non-bmldmg material are carbon-neutral or carbon-negative In some embodiments, at least 5% of the non-buildmg material has a relative carbon isotope composition (6¹³C) value less than -5 00 %o and the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year

[0017] Provided is a synthetic composition including, but not limited to, magnesium carbonate and/or bicarbonate where the carbon m the composition has a relative carbon isotope composition (δ¹³C) value less than - 5 00 %o and the composition includes, but is not limited to, the mineral phases: magnesite, nesquehonite, hydromagnesite, huntite, magnesium calcite, dolomite, protodolomite or disordered dolomite or combinations thereof. In some embodiments, the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year.

[0018] Provided is a synthetic composition including, but not limited to, magnesium carbonate and/or bicarbonate where the carbon m the composition has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o and the composition is in the hydration state of 1,2,3,4,5, or 6 waters of hydration or combinations thereof. In some embodiments, the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year. [0019] Provided is a synthetic composition comprising calcium carbonate or bicarbonate or any combination thereof where the carbon m the composition has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o and the composition includes, but is not limited to, the mineral phases amorphous calcium carbonate, calcite, aragonite, or vaterite or combinations thereof. In some embodiments, the composition does not release more than 1% of its total CO2 when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year.

[0020] Provided is a synthetic composition comprising calcium carbonate or bicarbonate or any combination thereof where the carbon m the composition has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o and the composition is in the hydration state of 1,2,3, or 4 waters of hydration or combinations thereof. In some embodiments, the composition does not release more than 1% of its total CO2 when exposed to normal conditions of temperature and moisture, and rainfall of normal pH, for at least 1 year.

[0021] Provided is a method of producing at least 100 kilograms per day of carbon- containing material that has a relative carbon isotope composition (δ¹³C) value of less than -5 00 %o through carbon sequestration In some embodiments, the product has a neutral or negative carbon footprint

[0022] Provided is a method of characterizing a synthetic composition by determining a relative carbon isotope composition (6¹³C) value for the composition In some embodiments, the synthetic composition is a building material or a material for underground storage In some embodiments, the synthetic composition is a cementitious composition or an aggregate In some embodiments, the synthetic composition is a composition for storage of CO₂ In some embodiments, the method includes the step of determining the stability of the composition for release of CO₂ In some embodiments the methods includes the step of determining the carbon content of the composition In some embodiments, the method includes the step of comparing the 6¹³C value of the composition to another δ¹³C value, m some cases the other δ¹³C value is a standard δ¹³C values, in other cases a δ¹³C value for a possible raw material for producing the composition In some cases, the other δ¹³C value used for comparison is that of a raw material that could be a fossil fuel, flue gas derived from the fossil fuel, a water source or a combination thereof In some embodiments, the method further comprises determining whether the composition comprises sequestered CO2 from a fossil fuel source based upon comparing the δ¹³C values In some embodiments, the amount of carbon dioxide sequestered m the composition is quantified [0023] Provided is a method of fingerprinting a composition comprising determining the values for stable isotopes of a plurality of elements, or the values for the ratios of stable isotopes of a plurality of elements m the composition to determine an isotopic fingerprint for the composition In some embodiments, the stable isotopes comprise isotopes of carbon, sulfur, nitrogen or boron or combinations thereof In some embodiments, the composition is a building material or a material for underground storage In some embodiments, the method includes the step of comparing at least two of the values for stable isotopes or at least two of the values for the ratios of stable isotopes, or a combination thereof In some embodiments, the method includes the step of determining the probable source of one or more of the components of the composition based on the isotopic fingerprint of the material In some embodiments, the probable source of one or more of the components is a fossil fuel

[0024] Provided is a method of determining whether or not a composition contains an element sequestered from a fossil fuel source comprising determining an isotopic value or a ratio of isotopic values for the element In some embodiments, the element is carbon, sulfur, nitrogen or boron In some embodiments, the method further comprises the step of comparing the isotopic value or ratio of isotopic values to a standard value In some embodiments, the element is carbon and the comparison is a δ¹³C value

INCORPORATION BY REFERENCE

[0025] All publications, patents, and patent applications mentioned m this specification are herein incorporated by reference to the same extent as if each individual publication, patent, or patent application was specifically and individually indicated to be incorporated by reference BRIEF DESCRIPTION OF THE DRAWINGS

[0026] The novel features of the invention are set forth with particularity m the appended claims. A better understanding of the features and advantages of the present invention will be obtained by reference to the following detailed description that sets forth illustrative embodiments, in which the principles of the invention are utilized, and the accompanying drawings of which:

[0027] Figure 1 provides an exemplary carbon sequestration process.

[0028] Figure 2 provides a diagram of the method of preparing samples for analysis with bench-top instrumentation used to obtain 6¹³C values.

[0029] Figure 3 provides a diagram of the production of precipitate material from carbon dioxide containing gas and brucite tailings on the laboratory scale. Indicated in the diagram are the materials (gas, liquid, and solid) that were characterized

[0030] Figure 4 provides a diagram of the production of precipitate material from carbon dioxide containing gas and brucite tailings on a large scale in a 250,000 gallon tank Indicated in the diagram are the materials (gas, liquid, and solid) that were characterized.

[0031] Figure 5 provides a diagram of the production of precipitate material from carbon dioxide containing gas and brucite tailings in a continuous process. Indicated in the diagram are the materials (gas, liquid, and solid) that were characterized

[0032] Figure 6 provides a diagram of the production of precipitate material from carbon dioxide containing gas and fly ash m a laboratory scale process. Indicated m the diagram are the materials (gas, liquid, and solid) that were characterized.

[0033] Figure 7 provides a comparison of ⁸¹³C data from literature, the source of the carbon dioxide containing gas, the industrial waste, precipitate, and supernate from a laboratory scale process using brucite tailings as the industrial waste.

[0034] Figure 8 provides a comparison of ⁶¹³C data from literature, the source of the carbon dioxide containing gas, the industrial waste, precipitate, and supernate from a large scale process using brucite tailings as the industrial waste

[0035] Figure 9 provides a comparison of ⁶¹³C data from literature, the source of the carbon dioxide containing gas, the industrial waste, precipitate, and supernate from a continuous process using brucite tailings as the industrial waste [0036] Figure 10 provides a comparison of ⁸¹³C data from literature, the source of the carbon dioxide containing gas, the industrial waste, precipitate, and supernate from a laboratory scale process using fly ash as the industrial waste

DETAILED DESCRIPTION OF THE INVENTION

[0037] The invention provides compositions containing elements with certain relative element isotope composition value or values, and methods for determining the content of compositions in terms of the relative element isotopic value or values. In some embodiments, the invention provides compositions, e.g., synthetic compositions containing carbon with a negative relative carbon isotope composition (δ¹³C) value, and methods for analyzing carbon in a composition to determine δ¹³C values, e.g., to verify that some or all of the carbon in the composition is from a carbon sequestration process. In some embodiments, other elements, such as sulfur, boron, or mtrogen, may be similarly present and/or characterized according to their isotopic content or isotopic ratios, and in addition other substances, such as sulfites, sulfates, or heavy metals, may also be present in the compositions and may be analyzed The compositions and methods find use m applications where it is desired to use materials that are the product of sequestration of substances whose release into the environment is undesirable, such as carbon dioxide, sulfur oxides, nitrogen oxides, heavy metals, and other substances produced m, e.g., the burning of fossil fuels, and verifying the source of carbon and the like m such materials

[0038] Before the present invention is described in greater detail, it is to be understood that this invention is not limited to particular embodiments described, as such may, of course, vary. It is also to be understood that the terminology used herein is for the purpose of describing particular embodiments only, and is not intended to be limiting, since the scope of the present invention will be limited only by the appended claims. [0039] Where a range of values is provided, it is understood that each intervening value, to the tenth of the unit of the lower limit unless the context clearly dictates otherwise, between the upper and lower limit of that range and any other stated or intervening value in that stated range, is encompassed within the invention The upper and lower limits of these smaller ranges may independently be included in the smaller ranges and are also encompassed within the invention, subject to any specifically excluded limit m the stated range. Where the stated range includes one or both of the limits, ranges excluding either or both of those included limits are also included m the invention [0040] Certain ranges are presented herein with numerical values being preceded by the term "about." The term "about" is used herein to provide literal support for the exact number that it precedes, as well as a number that is near to or approximately the number that the term precedes. In determining whether a number is near to or approximately a specifically recited number, the near or approximating unrecited number may be a number which, m the context in which it is presented, provides the substantial equivalent of the specifically recited number [0041] Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Although any methods and materials similar or equivalent to those described herein can also be used in the practice or testing of the present invention, representative illustrative methods and materials are now described.

[0042] All publications and patents cited in this specification are herein incorporated by reference as if each individual publication or patent were specifically and individually indicated to be incorporated by reference and are incorporated herein by reference to disclose and describe the methods and/or materials m connection with which the publications are cited The citation of any publication is for its disclosure prior to the filing date and should not be construed as an admission that the present invention is not entitled to antedate such publication by virtue of prior invention Further, the dates of publication provided may be different from the actual publication dates which may need to be independently confirmed

[0043] It is noted that, as used herein and in the appended claims, the singular forms "a," "an," and "the" include plural references unless the context clearly dictates otherwise It is further noted that the claims may be drafted to exclude any optional element As such, this statement is intended to serve as antecedent basis for use of such exclusive terminology as "solely," "only" and the like m connection with the recitation of claim elements, or use of a

"negative" limitation

[0044] As will be apparent to those of skill m the art upon reading this disclosure, each of the individual embodiments described and illustrated herein has discrete components and features which may be readily separated from or combined with the features of any of the other several embodiments without departing from the scope or spirit of the present invention Any recited method can be carried out m the order of events recited or m any other order which is logically possible

Introduction

[0045] In further describing the subject of the invention, methods used to measure isotopic ratio values, e g , δ¹³C values and element content, e g , carbon content, m compositions will be presented Methods of tracking or verifying the origin of, e g , carbon, in a composition will also be described Then compositions contaimng elements with certain isotopic ratios, e g , δ¹³C values, will be described

Method for Determining Relative Isotopic Values [0046] In one aspect the invention provides methods of characterizing a composition by determining its relative isotope composition ratio value Although various isotopes may be used, all of which have isotopic ratios that may be compared with standard ratios — e g , carbon, oxygen, sulfur, boron, and nitrogen — the following description focuses primarily on carbon, and the relative carbon isotopic ratio, or δ¹³C value It will be understood that the discussion applies equally to other appropriate elements as well In some embodiments, the elemental content, e g , carbon content of the composition is determined as well In some embodiments, the methods further include verifying that the composition contains carbon from CO₂ that is from a particular source, e g , a fossil fuel source, such as by comparing the value determined for carbon content and relative carbon isotope composition ratio with a standard value, a raw material value, or the like The composition may be a composition m which carbon, e g , carbon dioxide, from a fossil fuel source is stored In some cases it is desirable to use such a composition m, e g , a structure or a roadway, m preference to other materials, m order to ensure the sequestration of carbon dioxide and, optionally, other undesirable substances, in the built environment In some cases it is desirable to use such a composition, e g , a slurry or solution, as a sequestration medium for the long-term storage of carbon dioxide and, optionally, other undesirable substances Thus in some embodiments the methods further include determining the stability of the composition for carbon dioxide storage, e g , determining the rate of release of carbon dioxide under set conditions

[0047] In some embodiments, the methods include measuring the isotopic value, such as the relative isotope ratio value, for a plurality of elements, e g , two or more of carbon, sulfur, nitrogen, oxygen, and boron, making it possible to isotopically "fingerprint" a particular composition [0048] The methods of the invention are useful, e g , to verify that some or substantially all of the carbon and, in some cases, other elements, m a composition originated in a fossil fuel Stable isotopes and isotope fractionation

[0049] Many elements have stable isotopes, and these isotopes may be preferentially used m various processes, e g , biological processes An example is carbon, which will be used to illustrate most of the methods described herein, however, it will be appreciated that these methods are also applicable to other elements with stable isotopes if their ratios can be measured m a similar fashion to carbon, such elements include nitrogen, oxygen, sulfur, and boron Methods for measuring isotope ratios of these elements are well-known

[0050] The relative carbon isotope composition (6¹³C) value with units of %o (per mil) is a measure of the ratio of the concentration of two stable isotopes of carbon, namely ¹²C and ¹³C, relative to a standard of fossilized belemnite

(the PDB standard)

δ¹³C > ^~ [ ( C/ C sample - C/ C PDB standard ) / ( C/ C PDB standard ) ] ^x 1000

[0051] C is preferentially taken up by plants during photosynthesis and m other biological processes that use inorganic carbon because of its lower mass The lower mass of ¹²C allows for kmetically limited reactions to proceed more efficiently than with ¹³C Thus, materials that are derived from plant material, e g , fossil fuels, have relative carbon isotope composition values that are less than those derived from inorganic sources The carbon dioxide m flue gas produced from burning fossil fuels reflects the relative carbon isotope composition values of the organic material that was fossilized Table 1 lists relative carbon isotope composition value ranges for relevant carbon sources for comparison

[0052] Material incorporating carbon from burning fossil fuels reflects δ¹³C values that are more like those of plant derived material, i e less, than that which incorporates carbon from atmospheric or non-plant marine sources Verification that the material produced by a carbon dioxide sequestering process is composed of carbon from burning fossil fuels can include measuring the δ¹³C value of the resultant material and confirming that it is not similar to the values for atmospheric carbon dioxide, nor marine sources of carbon

Table 1 Relative carbon isotope composition (δ¹³C) values for carbon sources of interest

1 Holdgate, G R et al , Global and Planetary Change, 65 (2009) pp 89-103

2 Elswick, E R et al , Applied Geochemistry, 22 (2007) pp 2065-2077 [0053] In some embodiments the invention provides a method of characterizing a composition comprising measuring its relative carbon isotope composition (δ¹³C) value. In some embodiments the composition is a composition that contains carbonates, e g., magnesium and/or calcium carbonates. Any suitable method may be used for measuring the δ¹³C value, such as mass spectrometry or off-axis integrated-cavity output spectroscopy (off- axis ICOS)

[0054] One difference between the carbon isotopes is in their mass. Any mass-discerning technique sensitive enough to measure the amounts of carbon can be used to find ratios of the ¹³C to ¹²C isotope concentrations. Mass spectrometry is commonly used to find 6¹³C values Commercially available are bench-top off-axis mtegrated- cavity output spectroscopy (off-axis ICOS) instruments that are able to determine 6¹³C values as well. These values are obtained by the differences in the energies in the carbon-oxygen double bonds made by the ¹²C and ¹³C isotopes in carbon dioxide. The δ¹³C value of a carbonate precipitate from a carbon sequestration process serves as a fingerprint for a CO₂ gas source, as the value will vary from source to source, but in most carbon sequestration cases δ¹³C will generally be m a range of -9%o to -35%o. [0055] In some embodiments the methods include the measurement of the amount of carbon in the composition. Any suitable technique for the measurement of carbon may be used, such as coulometry. Carbon measurements may be used in some cases to quantitate the amount of carbon dioxide sequestered in a composition. Isotope measurements may be used to verify that the source of the carbon m a composition is what it is claimed to be. [0056] A further feature of some embodiments of the invention includes comparing the δ¹³C value for the composition with another δ¹³C value; this other δ¹³C value may be a standard value, a value for a possible raw material in the composition (e.g., coal, oil, natural gas, or flue gas), or any other value that gives useful information for the comparison In some embodiments, the δ¹³C value for the composition is compared to a fixed value or range of values, such as a value between -l%o and -50%o, or between -5%o and -4O%o or between -5%o and -35%o, or between -7%o and -4O%o or between -7%o and -35%oor between -9%oand -4O%o or between -9%o and -35%o, or a comparison to a value that is -3%o, -5%o, -6%o, -7%o, -8%o, -9%o, -10°/oo, -1 l%o, -12%o, -13%o, -14%o, -15%o, - 16%o, -17%o, -18%o, -19%o, -20%₀, -21%o, -22%o, -23%o, -24%o, -25%o, -26%o, -27%o, -28%o, -29%o, -30%₀, -31%o, -32%o, -33%o, -34%o, -35%o, -36%o, -37%o, -38%o, -39%o, -40%o, -41%o, -42%o, -43%o, -44%o, or - 45%o In some embodiments, a value less than a fixed value is indicative that some or substantially all of the carbon in the composition is of fossil fuel origin, e.g. a value less than any of the values given herein, such as a value less than -7%o, or a value less than -lθ%o, or a value less than -15%o, or a value less than -2O%o, or a value less than - 25%o, or a value less than -3O%o, or a value less than -35%o, a value less than -4O%o.

[0057] In some embodiments, the δ¹³C value for the composition is compared to a value for a possible raw material of the composition For example, the δ¹³C value for the composition may be compared to a δ¹³C value, or a range of δ¹³C values, for a fossil fuel, such as a natural gas, an oil, a coal or a particular type of coal, or such as a flue gas produced from burning a natural gas, an oil, a coal or a particular type of coal This can be particularly useful in verifying that the composition contains CO₂ from the fossil fuel and/or from the burning of the fossil fuel As an example only, if the δ¹³C value for a coal is -34%o and the δ¹³C value for a composition that is claimed to have sequestered CO₂ from the burning of the coal is equal to or within a certain range of -34%o (which can be any suitable range, depending on measurement conditions, variations in the coal, variations in the flue gas from the coal, etc., e.g., ±l%o, or ±2%o , or ±3%o , or ±4%o , ±5%o), this may be considered verification, m whole or m part, that the carbon in the composition originated in the fossil fuel In the above example, if the acceptable range is ±3%o and the composition has a δ¹³C value of -32%o then the δ¹³C value would be considered consistent with an origin for the carbon in the composition from that particular coal. Other factors may be considered m the verification, as appropriate. In some embodiments the 6¹³C value is the sole factor considered.

[0058] Some embodiments further involve quantifying the amount of CO₂ sequestered from a source of CO₂, e g. a fossil fuel source, in a composition For example, coulometry may be used to determine the relative amount of carbon in a composition, and isotopic ratio values may be used to verify that the carbon is wholly or partially of fossil fuel origin It is then a simple calculation to determine the amount of CO₂ (or carbon) sequestered in the composition, given the relative amount of the carbon that is of fossil fuel origin and the total carbon. [0059] Other embodiments of the invention include determining isotopic values or isotopic ratios compared to a standard that are similar to 5¹³C values, for elements other than carbon, or in addition to carbon, in a composition Such elements include, but are not limited to, oxygen, nitrogen, sulfur, and boron The isotopic value for any such element, or combination of elements, may be measured by techniques similar to those used for carbon. Such techniques and methods of expressing isotopic ratios in comparison with a standard are well-known m the art, e.g , 8¹¹B values for boron and δ³⁴S values for sulfur. Thus in some embodiments the invention provides methods of isotopically fingerprinting a composition by determining a plurality of isotopic values or isotopic ratio values, or a combination thereof, for the composition. In some embodiments, the quantity of the element or its compounds in the composition is also determined. In some embodiments one or more of the isotopic components of the isotopic fingerprint is used m combination with quantitation of the element/compound represented by the isotope to determine the total amount of the element/compound m the composition that is of a particular origin, e.g., that is of fossil fuel origin In addition, isotopic ratios may be altered during combustion and other processing of a fossil fuel (e.g-, for boron and/or sulfur), and these alterations may be taken into account in some embodiments to further refine the verification and/or quantification analysis.

[0060] In some embodiments, the isotopic values or isotopic ratio values, or a combination thereof, are determined for two or more of carbon, sulfur, oxygen, nitrogen, and boron. In some embodiments an isotopic fingerprint for carbon and sulfur is determined, e.g., a 5¹³C values for carbon and δ³⁴S value for sulfur. In some embodiments an isotopic fingerprint for carbon and boron is determined, e.g., a δ¹³C values for carbon and O¹¹B value for boron. In some embodiments an isotopic fingerprint for carbon, sulfur, and boron is determined, e.g., a δ¹³C values for carbon, δ³⁴S value for sulfur, and O¹¹B value for boron.

[0061] The isotopic fingerprint may be used to verify the source of the elements m the composition, e.g , in a protocol to verify that the composition contains elements of fossil fuel origin. This is useful because many of the elements, e.g. carbon and sulfur or their oxides or other compounds, are subject to regulation, such as cap and trade systems or other regulatory systems, m various parts of the world. Thus the techniques of the invention may be used, e g , in such a system, to verify and/or quantitate capture of the elements and/or their compounds This verification and/or quantitation can be used to confirm compliance with regulations, to calculate credits or penalties for sequestration of the elements or compounds, e.g., carbon dioxide, sulfur oxides, nitrogen oxides, and any other element or compound subject to regulation for which isotopic measurements may be performed, and for any other suitable use as will be apparent to those of skill m the art.

[0062] For example, to show that carbon dioxide sequestration occurs during a process, the total amount of carbon dioxide gas coming out of a process is shown to be less than the total amount of carbon dioxide gas entering the process; in addition the origin of the carbon dioxide m the exiting gas may be shown to be the same as that of the gas entering the process and/or a product of the process is show to have sequestered the CO₂ from the gas.

"Fingerprinting" a material correlates the carbon, and/or other elements, contained in the material to a source by measuring and comparing the ratios of stable isotopes of carbon and/or other elements, such as nitrogen and sulfur As users of materials seek to obtain carbon credits when using materials, this method will be useful to prove carbon dioxide sequestration and show a material to be carbon negative.

[0063] Shown in figure 1 is a carbon dioxide sequestration process that has three possible sources of carbon. They are: the gas stream that contains CO₂ [100], the air above the solution where the sequestration process takes place [105], and the water or solution [110] of the shown sequestration process, e.g. sea water, brine, or other ionic solution The amount of carbon m each can be measured. For the incoming CO₂ containing gas stream [100], the partial pressure of CO₂ gas is measured, e g. using a commercially available gas probe as is known to those skilled in the art. The flow rate of the CO₂ containing gas is also measured or regulated. By knowing the volume of gas from the flow rate and the concentration of CO₂ in the gas, the total amount of CO₂ that goes into the process is known Air is a mixture of oxygen (O₂), nitrogen (N₂), CO₂, water vapor, ozone, and other gases Similar to what is measured for the incoming CO₂ gas stream, to characterize the air m the system [105], the partial pressure of CO₂IS measured, e.g. using a commercially available probe, and the volume of air is known based upon the dimensions of the reaction vessel. These values for the air in the system give us the amount of carbon contributed by the air. Any suitable method, e g coulometry, is used to measure the concentration of carbon in the water [110] Both the inorganic and the organic carbon content can be measured using coulometry by varying the digestion liquid In general, the organic carbon does not participate m the reactions and thus is not included m the accounting of carbon in the sequestration process.

[0064] There are four components that result from the CO₂ sequestration process of the example [115] that may contain carbon. These components are: the effluent gas [120], the desired product [130], the effluent liquid [135], and the air in contact with the product and effluent liquid after the reaction takes place [125]. As mentioned above, the amount of carbon m the gas components is determined using a commercially available probe to determine the partial pressure of carbon dioxide in conjunction with the volume of gas m the system The amount of carbon in the liquid and solid components is measured using coulometry. These materials are also characterized by their 5¹³C values using mass spectrometry or off-axis ICOS. The product's 5¹³C value [130] is compared to the value of the incoming CO₂ gas stream [100], to its fingerprint. A 6¹³C for a product that is close to that of the incoming CO₂, e.g., that is still very strongly negative, is indicative of the fact that the carbon m the product did not come from the water [110] or air [105] Water and air typically have only mildly negative δ¹³C values, not less than -8%o, to be measured in this method of material and process characterization. [0065] Comparing the amount of carbon m the incoming components to the amount of carbon in the components resulting from the sequestration process shows whether or not any carbon is unaccounted for. This mass balance m conjunction with the δ¹³C fingerprinting shows that some portion of the CO₂ leaves the incoming gas stream, is not present in the effluent gas stream, and is incorporated into the product

[0066] The exemplary process shown in figure 1 is a process [115] during which the CO₂ from the incoming gas dissolves [100] into the solution, reacts with ions in the solution, and forms a material which serves to remove the CO₂ from the incoming gas in a form that may be stored over a long term, or that may be converted to such a form. The process may produce a solution, a precipitated material, or a slurry, so long as the ultimate product is suitable for long-term storage The isotopic content or ratio, e g , δ¹³C value, of any component may be measured at any stage of the process in order to obtain both a quantitative and/or qualitative measure of the fate of the original CO₂. In addition, carbon measurements, by e g., coulometry, allow the exact quantitation of the fate of the CO₂. In the case of any measurement, multiple samples may be obtained, either from a material or over time, for example, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 or more than 10 samples may be obtained and analyzed. Thus, for product produced in large lots, and/or produced continuously, a suitable number of samples may be taken to indicate the overall δ¹³C value and/or carbon content of the entire amount of material In the example shown m Fig 1, CO₂ may enter the process from the gas containing CO₂ (e g , flue gas from fossil fuel burning), from the air m contact with the water into which the gas containing CO₂ is being dissolved [105], and from the water itself [110] The δ¹³C value for one, two, or all of these may be measured, and the concentration of CO₂, and flow rate, of each may also be measured Similar measurements may be made of the effluent gas [120], the air m contact with the drying product of the precipitation step and/or the liquid effluent [125], the product (e g , a solid material contaimng carbonates or a liquid slurry of carbonates and/or bicarbonates) [130], and the liquid effluent [135] Any additional sources or sinks for CO₂ may be similarly tested and accounted for Knowing the flow rates, volumes, times of flow, 5¹³C values, and CO₂ concentrations/amounts in each of the sources and sinks, it is straightforward to calculate mass balances and to confirm, e g , sequestration of CO₂ into the product from the original flue gas, and to quantitate the amount of CO₂ sequestered It will be appreciated that different sources of flue gas, e g , different fossil fuels such as coals from various locations, may have different δ C values, and the product produced at a given location, using given raw materials, may be identified or confirmed based on such δ¹³C values While one way to do this is to compare the 6¹³C of a putative product with the δ¹³C value of the fossil fuel from which it is said to have come, or the CO₂ from the burning of said fossil fuel, it is also possible to sample individual lots of product, or representative samples of a number of lots, m order to use a δ¹³C that is empirically derived from product itself Either approach, or a combination, may be taken toward verification and identification of counterfeit materials

[0067] It will also be appreciated that other elements, such as sulfur, boron, and/or nitrogen, which are present m the fossil fuel will likely have their own isotopic ratio values that are specific to the specific type of fossil fuel, e g , to the specific type and geographic origin of coal used, and potentially even to particular batches of coal If the δ¹³C value is combined with one or more of these values a unique "fingerprint" for the origin of the material may be obtained, which may be compared against the fingerprint for a composition which is claimed to sequester carbon and/or other substances from the fossil fuel Thus, m some embodiments, the invention provides methods of verifying the source of a composition by determining a δ¹³C value for the composition and an isotopic composition value for one or more of sulfur, boron, or nitrogen These isotopic values or combinations of values may be used alone, or the amounts of each element, and/or ratios thereof, may be used (e g , the ratio of carbon to boron, or carbon to sulfur, or sulfur to boron, etc ), to verify the origin of the composition As with isotopic ratios, when amounts of the element itself are used, the amounts m the composition may be compared to actual samples taken at the supposed point of origin, 1 e , the site of sequestration, to determine if there is a match Combinations of amounts and isotopic ratios offer an extremely powerful method of exactly typing and verifying a composition, and are included m embodiments of the invention

[0068] Other substances that are optionally sequestered m the precipitated composition, or in the solution, include one or more of sulfur oxides (SO_x, e g , SO₂ and SO₃), nitrogen oxides (NO_x, e g , NO or NO₂), heavy metals such as mercury, radioactive substances, and volatile organic compounds These substances or, m some cases, their derivatives, may also be measured and quantitated m the composition that is being analyzed, and values compared to actual or theoretical values to determine quantities removed from the flue gas (for regulatory and/or trading purposes), or, if the composition is an unknown composition or a composition that is claimed to originate in a particular fossil fuel, to verify that it did, indeed, so originate Thus, m some embodiments the invention include methods of analyzing a sample that include determining a δ¹³C value for the sample and determining a value for one or more of the content of SO_x or a derivative thereof, such as a sufate or a sulfite, e g , calcium or magnesium sulfate or sulfite, NO_x or a derivative thereof, or mercury or a derivative thereof such as mercuric chloride, and comparing the values to reference values, which may be empirically derived from actual samples of known origin, theoretically derived, or derived in any other suitable manner. In some embodiments the invention includes methods of analyzing a sample that include determining a 6¹³C value for the sample, determining a similar isotopic ratio value for one or more of boron, sulfur, or nitrogen, and determining a value for one or more of the content of SO_x or a derivative thereof, such as a sufate or a sulfite, e g , calcium or magnesium sulfate or sulfite, NO_x or a derivative thereof, or mercury or a derivative thereof such as mercuric chloride, and comparing the values to reference values, which may be empirically derived from actual samples of known origin, theoretically derived, or derived in any other suitable manner.

[0069] If desired, the relative carbon isotope composition value of the solution during the process can be monitored using, e g , mass spectrometry or off-axis ICOS The concentration of CO₂ dissolved into the solution may be calculated from the total alkalinity measurement. A measure of the total alkalinity of a known volume of solution will allow for the carbon dioxide content to be calculated. Monitoring the CO₂ dissolving into the solution while the process is progressing allows adjustments to be made to create the desired sequestration products and is an optional component of the method. [0070] It can be appreciated that this method is equally applicable to a wide variety of other products including but not limited to combustible fuel, environmental analytes, foods, and paint. Any material wherein the stable isotope content of source materials can be compared to that of the products can be characterized by this method. For example, ratios of stable isotopes for oxygen (¹⁶O and ¹⁸O), nitrogen (¹⁴N and ¹⁵N), sulfur (³²S and ³⁴S), hydrogen (¹H and ²H), and/or boron (¹⁰B and ¹¹B) can also be measured, e.g using mass-spectrometry It can also be appreciated that the amounts of these, and any other suitable element, may be measured using a variety of standard laboratory analytical techniques. These values may be used to trace other components m a product. For example, sulfur from flue gas may be traced in a product m an analogous manner to carbon. Similarly, nitrogen may also be traced. In this way, a "fingerprint" for a particular product may be produced. In the simplest case, the fingerprint is a value for a ratio of stable isotopes m a product (e.g. δ¹³C value). In other embodiments, a plurality of isotope ratios may be used, e.g. 2,3,4,5,6, or more than 6. In some embodiments a fingerprint for a product comprises a value for a stable carbon isotope or ratio values. In some embodiments a fingerprint for a product comprises a value for a stable sulfur isotope or ratio of values. In some embodiments a fingerprint for a product comprises a value for a stable nitrogen isotope or ratio values. In some embodiments a fingerprint for a product comprises a value for a stable boron isotope or ratio values. In some embodiments, a combination of values or ratios of values for stable isotopes for more than one element is used. In some embodiments, a combination of concentration values or ratios of concentrations for stable isotopes of carbon and sulfur are provided. In some embodiments, a combination of values or ratios of values for stable isotopes for more than one element is used. In some embodiments, a combination of concentration values or ratios of concentrations for stable isotopes of carbon and nitrogen are provided In some embodiments, a combination of values or ratios of values for stable isotopes for more than one element is used. In some embodiments, a combination of concentration values or ratios of concentrations for stable isotopes of carbon, nitrogen, and sulfur are provided. In some embodiments, a fingerprint for a product comprises a 6¹³C value In some embodiments, a fingerprint comprises a 6¹³C value and a δ³⁴S value. In some embodiments, a fingerprint comprises a δ¹³C value and a δⁿB value In some embodiments, a fingerprint comprises a 5¹³C value and a δ¹⁵N value. In some embodiments, a fingerprint comprises a δ¹³C value, a δ³⁴S value, and a δ¹⁵N value. In some embodiments, a fingerprint comprises a δ¹³C value, a 5³⁴S value, and a δ^πB value. In some embodiments, a fingerprint comprises a δ¹³C value, a 6¹¹B value, and a δ¹⁵N value Compositions Containing Carbon

[0071] In some embodiments the invention provides compositions containing carbon with negative relative carbon isotope composition (δ¹³C) values, e g , synthetic compositions Such values may be indicative of plant-based origins, e g flue gas from burning fossil fuel, and may be used to veπfy that the carbon m the composition comes partially or completely from the burning of fossil fuel Compositions that are likely to contain components from flue gas combustion, e g , CO₂ and optionally other components such as sulfur-, nitrogen-, and/or heavy metal-contammg components, are useful as vehicles to sequester such substances from the environment, and may also have other uses such as m the built environment In some embodiments, the composition is a synthetic composition Synthetic compositions provided m some embodiments of the invention are typically formed by any synthetic method that produces a product with carbon with a negative δ¹³C value, however, they may be formed by sequestering CO₂ gas m the synthetic composition, e g,, the composition may be formed by precipitating material from an aqueous solution into which CO2 gas from, e g , the burning of fossil fuel, has been introduced Other possible compositions, e g , synthetic compositions, of the invention include aqueous solutions containing, e g , carbonates and/or bicarbonates which have a negative δ¹³C value, or slurries contaimng both solids and aqueous liquids, either or both of which may contain, e g , carbonates and/or bicarbonates which have a negative 6¹³C value The compositions may be present m amounts of more than 1 kg, such as more than 10 kg, for example, more than 100 kg, more than 1000 kg, more than 100,000 kg, more than 1,000,000 kg or even more than 10,000,000 kg The compositions may, for example, have a mass of 1 kg to 10,000,000 kg, or 10 kg to 10,000,000 kg, or 100 kg to 10,000,000 kg, or 1000kg to 10,000,000kg, or 10,000kg to 10,000,000kg, or 1 kg to 1,000,000 kg, or 10 kg to 1,000,000 kg, or 100 kg to 1,000,000 kg, or 1000kg to 1,000,000kg, or 10,000kg to 1,000,000kg, or 1 kg to 100,000 kg, or 10 kg to 100,000 kg, or 100 kg to

100,000 kg, or 1000kg to 100,000kg, or 10,000kg to 100,000kg, or 1 kg to 10,000 kg, or 10 kg to 10,000 kg, or 100 kg to 10,000 kg, or 1000kg to 10,000kg, or 1 kg to 1000 kg, or 10 kg to 1000 kg, or 100 kg to 1000 kg In some cases the composition may be a solid mass In some cases the composition may be made up of particulate matter, m which individual particles are relatively small, e g , 0 1-1000 microns average diameter, or m some cases even 1000 microns to several centimeters or more m diameter, or combinations thereof, m which case the composition is considered to be the combined mass of the particles m a single batch, lot, container, or the like In the case of larger amounts of composition, it may be desirable to take multiple samples to determine an accurate value for, e g , δ¹³C value and/or carbon content Compositions of the invention may also have an average density that falls within a certain range, for example, m some embodiments, a composition of the invention has a bulk density of 50 lb/ft³ to 200 lb/ft³, and in certain embodiments a bulk density of 75 lb/ft³ to 125 lb/ft³ Compositions of the invention may also have an average hardness that falls within a certain ranges, such as m some embodiments a composition of the invention has an average hardness between 1 and 7 on the Mohs scale of hardness In some embodiments, a composition of the invention has an average hardness of at least 3 on the Mohs scale of hardness In some embodiments, a composition of the invention has an average hardness of at least 4 on the Mohs scale of hardness In some embodiments, a composition of the invention has an average hardness of at least 5 on the Mohs scale of hardness In some embodiments, a composition of the invention has an average hardness between 1 and 6 on the Mohs scale of hardness, such as between 1 and 5, such as between 2 and 5, such as between 1 and 4, such as between 2 and 6, such as between 2 and 4 on the Mohs hardness scale [0072] In some embodiments compositions of the invention comprise carbon with 6¹³C values less than -5 OO%o, - 6%o, -7%o, -8%o, -9%o, -lθ%o, -1 l%o, -12%o, -15%o, -17%o, -2O%o, -21 O%o, -21 7%o, -21 8%o, -21 9%o, - 22 O%o, -23 O%o, -24 0%₀, -25 0%o, -26 O%o, -27 0%o, -28 0%₀, -29 0%₀, -30 0%o, -31 0%₀, -32 0%₀, - 35 O%o, or -40 O%o In some of these embodiments the compositions may further have a carbon dioxide content (e g , m some embodiments m the form of carbonates, bicarbonates, or a combination of carbonates and bicarbonates) of at least 1% w/w, such as at least 10% w/w, for example, at least 20% w/w, and m some embodiments at least 30% w/w, 40% w/w or even 50% w/w Carbon dioxide content may be determined by any suitable analysis and/or calculation, as are known m the art In some embodiments the invention provides a composition, e g , a solid composition or a slurry of solid and aqueous solution, for which the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -5%o and in certain embodiments the 5¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -5%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -lθ%o, and in certain embodiments the 5¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -lθ%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -15%o, and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -15%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -20 O%o, and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -2O%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -22 O%o and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -22%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -23 O%o and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -23%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -24 O%o and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -24%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -25 O%o, and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -25%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -27 O%o and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -27%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -30 O%o and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -3O%o and the carbon dioxide content is at least 10% In some embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -40 O%o and in certain embodiments the δ¹³C value of the carbon-contammg composition, e g , synthetic carbon containing composition is less than -4O%o and the carbon dioxide content is at least 10% [0073] In some embodiments of the invention carbon-contammg compositions, e g , synthetic carbon containing compositions, are provided that are carbon neutral or carbon negative in addition to having a negative δ¹³C value as described herein Carbon neutral and carbon negative are terms that refer to the amount of carbon dioxide gas released in the production of a product as compared to the amount of carbon dioxide prevented from entermg the atmosphere, i e , sequestered, by the product Carbon neutral products prevent as much carbon dioxide from reaching the Earth's atmosphere as is released m producing the product Carbon negative products prevent more carbon dioxide from reaching the Earth's atmosphere than is released during the production of the product For example, m a carbon dioxide sequestration process where the flue gas from a power plant is injected into an impermeable under-ground repository, the carbon dioxide actually prevented from entering the atmosphere through the sequestration technique is weighed against the carbon dioxide produced to power the machinery performing the injection of the flue gas If more carbon dioxide is placed into the impermeable repository than is released by the sequestering machinery, then the process is carbon negative The concepts of carbon negative products or methods are elaborated upon m patent application US 12/344,019, specifically page 7, and application US 61/117,541, specifically pages 1 and 2, which are hereby incorporated by reference herein m their entirety

[0074] In some embodiments compositions of the invention contain strontium, e g , between 0 001% and 5% w/w/ strontium, or between 0 00001% and 1% w/w strontium, or between 0 001% and 0 1% w/w strontium, or between 0 01% and 5% w/w strontium, or between 0 01% and 1% w/w strontium, or between 0 01% and 0 1% w/w strontium, or between 0 1% and 5% w/w strontium, or between 0 1% and 1% w/w strontium In some embodiments compositions of the invention contain boron, e g , between 0 000001% and 2 0% w/w boron, or between 0 00001% and 1% w/w boron, or between 0 0001% and 0 1% w/w boron, or between 0 001% and 1% w/w boron, or between 0 001% and 0 1% w/w boron, or between 0 1% and 5% w/w boron, or between 0 1% and 1% w/w boron In some embodiments compositions of the invention contain selenium, e.g., between 0.000001% and 2.0% w/w selenium, or between 0.00001% and 1% w/w selenium, or between 0.0001% and 0.1% w/w selenium, or between 0.001% and 1% w/w selenium, or between 0.001% and 0 1% w/w selenium, or between 0 1% and 5% w/w selenium, or between 0.1% and 1% w/w selenium

[0075] In some embodiments, carbon containing compositions, e g , synthetic carbon containing compositions are provided where the compositions contain carbon having a negative δ¹³C value as described herein, where at least part of the carbon is in the form of carbonates and/or bicarbonates, e g , carbonates and/or bicarbonates of beryllium, magnesium, calcium, strontium, barium or radium or combinations thereof The molar ratio of carbonates to bicarbonates may be any suitable ratio for the process of producing the composition and/or the intended use of the composition, such as. a carbonate/bicarbonate ratio of greater than 100/1, less than 1/100, more than 50/1, 25/1, 10/1, 9/1, 8/1, 7/1, 6/1, 5/1, 4/1, 3/1, 2/1, 1/1, ¹A, 1/3, or ¹Z₄, less than 50/1, 25/1, 10/1, 9/1, 8/1, 7/1, 6/1, 5/1, 4/1, 3/1, 2/1, 1/1, ¹A, 1/3, or ¹A, or substantially all carbonate or substantially all bicarbonate In some embodiments, the carbonate/bicarbonate ratio may be 100/1 to 1/100, or 50/1 to 1/50, o, 25/1 to 1/25, or 10/1 to 1/10, or 5/1 to 1/5, or 2/1 to 1/2, or 100/1 to 1/10, or 100/1 to 1/1, or 50/1 to 1/10, or 50/1 to 1/1 or 25/1 to 1/10, or 25/1 to 1/1 or 10/1 to 1/1, or 1/100 to 10/1, or 1/100 to 1/1, or 1/50 to 10/1, or 1/50 to 1/1, or 1/25 to 10/1, or 1/25 to 1/1, or 1/10 to 1/1 In some embodiments the invention provides carbon containing compositions, e g, synthetic carbon containing compositions that contain carbonates and/or bicarbonates of calcium or magnesium or combinations thereof In some embodiments the invention provides carbon containing compositions, e g, synthetic carbon containing compositions that contain only carbonates of calcium or magnesium or combinations thereof without containing bicarbonate, or containing only trace amounts of bicarbonate Other embodiments provide carbon containing compositions, e g, synthetic carbon containing compositions that are comprised solely of bicarbonates of calcium or magnesium or combinations thereof In the embodiments of the invention where both calcium and magnesium are provided, various embodiments include a range of ratios between the calcium and magnesium atoms m the carbon containing compositions, e g, synthetic carbon containing composition In some embodiments of the invention, the calcium to magnesium molar raho (Ca/Mg) range is less than 1/200 to greater than 200/1 In some embodiments, Ca/Mg ratio is 1/1. In some embodiments, Ca/Mg ratio ranges are 2/1 to Vi, 3/2 to 2/3, or 5/4 to 4/5. In some embodiments, Ca/Mg ratio ranges are 1/7 to 200/1, 1/15 to 12/10, 1/10 to 5/1, 1/7 to Vi, or 1/9 to 2/5. In some embodiments, Ca/Mg ratio ranges are 1/200 to 1/7, 1/70 to 1/7, or 1/65 to 1/40. In some embodiments, Ca/Mg ranges are 1/3 to 3/1 or Vi to 2/1 In some embodiments, Ca/Mg ranges are 2/1 to all calcium, 3/1 to 200/1, 5/1 to 200/1, or 10/1 to 200/1.

[0076] In some embodiments, other components besides carbon dioxide or compounds derived from carbon dioxide (e.g. carbonates and/or bicarbonates) are included m a carbon containing composition. For example, in some embodiments, the carbon found in the composition originates at least in part from the burning of fossil fuel and the production of a flue gas, e g , in an industrial process, and other components of the fossil fuel may also provide additional components of the carbon containing composition. Exemplary components include the combustion gases, e.g., nitrogen oxides (NO_x); sulfur oxides (SO_x) and sulfides; halides such as hydrogen chloride and hydrogen fluoride, particulates such as flyash, cement kiln dust, other dusts and metals including arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, or vanadium; and organics such as hydrocarbons and volatile organic compounds (VOCs), radioactive materials, dioxms and PAH compounds. PAH (Polynuclear Aromatic Hydrocarbons) are organic compounds produced when materials containing carbon and hydrogen are burned. As used herein, nitrogen oxides (NO_x) refers to oxides of nitrogen, e.g., nitric oxide (NO) and nitrogen dioxide (NO₂), and sulfur oxides (SO_x) refers to oxides of sulfur, e.g., sulfur dioxide (SO₂) and sulfur tπoxide (SO₃). In all of these embodiments, it can be appreciated that the components may interact with other participants m the reaction that forms the synthetic carbon-containing composition such that the components are provide in the product (the synthetic carbon containing composition) as derivatives of the original components.

[0077] In some embodiments the compositions of the invention may include flyash. In some embodiments compositions of the invention contain flyash m an amount of 0.001% w/w - 10.0%, such as 0.01% w/w - 5.0%w/w, such as 0 1% w/w - 5.0% w/w, such as 1.0% w/w-5.0% w/w, such as 1.0% w/w - 4.0% w/w, such as 1.0% w/w - 3.0% w/w, such as 1.0% w/w - 2 5% w/w, such as 0 l%w/w to 2.5%w/w fly ash. In some embodiments compositions of the invention contain one or more mercury compounds, e g., mercuric chloride and/or other mercuric compounds, in an amount of 0.0000001 - 0.1 % w/w, e.g , 0.000001 - 0.1 % w/w, or 0.00001 - 0.1 %, or 0.0000001 - 0.01 %, or 0.0000001 - 0.001, or % 0.0000001 - 0 001 %, or 0.0000001 - 0.00001 %, or 0.000001 - 0.1, or % 0 000001 - 0.01 %, or 0.000001 - 0.001 %, or 0.000001 - 0.0001 %, or 0.000001 - 0.00001, or % 0.00001 - 0.01 %, or 0.00001 - 0.001 %, or 0 00001 - 0.0001 w/w. In some embodiments compositions of the invention contain one or more sulfur compounds, e.g., one or more sulfates, sulfites, or combination of sulfates and sulfites, in an amount of 0 01-30% w/w, e g , 0 01-20% w/w, or 0 01-10% w/w, or 0 01-1% w/w, or 0 1-30% w/w, e.g., 0.1-20% w/w, or 0.1-10% w/w, or 0.1-1%, or 1-30% w/w, e.g , 1-20% w/w, 1-10% w/w, or l-5%w/w. In some embodiments compositions of the invention contain one or more nitrogen compounds, e.g., derivatives of NOx such as nitrates or nitrites, in an amount of 0 01-30% w/w, e.g., 0.01-20% w/w, or 0 01-10% w/w, or 0.01-1% w/w, or

0.1-30% w/w, e.g , 0.1-20% w/w, or 0.1-10% w/w, or 0.1-1%, or 1-30% w/w, e.g., 1-20% w/w, 1-10% w/w, or 1-5% w/w It will be apparent that a composition may contain one or more of flyash, mercury compounds, sulfur compounds, or nitrogen compounds, e.g., one or more mercury, sulfur, or nitrogen compounds in the weight percentage ranges given above [0078] In some embodiments, the invention provides compositions, such as synthetic compositions, containing carbon with δ¹³C value less than -5%o, or less than -10%o, or less than -15%o, or less than -20%o, or less than - 25%o which also include one or more of the following: SO_x, NO_x; metals including: arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, or vanadium, VOCs, particulates such as fly ash, or radioactive compounds or derivatives thereof In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with 5¹³C value less than -5%o that further comprise SO_x or derivatives thereof In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with 5¹³C values less than -5%o that further comprise particulate matter, e g fly ash In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C values less than -5%o that further comprise a metal, e g arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, and vanadium, or derivatives thereof In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with 5¹³C values less than -5%o that further comprise SO_x or derivatives thereof and particulate matter, e g fly ash In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with 6¹³C values less than -5%o that further comprise SO_x or derivatives thereof and a heavy metal, e g arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, and vanadium, or derivatives thereof, in some embodiments the heavy metal is mercury or a derivative compound of mercury In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C values less than -5%o that further comprise particulate matter, e g fly ash, and a heavy metal, e g arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, and vanadium, or derivatives thereof, m some embodiments the heavy metal is mercury or a derivative compound of mercury In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C values less than -5%o that further comprise NO_x or derivatives thereof In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C values less than -5%o that further comprise VOCs or derivatives thereof In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C value less than -15%o that further comprise SO_x or derivatives thereof In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon contaimng compositions with δ¹³C values less than -15%o that further comprise particulate matter, e g fly ash In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C values less than -15%o that further comprise a metal, e g arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, and vanadium, or derivatives thereof In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C values less than -15%o that further comprise SO_x or derivatives thereof and particulate matter, e g fly ash In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon containing compositions with δ¹³C values less than -15%o that further comprise SO_x or derivatives thereof and a heavy metal, e g arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, and vanadium, or derivatives thereof, m some embodiments the heavy metal is mercury or a derivative compound of mercury In some embodiments, the invention provides for carbon containing compositions, e g, synthetic carbon contaimng compositions with δ¹³C values less than -15%o that further comprise particulate matter, e g fly ash, and a heavy metal, e g arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, and vanadium, or derivatives thereof, m some embodiments the heavy metal is mercury or a derivative compound of mercury. In some embodiments, the invention provides for carbon containing compositions, e.g, synthetic carbon containing compositions with δ C values less than -15%o that further comprise NO_x or derivatives thereof. In some embodiments, the invention provides for carbon containing compositions, e.g, synthetic carbon containing compositions with 6¹³C values less than -15%o that further comprise VOCs or derivatives thereof. More details regarding the inclusion of by-products of industrial processes are given in patent application US 61/156,809, specifically pages 1-2, 19-24, and 32-39, which is hereby incorporated by reference herein in its entirety

[0079] As described herein, in some embodiments, the carbon found in the composition originates at least in part from the burning of fossil fuel, e.g , coal, and the production of a flue gas, e.g , in an industrial process, and other components of the fossil fuel may also provide additional components of the synthetic carbon containing composition. In addition to the components detailed above, there are other elements in fossil fuels, e.g , coals, that, through processes of fractionation, also have isotopic ratios which may be compared to standards, as described more fully in the methods section, and as well-known in the art. For example, ratios of stable isotopes for oxygen (¹⁶O and ¹⁸O), nitrogen (¹⁴N and ¹⁵N), sulfur (³²S and ³⁴S), hydrogen (¹H and ²H), and boron (¹⁰B and ¹¹B) can also be measured, e.g. using mass-spectrometry. Thus in some embodiments the invention provides compositions comprising carbon δ¹³C values less than -5%o that further comprise boron with a δ^πB value of less than -2%o, less than -5%o, less than -7%o, less than -10%o, less than -12%o, less than -14%o_, less than -15%o, less than -17%o_,, less than -2O%o_j> less than -22%o_n less than -25%o, or less than -30%o, sulfur with a δ S value of less than -5%o , or between 0 and +lθ%o , or combinations thereof. These compositions may further contain one or more of a SO_x- derived, NO_x-derived, or mercury-derived compound, as described further herein

[0080] In some embodiments of the invention, the carbon containing compositions, e.g, synthetic carbon- contammg composition includes magnesium carbonates or calcium carbonates or combinations thereof. In some embodiments, the carbon-containing composition includes dolomite, a carbonate containing both calcium and magnesium having the chemical formula Ca₀₅Mg₀₅COs₁ and/or protodolomite (amorphous dolomite with calcium to magnesium ratios deviating from 1: 1). Other embodiments contain CaCO₃ as one or more of the minerals calcite, aragomte, or vaterite or as combinations thereof. Some embodiments have hydrated forms of calcium carbonate including: ikaite (CaCO₃^oH₂O), amorphous calcium carbonate (CaCO₃ ^«H₂O) or monohydrocalcite (CaCO₃^H₂O) or combinations thereof. Some embodiments contain magnesium carbonates m various stages of hydration where waters of hydration include 1,2,3,4, or more than 4 waters of hydration or combinations thereof, such as no hydration as magnesite (MgCO₃) or ternary hydration as nesquehomte (MgCO₃ ^«3H₂O) Other embodiments include versions of more complex versions of magnesium carbonates that include waters of hydration and hydroxide such as artinite (MgCO₃ 'Mg(OH)₂OH₂O), dypingite (Mg₅(CO₃)₄(OH)₂-5H₂O), or hydromagnesite (Mg₅(CO₃)₄ (OH)₂*3H₂O) or combinations thereof. Some embodiments include carbonates of calcium and/or magnesium in all or some of the various states of hydration listed herein. [0081] In some embodiments the invention provides for a carbon containing composition, e g, synthetic carbon containing composition comprising carbonates or bicarbonates or combinations thereof where the carbon in the carbonates or bicarbonates has a δ¹³C value less than -5%o, or less than -lθ%o or less than -15%o or less than - 20%o or less than -25%o or less than-30%o or less than -35%o where the composition does not release more than 1%, or 5%, or 10% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 1, 2, 5, 10, or 20 years, or for more than 20 years, for example, for more than 100 years. In some embodiments the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 1 year. In some embodiments the composition does not release more than 5% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 1 year. In some embodiments the composition does not release more than 10% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 1 year. In some embodiments the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 10 years. In some embodiments the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 100 years. In some embodiments the composition does not release more than 1% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 1000 years. Any suitable surrogate marker or test that is reasonably able to predict such stability may be used; e.g , conditions of elevated temperature or pH conditions that are reasonably likely to indicate stability over an extended period in an accelerated test may be used For example, depending on the intended use and environment of the composition, a sample of the composition may be exposed to 50, 75, 90, 100, 120, or 150 ⁰C for 1, 2, 5, 25, 50, 100, 200, or 500 days at between 10% and 50% relative humidity, and a loss less than 1%, 2%, 3%, 4%, 5%, 10%, 20%, 30%, or 50% of its carbon may be considered sufficient evidence of stability for a given period, e g., for 1, 10, 100, 1000, or more than 1000 years. CO₂ content of the material may be monitored by any suitable method, e g., coulometry. Other conditions may be adjusted as appropriate, including pH, pressure, UV radiation, and the like, again depending on the intended or likely environment It will be appreciated that any suitable conditions may be used that one of skill in the art would reasonably conclude indicate the requisite stability over the indicated time period. In addition, if accepted chemical knowledge indicates that the composition would have the requisite stability for the indicated period this may be used as well, in addition to or in place of actual measurements. For example, some carbonate compounds that may be part of a composition of the invention, e g. in a given polymorphic form, may be well- known geologically and known to have withstood normal weather for decades, centuries, or even millennia, without appreciable breakdown, and so have the requisite stability.

[0082] In some embodiments the invention provides for a building material contaimng a component comprising carbonates or bicarbonates or combinations thereof where the carbon in the carbonates and/or bicarbonates has a δ¹³C value less than -5%o, e.g., less than -10%o, such as less than -15%o and in some embodiments less than - 20%o. A "building material," as that term is used herein, includes any material that is or may be used for a construction purpose, for example, but not limited to, work and home habitats, industrial structures and transportation-related structures such as roads, parking lots and parking structures, as well as environmental structures such as dams, levees, and the like In some of these embodiments the building material further contains SO_x; NO_x; metals including: arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, or vanadium; VOCs; particulates such as fly ash; or radioactive compounds or derivatives thereof, or combinations thereof, as described above. Further, in some embodiments, the building material does not release more than 1%, or 5%, or 10% of its total CO₂ when exposed to normal conditions of temperature and moisture, including rainfall of normal pH, for its intended use, for at least 1, 2, 5, 10, or 20 years, or for more than 20 years, for example, for more than 100 years, also as described above. In some embodiments the invention provides for an aggregate, for example, a synthetic aggregate containing a component comprising carbonates or bicarbonates or combinations thereof where the carbon in the carbonates or bicarbonates has a 5¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -20%o. In some embodiments, the aggregate of the invention is a fine aggregate, a coarse aggregate, reactive aggregate, inert or non-reactive aggregate, or a formed or cast aggregate. Reactive aggregate is aggregate which undergoes a chemical reaction such that it bonds to the surrounding material when hydrated. Some embodiments provide for a cementitious building material containing a component comprising carbonates or bicarbonates or combinations thereof where the carbon in the carbonates or bicarbonates has a 5¹³C value less than -5%o, e.g., less than -lθ%o such as less than -15%o and in some embodiments less than -20%o. Some embodiments provide for a cement or concrete contaimng a component comprising carbonates or bicarbonates or combinations thereof where the carbon in the carbonates or bicarbonates has a δ¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -20%o. In some embodiments the invention provides for other cementitious building material such as: mortar, a pozzolanic material, or a supplementary cementitious material or combinations thereof containing a component comprising carbonates or bicarbonates or combinations thereof where the carbon in the carbonates or bicarbonates has a δ¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -20%o. In some embodiments the invention provides for non- cementitious building material such as. roadway material, a brick, a board, a conduit, a beam, a basm, a column, a tile, a fiber siding product, a slab, an acoustic barrier, plaster, dry-wall, stucco, a soil stabilization composition, or insulation or combinations thereof containing a component comprising carbonates or bicarbonates or combinations thereof where the carbon in the carbonates or bicarbonates has a 6¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -20%o. In some embodiments the roadway material may be an asphalt or a paving material [0083] Some embodiments of the invention provide for non-building materials containing components that include carbonates or bicarbonates or combinations thereof where the carbon m the carbonates and/or bicarbonates has a δ¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than - 20%o. In some embodiments the non-building material includes, a household or commercial ceramic product; a paper product; a polymeric product; a lubricant; an adhesive; a rubber product; a chalk; a paint; a personal care product, a cosmetic, an ingestible product, an agricultural product, or an environmental remediation product. In some embodiments, the invention provides for a personal care product that includes a cleaning product or a personal hygiene product In some embodiments, the invention provides for an ingestible product that includes a liquid, a solid, or an animal ingestible product containing components that include carbonates or bicarbonates or combinations thereof where the carbon m the carbonates and/or bicarbonates has a 5¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -2O%o Some embodiments of the invention provide for an agricultural product that includes a soil amendment product or a pesticide containing components that include carbonates or bicarbonates or combinations thereof where the carbon in the carbonates and/or bicarbonates has a δ¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -2O%o Some embodiments of the invention provide for an environmental remediation product that includes a forest soil restoration product or a product for neutralization of over acidified water containing components that include carbonates or bicarbonates or combinations thereof where the carbon in the carbonates and/or bicarbonates has a δ¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -20%o In some embodiments the invention provides for a paper product containing components that include carbonates or bicarbonates or combinations thereof where the carbon in the carbonates and/or bicarbonates has a δ¹³C value less than -5%o, e.g., less than -10%o such as less than -15%o and in some embodiments less than -20%o Some embodiments of the invention provide for a lubricant containing components that include carbonates or bicarbonates or combinations thereof where the carbon in the carbonates and/or bicarbonates has a 6¹³C value less than -5%o. In some embodiments, the invention provides for a paint containing components comprised of carbonates or bicarbonates or combinations thereof where the carbon in the carbonates and/or bicarbonates has a δ C value less than -5%o. Building materials of the invention may also have an average hardness that falls within a certain ranges, such as in some embodiments a building material of the invention has an average hardness between 1 and 7 on the Mohs scale of hardness In some embodiments, a building material of the invention has an average hardness of at least 3 on the Mohs scale of hardness In some embodiments, a building material of the invention has an average hardness of at least 4 on the Mohs scale of hardness. In some embodiments, a building material of the invention has an average hardness of at least 5 on the Mohs scale of hardness. In some embodiments, a building material of the invention has an average hardness between 1 and 6 on the Mohs scale of hardness, such as between 1 and 5, such as between 2 and 5, such as between 1 and 4, such as between 2 and 6, such as between 2 and 4 on the Mohs hardness scale.

[0084] In some embodiments the invention provides flowable compositions. In some embodiments, the flowable composition is pseudoplastic (i.e., viscosity of the flowable compositions decreases with increasing shear rate). In some embodiments, the flowable composition is thixotropic (i e., viscosity decreases over time under constant shear). In some embodiments, viscosity and non-Newtonian behavior increases with increasing concentration of solids. In some embodiments, the flowable composition that is a slurry has a viscosity at 20 °C greater than 1 cP

(centipoise), such as greater than 5 cP, greater than 10 cP, greater than 15 cP, greater than 20 cP, greater than 25 cP, greater than 30 cP, greater than 35 cP, greater than 40 cP, greater than 45 cP, greater than 50 cP, greater than 75 cP, greater than 100 cP, greater than 250 cP, greater than 500 cP, greater than 750 cP, or a viscosity at 20 °C greater than 1000 cP In some embodiments, a flowable composition has a viscosity between 2000 cP to 1 cP, such as 100 cP to 1000 cP, including 150 cP to 500 cP, for example 200 cP to 400 cP. For example, the flowable composition may have a viscosity of 300 cP to 400 cP such as about 380 cP. In view of the pseudoplasticity of the flowable compositions, viscosity may decrease with increasing shear rate Also, in view of the thixotropic nature of some of the flowable compositions, viscosity may decrease over time with constant shear. In some embodiments, the flowable composition is a slurry comprising solid precipitates and effluent liquid from a carbon sequestration process. In such embodiments, the solid precipitates include, but are not limited to, carbonates, bicarbonates, and any combination of carbonates and bicarbonates. In some embodiments, where the solid precipitates are the result of a carbon sequestration process employing a flue gas from a fossil fuel burning process, the precipitates will have a negative δ¹³C value. In such embodiments, the carbonates, bicarbonates, or any combination of carbonates and bicarbonates included m the precipitates will have a δ¹³C value less than (i.e. more negative than) -5 °/00, such as less than -6°/00, less than -I⁰IQQ, less than -8°/00, less than -9°/00, less than -10°/00, less than -15°/00, less than

-20°/00, less than -21°/00, less than -22°/00, less than -23°/00, less than -24°/00, less than -25°/00, less than -26°/00, less than -27°/00, less than -28°/00, less than -29°/00, less than -30°/00, less than -35°/00, less than -40°/00. In some embodiments, the flowable composition will include other constituents of the industrial flue gas, such as, but not limited to: carbon monoxide, nitrogen oxides (NOx), sulfur oxides (SOx), sulfides, halides, particulate matter such as fly ash and dusts; metals and metal- containing compounds, radioactive materials, and organics. In some embodiments, a flowable composition is placed in a repository. In some embodiments, a flowable composition is placed in a subterranean geological formation. In some embodiments, the geological formation was not suitable for storing super- critical carbon dioxide In some embodiments, the geological formation was the source of a component of a carbon dioxide sequestration process used to form part of the flowable composition. In some embodiments, the flowable composition is a pumpable composition. A pumpable composition is one such that it can be transported using conduits and pumps from one location to another. In some embodiments the invention provides a flowable composition comprising carbonates, bicarbonates, or a combination thereof wherein the carbon in the carbonates, bicarbonates, or combination thereof has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o and the viscosity of the composition is between 1 and 2000 cP, e g , between 10 and 1000 cP In some embodiments, the composition is a synthetic composition In some embodiments, the carbonates, bicarbonates, or combination thereof make up at least 10% w/w of the composition In some embodiments, the CO2 content of the composition is at least 10% In some embodiments, the composition has a negative carbon footprint In some embodiments, the conmposition further compπsies boron, sulfur, or nitrogen wherein the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin In some embodiments, the carbonates, bicarbonates, or combination thereof comprise calcium, magnesium or a combination thereof, e g , where calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1 or 12/1 to 1/15, or 5/1 to 1/10 Other suitable Ca/Mg ratios are as described herein The composition may further comprise SOx or a derivative thereof, such as a sulfate, sulfite, or combination thereof The composition may further comprise a metal, such as lead, arsenic, mercury, or cadmium or a combination thereof [0085] Compositions of the invention find utility, for example, in uses where it is desired to use a material that is, or is likely to, contain carbon of plant origin, e g , carbon of fossil fuel origin, for example carbon that was part of carbon dioxide that would otherwise have been released into the atmosphere In some cases an economic incentive may be provided for the use of such materials, e g , a carbon offset payment In some cases use of such material may satisfy a government regulatory and/or incentive program

[0086] Methods of making the compositions of the invention include any suitable method by which a carbon with the requisite of 6¹³C value may be made Such methods are described, e g , m US Published Patent Applications Nos 2009/0020044 and 2009/0001020, and US Patent Application No 12/344,019, the disclosures of which are hereby incorporated by reference m their entirety For example, a divalent cation-contammg water may be exposed to flue gas from an industrial source, e g , from a coal-fired power plant or other source where the flue gas contains CO₂ containing carbon primarily or entirely of fossil fuel origin The divalent cation-contammg water may be, e g , seawater, brme, and/or water that has been enriched m divalent cations Protons are removed from the water by addition of base (e g , a hydroxide such as sodium hydroxide or base from industrial waste, brmes, minerals, or other sources) and/or by electrochemical methods, as further detailed m US Published Patent Applications Nos 2009/0020044 and 2009/0001020, and US Patent Application No 12/344,019, to drive the reaction toward carbonates, e g magnesium and/or calcium carbonates, which may remain m solution or which may precipitate from solution The precipitate may be further treated, e g , by drying, pressing, crushing, forming, and the like, as described m the above published patent applications Carbon negative methods of manufacture, for example methods utilizing low-voltage electrochemical methods of base removal, e g , electrochemical methods requiπng a voltage of less than 2 0 V, or less than 1 5 V, or, m some embodiments, less than 1 0 V, are also described m the above patent applications [0087] Some methods of producing compositions of the invention are given m more detail below, however, any suitable method may be used As described m further detail below, the methods and systems of the utilize a source of CO₂, a source of proton-removmg agents (and/or methods of effecting proton removal), and a source of divalent cations to produce the composition [0088] Carbon Dioxide [0089] Methods of include contacting a volume of an aqueous solution of divalent cations with a source of CO₂, and m the case where a precipitate is desired, subjecting the resultant solution to conditions that facilitate precipitation, in some cases it is desirable to produce a solution or a slurry, e g , a flowable composition, and precipitation conditions may be eliminated or adjusted accordingly Methods of the invention thus further may include contacting a volume of an aqueous solution of divalent cations with a source OfCO₂ while subjecting the aqueous solution to conditions that facilitate precipitation There may be sufficient carbon dioxide m the divalent cation-contammg solution to precipitate significant amounts of bicarbonate and/or carbonate-containing precipitation material (e g , from seawater or brine), however, additional carbon dioxide is generally used The source OfCO₂ may be any convenient CO₂ source that contains carbon of the requisite δ¹³C value The CO₂ source may be a gas, a liquid, a solid (e g , dry ice), a supercritical fluid, or CO₂ dissolved m a liquid In some embodiments, the CO₂ source is a gaseous CO₂ source The gaseous stream may be substantially pure CO₂ or comprise multiple components that include CO₂ and one or more additional gases and/or other substances such as ash and other particulates In some embodiments, the gaseous CO₂ source is a waste gas stream (1 e , a by-product of an active process of the industrial plant) such as exhaust from an industrial plant The nature of the industrial plant may vary, the industrial plants including, but not limited to, power plants, chemical processing plants, mechanical processing plants, refineries, cement plants, steel plants, and other industrial plants that produce CO₂ as a by-product of fuel combustion or another processing step (such as calcination by a cement plant) [0090] Waste gas streams comprising CO₂ include both reducing (e g , syngas, shifted syngas, natural gas, hydrogen and the like) and oxidizing condition streams (e g , flue gases from combustion) Particular waste gas streams that may be convenient for the invention include oxygen-containmg combustion industrial plant flue gas (e g , from coal or another carbon-based fuel with little or no pretreatment of the flue gas), turbo charged boiler product gas, coal gasification product gas, shifted coal gasification product gas, anaerobic digester product gas, wellhead natural gas stream, reformed natural gas or methane hydrates, and the like Combustion gas from any convenient source may be used m methods and systems of the invention In some embodiments, combustion gases m post- combustion effluent stacks of industrial plants such as power plants, cement plants, and coal processing plants is used

[0091] Thus, the waste streams may be produced from a vaπety of different types of industrial plants Typically, waste streams for the methods include waste streams produced by industrial plants that combust fossil fuels (e g , coal, oil, natural gas) and anthropogenic fuel products of naturally occurring orgamc fuel deposits (e g , tar sands, heavy oil, oil shale, etc ) In some embodiments, a waste stream suitable for systems and methods of the invention is sourced from a coal-fired power plant, such as a pulverized coal power plant, a supercritical coal power plant, a mass burn coal power plant, a fluidized bed coal power plant, m some embodiments, the waste stream is sourced from gas or oil-fired boiler and steam turbine power plants, gas or oil-fired boiler simple cycle gas turbine power plants, or gas or oil-fired boiler combined cycle gas turbine power plants In some embodiments, waste streams produced by power plants that combust syngas (1 e , gas that is produced by the gasification of organic matter, for example, coal, biomass, etc ) are used In some embodiments, waste streams from integrated gasification combined cycle (IGCC) plants are used In some embodiments, waste streams produced by Heat Recovery Steam Generator (HRSG) plants are used m accordance with systems and methods of the invention [0092] Waste streams produced by cement plants are also suitable for systems and methods of the invention so long as the δ¹³C value of the flue gas is m the desired range to produce products with the requisite δ¹³C value Cement plant waste streams include waste streams from both wet process and dry process plants, which plants may employ shaft kilns or rotary kilns, and may include pre-calcmers These industrial plants may each burn a single fuel, or may burn two or more fuels sequentially or simultaneously Other industrial plants such as smelters and refineries are also useful sources of waste streams that include carbon dioxide

[0093] Industrial waste gas streams may contain carbon dioxide as the primary non-air derived component, or may, especially m the case of coal- fired power plants, contain additional components such as nitrogen oxides (NOx), sulfur oxides (SOx), and one or more additional gases Additional gases and other components may include CO, mercury and other heavy metals, and dust particles (e g , from calcining and combustion processes) Additional components m the gas stream may also include halides such as hydrogen chloride and hydrogen fluoride, particulate matter such as fly ash, dusts, and metals including arsenic, beryllium, boron, cadmium, chromium, chromium VI, cobalt, lead, manganese, mercury, molybdenum, selenium, strontium, thallium, and vanadium, and organics such as hydrocarbons, dioxms, and PAH compounds Suitable gaseous waste streams that may be treated have, m some embodiments, CO₂ present m amounts of 200 ppm to 1,000,000 ppm, such as 200,000 ppm to 1000 ppm, including 200,000 ppm to 2000 ppm, for example 180,000 ppm to 2000 ppm, or 180,000 ppm to 5000 ppm, also including 180,000 ppm to 10,000 ppm The waste streams, particularly various waste streams of combustion gas, may include one or more additional components, for example, water, NOx (monomtrogen oxides. NO and NO₂), SOx

(monosulfur oxides. SO, SO₂ and SO₃), VOC (volatile organic compounds), heavy metals such as mercury, and particulate matter (particles of solid or liquid suspended m a gas) Flue gas temperature may also vary In some embodiments, the temperature of the flue gas comprising CO₂ is from O⁰C to 2000⁰C, such as from 6O⁰C to 700 ⁰C, and including 100⁰C to 400⁰C [0094] In some embodiments, one or more additional components or co-products (1 e , products produced from other starting materials [e g , SOx, NOx, etc ] under the same conditions employed to convert CO₂ into bicarbonates and/or carbonates) are precipitated or trapped m precipitation material, or m solution or slurry, formed by contacting the waste gas stream comprising these additional components with an aqueous solution comprising divalent cations (e g , alkaline earth metal ions such as Ca²⁺ and Mg²⁺) Sulfates, sulfites, and the like of calcium and/or magnesium may be precipitated or trapped m precipitation material or solution or slurry (further comprising calcium and/or magnesium bicarbonates and/or carbonates) produced from waste gas streams comprising SOx (e g , SO₂) Magnesium and calcium may react to form MgSθ₄, CaSθ₄, respectively, as well as other magnesium- containing and calcium-containing compounds (e g , sulfites), effectively removing sulfur from the flue gas stream without a desulfurization step such as flue gas desulfurrzation ("FGD") In addition, CaCO₃, MgCO₃, and related compounds may be formed without additional release of CO₂ In instances where the aqueous solution of divalent cations contains high levels of sulfur compounds (e g , sulfate), the aqueous solution may be enriched with calcium and magnesium so that calcium and magnesium are available to form bicarbonate and/or carbonate compounds after, or m addition to, formation of CaSO₄, MgSθ₄, and related compounds In some embodiments, a desulfurization step may be staged to coincide with precipitation of bicarbonate and/or carbonate-contammg precipitation material, or the desulfurization step may be staged to occur before precipitation In some embodiments, multiple reaction products (e g , MgCO₃, CaCO₃, CaSO₄, mixtures of the foregoing, and the like) are collected at different stages, while m other embodiments a single reaction product (e g , precipitation material comprising carbonates, bicarbonates, sulfates and/or sulfites, etc ) is collected In step with these embodiments, other components, such as heavy metals (e g , mercury, mercury salts, mercury-contaimng compounds), may be trapped m the bicarbonate and/or carbonate - containing precipitation material or may precipitate separately, if precipitation is used

[0095] A portion of the gaseous waste stream (1 e , not the entire gaseous waste stream) from an industrial plant may be used to produce solutions, slurries, or precipitation material In these embodiments, the portion of the gaseous waste stream that is employed m the process may be 75% or less, such as 60% or less, and including 50% and less of the gaseous waste stream In yet other embodiments, substantially (e g , 80% or more) the entire gaseous waste stream produced by the industrial plant is employed m precipitation of precipitation material, solution, or slurry In these embodiments, 80% or more, such as 90% or more, including 95% or more, up to 100% of the gaseous waste stream (e g , flue gas) generated by the source may be employed for precipitation of precipitation material Methods of the invention may remove significant portions, or substantially all, of the CO₂ from a given CO₂ source, e g , over 30%, 40%, 50%, 60%, 70%, 80%, 90%, 95%, 99%, or even over 99 9% of the CO₂ m the CO₂ source

[0096] Divalent Cations [0097] Methods of the invention include contacting a volume of an aqueous solution of divalent cations with a source of CO₂ and optionally subjecting the resultant solution to conditions that facilitate precipitation In some embodiments, a volume of an aqueous solution of divalent cations is contacted with a source of CO₂ while optionally subjecting the aqueous solution to conditions that facilitate precipitation Divalent cations may come from any of a number of different divalent cation sources depending upon availability at a particular location Such sources include industrial wastes, seawater, brines, hard waters, rocks and minerals (e g , lime, penclase, material comprising metal silicates such as serpentine and olivine), and any other suitable source

[0098] In some locations, industrial waste streams from various industrial processes provide for convenient sources of divalent cations (as well as m some cases other materials useful m the process, e g , metal hydroxide) Such waste streams include, but are not limited to, mining wastes, fossil fuel burning ash (e g , combustion ash such as fly ash, bottom ash, boiler slag), slag (e g iron slag, phosphorous slag), cement kiln waste, oil refinery/petrochemical refinery waste (e g oil field and methane seam brines), coal seam wastes (e g gas production brines and coal seam brme), paper processing waste, water softening waste brine (e g , ion exchange effluent), silicon processing wastes, agricultural waste, metal finishing waste, high pH textile waste, and caustic sludge Fossil fuel burning ash, cement kiln dust, and slag, collectively waste sources of metal oxides, further described m U S Patent Application No 12/486,692, filed 17 June 2009, the disclosure of which is incorporated herein m its entirety It will be appreciated that some of these sources, e g , coal seam wastes, flyash, are themselves sources of carbon with a negative δ¹³C value, others may contribute carbon at a somewhat higher value than that found in fossil fuels but their addition does not necessarily significantly alter the δ¹³C value of the final product, e g , change it away from the values descπbed herein (see Examples for specific details) Any of the divalent cations sources described herein may be mixed and matched for the purpose of practicing the invention For example, material comprising metal silicates (e g serpentine, olivine), which are further descπbed in U S Patent Application No 12/501,217, filed 10 July 2009, which application is herein incorporated by reference, may be combined with any of the sources of divalent cations descπbed herein for the purpose of practicing the invention [0099] In some locations, a convenient source of divalent cations for preparation of a composition of the invention is water (e g , an aqueous solution comprising divalent cations such as seawater or surface brine), which may vary depending upon the particular location at which the invention is practiced Suitable aqueous solutions of divalent cations that may be used include solutions comprising one or more divalent cations, e g , alkaline earth metal cations such as Ca²⁺ and Mg²⁺ In some embodiments, the aqueous source of divalent cations comprises alkaline earth metal cations In some embodiments, the alkaline earth metal cations include calcium, magnesium, or a mixture thereof In some embodiments, the aqueous solution of divalent cations comprises calcium in amounts ranging from 50 to

50,000 ppm, 50 to 40,000 ppm, 50 to 20,000 ppm, 100 to 10,000 ppm, 200 to 5000 ppm, or 400 to 1000 ppm In some embodiments, the aqueous solution of divalent cations comprises magnesium in amounts ranging from 50 to 40,000 ppm, 50 to 20,000 ppm, 100 to 10,000 ppm, 200 to 10,000 ppm, 500 to 5000 ppm, or 500 to 2500 ppm In some embodiments, where Ca²⁺ and Mg²⁺ are both present, the ratio of Ca²⁺ to Mg²⁺ (i e , Ca²⁺.Mg²⁺) m the aqueous solution of divalent cations is between 1.1 and 1.2 5, 1 2 5 and 1.5, 1 5 and 1.10, 1.10 and 1.25, 1 25 and 1.50, 1.50 and 1.100, 1.100 and 1.150, 1.150 and 1.200, 1 200 and 1.250, 1.250 and 1.500, 1.500 and 1.1000, or a range thereof For example, m some embodiments, the ratio of Ca ⁺ to Mg ⁺ m the aqueous solution of divalent cations is between 1.1 and 1.10, 1.5 and 1.25, 1.10 and 1.50, 1.25 and 1.100, 1.50 and 1.500, or 1.100 and 1.1000 In some embodiments, the ratio OfMg²⁺ to Ca²⁺ (i e , Mg²⁺.Ca²⁺) in the aqueous solution of divalent cations is between 1.1 and 1.2 5, 1.2 5 and 1.5, 1.5 and 1.10, 1.10 and 1.25, 1.25 and 1.50, 1.50 and 1.100, 1.100 and 1.150, 1.150 and 1.200, 1.200 and 1 250, 1.250 and 1.500, 1.500 and 1.1000, or a range thereof For example, m some embodiments, the ratio of Mg²⁺ to Ca²⁺ m the aqueous solution of divalent cations is between 1.1 and 1.10, 1.5 and 1.25, 1.10 and 1.50, 1.25 and 1.100, 1.50 and 1.500, or 1.100 and 1.1000

[00100] The aqueous solution of divalent cations may comprise divalent cations derived from freshwater, brackish water, seawater, or brine (e g , naturally occurring brines or anthropogenic brines such as geothermal plant wastewaters, desalination plant waste waters), as well as other salmes having a salinity that is greater than that of freshwater, any of which may be naturally occurring or anthropogenic Brackish water is water that is saltier than freshwater, but not as salty as seawater Brackish water has a salinity ranging from about 0 5 to about 35 ppt (parts per thousand) Seawater is water from a sea, an ocean, or any other salme body of water that has a salinity ranging from about 35 to about 50 ppt Brine is water saturated or nearly saturated with salt Brine has a salinity that is about 50 ppt or greater In some embodiments, the water source from which divalent cations are derived is a mineral rich (e g , calcium -πch and/or magnesium-rich) freshwater source In some embodiments, the water source from which divalent cations are derived is a naturally occurring saltwater source selected from a sea, an ocean, a lake, a swamp, an estuary, a lagoon, a surface bπne, a deep brme, an alkaline lake, an inland sea, or the like In some embodiments, the water source from which divalent cation are derived is an anthropogenic brme selected from a geothermal plant wastewater or a desalination wastewater [00101] Freshwater is often a convenient source of divalent cations (e g , cations of alkaline earth metals such as

Ca ⁺ and Mg ⁺) Any of a number of suitable freshwater sources may be used, including freshwater sources ranging from sources relatively free of minerals to sources relatively πch m minerals Mmeral-πch freshwater sources may be naturally occurring, including any of a number of hard water sources, lakes, or inland seas Some mineral-rich freshwater sources such as alkaline lakes or inland seas (e g , Lake Van m Turkey) also provide a source of pH- modifying agents Mineral-rich freshwater sources may also be anthropogenic For example, a mmeral-poor (soft) water may be contacted with a source of divalent cations such as alkaline earth metal cations (e g , Ca²⁺, Mg²⁺, etc ) to produce a mineral-rich water that is suitable for methods and systems described herein Divalent cations or precursors thereof (e g salts, minerals) may be added to freshwater (or any other type of water described herein) using any convenient protocol (e g , addition of solids, suspensions, or solutions) In some embodiments, divalent cations selected from Ca²⁺ and Mg²⁺ are added to freshwater In some embodiments, monovalent cations selected from Na+ and K+ are added to freshwater In some embodiments, freshwater comprising Ca ⁺ is combined with combustion ash (e g , fly ash, bottom ash, boiler slag), or products or processed forms thereof, yielding a solution comprising calcium and magnesium cations [00102] In some embodiments, an aqueous solution of divalent cations may be obtained from an industrial plant that is also providing a combustion gas stream For example, m water-cooled industrial plants, such as seawater-cooled industrial plants, water that has been used by an industrial plant for cooling may then be used as water for producing solutions, slurries, or solid precipitation material If desired, the water may be cooled prior to entering a system of the invention Such approaches may be employed, for example, with once-through cooling systems For example, a city or agricultural water supply may be employed as a once-through cooling system for an industrial plant Water from the industrial plant may then be employed for producing solutions, slurries, or precipitation material, wherein output water has a reduced hardness and greater purity [00103] Proton-Removmg Agents and Methods for Effecting Proton Removal [00104] Methods of the invention include contacting a volume of an aqueous solution of divalent cations with a source of CO2 (to dissolve CO2) and optionally subjecting the resultant solution to conditions that facilitate precipitation In some embodiments, a volume of an aqueous solution of divalent cations is contacted with a source OfCO₂ (to dissolve CO₂) while optionally subjecting the aqueous solution to conditions that facilitate precipitation The dissolution of CO₂ into the aqueous solution of divalent cations produces carbonic acid, a species in equilibrium with both bicarbonate and carbonate In order to produce bicarbonate and especially carbonate-containing material, e g , suitable for precipitation, protons are removed from various species (e g carbonic acid, bicarbonate, hydromum, etc ) m the divalent cation-containing solution to shift the equilibrium toward carbonate As protons are removed, more CO₂ goes into solution In some embodiments, proton-removing agents and/or methods are used while contacting a divalent cation-contaimng aqueous solution with CO₂ to increase CO₂ absorption m one phase of the reaction, wherein the pH may remain constant, increase, or even decrease, followed by a rapid removal of protons (e g , by addition of a base) to, e g , cause rapid precipitation of carbonate-containing precipitation material Protons may be removed from the various species (e g carbonic acid, bicarbonate, hydromum, etc ) by any convenient approach, including, but not limited to use of naturally occurring proton-removmg agents, use of microorganisms and fungi, use of synthetic chemical proton-removmg agents, recovery of man-made waste streams, and using electrochemical means

[00105] Naturally occurring proton-removmg agents encompass any proton-removmg agents that can be found m the wider environment that may create or have a basic local environment Some embodiments provide for naturally occurring proton-removmg agents including minerals that create basic environments upon addition to solution Such minerals include, but are not limited to, hme (CaO), peπclase (MgO), iron hydroxide minerals (e g , goethite and limomte), and volcanic ash Methods for digestion of such minerals and rocks comprising such minerals are provided herein Some embodiments provide for using naturally alkaline bodies of water as naturally occurring proton-removmg agents Examples of naturally alkaline bodies of water include, but are not limited to surface water sources (e g alkaline lakes such as Mono Lake m California) and ground water sources (e g basic aquifers such as the deep geologic alkaline aquifers located at Searles Lake in California) Other embodiments provide for use of deposits from dried alkaline bodies of water such as the crust along Lake Natron in Africa's Great Rift Valley In some embodiments, organisms that excrete basic molecules or solutions m their normal metabolism are used as proton-removmg agents Examples of such organisms are fungi that produce alkaline protease (e g , the deep-sea fungus Aspergillus ustus with an optimal pH of 9) and bacteria that create alkaline molecules (e g , cyanobacteπa such as Lyngbya sp from the AtIm wetland in British Columbia, which increases pH from a byproduct of photosynthesis) In some embodiments, organisms are used to produce proton-removmg agents, wherein the organisms (e g , Bacillus pasteuni, which hydro lyzes urea to ammonia) metabolize a contaminant (e g urea) to produce proton-removmg agents or solutions comprising proton-removmg agents (e g , ammoma, ammonium hydroxide) In some embodiments, organisms are cultured separately from the reaction mixture, wherein proton- removing agents or solution comprising proton-removmg agents are used for addition to the reaction mixture In some embodiments, naturally occurring or manufactured enzymes are used m combination with proton-removmg agents Carbonic anhydrase, which is an enzyme produced by plants and ammals, accelerates transformation of carbonic acid to bicarbonate m aqueous solution As such, carbonic anhydrase may be used to enhance dissolution of CO₂ and , e g , accelerate precipitation of precipitation material if precipitation is used [00106] Chemical agents for effecting proton removal generally refer to synthetic chemical agents that are produced m large quantities and are commercially available For example, chemical agents for removing protons include, but are not limited to, hydroxides, orgamc bases, super bases, oxides, ammoma, and carbonates Hydroxides include chemical species that provide hydroxide anions m solution, including, for example, sodium hydroxide (NaOH), potassium hydroxide (KOH), calcium hydroxide (Ca(OH)₂), or magnesium hydroxide (Mg(OH)₂) Organic bases are carbon-contaming molecules that are generally nitrogenous bases including primary amines such as methyl amine, secondary amines such as diisopropylamme, tertiary such as dnsopropylethylamme, aromatic amines such as aniline, heteroaromatics such as pyridine, imidazole, and benzimidazole, and various forms thereof In some embodiments, an organic base selected from pyridine, methylamme, imidazole, benzimidazole, histidme, and a phophazene is used to remove protons from various species (e g , carbonic acid, bicarbonate, hydronium, etc ), e g , for precipitation of precipitation material In some embodiments, ammonia is used to raise pH to a level sufficient to precipitate precipitation material from a solution of divalent cations and an industrial waste stream Super bases suitable for use as pro ton-removing agents include sodium ethoxide, sodium amide (NaNH₂), sodium hydride

(NaH), butyl lithium, lithium dnsopropylamide, lithium diethylamide, and lithium bis(tπmethylsilyl)amide Oxides including, for example, calcium oxide (CaO), magnesium oxide (MgO), strontium oxide (SrO), beryllium oxide (BeO), and barium oxide (BaO) are also suitable proton-removing agents that may be used Carbonates for use in the invention include, but are not limited to, sodium carbonate [00107] In addition to comprising cations of interest and other suitable metal forms, waste streams from various industrial processes may provide proton-removmg agents Such waste streams include, but are not limited to, mining wastes, fossil fuel burning ash (e g , combustion ash such as fly ash, bottom ash, boiler slag), slag (e g iron slag, phosphorous slag), cement kiln waste, oil refinery/petrochemical refinery waste (e g oil field and methane seam brmes), coal seam wastes (e g gas production brines and coal seam brine), paper processing waste, water softening waste brine (e g , ion exchange effluent), silicon processing wastes, agricultural waste, metal finishing waste, high pH textile waste, and caustic sludge Mimng wastes include any wastes from the extraction of metal or another precious or useful mineral from the earth In some embodiments, wastes from mining are used to modify pH, wherein the waste is selected from red mud from the Bayer aluminum extraction process, waste from magnesium extraction from seawater (e g , Mg(OH)₂ such as that found m Moss Landing, California), and wastes from mimng processes involving leaching For example, red mud may be used to modify pH as described m U S Provisional Patent Application No 61/161369, filed 18 March 2009, which is incorporated herein by reference m its entirety Fossil fuel burning ash, cement kiln dust, and slag, collectively waste sources of metal oxides, further described m U S Patent Application No 12/486692, filed 17 June 2009, the disclosure of which is incorporated herein m its entirety, may be used m alone or m combination with other proton-removing agents to provide proton-removmg agents for the invention Agricultural waste, either through animal waste or excessive fertilizer use, may contain potassium hydroxide (KOH) or ammonia (NH₃) or both As such, agricultural waste may be used m some embodiments of the invention as a proton-removmg agent This agricultural waste is often collected in ponds, but it may also percolate down into aquifers, where it can be accessed and used [00108] Electrochemical methods are another means to remove protons from various species in a solution, either by removing protons from solute (e g , deprotonation of carbonic acid or bicarbonate) or from solvent (e g , deprotonation of hydronium or water) Deprotonation of solvent may result, for example, if proton production from CO₂ dissolution matches or exceeds electrochemical proton removal from solute molecules In some embodiments, low -voltage electrochemical methods are used to remove protons, for example, as CO₂ is dissolved m the reaction mixture or a precursor solution to the reaction mixture (1 e , a solution that may or may not contain divalent cations) In some embodiments, CO₂ dissolved in an aqueous solution that does not contain divalent cations is treated by a low-voltage electrochemical method to remove protons from carbomc acid, bicarbonate, hydronium, or any species or combination thereof resulting from the dissolution of CO₂ A low- voltage electrochemical method operates at an average voltage of 2, 1.9, 1 8, 1.7, or 1.6 V or less, such as 1.5, 1.4, 1 3, 1.2, 1.1 V or less, such as 1 V or less, such as 0.9 V or less, 0.8 V or less, 0.7 V or less, 0.6 V or less, 0.5 V or less, 0.4 V or less, 0 3 V or less, 0.2 V or less, or 0.1 V or less. Low- voltage electrochemical methods that do not generate chlorine gas are convenient for use m systems and methods of the invention Low-voltage electrochemical methods to remove protons that do not generate oxygen gas are also convenient for use in systems and methods of the invention. In some embodiments, low- voltage electrochemical methods generate hydrogen gas at the cathode and transport it to the anode where the hydrogen gas is converted to protons. Electrochemical methods that do not generate hydrogen gas may also be convenient. In some instances, electrochemical methods to remove protons do not generate any gaseous by-byproduct. Electrochemical methods for effecting proton removal are further described m U S Patent Application No 12/344,019, filed 24 December 2008, U.S. Patent Application No. 12/375,632, filed 23 December 2008;

International Patent Application No PCT/US08/088242, filed 23 December 2008; International Patent Application No. PCT/US09/32301, filed 28 January 2009, and International Patent Application No. PCT/US09/48511, filed 24 June 2009, each of which are incorporated herein by reference in their entirety. [00109] Alternatively, electrochemical methods may be used to produce caustic molecules (e g , hydroxide) through, for example, the chlor-alkali process, or modification thereof. Electrodes (i.e., cathodes and anodes) may be present m the apparatus containing the divalent cation- containing aqueous solution or gaseous waste stream-charged (e.g., CO₂-charged) solution, and a selective barrier, such as a membrane, may separate the electrodes. Electrochemical systems and methods for removing protons may produce by-products (e.g., hydrogen) that may be harvested and used for other purposes. Additional electrochemical approaches that may be used in systems and methods of the invention include, but are not limited to, those described in U.S Provisional Patent Application No. 61/081,299, filed 16 July 2008, and U S. Provisional Patent Application No. 61/091,729, the disclosures of which are incorporated herein by reference. Combinations of the above mentioned sources of proton-removing agents and methods for effecting proton removal may be employed. [00110] Methods of combining and processing reactants [00111] A variety of different methods may be employed to prepare the compositions of the invention. Protocols of interest include, but are not limited to, those disclosed m U.S. Patent Application Serial Nos 12/126,776, filed 23 May 2008; 12/163,205, filed 27 June 2008; 12/344,019, filed 24 December 2008; and 12/475,378, filed 29 May 2009, as well as U.S. Provisional Patent Application Serial Nos. 61/017,405, filed 28 December 2007, 61/017,419, filed 28 December 2007; 61/057,173, filed 29 May 2008; 61/056,972, filed 29 May 2008; 61/073,319, filed 17 June 2008, 61/079,790, 10 July 2008, 61/081,299, filed 16 July 2008, 61/082,766, filed 22 July 2008, 61/088,347, filed 13 August 2008; 61/088,340, filed 12 August 2008; 61/101,629, filed 30 September 2008, and 61/101,631, filed 30 September 2008, the disclosures of which are incorporated herein by reference

[00112] Compositions of the invention include bicarbonate and carbonate compositions that may be produced in solution or slurry or by precipitating a calcium and/or magnesium bicarbonate or carbonate composition from a solution of divalent cations The bicarbonate and/or carbonate compound compositions that make up the components of the invention include metastable carbonate compounds that may be precipitated from a solution of divalent cations, such as a saltwater, as described in greater detail below The bicarbonate and/or carbonate compound compositions of the invention include precipitated crystalline and/or amorphous bicarbonate and carbonate compounds. [00113] Saltwater-deπved bicarbonate and/or carbonate compound compositions of the invention (i.e., compositions derived from saltwater and made up of one or more different carbonate crystalline and/or amorphous compounds with or without one or more hydroxide crystalline or amorphous compounds) are ones that are derived from a saltwater As such, they are compositions that are obtained from a saltwater m some manner, e g , by treating a volume of a saltwater in a manner sufficient to produce the desired bicarbonate and/or or carbonate compound composition from the initial volume of saltwater The bicarbonate and/or carbonate compound compositions of certain embodiments are produced by,e g , precipitation from a solution of divalent cations (e g , a saltwater) that includes alkaline earth metal cations, such as calcium and magnesium, etc , where such solutions of divalent cations may be collectively referred to as alkaline earth metal-containmg waters

[00114] The saltwater employed m methods may vary As reviewed above, saltwater of interest include brackish water, seawater and brme, as well as other salines having a salinity that is greater than that of freshwater (which has a salinity of less than 5 ppt dissolved salts) In some embodiments, calcium rich waters may be combined with magnesium silicate minerals, such as olivine or serpentine, m solution that has become acidic due to the addition on carbon dioxide to form carbonic acid, which dissolves the magnesium silicate, leading to the formation of calcium magnesium silicate carbonate compounds as mentioned above

[00115] In methods of producing the bicarbonate and/or carbonate compound compositions of the invention, a volume of water is optionally subjected to bicarbonate/carbonate compound precipitation conditions sufficient to produce a solution of bicarbonate and/or carbonate-containing solution which can then be used to produce precipitation material and a mother liquor (i e , the part of the water that is left over after precipitation of the bicarbonate and/or carbonate compound(s) from the saltwater), if desired The resultant precipitation material and mother liquor may collectively make up the bicarbonate and/or carbonate compound compositions of the invention (e g , as a slurry) or may be separated into precipitate and mother liquor, each or both of which may also be compositions of the invention (e g , solid and solution compositions) Any convenient precipitation conditions may be employed, which conditions result m the production of a barcarbonate/carbonate compound composition [00116] For precipitated compounds, conditions that facilitate precipitation (i e , precipitation conditions) may vary For example, the temperature of the water may be withm a suitable range for the precipitation of the desired mineral to occur In some embodiments, the temperature of the water may be m a range from 5 to 70⁰C, such as from 20 to 5O⁰C and including from 25 to 45⁰C As such, while a given set of precipitation conditions may have a temperature ranging from 0 to 100 ⁰C, the temperature of the water may have to be adjusted m certain embodiments to produce the desired precipitation material

[00117] For carbonate compounds, m normal seawater, 93% of the dissolved CO₂ is m the form of bicarbonate ions (HCO₃ ) and 6% is m the form of carbonate ions (CO₃ ² ) When calcium carbonate precipitates from normal seawater, CO2 is released In fresh water, above pH 10 33, greater than 90% of the carbonate is m the form of carbonate ion, and no CO₂ is released during the precipitation of calcium carbonate In seawater this transition occurs at a slightly lower pH, closer to a pH of 9 7 While the pH of the water employed m methods may range from 5 to 14 during a given precipitation process, in certain embodiments the pH is raised to alkaline levels m order to drive the precipitation of carbonate compounds, as well as other compounds, e g , hydroxide compounds, as desired In certain of these embodiments, the pH is raised to a level that minimizes if not eliminates CO2 production during precipitation, causing dissolved CO₂, e g , m the form of carbonate and bicarbonate, to be trapped m the precipitation material In these embodiments, the pH may be raised to 10 or higher, such as 11 or higher [00118] The pH of the water may be raised using any convenient approach In certain embodiments, a proton- removing agent is employed, where examples of such agents include oxides, hydroxides (e g , calcium oxide m fly ash, potassium hydroxide, sodium hydroxide, brucite (Mg(OH₂), etc ), carbonates (e g , sodium carbonate), and the like, many of which are described above One such approach for raising the pH of the precipitation reaction mixture or precursor thereof (e g , divalent cation-contaimng solution) is to use the coal ash from a coal-fired power plant, which contains many oxides Other coal processes, like the gasification of coal, to produce syngas, also produce hydrogen gas and carbon monoxide, and may serve as a source of hydroxide as well. Some naturally occurring minerals, such as serpentine, contain hydroxide and may be dissolved to yield a source of hydroxide. The addition of serpentine also releases silica and magnesium into the solution, leading to the formation of silica-contaming precipitation material. The amount of proton-removing agent that is added to the reaction mixture or precursor thereof will depend on the particular nature of the proton-removing agent and the volume of the reaction mixture or precursor thereof being modified, and will be sufficient to raise the pH of the reaction mixture or precursor thereof to the desired pH. Alternatively, the pH of the reaction mixture or precursor thereof may be raised to the desired level by electrochemical means as described above Additional electrochemical methods may be used under certain conditions For example, electrolysis may be employed, wherein the mercury cell process (also called the Castner- Kellner process), the diaphragm cell process, the membrane cell process, or some combination thereof is used Where desired, byproducts of the hydrolysis product, e g., H₂, sodium metal, etc. may be harvested and employed for other purposes, as desired. In yet other embodiments, the pH-elevating approach described in U S. Provisional Patent Application Nos 61/081,299, filed 16 July 2008, and 61/091,729, filed 25 August 2008, may be employed, the disclosures of which are incorporated herein by reference.

[00119] Additives other than pH -elevating agents may also be introduced into the water in order to influence the nature of the material that is produced As such, certain embodiments of the methods include providing an additive in water before or during the time when the water is subjected to the precipitation conditions. Certain calcium carbonate polymorphs can be favored by trace amounts of certain additives For example, vaterite, a highly unstable polymorph of CaCθ3, which precipitates m a variety of different morphologies and converts rapidly to calcite, can be obtained at very high yields by including trace amounts of lanthanum as lanthanum chloride m a supersaturated solution of calcium carbonate Other additives beside lanthanum that are of interest include, but are not limited to transition metals and the like. For instance, the addition of ferrous or ferric iron is known to favor the formation of disordered dolomite (protodolomite) where it would not form otherwise. [00120] The nature of the precipitation material can also be influenced by selection of appropriate major ion ratios. Major ion ratios also have considerable influence of polymorph formation For example, as the magnesium: calcium ratio in the water increases, aragonite becomes the favored polymorph of calcium carbonate over low-magnesium calcite. At low magnesiumxalcium ratios, low-magnesium calcite is the preferred polymorph. As such, a wide range of magnesium: calcium ratios can be employed, including, for example, 100: 1, 50.1, 20:1, 10:1, 5:1, 2.1, 1:1, 1:2, 1.5, 1.10, 1.20, 1.50, 1.100, or any of the ratios mentioned above. In certain embodiments, the magnesiumxalcium ratio is determined by the source of water employed m the precipitation process (e.g., seawater, brme, brackish water, fresh water), whereas in other embodiments, the magnesiumxalcium ratio is adjusted to fall within a certain range [00121] Rate of precipitation also has a large effect on compound phase formation. The most rapid precipitation can be achieved by seeding the solution with a desired phase. Without seeding, rapid precipitation can be achieved by rapidly increasing the pH of the seawater, which results m more amorphous constituents. When silica is present, the more rapid the reaction rate, the more silica is incorporated in the carbonate-containing precipitation material The higher the pH is, the more rapid the precipitation is and the more amorphous the precipitation material. [00122] Accordingly, a set of precipitation conditions to produce a desired precipitation material from a solution of divalent cations includes, m certain embodiments, the water's temperature and pH, and in some instances, the concentrations of additives and ionic species m the water. Precipitation conditions may also include factors such as mixing rate, forms of agitation such as ultrasonics, and the presence of seed crystals, catalysts, membranes, or substrates In some embodiments, precipitation conditions include supersaturated conditions, temperature, pH, and/or concentration gradients, or cycling or changing any of these parameters The protocols employed to prepare bicarbonate and/or carbonate-containing precipitation material according to the invention may be batch or continuous protocols It will be appreciated that precipitation conditions may be different to produce a given precipitation material m a continuous flow system compared to a batch system

[00123] In certain embodiments, the methods further include contacting the volume of water that is subjected to the mineral precipitation conditions with a source of CO2 Contact of the water with the source CO2 may occur before and/or during the time when the water is subjected to CO₂ precipitation conditions Accordingly, embodiments of the invention include methods m which the volume of water is contacted with a source OfCO₂ prior to subjecting the volume of saltwater to mineral precipitation conditions Embodiments of the invention include methods m which the volume of saltwater is contacted with a source of CO₂ while the volume of saltwater is being subjected to bicarbonate and/or carbonate compound precipitation conditions Embodiments of the invention include methods m which the volume of water is contacted with a source of a CO₂ both prior to subjecting the volume of saltwater to bicarbonate and/or carbonate compound precipitation conditions and while the volume of saltwater is being subjected to bicarbonate and/or carbonate compound precipitation conditions In some embodiments, the same water may be cycled more than once, wherein a first cycle of precipitation removes primarily calcium carbonate and magnesium carbonate minerals, and leaves remaining alkaline water to which other alkaline earth ion sources may be added, that can have more carbon dioxide cycled through it, precipitating more carbonate compounds [00124] The source of CO₂ that is contacted with the volume of saltwater m these embodiments may be any convenient CO2 source of the requisite 6¹³C value, and the contact protocol may be any convenient protocol Where the CO₂ is a gas, contact protocols of interest include, but are not limited to. direct contacting protocols, e g , bubbling the gas through the volume of saltwater, concurrent contacting means, 1 e , contact between unidirectionally flowing gaseous and liquid phase streams, countercurrent means, 1 e , contact between oppositely flowing gaseous and liquid phase streams, and the like Thus, contact may be accomplished through use of rnfusers, bubblers, fluidic Ventuπ reactor, sparger, gas filter, spray, tray, or packed column reactors, and the like, as may be convenient For exemplary system and methods for contacting the solution of divalent cations with the source of CO2, see U S Provisional Patent Application Nos 61/158,992, filed 10 March 2009, 61/168,166, filed 9 April 2009, 61/170,086, filed 16 April 2009, 61/178,475, filed 14 May 2009, 61/228,210, filed 24 July 2009, 61/230,042, filed 30 July 2009, and 61/239,429, filed 2 September 2009, each of which is incorporated herein by reference [00125] The above protocol results in the production of a slurry of a precipitation material and a mother liquor Where desired, the compositions made up of the precipitation material and the mother liquor may be stored for a period of time following precipitation and prior to further processing, or may not be processed any further or minimally processed and may be used as a slurry, e g , as a flowable composition, for storage, disposal, or other use If desired, the flowable composition may be pumped underground for long-term sequestration of the CO₂ contained m the precipitated and/or soluble components Alternatively, the slurry may be stored for later use For example, the composition may be stored for a period of time ranging from 1 to 1000 days or longer, such as 1 to 10 days or longer, at a temperature ranging from 1 to 40⁰C, such as 20 to 25°C

[00126] If further treatment is desired, the slurry components may then be separated Embodiments may include treatment of the mother liquor, where the mother liquor may or may not be present m the same composition as the product For example, where the mother liquor is to be returned to the ocean, the mother liquor may be contacted with a gaseous source of CO₂ in a manner sufficient to increase the concentration of carbonate ion present in the mother liquor Contact may be conducted using any convenient protocol, such as those described above In certain embodiments, the mother liquor has an alkaline pH, and contact with the CO₂ source is carried out m a manner sufficient to reduce the pH to a range between 5 and 9, e g , 6 and 8 5, including 7 5 to 8 2 In certain embodiments, the treated brine may be contacted with a source of CO₂, e g , as described above, to sequester further CO₂ For example, where the mother liquor is to be returned to the ocean, the mother liquor may be contacted with a gaseous source of CO₂ in a manner sufficient to increase the concentration of carbonate ion present m the mother liquor Contact may be conducted using any convenient protocol, such as those described above In certain embodiments, the mother liquor has an alkaline pH, and contact with the CO₂ source is carried out in a manner sufficient to reduce the pH to a range between 5 and 9, e g , 6 and 8 5, including 7 5 to 8 2 [00127] The resultant mother liquor of the reaction may be itself a solution that is a composition of the invention In some embodiments, the mother liquor may be disposed of using any convenient protocol In certain embodiments, it may be sent to a tailings pond for disposal In certain embodiments, it may be disposed of m a naturally occurring body of water, e g , ocean, sea, lake or river In certain embodiments, the mother liquor is returned to the source of feed water for the methods of invention, e g , an ocean or sea Alternatively, the mother liquor may be further processed, e g , subjected to desalination protocols, as described further in United States Application Serial No 12/163,205, the disclosure of which is herein incorporated by reference

[00128] In certain embodiments, following production of the product, the resultant product is separated from the mother liquor to produce separated product Separation of the product can be achieved using any convenient approach, including a mechanical approach, e g , where bulk excess water is drained from the product, e g , either by gravity alone or with the addition of vacuum, mechanical pressing, by filtering the product from the mother liquor to produce a filtrate, etc Separation of bulk water produces, in certain embodiments, a wet, dewatered precipitation material In some embodiments, the dewatered precipitation material is more than 5% water, more than 10% water, more than 20% water, more than 30% water, more than 50% water, more than 60% water, more than 70% water, more than 80% water, more than 90% water, or more than 95% water [00129] The resultant dewatered precipitation material may then be dried, as desired, to produce a dried product Drying can be achieved by air drying the wet precipitation material Where the wet precipitation material is air dried, air drying may be at room or elevated temperature In yet another embodiment, the wet precipitation material is spray dried to dry the precipitation material, where the liquid containing the precipitation material is dried by feeding it through a hot gas (such as the gaseous waste stream from the power plant), e g , where the liquid feed is pumped through an atomizer into a mam drying chamber and a hot gas is passed as a co-current or counter-current to the atomizer direction Depending on the particular drying protocol of the system, the drying station may include a filtration element, freeze drying structure, spray drying structure, etc Where desired, the dewatered precipitation material product may be washed before drying The precipitation mateπal may be washed with freshwater, e g , to remove salts (such as NaCl) from the dewatered precipitation material [00130] In certain embodiments, the precipitation material is refined (1 e , processed) m some manner prior to subsequent use Refinement may include a variety of different protocols In certain embodiments, the product is subjected to mechanical refinement, e g , grinding, m order to obtain a product with desired physical properties, e g , particle size, etc

Examples:

Example 1. Measurement of S¹³C value for a solid precipitate and starting materials [00131] This Example demonstrates precipitation of carbonate material from saline solution using bottled carbon dioxide (CO₂) and a magnesium rich industrial waste material and determination of δ¹³C values for materials and product The procedure was conducted in a container open to the atmosphere [00132] The starting materials were commercially available bottled CO₂ gas, seawater, and brucite tailings from a magnesium hydroxide production site as the industrial waste source of base The brucite tailings were approximately 85% Mg(OH)₂, 12% CaCO₃ and 3% SiO₂ as determined by a Rietveld analysis of the x-ray diffraction pattern of a dry aliquot of the tailings [00133] A container was filled with locally available seawater (around Santa Cruz, CA) Brucite tailings were added to the seawater, providing a pH (alkaline) and divalent cation concentration suitable for carbonate precipitation and CO₂ gas was sparged into the alkaline seawater solution Sufficient time was allowed for interaction of the components of the reaction, after which the precipitate material was separated from the remaining seawater solution, also known as the supernatant solution The precipitate carbonate material was dried at 40°C m air See Figure 3 The resulting powder was suitable, with further processing, for use, e g , as a material m the built environment, such as aggregate for use m a road bed, concrete, or the like The powder could also have been stored as it was produced, as a carbon-sequestering storage material Alternatively, the material could have been left in the supernatant solution and stored, optionally after equilibration with atmospheric air, as a slurry, where both the precipitate and the carbonates and bicarbonates m solution serve as carbon-sequestering materials Other uses for the material are as described herein, and would be apparent to one of skill m the art The carbonate material was characterized using δ¹³C analysis, x-ray diffraction (XRD) analysis, and scanning electron microscopy (SEM) [00134] δ¹³C values for the process starting materials, precipitate carbonate material and supernatant solution were measured The δ C value for the atmospheric air was not measured, but a value from literature is given m Table 2 The analysis system used was manufactured by Los Gatos Research and uses direct absorption spectroscopy to provide δ¹³C and concentration data for dry gases ranging from 2% to 20% CO₂ The instrument was calibrated using standard 5% CO₂ gases with known isotopic composition, and measurements OfCO₂ evolved from samples of travertine and IAEA marble #20 digested m 2M perchloric acid yielded values that were withm acceptable measurement error of the values found m literature The CO₂ source gas was sampled using a syringe The CO₂ gas was passed through a gas dryer (Perma Pure MD Gas Dryer, Model MD-110-48F-4 made of Nafion ® polymer), then into the bench-top commercially available carbon isotope analysis system Solid samples, such as the brucite tailings and precipitate, were first digested with heated perchloric acid (2M HCIO₄) CO₂ gas was evolved from the closed digestion system, and then passed into the gas dryer From there, the gas was collected and injected into the analysis system, resulting m δ¹³C data This digestion process is shown m Figure 2 Similarly, the supernatant solution was digested to evolve CO₂ gas that was then dried and passed to the analysis instrument resulting m δ¹³C data

[00135] Measurements from the analysis of the CO₂ source, industrial waste (brucite tailings), carbonate precipitate, and supernatant solution are listed m Table 2 and illustrated m Figure 7 The δ¹³C values for the precipitate and supernatant solution were -31 98%o and -38 59%o, respectively The δ¹³C values of both products of the reaction reflect the incorporation of the CO₂ source (δ¹³C = -41 39 %o) and the influence of the brucite tailings that included some calcium carbonate (δ¹³C = -6 73%o) This Example illustrates that δ¹³C values may be used to confirm the primary source of carbon m a carbonate composition as well as m a solution produced from the carbon dioxide TABLE 2

EXPERIMENTAL SOURCE MATERIALS AND VALUES MEASURED FOR ISOTOPIC FRACTIONATION CHARACTERIZATION

3 Zeebe, R E and Wolf-Galdrow, E , CO? m Seawater. Equilibrium, Kinetics, Isotopes (2005) Elsevier, San Diego, g 169

4 FROM NIST SPECIFICATION RM8563, CO₂ Light Isotopic Gas Standard

Example 2: Measurement of δ C value for a solid precipitate and starting materials

[00136] This precipitation was conducted m a 250,000 gallon container The starting materials were commercially available bottled CO₂ gas, seawater (from around Santa Cruz, CA), 50% NaOH solution, and brucite tailings as the industrial waste The brucite tailings were approximately 85% Mg(OH)₂, 12% CaCO₃ and 3% SiO₂ as determined by a Rietveld analysis of the x-ray diffraction pattern of a dry aliquot of the tailings The 250,000 gallon container was partially filled with locally available seawater The carbon dioxide gas was sparged into the sea water through diffusers located at the bottom of the container After CO₂ sparging, the pH of the sea water reached approximately 5 5 Brucite tailings were added to the seawater, providing an increase m magnesium concentration and alkalinity suitable for the precipitation of carbonate solids without releasing CO₂ into the atmosphere The CO₂ gas sparging and brucite tailings addition ceased Sodium hydroxide solution was then added to achieve a pH of approximately 9 5 Sufficient time was allowed for interaction of the components of the reaction, after which the precipitate material was separated from the remaining seawater solution, also known as the supernatant solution Hot, dry air m a spray drying apparatus was used to dry this material Over 500 kg of material was produced See Figure 4 The resulting powder was suitable, with further processing, for use, e g , as a material m the built environment, such as aggregate for use in a road bed, concrete, or the like. The powder could also have been stored as it was produced, as a carbon-sequestering storage material. Alternatively, the material could have been left in the supernatant solution and stored, optionally after equilibration with atmospheric air, as a slurry, where both the precipitate and the carbonates and bicarbonates in solution serve as carbon-sequestermg materials Other uses for the material are as described herein, and would be apparent to one of skill in the art The carbonate material was characterized using 6¹³C analysis, x-ray diffraction (XRD) analysis, and scanning electron microscopy (SEM).

[00137] δ¹³C values for the process starting materials, resulting materials and supernatant solution were measured The 6¹³C value for the atmospheric air was not measured, but a value from literature is given in Table 2. The analysis system used was manufactured by Los Gatos Research as described in Example 1. [00138] Measurements from the analysis of the CO₂ source, industrial waste (brucite tailings), carbonate precipitate, and supernatant solution are listed in Table 2 and illustrated in Figure 8. The δ¹³C values for the precipitate and supernatant solution were -30 04%o and -34 16%o, respectively. The δ¹³C values of both products of the reaction reflect the incorporation of the CO₂ source (δ¹³C = -41.56%o) and the influence of the brucite tailings that included some calcium carbonate (δ¹³C = -6.73%o). The precipitated carbonate material was more likely to incorporate calcium carbonate from the brucite tailings than the supernatant solution, so the δ¹³C value of the precipitate reflects that by being less negative than that of the supernatant solution. This Example illustrates that δ¹³C values may be used to confirm the primary source of carbon in a carbonate composition as well as in a solution produced from the carbon dioxide.

Example 3: Measurement of 6¹³C value for a solid precipitate and starting materials

[00139] This experiment was performed using flue gas resulting from burning propane and a magnesium rich industrial waste material. The procedure was conducted in a container open to the atmosphere [00140] The starting materials were flue gas from a propane burner, seawater (from around Santa Cruz, CA), and brucite tailings as the industrial waste. The brucite tailings were approximately 85% Mg(OH)₂, 12% CaCO3 and 3% SiO₂ as determined by a Rietveld analysis of the x-ray diffraction pattern of a dry aliquot of the tailings.

[00141] A container was filled with locally available seawater Brucite tailings were added to the seawater, providing a pH (alkaline) and divalent cation concentration suitable for carbonate precipitation without releasing CO₂ into the atmosphere. Flue gas was sparged at a rate and time suitable to precipitate carbonate material from the alkaline seawater solution Sufficient time was allowed for interaction of the components of the reaction, after which the precipitate material was separated from the remaining seawater solution, also known as the supernatant solution, and spray-dried See Figure 5 The resulting powder was suitable, with further processing, for use, e g , as a material in the built environment, such as aggregate for use m a road bed, concrete, or the like. The powder could also have been stored as it was produced, as a carbon-sequestermg storage material. Alternatively, the material could have been left m the supernatant solution and stored, optionally after equilibration with atmospheric air, as a slurry, where both the precipitate and the carbonates and bicarbonates in solution serve as carbon-sequestering materials As used herein, "CO₂-sequestering" and "carbon-sequestering" are synonymous. Other uses for the material are as described herein, and would be apparent to one of skill m the art.

[00142] δ¹³C values for the process starting materials, resulting precipitate carbonate material and supernatant solution were measured The δ¹³C value for the atmospheric air was not measured, but a value from literature is given in Table 2 and illustrated in Figure 9 The analysis system used was manufactured by Los Gatos Research and uses direct absorption spectroscopy to provide δ¹³C and concentration data for gases ranging from 2% to 20% CO₂, as detailed m Example 1. [00143] Measurements from the analysis of the flue gas, industrial waste (brucite tailings), carbonate precipitate, and supernatant solution are listed in Table 2. The δ¹³C values for the precipitate and supernatant solution were - 19.92%o and -24.8%o, respectively. The δ¹³C values of both products of the reaction reflect the incorporation of the flue gas, CO₂ source, (6¹³C = -25.00%o) and the influence of the brucite tailings that included some calcium carbonate (δ¹³C = -6.73%o). This Example illustrates that δ¹³C values may be used to confirm the primary source of carbon in a carbonate composition when the CO₂ source for the carbonate is combustion, as well as in a solution produced from the carbon dioxide.

Example 4. Measurement of O¹³C value for a solid precipitate and starting materials [00144] This experiment precipitated carbonated material from an aqueous solution using a bottled mixture of SO₂ and carbon dioxide (CO₂) gases and a fly ash as an industrial waste material. The procedure was conducted in a closed container.

[00145] The starting materials were a commercially available bottled mixture of SO₂ and CO₂ gas (SO₂/CO₂ gas), de-ionized water, and fly ash as the industrial waste. [00146] A container was filled with de-ionized water Fly ash was added to the de-ionized water after slaking, providing a pH (alkaline) and divalent cation concentration suitable for carbonate precipitation without releasing CO₂ into the atmosphere. SO₂/CO₂ gas was sparged at a rate and time suitable to precipitate carbonate material from the alkaline solution. Sufficient time was allowed for interaction of the components of the reaction, after which the precipitate material was separated from the remaining solution, also known as the supernatant solution and spray- dried. See Figure 6. The resulting powder was suitable, with further processing, for use, e.g , as a material in the built environment, e.g., as aggregate for use in a road bed, concrete, or the like. The powder could also have been stored as it was produced, as a carbon- sequestering storage material. Alternatively, the material could have been left m the supernatant solution and stored, optionally after equilibration with atmospheric air, as a slurry, where both the precipitate and the carbonates and bicarbonates in solution serve as carbon-sequestermg materials Other uses for the material are as described herein, and would be apparent to one of skill in the art.

[00147] δ¹³C values for the process starting materials, precipitate carbonate material and supernatant solution were measured as detailed in Example 1

[00148] Measurements from the analysis of the SO₂/CO₂ gas, industrial waste (fly ash), carbonate precipitate, and supernatant solution are listed in Table 2 and illustrated in Figure 10. The δ¹³C values for the precipitate and supernatant solution were -15 88%o and -11 70%o, respectively The δ¹³C values of both products of the reaction reflect the incorporation of the SO2/CO2 gas (δ¹³C = -12 45%o) and the fly ash that included some carbon that was not fully combusted to a gas (δ¹³C = -17.46%o). Because the fly ash, itself a product of fossil fuel combustion, had a more negative δ¹³C than the CO₂ used, the overall δ¹³C value of the precipitate reflects that by being more negative than that of the CO₂ itself. This Example illustrates that δ¹³C values may be used to confirm the primary source of carbon in a carbonate composition, when a gas mixture that includes a SO_x (SO₂) as well as CO₂ is used

[00149] While preferred embodiments of the present invention have been shown and described herein, it will be obvious to those skilled in the art that such embodiments are provided by way of example only. Numerous variations, changes, and substitutions will now occur to those skilled m the art without departing from the invention. It should be understood that various alternatives to the embodiments of the invention described herein may be employed m practicing the invention It is intended that the following claims define the scope of the invention and that methods and structures within the scope of these claims and their equivalents be covered thereby.

Claims

CLAIMS WHAT IS CLAIMED IS.

1 A composition comprising carbonates, bicarbonates, or a combination thereof, wherein the carbon m the composition has a relative carbon isotope composition (6¹³C) value less than -26 10 %o

2 The composition of claim 1 wherein the composition is a synthetic composition

3 The composition of claim 1 wherein the carbonates, bicarbonates, or combination thereof make up at least 50% of the composition

4 The composition of claim 1 wherein the composition has a mass of greater than 100 kg

5 The composition of claim 1 wherein the CO₂ content of the composition is at least 10%

6 The composition of claim 1 wherein the composition has a negative carbon footprint

7 The composition of claim 1 further comprising boron, sulfur, or nitrogen wherein the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin

8 The composition of claim wherein the carbonates, bicarbonates, or combination thereof comprise calcium, magnesium or a combination thereof

9 The composition of claim 8 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1

10 The composition of claim 8 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15

11 The composition of claim 8 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10

12 The composition of claim 1 further comprising SOx or a derivative thereof

13 The composition of claim 12 wherein the composition comprises a SOx derivative and wherein the SOx derivative is a sulfite, a sulfate, or a combination thereof

14 The composition of claim 1 further comprising a metal

15 The composition of claim 14 wherein the metal comprises lead, arsenic, mercury, or cadmium or a combination thereof

16 A building material comprising a component comprising carbonates, bicarbonates, or a combination thereof, wherein the carbon m the carbonates, bicarbonates, or combination thereof has a relative carbon isotope composition (δ¹³C) value less than -10 00 %o

17 The building material of claim 16 wherein the component comprising carbonates, bicarbonates, or combination thereof is carbon-neutral or carbon negative

18 The building material of claim 16 wherein the component comprising carbonates, bicarbonates, or combination thereof is synthetic

19 The building material of claim 16 wherein the carbonates, bicarbonates, or combination thereof make up at least 50% of the component comprising carbonates, bicarbonates, or combination thereof

20 The building material of claim 16 wherein the CO₂ content of the component comprising carbonates, bicarbonates, or combination thereof is at least 10%

21 The building material of claim 16 further comprising boron, sulfur, or nitrogen wherein the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin

22 The building material of claim 16 wherein the carbonates, bicarbonates, or combination thereof comprise calcium, magnesium or a combination thereof

23 The building material of claim 22 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1

24 The building material of claim 22 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15

25 The building material of claim 16 wherein the component comprising carbonates, bicarbonates, or combination thereof constitutes at least 20% of the building material

26 The building material of claim 16 wherein the building material is a cementitious material

27 The cementitious building material of claim 26 wherein the building material is cement or concrete

28 The building material of claim 16 wherein the building material is a non-cementitious mateπal

29 The building material of claim 28 wherein the building material is an aggregate

30 The building material of claim 28 wherein the building material is a roadway material

31 The building material of claim 28 wherein the building material is a brick, a board, a conduit, a beam, a basm, a column, a tile, a fiber sidmg product, a slab, an acoustic barrier, plaster, dry-wall, stucco, a soil stabilization composition, or insulation or combinations thereof

32 The building material of claim 16 wherein the component comprising carbonates, bicarbonates, or combination thereof further comprises SOx or a derivative thereof

33 The building material of claim 32 wherein the component comprises a derivative of SOx and wherein the derivative is a sulfate, a sulfite, or a combination thereof

34 The building material of claim 16 wherein the component comprising carbonates, bicarbonates, or combination thereof further comprises a metal

35 The building material of claim 32 wherein the metal comprises lead, arsenic, mercury or cadmium or combinations thereof

36 A flowable composition comprising carbonates, bicarbonates, or a combination thereof wherein the carbon in the carbonates, bicarbonates, or combination thereof has a relative carbon isotope composition (δ¹³C) value less than -5 00 %o and the viscosity of the composition is between 1 and 2000 cP

37 The composition of claim 36 wherein the viscosity is between 10 and 1000 cP

38 The composition of claim 36 wherein the composition is a synthetic composition

39 The composition of claim 36 wherein the carbonates, bicarbonates, or combination thereof make up at least 10% w/w of the composition

40 The composition of claim 36 wherein the CO₂ content of the composition is at least 10%

41 The composition of claim 36 wherein the composition has a negative carbon footprint

42 The composition of claim 36 further comprising boron, sulfur, or nitrogen wherein the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin

43 The composition of claim 36 wherein the carbonates, bicarbonates, or combination thereof comprise calcium, magnesium or a combination thereof

44 The composition of claim 43 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1

45 The composition of claim 43 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15

46 The composition of claim 43 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10

47 The composition of claim 36 further comprising SOx or a derivative thereof

48. The composition of claim 36 further comprising a metal.

49. The composition of claim 48 wherein the metal comprises lead, arsenic, mercury, or cadmium or a combination thereof

50. A synthetic composition comprising carbonates, bicarbonates, or a combination thereof, wherein the carbon in the composition has a relative carbon isotope composition (δ¹³C) value less than -5.00 %o and the composition is carbon negative.

51. The composition of claim 50 wherein the carbonates, bicarbonates, or combination thereof make up at least 50% of the composition.

52. The composition of claim 50 wherein the composition has a mass of greater than 100 kg

53. The composition of claim 50 wherein the CO₂ content of the composition is at least 10%.

54. The composition of claim 50 further comprising boron, sulfur, or nitrogen wherein the relative isotopic composition of the boron, sulfur, or nitrogen is indicative of a fossil fuel origin.

55. The composition of claim 50 wherein the carbonates, bicarbonates, or combination thereof comprise calcium, magnesium or a combination thereof

56. The composition of claim 55 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 1/200 and 200/1

57. The composition of claim 55 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 12/1 to 1/15.

58. The composition of claim 55 wherein the calcium to magnesium (Ca/Mg) molar ratio is between 5/1 to 1/10

59 The composition of claim 50 further comprising SOx or a derivative thereof

60. The composition of claim 50 further comprising a metal.

61. The composition of claim 60 wherein the metal comprises lead, arsenic, mercury, or cadmium or a combination thereof

62. A method of characterizing a synthetic composition comprising determining a relative carbon isotope composition (δ¹³C) value for the composition.

63. The method of claim 62 wherein the composition is a building material, or a material for underground storage.

64. The method of claim 62 wherein the composition is a cementitious composition, or an aggregate. 65 The method of claim 62 wherein the composition is a composition for storage of CO₂

66 The method of claim 62 further comprising determining the stability of the composition for release Of CO₂

67 The method of claim 62 further comprising measuring the carbon content for the composition

68 The method of claim 62 further comprising comparing the δ¹³C value of the composition to another δ¹³C value

69 The method of claim 68 where the other δ¹³C value is a reference δ¹³C value

70 The method of claim 69 wherein the other δ¹³C value is a value for a possible raw material for the composition

71 The method of claim 69 wherein the other δ¹³C value is a value for a fossil fuel, a flue gas derived from the fossil fuel, a water source, or a combination thereof

72 The method of claim 69 further comprising determining whether the composition comprises sequestered CO₂ from a fossil fuel source based on the comparison

73 The method of claim 62 further comprising quantifying the amount of carbon dioxide sequestered m the composition

74 A method of fingerprinting a composition comprising determining the values for stable isotopes of a plurality of elements, or the values for the ratios of stable isotopes of a plurality of elements m the composition to determine an isotopic fingerprint for the composition, wherein the composition comprises carbonates, bicarbonates, or a combination thereof

75 The method of claim 74 wherein the stable isotopes comprise isotopes of carbon, sulfur, nitrogen or boron or combinations thereof

76 The method of claim 74 wherein the composition is a building material or a material for underground storage

77 The method of claim 74 wherein the composition is a composition for storing compounds of elements of at least two of the isotopes so determined

78 The method of claim 74 further comprising comparing at least two of the values for stable isotopes or at least two of the values for the ratios of stable isotopes, or a combination thereof

79 The method of claim 74 further comprising determining the probable source of one or more components of the composition based on the isotopic fingerprint of the material 80 A method of determining whether or not a composition contains an element sequestered from a fossil fuel source comprising determining an isotopic value or a ratio of isotopic values for the element, comparing the determined value with a reference isotopic value or ratio of isotopic values, and determining whether the composition contains an element sequestered from a fossil fuel source

81 The method of claim 80 wherein the element is carbon, sulfur, nitrogen, or boron

82 The method of claim 80 wherein the element is carbon and the comparison is a δ¹³C value