Influence of Mg<sup>2+</sup>, Fe<sup>2+</sup> and Zn<sup>2+</sup> Cations on <sup>13</sup>C-<sup>18</sup>O Bonds in Precipitated Aragonite, Calcite and Dolomite: An <i>ab Initio</i> Study — Oak Academic Publishing
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Influence of Mg<sup>2+</sup>, Fe<sup>2+</sup> and Zn<sup>2+</sup> Cations on <sup>13</sup>C-<sup>18</sup>O Bonds in Precipitated Aragonite, Calcite and Dolomite: An <i>ab Initio</i> Study
Key Laboratory of Earth and Planetary Physics, Institute of Geology and Geophysics, Chinese Academy of Science, Beijing, China
1 Key Laboratory of Earth and Planetary Physics, Institute of Geology and Geophysics, Chinese Academy of Science, Beijing, China
The influence of metal cations on 13 C- 18 O bonds in carbonates is still under debate. This paper used ab initio method to investigate this kind of influence of Mg 2+ , Fe 2+ and Zn 2+ cations on 13 C- 18 O bonds in precipitated aragonite, calcite and dolomite. The polynomials of Δ 47 and reduced partition function ratios (RPFRs) for 13/12 C, 14/12 C and 18/16 O of these minerals were given within temperatures ranging from 260 to 1500 K. We found that these cations significantly decreased the Δ 47 values at the level of 10 -3 - 10 -2 per mil , comparing with pure crystals; and that if the Δ 47 values were used to reconstruct the temperatures T s, the deviation of T was about 7.2 ° C for, for instance, zinc-enriched aragonite, as discussed in our paper. It was suggested that due to such influence, researchers would better use a proper thermometer according to the main impurity metal cations in carbonates. We also found that according to the probability theory, the theoretical value of the influence of phosphoric acid on Δ 47 of CO 2 degassed from different carbonates was zero.
Wang, Z.G., Schauble, E.A. and Eiler, J.M. (2004) Equilibrium Thermodynamics of Multiply Substituted Isotopologues of Molecular Gases. Geochimica et Cosmochimica Acta, 68, 4779-4797. http://dx.doi.org/10.1016/j.gca.2004.05.039
Eiler, J.M. (2007) “Clumped-Isotope” Geochemistry—The Study of Naturally-Occurring, Multiply-Substituted Isotopologues. Earth and Planetary Science Letters, 262, 309-327. http://dx.doi.org/10.1016/j.epsl.2007.08.020
Eiler, J.M. and Schauble, E. (2004) 18O13C16O in Earth’s Atmosphere. Geochimica et Cosmochimica Acta, 68, 4767-4777. http://dx.doi.org/10.1016/j.gca.2004.05.035
Schauble, E.A., Ghosh, P. and Eiler, J.M. (2006) Preferential Formation of 13C-18O Bonds in Carbonate Minerals, Estimated Using First-Principles Lattice Dynamics. Geochimica et Cosmochimica Acta, 70, 2510-2529. http://dx.doi.org/10.1016/j.gca.2006.02.011
Guo, W.F., Mosenfelder, J.L., Goddard, W.A. and Eiler, J.M. (2009) Isotopic Fractionations Associated with Phosphoric Acid Digestion of Carbonate Minerals: Insights from First-Principles Theoretical Modeling and Clumped Isotope Measurements. Geochimica et Cosmochimica Acta, 73, 7203-7225. http://dx.doi.org/10.1016/j.gca.2009.05.071
Ghosh, P., Adkins, J., Affek, H., Balta, B., Guo, W.F., Schauble, E.A., et al. (2006) 13C-18O Bonds in Carbonate Minerals: A New Kind of Paleothermometer. Geochimica et Cosmochimica Acta, 70, 1439-1456. http://dx.doi.org/10.1016/j.gca.2005.11.014
Hill, P.S., Tripati, A.K. and Schauble, E.A. (2014) Theoretical Constraints on the Effects of pH, Salinity, and Temperature on Clumped Isotope Signatures of Dissolved Inorganic Carbon Species and Precipitating Carbonate Minerals. Geochimica et Cosmochimica Acta, 125, 610-652. http://dx.doi.org/10.1016/j.gca.2013.06.018
Dennis, K.J. and Schrag, D.P. (2010) Clumped Isotope Thermometry of Carbonatites as an Indicator of Diagenetic Alteration. Geochimica et Cosmochimica Acta, 74, 4110-4122. http://dx.doi.org/10.1016/j.gca.2013.06.018
Ghosh, P., Eiler, J., Campana, S.E. and Feeney, R.F. (2007) Calibration of the Carbonate “Clumped Isotope” Paleothermometer for Otoliths. Geochimica et Cosmochimica Acta, 71, 2736-2744. http://dx.doi.org/10.1016/j.gca.2007.03.015
Yuan, J., Zhang, Z. and Zhang, Y. (2014) 13C-18O Bonds in Precipitated Calcite and Aragonite: An ab Initio Study. Open Journal of Geology, 4, 436-480. http://dx.doi.org/10.4236/ojg.2014.49034
Schauble, E.A. and Eiler, J.M. (2004) Theoretical Estimates of Equilibrium 13C-18O Clumping in Carbonates and Organic Acids. Eos, Transactions American Geophysical Union, 85, 11A-0552.
Watson, E.B. (1996) Surface Enrichment and Trace-Element Uptake during Crystal Growth. Geochimica et Cosmochimica Acta, 60, 5013-5020. http://dx.doi.org/10.1016/S0016-7037(96)00299-2
Watson, E.B. (2004) A Conceptual Model for Near-Surface Kinetic Controls on the Trace-Element and Stable Isotope Composition of Abiogenic Calcite Crystals. Geochimica et Cosmochimica Acta, 68, 1473-1488. http://dx.doi.org/10.1016/j.gca.2003.10.003
Watson, E.B. and Liang, Y. (1995) A Simple Model for Sector Zoning in Slowly Grown Crystals: Implications for Growth Rate and Lattice Diffusion, with Emphasis on Accessory Minerals in Crustal Rocks. American Mineralogist, 80, 1179-1187.
DePaolo, D.J. (2011) Surface Kinetic Model for Isotopic and Trace Element Fractionation during Precipitation of Calcite from Aqueous Solutions. Geochimica et Cosmochimica Acta, 75, 1039-1056. http://dx.doi.org/10.1016/j.gca.2010.11.020
Rustad, J.R., Nelmes, S.L., Jackson, V.E. and Dixon, D.A. (2008) Quantum-Chemical Calculations of Carbon-Isotope Fractionation in CO2(g), Aqueous Carbonate Species, and Carbonate Minerals. Journal of Physical Chemistry A, 112, 542-555. http://dx.doi.org/10.1021/jp076103m
Kohn, W. and Sham, L.J. (1965) Self-Consistent Equations Including Exchange and Correlation Effects. Physical Review, 140, A1133.
Petersson, G.A. and Allaham, M.A. (1991) A Complete Basis Set Model Chemistry. II. Open-Shell Systems and the Total Energies of the First-Row Atoms. Journal of Chemical Physics, 94, 6081-6090. http://dx.doi.org/10.1063/1.460447
Petersson, G.A., Bennett, A., Tensfeldt, T.G., Allaham, M.A., Shirley, W.A. and Mantzaris, J. (1988) A Complete Basis Set Model Chemistry. I. The Total Energies of Closed-Shell Atoms and Hydrides of the First-Row Elements. Journal of Chemical Physics, 89, 2193-2218. http://dx.doi.org/10.1063/1.455064
Urey, H.C. (1947) The Thermodynamic Properties of Isotopic Substances. Journal of the Chemical Society, 562-581. http://dx.doi.org/10.1039/jr9470000562
Bigeleisen, J. and Mayer, M.G. (1947) Calculation of Equilibrium Constants for Isotopic Exchange Reactions. Journal of Chemical Physics, 15, 261-267. http://dx.doi.org/10.1063/1.1746492
Jarosch, D. and Heger, G. (1986) Neutron Diffraction Refinement of the Crystal-Structure of Aragonite. Tschermaks mineralogische und petrographische Mitteilungen, 35, 127-131. http://dx.doi.org/10.1007/BF01140844
Maslen, E.N., Streltsov, V.A. and Streltsova, N.R. (1993) X-Ray Study of the Electron-Density in Calcite, CaCo3. Acta Crystallographica Section B-Structural Science, 49, 636-641. http://dx.doi.org/10.1107/S0108768193002575
Steinfink, H. and Sans, F.J. (1959) Refinement of the Crystal Structure of Dolomite. American Mineralogist, 44, 679-682.
Yuan, J. (2014) Reduced Partition Function Ratio in the Frequency Complex Plane: A Mathematical Approach. Open Journal of Geology, 4, 654-664. http://dx.doi.org/10.4236/ojg.2014.412049
Yuan, J. and Liu, Y. (2012) Quantum-Mechanical Equilibrium Isotopic Fractionation Correction to Radiocarbon Dating: A Theory Study. Journal of Radioanalytical and Nuclear Chemistry, 292, 335-338. http://dx.doi.org/10.1007/s10967-011-1563-3
Grauel, A.L., Schmid, T.W., Hu, B., Bergami, C., Capotondi, L., Zhou, L.P., et al. (2013) Calibration and Application of the “Clumped Isotope” Thermometer to Foraminifera for High-Resolution Climate Reconstructions. Geochimica et Cosmochimica Acta, 108, 125-140. http://dx.doi.org/10.1016/j.gca.2012.12.049
McCrea, J.M. (1950) On the Isotopic Chemistry of Carbonates and a Paleotemperature Scale. Journal of Chemical Physics, 18, 849-857. http://dx.doi.org/10.1063/1.1747785
Swart, P.K., Burns, S.J. and Leder, J.J. (1991) Fractionation of the Stable Isotopes of Oxygen and Carbon in Carbon-Dioxide during the Reaction of Calcite with Phosphoric-Acid as a Function of Temperature and Technique. Chemical Geology, 86, 89-96.
Cao, X. and Liu, Y. (2012) Theoretical Estimation of the Equilibrium Distribution of Clumped Isotopes in Nature. Geochimica et Cosmochimica Acta, 77, 292-303. http://dx.doi.org/10.1016/j.gca.2011.11.021
Wang, J., Qian, Z., Qian, W., Zhuang, Y., He, Y. and Pan, C. (1999) Probability Statistics (Engineering Mathematics). Tongji University, Shanghai, 240-247. (In Chinese)
Cui, L.L. and Wang, X. (2014) Determination of Clumped Isotopes in Carbonate Using Isotope Ratio Mass Spectrometer: Effects of Extraction Potential and Long-Term Stability. International Journal of Mass Spectrometry, 372, 46-50. http://dx.doi.org/10.1016/j.ijms.2014.08.006
Wang, Z.G., Schauble, E.A. and Eiler, J.M. (2004) Equilibrium Thermodynamics of Multiply Substituted Isotopologues of Molecular Gases. Geochimica et Cosmochimica Acta, 68, 4779-4797. http://dx.doi.org/10.1016/j.gca.2004.05.039
Eiler, J.M. (2007) “Clumped-Isotope” Geochemistry—The Study of Naturally-Occurring, Multiply-Substituted Isotopologues. Earth and Planetary Science Letters, 262, 309-327. http://dx.doi.org/10.1016/j.epsl.2007.08.020
Eiler, J.M. and Schauble, E. (2004) 18O13C16O in Earth’s Atmosphere. Geochimica et Cosmochimica Acta, 68, 4767-4777. http://dx.doi.org/10.1016/j.gca.2004.05.035
Schauble, E.A., Ghosh, P. and Eiler, J.M. (2006) Preferential Formation of 13C-18O Bonds in Carbonate Minerals, Estimated Using First-Principles Lattice Dynamics. Geochimica et Cosmochimica Acta, 70, 2510-2529. http://dx.doi.org/10.1016/j.gca.2006.02.011
Guo, W.F., Mosenfelder, J.L., Goddard, W.A. and Eiler, J.M. (2009) Isotopic Fractionations Associated with Phosphoric Acid Digestion of Carbonate Minerals: Insights from First-Principles Theoretical Modeling and Clumped Isotope Measurements. Geochimica et Cosmochimica Acta, 73, 7203-7225. http://dx.doi.org/10.1016/j.gca.2009.05.071
Ghosh, P., Adkins, J., Affek, H., Balta, B., Guo, W.F., Schauble, E.A., et al. (2006) 13C-18O Bonds in Carbonate Minerals: A New Kind of Paleothermometer. Geochimica et Cosmochimica Acta, 70, 1439-1456. http://dx.doi.org/10.1016/j.gca.2005.11.014
Hill, P.S., Tripati, A.K. and Schauble, E.A. (2014) Theoretical Constraints on the Effects of pH, Salinity, and Temperature on Clumped Isotope Signatures of Dissolved Inorganic Carbon Species and Precipitating Carbonate Minerals. Geochimica et Cosmochimica Acta, 125, 610-652. http://dx.doi.org/10.1016/j.gca.2013.06.018
Dennis, K.J. and Schrag, D.P. (2010) Clumped Isotope Thermometry of Carbonatites as an Indicator of Diagenetic Alteration. Geochimica et Cosmochimica Acta, 74, 4110-4122. http://dx.doi.org/10.1016/j.gca.2013.06.018
Ghosh, P., Eiler, J., Campana, S.E. and Feeney, R.F. (2007) Calibration of the Carbonate “Clumped Isotope” Paleothermometer for Otoliths. Geochimica et Cosmochimica Acta, 71, 2736-2744. http://dx.doi.org/10.1016/j.gca.2007.03.015
Yuan, J., Zhang, Z. and Zhang, Y. (2014) 13C-18O Bonds in Precipitated Calcite and Aragonite: An ab Initio Study. Open Journal of Geology, 4, 436-480. http://dx.doi.org/10.4236/ojg.2014.49034
Schauble, E.A. and Eiler, J.M. (2004) Theoretical Estimates of Equilibrium 13C-18O Clumping in Carbonates and Organic Acids. Eos, Transactions American Geophysical Union, 85, 11A-0552.
Watson, E.B. (1996) Surface Enrichment and Trace-Element Uptake during Crystal Growth. Geochimica et Cosmochimica Acta, 60, 5013-5020. http://dx.doi.org/10.1016/S0016-7037(96)00299-2
Watson, E.B. (2004) A Conceptual Model for Near-Surface Kinetic Controls on the Trace-Element and Stable Isotope Composition of Abiogenic Calcite Crystals. Geochimica et Cosmochimica Acta, 68, 1473-1488. http://dx.doi.org/10.1016/j.gca.2003.10.003
Watson, E.B. and Liang, Y. (1995) A Simple Model for Sector Zoning in Slowly Grown Crystals: Implications for Growth Rate and Lattice Diffusion, with Emphasis on Accessory Minerals in Crustal Rocks. American Mineralogist, 80, 1179-1187.
DePaolo, D.J. (2011) Surface Kinetic Model for Isotopic and Trace Element Fractionation during Precipitation of Calcite from Aqueous Solutions. Geochimica et Cosmochimica Acta, 75, 1039-1056. http://dx.doi.org/10.1016/j.gca.2010.11.020
Rustad, J.R., Nelmes, S.L., Jackson, V.E. and Dixon, D.A. (2008) Quantum-Chemical Calculations of Carbon-Isotope Fractionation in CO2(g), Aqueous Carbonate Species, and Carbonate Minerals. Journal of Physical Chemistry A, 112, 542-555. http://dx.doi.org/10.1021/jp076103m
Kohn, W. and Sham, L.J. (1965) Self-Consistent Equations Including Exchange and Correlation Effects. Physical Review, 140, A1133.
Petersson, G.A. and Allaham, M.A. (1991) A Complete Basis Set Model Chemistry. II. Open-Shell Systems and the Total Energies of the First-Row Atoms. Journal of Chemical Physics, 94, 6081-6090. http://dx.doi.org/10.1063/1.460447
Petersson, G.A., Bennett, A., Tensfeldt, T.G., Allaham, M.A., Shirley, W.A. and Mantzaris, J. (1988) A Complete Basis Set Model Chemistry. I. The Total Energies of Closed-Shell Atoms and Hydrides of the First-Row Elements. Journal of Chemical Physics, 89, 2193-2218. http://dx.doi.org/10.1063/1.455064
Urey, H.C. (1947) The Thermodynamic Properties of Isotopic Substances. Journal of the Chemical Society, 562-581. http://dx.doi.org/10.1039/jr9470000562
Bigeleisen, J. and Mayer, M.G. (1947) Calculation of Equilibrium Constants for Isotopic Exchange Reactions. Journal of Chemical Physics, 15, 261-267. http://dx.doi.org/10.1063/1.1746492
Jarosch, D. and Heger, G. (1986) Neutron Diffraction Refinement of the Crystal-Structure of Aragonite. Tschermaks mineralogische und petrographische Mitteilungen, 35, 127-131. http://dx.doi.org/10.1007/BF01140844
Maslen, E.N., Streltsov, V.A. and Streltsova, N.R. (1993) X-Ray Study of the Electron-Density in Calcite, CaCo3. Acta Crystallographica Section B-Structural Science, 49, 636-641. http://dx.doi.org/10.1107/S0108768193002575
Steinfink, H. and Sans, F.J. (1959) Refinement of the Crystal Structure of Dolomite. American Mineralogist, 44, 679-682.
Yuan, J. (2014) Reduced Partition Function Ratio in the Frequency Complex Plane: A Mathematical Approach. Open Journal of Geology, 4, 654-664. http://dx.doi.org/10.4236/ojg.2014.412049
Yuan, J. and Liu, Y. (2012) Quantum-Mechanical Equilibrium Isotopic Fractionation Correction to Radiocarbon Dating: A Theory Study. Journal of Radioanalytical and Nuclear Chemistry, 292, 335-338. http://dx.doi.org/10.1007/s10967-011-1563-3
Grauel, A.L., Schmid, T.W., Hu, B., Bergami, C., Capotondi, L., Zhou, L.P., et al. (2013) Calibration and Application of the “Clumped Isotope” Thermometer to Foraminifera for High-Resolution Climate Reconstructions. Geochimica et Cosmochimica Acta, 108, 125-140. http://dx.doi.org/10.1016/j.gca.2012.12.049
McCrea, J.M. (1950) On the Isotopic Chemistry of Carbonates and a Paleotemperature Scale. Journal of Chemical Physics, 18, 849-857. http://dx.doi.org/10.1063/1.1747785
Swart, P.K., Burns, S.J. and Leder, J.J. (1991) Fractionation of the Stable Isotopes of Oxygen and Carbon in Carbon-Dioxide during the Reaction of Calcite with Phosphoric-Acid as a Function of Temperature and Technique. Chemical Geology, 86, 89-96.
Cao, X. and Liu, Y. (2012) Theoretical Estimation of the Equilibrium Distribution of Clumped Isotopes in Nature. Geochimica et Cosmochimica Acta, 77, 292-303. http://dx.doi.org/10.1016/j.gca.2011.11.021
Wang, J., Qian, Z., Qian, W., Zhuang, Y., He, Y. and Pan, C. (1999) Probability Statistics (Engineering Mathematics). Tongji University, Shanghai, 240-247. (In Chinese)
Cui, L.L. and Wang, X. (2014) Determination of Clumped Isotopes in Carbonate Using Isotope Ratio Mass Spectrometer: Effects of Extraction Potential and Long-Term Stability. International Journal of Mass Spectrometry, 372, 46-50. http://dx.doi.org/10.1016/j.ijms.2014.08.006