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Thermodynamic properties of CaCO3 calcite and aragonite: A quasi-harmonic calculation

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Abstract

A quasi-harmonic model has been used to simulate the thermodynamic behaviour of the CaCO3 polymorphs, by equilibrating their crystal structures as a function of temperature so as to balance the sum of inner static and thermal pressures against the applied external pressure. The vibrational frequencies and elastic properties needed have been computed using interatomic potentials based on two-body Born-type functions, with O-C-O angular terms to account for covalency inside the CO3 molecular ion. A good agreement with experimental data is generally shown by simulated heat capacity and entropy, while the thermal expansion coefficient seems to be more difficult to reproduce. The results obtained for aragonite are less satisfactory than those of calcite, but they are improved by using a potential specifically optimized on properties of that phase itself.

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References

  • Anderson OL (1963) A simplified method for calculating the Debye temperature from elastic constants. J Phys Chem Solids 24:909–917

    Google Scholar 

  • Born M, Huang K (1954) Dynamical theory of crystal lattices. Clarendon Press, Oxford

    Google Scholar 

  • Carlson WD (1983) The polymorphs of CaCO3 and the aragonitecalcite transformation. In: Carbonates: Mineralogy and Chemistry, Rev Mineral vol. 11, Reeder RJ (ed), pp 191–225, Mineralogical Society of America, Washington

    Google Scholar 

  • Catti M (1986) Theoretical computation of physical properties of mantle minerals. In: Chemistry and Physics of Terrestrial Planets. Saxena SK (ed) Advances in Physical Geochemistry 6, p 224–250. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Chessin H, Hamilton WC, Post B (1965) Position and thermal parameters of oxygen atoms in calcite. Acta Crystallogr 18:689–693

    Google Scholar 

  • Dandekar DP, Ruoff AL (1968) Temperature dependence of the elastic constants of calcite between 160 and 300 K. J Appl Phys 39:6004–6009

    Google Scholar 

  • De Villiers JPR (1971) Crystal structures of aragonite, strontianite, and witherite. Am Mineral 56:758–767

    Google Scholar 

  • Dove MT, Winkler B, Leslie M, Harris MJ, Salje EKH (1992) A new interatomic potential model for calcite: applications to lattice dynamics studies, phase transitions, and isotope fractionation. Am Mineral 77:244–250

    Google Scholar 

  • Effenberger H, Mereiter K, Zeman J (1981) Crystal structure refinements of magnesite, calcite, rhodochrosite, siderite, smithsonite and dolomite, with discussion of some aspects of the stereochemistry of calcite-type carbonates. Z Kristallogr 156:233–243

    Google Scholar 

  • Filippini G, Gramaccioli CM, Simonetta M, Suffritti GB (1976) Lattice-dynamical applications to crystallographic problems: consideration of the Brillouin zone sampling. Acta Crystallogr A32:259–264

    Google Scholar 

  • Goldsmith JR (1983) Phase relations of rombohedral carbonates. In: Carbonates: Mineralogy and Chemistry. Rev Mineral 11:49–76. Reeder RJ (ed), Mineralogical Society America, Washington

    Google Scholar 

  • Jacobs GK, Kerrick DM, Krupka KM (1981) The high-temperature heat capacity of natural calcite (CaCO3). Phys Chem Minerals 7:55–59

    Google Scholar 

  • Kieffer SW (1979a) Thermodynamics and lattice vibrations of minerals I. Rev Geophys Space Phys 17:1–19

    Google Scholar 

  • Kieffer SW (1979b) Thermodynamics and lattice vibrations of minerals II. Rev Geophys Space Phys 17:20–34

    Google Scholar 

  • Kieffer SW (1979c) Thermodynamics and lattice vibrations of minerals III. Rev Geophys Space Phys 17:35–58

    Google Scholar 

  • Liu LG, Mernagh TP (1990) Phase transitions and Raman spectra of calcite at high pressures and room temperature. Am Mineral 75:801–806

    Google Scholar 

  • Parker SC, Price GD (1989) Computer modelling of phase transitions in minerals. Adv Solid State Chem 1:295–327

    Google Scholar 

  • Pavese A, Catti M, Price GD, Jackson RA (1992) Interatomic potentials for CaCO3 polymorphs (calcite and aragonite), fitted to elastic and vibrational data. Phys Chem Minerals 19:80–87

    Google Scholar 

  • Price GD, Parker SC, Leslie M (1987) The lattice dynamics and thermodynamics of the Mg2SiO4 polymorphs. Phys Chem Minerals 15:181–190

    Google Scholar 

  • Rao KVK, Naidu SVN, Murthy KS (1968) Precision lattice parameters and thermal expansion of calcite. J Phys Chem Solids 29:245–248

    Google Scholar 

  • Salje E, Viswanathan K (1976) The phase diagram calcite-aragonite as derived from the crystallographic properties. Contrib Mineral Petrol 55:55–67

    Google Scholar 

  • Speer JA (1983) Crystal chemistry and phase relations of orthorhombic carbonates. In: Carbonates: Mineralogy and Chemistry. Rev Mineral 11:145–189. Reeder RJ (ed), Mineralogical Soc America, Washington

    Google Scholar 

  • Stavely LAK, Linford RG (1969) The heat capacity and entropy of calcite and aragonite, and their interpretation. J Chem Thermodyn 1:1–11

    Google Scholar 

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Catti, M., Pavese, A. & Price, G.D. Thermodynamic properties of CaCO3 calcite and aragonite: A quasi-harmonic calculation. Phys Chem Minerals 19, 472–479 (1993). https://doi.org/10.1007/BF00203187

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  • DOI: https://doi.org/10.1007/BF00203187

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