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Coherent transition between nonhydrostatically stressed phases with different elastic properties

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Abstract

The Clausius-Clapeyron equation has been derived for the coherent transition between phases with different elastic moduli. Expressions for the phase elastic moduli have been obtained for one-dimensional polymorphism, i.e., when phase structures differ in atomic layer stacking. The results are applied to the sphalerite-wurtzite transition.

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References

  • Bragg, L., Claringbull, G.F.: Crystal structures of minerals. London: G. Bell and sons Ltd 1965

    Google Scholar 

  • Coe, R.S., Paterson, M.S.: The α–β inversion in quartz: a coherent phase transition under non hydrostatic stress. J. Geophys. Res. 74, 4921–4948 (1969)

    Google Scholar 

  • Geilikman, M.B.: Elastic properties of polytypes. Phys. Status Solidi B: 91, 725–733 (1979)

    Google Scholar 

  • Kröner, E.: Kontinuumstheorie der Versetzungen und Eigenspannungen. Berlin, Heidelberg, New York: Springer 1958

    Google Scholar 

  • Landau, L.D., Lifshits, E.M.: Theory of elasticity (in Russian). Moscow: Nauka 1965

    Google Scholar 

  • Landolt-Börnstein: Zahlenwerte und Funktionen aus Physik, Chemie, Geophysik, Astronomie, Technik. 4 Teil. Berlin, Heidelberg, New York: Springer 1961

    Google Scholar 

  • Lifshits, I.M., Rozentsveig, L.N.: On theory of elastic properties of polycrystals (in Russian). Zh. Eksp. Teor. Fiz. 16, 967–978 (1946)

    Google Scholar 

  • Martin, R.M.: Elastic properties of ZnS-structures semiconductors. Phys. Rev. B1, 4005–4011 (1970)

    Google Scholar 

  • Nye, J.F.: Physical properties of crystals. Oxford: Clarendon Press, 1957

    Google Scholar 

  • Ostapenko, T.G.: Thermodynamics of nonhydrostatic systems and its application to the theory of metamorphism (in Russian). Kiev: Naukova Dumka 1977

    Google Scholar 

  • Paterson, M.S.: Nonhydrostatic thermodynamics and its geologic application. Rev. Geophys. Space Phys. 73, 355–389 (1973)

    Google Scholar 

  • Robin, P.-Y.F.: Thermodynamics equilibrium across a coherent interface in stressed crystal. Am. Mineral. 59, 1286–1299 (1974)

    Google Scholar 

  • Roitburd, A.L.: Theory of heterophase structures at phase transformations in solid state (in Russian). Usp. Fiz. Nauk 113, 69–104 (1974)

    Google Scholar 

  • Sternberg, A.A.: Temperature atomic approach and polytypism. In:Protsessy realnogo kristalloobrazovaniya (in Russian). Moscow: Nauka 1977

    Google Scholar 

  • Verma, A.R., Krishna, P.: Polymorphism and polytypism in crystals. New York: John-Wiley 1966

    Google Scholar 

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Geilikman, M.B. Coherent transition between nonhydrostatically stressed phases with different elastic properties. Phys Chem Minerals 6, 1–7 (1980). https://doi.org/10.1007/BF00308388

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