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Toward a Thermodynamic Understanding of Feldspars: Order Parameters of Na-Feldspar and the Iī–Pī Phase Transition in Anorthite

  • E. Salje
Part of the Advances in Physical Geochemistry book series (PHYSICAL GEOCHE, volume 7)

Abstract

Considerable progress has been made in recent years on the experimental investigation and theoretical understanding of the thermodynamic behavior of feldspars. Although a comprehensive model for all structural phase transitions in the feldspar system is still lacking, much is known about the enthalpies of ordering of plagioclases (e.g., Carpenter et al. 1985; Newton et al. 1980) and the excess specific heat of displacive phase transitions in alkali feldspar (Salje et al. 1985a). It has also been shown that most results of earlier investigations of lattice parameters (e.g., Grundy and Brown, 1969; see Smith, 1974, for review) and domain patterns in feldspars (Brown and Parsons, 1983; Fitzgerald and McLaren, 1982) can now be understood within the framework of Landau theory (Salje, 1985; Salje et al. 1985b).

Keywords

Structural Phase Transition Landau Theory Excess Free Energy Symmetry Reduction Spontaneous Strain 
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References

  1. Adlhart, W., Frey, F., and Jagodzinski, H. (1980) X-ray and neutron investigations of the Pl -Il transition in pure anorthite, Acta Crytallogr. Sect. A 36, 450–460.CrossRefGoogle Scholar
  2. Anisimov, M.A., Gorodetskii, E.E., and Zaprudskii, V.K. (1981) Phase transitions with coupled order parameter, Soy. Phys. Usp. 24, 57–75.CrossRefGoogle Scholar
  3. Bismayer, U., Salje, E., Glazer, A.M., and Cosier, J. (1986) Effect of strain-induced order parameter coupling on the ferroelastic behaviour of lead phosphate-arsenate. Phase Trans. 6, 126–151.Google Scholar
  4. Brown, W.L., and Parsons, I. (1983) Nucleation on perthite-perthite boundaries and exsolution mechanisms in alkali feldspars, Phys. Chem. Minerals 10, 55–61.CrossRefGoogle Scholar
  5. Bruce, A.D., and Cowley, R.A. (1981) Structural Phase Transitions. Taylor & Francis, London.Google Scholar
  6. Carpenter, M.A., McConnell, J.D.C., and Navrotsky, A. (1985) Enthalpies of ordering in theGoogle Scholar
  7. plagioclase feldspar solid solution, Geochim. Cosmochim. Acta 49 947–966.Google Scholar
  8. Cowley, R.A. (1976) Acoustic phonon instabilities and structural phase transitions, Phys. Rev. B 13, 4877–4885.CrossRefGoogle Scholar
  9. Devarajan, V., and Salje, E. (1984) Phase transition in K2Cd2(SO4)3: Investigation of the nonlinear dependence of spontaneous strain and morphic birefringence on order parameters as determined from excess measurements. J. Phys. C. 17, 5525–5537.CrossRefGoogle Scholar
  10. Fitzgerald, J.D., and McLaren, A.C. (1982) The microstructure of microcline from some granitic rocks and pegmatities, Contrib. Mineral. Petrol. 80, 219–229.CrossRefGoogle Scholar
  11. Grundy, H.D., and Brown, W.L. (1969) A high temperature X-ray study of the equilibrium forms of albite, Mineral. Mag. 37, 156–172.CrossRefGoogle Scholar
  12. Gufan, Y.M., and Larin, E.S. (1980) Theory of phase transitions described by two order parameters, Soy. Phys. Solid State 22, 270–275.Google Scholar
  13. Imry, Y. (1975) On the statistical mechanics of coupled order parameters, J. Phys. C 8, 567–577.CrossRefGoogle Scholar
  14. Kroll, H., Bambauer, H.U., and Schirmer, U. (1980) The high albite-monalbite and analbite-monalbite transitions, Am. Mineral. 65, 1192–1211.Google Scholar
  15. Landau, L.D., and Lifshitz, E.M. (1958) Statistical Physics. Addison-Wesley, Reading, Mass.Google Scholar
  16. Luty, T., and Munn R.W. (1982) Elastic response for coupled external and internal strains, J. Phys. C 15, 4459–4471.CrossRefGoogle Scholar
  17. McConnell, J.D.C. (1985) Symmetry aspects of order-disorder and the application of Landau theory, in Reviews in Mineralogy, vol. 14. Mineralogical Society of America, Washington, D.C.Google Scholar
  18. Newton, R.C., Charlu, T.V., and Kleppa, O.J. (1980) Thermochemistry of the high structural state plagioclases, Geochim. Cosmochim. Acta 44, 933–941.CrossRefGoogle Scholar
  19. Perez-Mato, J.M., Madariaga, G., and Tello, M.J. (1984) Superspace groups and Landau theory. A physical approach to superspace symmetry in incommensurate structures, Phys. Rev. B 30, 1534–1543.CrossRefGoogle Scholar
  20. Redfern, S.A.T., and Salje, E. (1987) Thermodynamics of plagioclases II: Temperature evolution of the spontaneous strain at the Il-Pl phase transition in anorthite, Phys. Chem. Minerals 14, 189–195.CrossRefGoogle Scholar
  21. Salje, E. (1985) Thermodynamics of sodium feldspar I: Order parameter treatment and strain induced coupling effects, Phys. Chem. Minerals 12, 93–98.CrossRefGoogle Scholar
  22. Salje, E. (1986) Raman spectroscopic investigation of the order parameter behaviour in hypersolvus alkali feldspar: Displacive phase transition and evidence for Na-K site ordering, Phys. Chem. Minerals 13, 340–346.CrossRefGoogle Scholar
  23. Salje, E. (1987) Thermodynamics of plagioclases I: Theory of the Il-PI phase transition in anorthite and Ca-rich plagioclases, Phys. Chem. Minerals, 14, 181–188CrossRefGoogle Scholar
  24. Salje, E., and Devarajan, V. (1985) Phase transitions in systems with strain-induced couplingGoogle Scholar
  25. between two order parameters, Phase Trans. 6 235–247.Google Scholar
  26. Salje, E., Kuscholke, B., Wruck, B., and Kroll, H. (1985a) Thermodynamics of sodium feldspar H: Experimental results and numerical calculations, Phys. Chem. Minerals 12, 99–107.CrossRefGoogle Scholar
  27. Salje, E., Kuscholke, B., and Wruck, B. (1985b) Domain wall formation in minerals I: Theory of twin boundary shapes in Na-feldspar, Phys. Chem Minerals 12, 132–140.CrossRefGoogle Scholar
  28. Salje, E., Bismayer, U., and Jansen, M. (1987) Temperature evolution of the ferroelastic order parameter of As2O5 as determined from optical birefringence. J. Phys. C 20, 3613–3620.Google Scholar
  29. Schlenker, J.L., Gibbs, G.V., and Boisen, M.B. (1978) Strain-tensor components expressed in terms of lattice parameters, Acta Crystallogr. Sect. A 34, 52–54.CrossRefGoogle Scholar
  30. Smith, J.V. (1974) Feldspar Minerals. Springer, New York.Google Scholar
  31. Toledano, J.C., and Toledano, P. (1980) Order parameter symmetries and free-energy expansions of purely ferroelastic transitions, Phys. Rev. B 21, 1139–1172.CrossRefGoogle Scholar
  32. Wruck, B. (1986) Kalorimetrische Untersuchung von Anorthit. Thesis, University of Hannover.Google Scholar

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© Springer-Verlag New York Inc. 1988

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  • E. Salje

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