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Structural discontinuities in plagioclase and constraints on mixing properties of the low series: a computational study

Published online by Cambridge University Press:  05 July 2018

V. L. Vinograd ,
A. Putnis  and
H. Kroll
V. L. Vinograd*
Affiliation:
Institute of Mineralogy, Münster University, D-48149, Münster, Germany
A. Putnis
Affiliation:
Institute of Mineralogy, Münster University, D-48149, Münster, Germany
H. Kroll
Affiliation:
Institute of Mineralogy, Münster University, D-48149, Münster, Germany
*
*E-mail: vinogra@uni-muenster.de
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Abstract

Subsolidus phase relations in the plagioclase system are investigated using an Ising-type model. The model treats ordering of Al,Si and Na,Ca cations in three dimensions using a version of the cluster variation method. The interactions within the T (Al,Si) and M (Na,Ca) sublattices and the interactions between the T and M sublattices are constrained by the available experimental information on orderdisorder transitions in the system. The paper suggests a thermodynamic explanation for the existence of two distinct structural series (high and low) and gives constraints on the thermodynamics of low plagioclases.

Keywords

plagioclasesubsolidus phase relationsstructural seriesthermodynamics
Type
Research Article
Information
Mineralogical Magazine , Volume 65 , Issue 1 , February 2001 , pp. 1 - 31
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2001

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References

Atkinson, A.J. (1999) The role of strain in incommensurate plagioclase feldspars. PhD thesis. Cambridge Univ. UK.Google Scholar
Bambauer, H.U., Eberhard, E. and Viswanathan, K. (1967) The lattice constants and related parameters of ‘plagioclases (low)’. Schweiz. Mineral. Petrogr. Mitt., 47, 351–64.Google Scholar
Carpenter, M.A. (1986) Experimental delineation of the ‘e transformations in intermediate plagioclase feldspars. Phys. Chem. Miner., 13, 119–39.CrossRefGoogle Scholar
Carpenter, M.A. (1992) Equilibrium thermodynamics of Al/Si ordering in anorthite. Phys. Chem. Miner., 19, 1–24.CrossRefGoogle Scholar
Carpenter, M.A. (1994) Subsolidus phase relations of the plagioclase feldspar solid solution. Pp. 221–69 in: Feldspars and Their Reactions (Parsons, I., editor). NATO ASI Series, Kluwer, The Netherlands.CrossRefGoogle Scholar
Carpenter, M.A. and Ferry, J.M. (1984) Constraints on the thermodynamic mixing properties of plagioclase feldspars. Contrib. Mineral. Petrol., 87, 138–48.CrossRefGoogle Scholar
Carpenter, M.A. and McConnell, J.D.C. (1984) Experimental delineation of the C /I transformation in intermediate plagioclase feldspars. Amer. Mineral., 69, 112–21.Google Scholar
Carpenter, M.A., McConnell, J.D.C. and Navrotsky, A. (1985) Enthalpies of ordering in the plagioclase feldspar solid solution. Geochim. Cosmochim. Acta, 49, 947–66.CrossRefGoogle Scholar
de Fontaine, D. (1994) Cluster approach to order disorder transformations in alloys. Solid State Physics, 47, 33–176.CrossRefGoogle Scholar
Doman, R.C., Cinnamon, C.G. and Bailey, S.W. (1965) Structural discontinuities in the plagioclase feldspar series. Amer. Mineral., 50, 724–40.Google Scholar
Dove, M.T. (1993) Introduction to Lattice Dynamics. Cambridge University Press, UK.CrossRefGoogle Scholar
Dove, M.T., Thayaparam, S., Heine, V. and Hammonds, K.D. (1996) The phenomenon of low Al-Si ordering temperatures in aluminosilicate framework structures. Amer. Mineral., 81, 349–62.CrossRefGoogle Scholar
Evjen, H.M. (1932) On the stability of certain heteropolar crystals. Phys. Rev., 39, 675–87.CrossRefGoogle Scholar
Gale, J.D. (1997) GULP – a computer program for the symmetry adapted simulation of solids. J. Chem. Soc.: Faraday Trans., 93, 629–37.Google Scholar
Goldsmith, J.R. (1982) Plagioclase stability at elevated temperatures and water pressures. Amer. Mineral., 67, 653–75.Google Scholar
Goldsmith, J.R. and Jenkins, D.M. (1985) The high-low albite relations revealed by reversal of degree of order at high pressures. Amer. Mineral., 70, 911–23.Google Scholar
Herrero, C.P., Sanz, J. and Serratosa, J.M. (1986) The electrostatic energy of micas as a function of Si,Al tetrahedral ordering. J. Phys. C: Solid State Phys., 19, 4169–81.CrossRefGoogle Scholar
Inden, G. and Pitsch, W. (1991) Atomic ordering. Pp. 499–549 in. Materials Science and Technology (Cahn, R.W., Haasen, P. and Kramer, E.J., editors). Vol. 5. VCH, Weinheim, Germany.Google Scholar
Kikuchi, R.A. (1951) Theory of cooperative phenomena. Phys. Rev., 81, 988–1003.CrossRefGoogle Scholar
Kikuchi, R.A. (1994) CVM entropy algebra. Prog. Theor. Phys. Suppl., 115, 1–26.CrossRefGoogle Scholar
Kikuchi, R.A. (2000) The cluster variation method in the 21st century. TMS Hume-Rothery Symposium, October 2000, (in press).Google Scholar
Kotel'nikov, A.R., Bychkov, A.M. and Chernavina, N.I. (1981) The distribution of calcium between plagioclase and a water-salt fluid at 700°C and Pfl é 1000 kg/cm2 . Geochem. Int., 18, 61–75.Google Scholar
Kroll, H. and Ribbe, P.H. (1980) Determinative diagrams for Al,Si order in plagioclase. Amer. Mineral., 65, 449–57.Google Scholar
Kroll, H. and Bambauer, H.-U. (1981) Diffusive and displacive transformation in plagioclase and ternary feldspar series. Amer. Mineral., 66, 763–9.Google Scholar
Myers, E., Heine, V. and Dove, M.T. (1998) Some consequences of Al/Al avoidance in the ordering of Al/Si tetrahedral framework structures. Phys. Chem. Miner., 25, 457–64.CrossRefGoogle Scholar
Orville, P.M. (1972) Plagioclase cation exchange equilibria with aqueous chloride solution: results at 700°C and 2000 bars in the presence of quartz. Amer. J. Sci., 272, 234–72.CrossRefGoogle Scholar
Redfern, S.A.T. and Salje, E. (1987) Thermodynamics of plagioclase II: temperature evolution of the spontaneous strain at the phase transition in anorthite. Phys. Chem. Miner., 14, 189–95.CrossRefGoogle Scholar
Ribbe, P.H. (1984) Average structures of alkali and plagioclase feldspars: systematics and applications Pp. 1–54 in: Feldspars and Feldspathoids (Brown, W.L., editor). (NATO ASI Series C 137). Reidel, Dordrecht, The Netherlands.Google Scholar
Ross, C.R. II, (1991) Ising model and geological applications. Pp. 51–90 in. Diffusion, Atomic Ordering and Mass Transport (Ganguly, J., editor). Advances in Physical Geochemistry, 8, Springer-Verlag, New York.CrossRefGoogle Scholar
Salje, E.K.H., Kuscholke, B., Wruck, B. and Kroll, H. (1985) Thermodynamics of sodium feldspar II: experimental results and numerical calculations. Phys. Chem. Miner., 12, 99–107.CrossRefGoogle Scholar
Schliestedt, M. and Johannes, W. (1990) Cation exchange equilibria between plagioclase and aqueous chloride solution at 600 to 700°C and 2 to 5 kbar. Eur. J. Mineral., 2, 283–95.CrossRefGoogle Scholar
Slimming, E.H. (1976) An electron diffraction study of some intermediate plagioclases. Amer. Mineral., 61, 54–9.Google Scholar
Smith, J.V. (1984) Phase relations of plagioclase feldspars. Pp. 55–94 in: Feldspars and Feldspathoids (Brown, w.l., editor). (NATO ASI Series C 137). Reidel, Dordrecht, The Netherlands.CrossRefGoogle Scholar
Smith, J.V. and Brown, W.L. (1988) Feldspar Minerals. 1. Crystal Structures, Physical, Chemical and Microtextural Properties. Springer, Berlin, Heidelberg, New York.Google Scholar
Vinograd, V.L. and Putnis, A. (1999) The description of Al,Si ordering in aluminosilicates using the cluster variation method. Amer. Mineral., 84, 311–24.CrossRefGoogle Scholar
Vinograd, V.L. and Putnis, A. (2000) A two-dimensional spin model of Al/Si order in feldspars: Visualization of short-range and long-range ordering. Eur. J. Mineral. (in press).CrossRefGoogle Scholar
Vinograd, V.L., Saxena, S.K. and Putnis, A. (1997) Calculation of the probability distribution of basic clusters involved in cluster variation approximations to the Ising model. Phys. Rev. B, 56, 11493–502.CrossRefGoogle Scholar
Vinograd, V.L., Perchuk, L.L. and Kotel'nikov, A.R. (1996) Statistical thermodynamic model for hightemperature plagioclase solid solution. Petrology, 4, 535–49.Google Scholar
Vinograd, V.L., Becker, U. and Putnis, A. (2000) Maximization of cluster entropy via an irreversible algorithm: Application to the cluster variation method. Pp. 249–60 in: Properties of Complex Inorganic Solids, Volume II (Meike, A., Gonis, A., Turchi, P.E.A. and Rajan, K., editors). Kluwer Academic/Plenum Publishers, Dordrecht, The Netherlands.CrossRefGoogle Scholar
Waterwiese, T., Chatterjee, N.D., Dierdorf, I., Göttlicher, J. and Kroll, H. (1995) Experimental and thermodynamic study of heterogeneous and homogeneous equilibria in the system NaAlSiO4-SiO2 . Contrib. Mineral. Petrol., 121, 61–73.CrossRefGoogle Scholar
Wenk, H.-R. (1979) An albite-anorthite assemblage in low-grade amphibolite facies rocks. Amer. Mineral., 64, 1294–9.Google Scholar
Winter, J.K., Okamura, F.P. and Ghose, S. (1979) A high-temperature structural study of high albite, monalbite and the analbite-monalbite phase transition. Amer. Mineral., 64, 409–23.Google Scholar