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An application of the point-dipole model to the problem of optical anomalies in grandite garnets

Published online by Cambridge University Press:  05 July 2018

A. G. Shtukenberg ,
D. Yu. Popov  and
Yu. O. Punin
A. G. Shtukenberg*
Affiliation:
Crystallography Department, St. Petersburg State University, Russia
D. Yu. Popov
Affiliation:
Institute of Chemistry FEBRAS, Vladivostok, Russia
Yu. O. Punin
Affiliation:
Crystallography Department, St. Petersburg State University, Russia
*
*E-mail: sasha@as3607.spb.edu
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Abstract

The origin of anomalous birefringence in grossular-andradite (grandite) garnets is considered. Using the point-dipole model we have calculated the anomalous optical indicatrix for four crystals (three from the paper by Takéuchi et al. (1982) and one studied previously by the present authors). The calculated indicatrix is in good agreement with the observed one. This suggests that the origin of anomalous birefringence in grandite garnets is due to Al/Fe ordering. Interrelations between the observed optical indicatrix, the structure of the growing face, the site occupancy in the crystal structure and the calculated optical indicatrix suggest a growth origin of Fe/Al ordering in grandite garnets and confirm the growth dissymmetrization hypothesis.

Keywords

point-dipole modeloptical anomalygrandite garnets
Type
Research Article
Information
Mineralogical Magazine , Volume 66 , Issue 2 , April 2002 , pp. 275 - 286
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2002

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References

Abbott, R.N. Jr., (1993) Calculation of the orientation of the optical indicatrix in monoclinic and triclinic crystals: The point- dipole model. American Mineralogist, 78, 952–956.Google Scholar
Abbott, R.N. Jr., (1994) Electronic polarizability of oxygen and various cations in selected triclinic minerals : point- dipole theory. The Canadian Mineralogist, 32, 909–918.Google Scholar
Abbott, R.N. Jr., (1996) Optical properties of C2/c pyroxenes: a point- dipole explanation. The Canadian Mineralogist, 34, 595–603.Google Scholar
Akizuki, M. (1984) Origin of optical variation in grossular-andradite garnet. American Mineralogist, 69, 328–338.Google Scholar
Akizuki, M. and Sunugawa, I. (1978) Study of the sector structure in adularia by means of optical microscopy, infra- red absorption, and electron microscopy. Mineralogical Magazine, 42, 453–462.CrossRefGoogle Scholar
Allen, F.M. and Buseck, P.R. (1988) XRD, FTIR and TEM studies of optically anisotropic grossular garnets. American Mineralogist, 73, 568–584.Google Scholar
Batsanov, S.S. (1976) Structural Refractometry. Visshaya shkola, Moscow (in Russian).Google Scholar
Blanc, Y. and Maisonneuve, J. (1973) Sur la biréffingence des grenats calciques. Bulletin de la Societé Francaise de Mineralogie et Cristalographie, 96, 320–321.Google Scholar
Bragg, W.L. (1924) The refractive indices of calcite and aragonite. Proceedings of the Royal Society, London, Series A, 105, 370–386.Google Scholar
Brauns, R. (1891) Die Optischen Anomalien der Kristalle. Preisschr. Jablonowski Gesselshaft, Leipzig, Germany, 370 p.Google Scholar
Bulka, G.R., Vinokurov, V.M., Nizamutdinow, N.M. and Hasanova, N.M. (1980) Dissymmetrization of crystals: theory and experiment. Physics and Chemistry of Minerals, 6, 283–293.CrossRefGoogle Scholar
Chernov, A.A. (1984) Modern Crystallography III. Crystal Growth. Springer, Berlin, 518 p.CrossRefGoogle Scholar
Fleischer, M., Wilcox, R.E. and Matzko, J.J. (1984) Microscopic Determination of the Non-opaque Minerals. United States Government printing office, Washington D.C., 648 pp.Google Scholar
Griffen, D.T., Hatch, D.M., Phillips, W.R. and Kulaksiz, S. (1992) Crystal chemistry and symmetry of birefrigent tetragonal pyralspite 57-grandite25 garnets. American Mineralogist, 77, 399–406.Google Scholar
Kingma, K.J. and Downs, J.W. (1989) Crystal-structure of a birefringent andradite. American Mineralogist, 74, 1307–1316.Google Scholar
Lager, G.A., Armbruster, Th. and Pohl, D. (1987) Prediction of refractive indices in minerals from crystallographic data: applications and limitations of the point-dipole model. Physics and Chemistry of Minerals, 14, 177–180.CrossRefGoogle Scholar
Lasaga, A.C. and Cygan, R.T. (1982) Electronic polarizabilities of silicate minerals. American Mineralogist, 67, 328–334.Google Scholar
Lessing, P. and Standish, R.P. (1973) Zoned garnet from Crested Butte, Colorado. American Mineralogist, 58, 840–842.Google Scholar
McAloon, B.P. and Hofmeister, A.M. (1995) Singlecrystal IR spectroscopy of grossular- andradite garnets. American Mineralogist, 80, 1145–1156.CrossRefGoogle Scholar
Novak, G.A. and Gibbs, G.V. (1971) The crystal chemistry of the silicat e garnets. American Mineralogist, 56, 791–825.Google Scholar
Pohl, D. (1978) Electronic polarizabilities of ions in doubly refracting crystals. Acta Crystallographica, A34, 574–578.CrossRefGoogle Scholar
Rossman, G.R. and Aines, R.D. (1986) Birefrigent garnet from Asbestos, Quebec, Canada. American Mineralogist, 71, 779–780.Google Scholar
Rozhdestvenskaya, I.V., Frank-Kamenetskaya, O.V., Kovalev, O.G., Bannova, I.I. and Punin, Yu.O. (1999) Crystal structure of the birefringent garnets of grossular- andradite series (grandites). Pp. 112–113 in: XIV international meeting on the X-ray diffraction study of minerals, St. Petersburg. Abstracts (in Russian).Google Scholar
Shtukenberg, A.G. and Punin, Yu.O. (1996) Optical anomalies in crystals. Zapiski Vserossiisk ogo Mineralogicheskogo Obshchestva, 125, 104–120 (in Russian).Google Scholar
Shtukenberg, A.G., Punin, Yu.O. and Soloviev, V.N. (2000) Effect of growth conditions on the birefringence of mixed crystals revealed in alum solid solutions. Mineralogical Magazine, 64, 837–845.CrossRefGoogle Scholar
Shtukenberg, A.G., Punin, Yu.O., Frank-Kamenetskaya, O.V., Kovalev, O.G. and Sokolov, P.B. (2001) On the origin of anomalous birefringence in granditegarnets. Mineralogical Magazine, 65, 463–477.CrossRefGoogle Scholar
Shubnikov, A.V. (1975) Selected Papers on Crystallography. Nauka, Moscow (in Russian).Google Scholar
Takéuchi, Y., Haga, N., Umizu, S. and Sato, G. (1982) The derivative structure of silicate garnets in grandite. Zeitschrift für Kristallographie, 158, 53–99.CrossRefGoogle Scholar
Tanaka, T., Akizuki, M. and Kudoh, Y. (2002) Optical properties and crystal structure of triclinic growth sectors in vesuvianite. Mineralogical Magazine, 66, 261–274.CrossRefGoogle Scholar
Tsinober, L.I. and Samoilovich, M.N. (1975) Distribution of structure defects and anomalous optical symmetry in quartz crystals. Pp. 207–218 in: Problems of Modern Crystallography (Wainshtein, B.K. and Chernov, A.A., editors). Nauka, Moscow.Google Scholar
Tsinober, L.I., Samoilovich, M.N., Demina, T.V. and Bobr-Sergeev, A.A. (1977) The influence of symmetry of the faces on the structural ordering of aluminium in cordiereite crystals. Soviet Physica Crystallographica, 22, 354–358.Google Scholar