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The roles of crystallographic orientation and crystal origin in ferrobielastic twinning of quartzunder uniaxial stress

Published online by Cambridge University Press:  15 October 2000

P. L. Guzzo*
Affiliation:
Universidade Federal de Pernambuco, Centro de Tecnologia e Geociências, Departamento de Engenharia Mecânica, Cidade Universitária, 50740-530 Recife PE, Brasil
J. J. Boy
Affiliation:
École Nationale Supérieure de Mécanique et des Microtechniques, Laboratoire de Chronométrie Électronique et Piézoélectricité, 26 chemin de l'Épitaphe, 25030 Besançon Cedex, France
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Abstract

Ferrobielastic twinning in quartz single crystals has been investigated in relation to crystallographic orientation and crystal origin. By means of uniaxial compressive stress experiments, complete volumetric transformation to the alternate Dauphiné twin state was performed in X- and AT-cut samples of natural and synthetic quartz. Either polarized light or synchrotron radiation X-ray topography was employed to observe the movement of twin boundaries. The dependence of the coercive stress and the preferential orientation of twin boundaries on the crystallographic orientation are explained in terms of the thermodynamic potential of the Gibbs free energy. In relation to natural crystals, the stress levels related to optical visualization and complete transformation to the alternate twin state were 50% and 30% lower for synthetic quartz. These results are qualitatively discussed by the pinning of Dauphiné twin boundaries at randomly distributed impurity-related point defects which were evaluated by infrared spectroscopy and ion coupled plasma spectrometry. The spontaneous irreversibility of ferrobielastic twinning on unloading is confirmed.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2000

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References

Zinserling, K., Schubnikov, A., Z. Kris. 85, 454 (1933).
Frondel, C., Am. Mineral. 30, 447 (1945).
R.A. Heising, Quartz crystals for electrical circuits (D. Van Nostrands Co. Inc., New York, 1946).
Wooster, W.A., Wooster, N., Rycroft, J.L., Thomas, L.A., Proc. Inst. Electr. Eng. 94, 927 (1947).
Aizu, K., Phys. Rev. B 2, 754 (1970). APS Link not valid for this citation CrossRef
Aizu, K., J. Phys. Soc. Jap. 32, 1287 (1972). CrossRef
Aizu, K., J. Phys. Soc. Jap. 34, 121 (1973). CrossRef
Anderson, T.L., Newnham, R.E., Cross, L.E., Proc. Annu. Symp. Freq. Control 31, 171 (1977).
Cline, T.W., Laughner, J.W., Newnham, R.E., Cross, L.E., Proc. Annu. Symp. Freq. Control 32, 43 (1978).
Bertagnolli, E., Kittinger, E., Tichý, J., J. Appl. Phys. 50, 6267 (1979). CrossRef
Laughner, J.W., Cline, T.W., Newnham, R.E., Cross, L.E., Phys. Chem. Minerals 4, 129 (1979). CrossRef
Markgraaff, J., Phys. Chem. Minerals 13, 102 (1986). CrossRef
P.L. Guzzo, R.J. Besson, G.D. Mansfeld, in Proceedings of the 10th European Frequency and Time Forum, Brighton, UK, 1996, edited by Institute of Electrical Engineers, p. 328.
Kusters, J.A., Kaitz, G.S., Proc. Annu. Symp. Freq. Control 39, 223 (1985).
Ward, R.W., Eernisse, E.P., Proc. Annu. Symp. Freq. Control 41, 344 (1987).
Eernisse, E.P., Ward, R.W., Proc. Annu. Symp. Freq. Control 45, 254 (1991).
Besson, R.J., Boy, J.J., Glotin, B., Jinzaki, Y., Sinha, B.K., Valdois, M., Trans, IEEE. Ultrasonics, Ferroelectr. Freq. Control 40, 584 (1993). CrossRef
Dolino, G., Phase Transitions 21, 59 (1990). CrossRef
Cahn, R.W., Adv. Phys. 3, 363 (1954). CrossRef
Klapper, H., Prog. Cryst. Growth Charact. 14, 367 (1987). CrossRef
Lang, A.R., Appl. Phys. Lett. 7, 168 (1965). CrossRef
C. Frondel, The System of Mineralogy, Volume 3 - Silica Minerals, 7th edn. (John Wiley and Sons Inc., New York, 1962).
J.F. Nye, Physical properties of crystals, 2nd edn. (Oxford University Press, Oxford, 1985).
Indenbom, V.L., Sov. Phys. Tech. Phys. 11, 79 (1956).
IRE Standard on piezoelectric crystals, Proc. Inst. Radio Electron. 37, 1378 (1949).
J. Miltat, in Characterization of Crystal Growth Defects by X-ray Methods, edited by B.K. Tanner, D.K. Baven (Plenum Press, New York, 1980).
Iwasaki, H., Iwasaki, F., Oliveira, V.A.R., Hummel, D.C.A., Pasquali, M.A., Guzzo, P.L., Watanabe, N., Suzuki, C.K., Jpn. J. Appl. Phys. 30, 1489 (1991). CrossRef
Kats, A., Philips Res. Rep. 17, 133 (1962).
Dodd, D.M., Fraser, D.B., J. Phys. Chem. Solids 26, 673 (1965). CrossRef
Aines, R.D., Rossman, G.R., J. Geophys. Res. 89, 4059 (1984). CrossRef
P.L. Guzzo, F. Iwasaki, H. Iwasaki, C.K. Suzuki, A.C.F. Arruda, Revista de Física Aplicada e Instrumentaç $\tilde{\rm a}$ o 8, 69 (1993).
Paterson, M.S., Bull. Minéral. 105, 20 (1982).
Bertagnolli, E., Kittinger, E., Swoboda, G., Tichý, J., J. Phys. D Appl. Phys. 14, 251 (1981). CrossRef
J. Markgraaff, C. Roering, in Proceedings of the International Congress of Applied Mineralogie, Pretoria, 1991, Vol. 1, p. 32.
Fousek, J., Janovec, V., J. Appl. Phys. 40, 135 (1969). CrossRef
Newnham, R.E., Cross, L.E., Mat. Res. Bull. 9, 1021 (1974). CrossRef
Walker, M.B., Phys. Rev. B 28, 6407 (1983). CrossRef
Van Landuyt, J., Van Tendeloo, G., Amelinckx, S., Walker, M.B., Phys. Rev. B 31, 2986 (1985). CrossRef
Yamamoto, N., Tsuda, K., Yagi, K., J. Phys. Soc. Jap. 57, 1352 (1988). CrossRef
J.W. Laughner, Ph.D. thesis, Pennsylvania State University, 1982.
Bahadur, H., J. Appl. Phys. 66, 4973 (1989). CrossRef
Guzzo, P.L., Iwasaki, F., Iwasaki, H., Phys. Chem. Minerals 24, 254 (1997). CrossRef
Brown, R.N., Kahan, A., J. Phys. Chem. Solids 36, 467 (1975). CrossRef
Lipson, H.G., Kahan, A., J. Appl. Phys. 58, 963 (1985). CrossRef
Tullis, J., Tullis, T., Am. Geophys. Union Monograph 16, 67 (1972).
Lederer, P., Jamet, J.P., Montabaux, G., Ferroelectrics 66, 25 (1986). CrossRef
Prelovsek, P., Phase Transitions 11, 203 (1988). CrossRef
K. Hamano, in Incommensurate Phases in Dielectrics 2, edited by R. Blinc, A.P. Levanyuk (Elsevier, Amsterdam, 1986).
Mogeon, F., Dolino, G., J. Phys. France 51, 1939 (1990). CrossRef