Abstract
The atomic displacements upon isomorphic substitutions in crystals of the langasite family have been analyzed. The thermal parameters are determined and the probability density function of atoms is analyzed. Local potential energy minima are found which can be occupied by atoms under external effects. The contributions of cations in all four independent crystallographic positions and anions in all three such positions to the piezoelectric properties are established. One specific structural feature is the constant (at isomorphic substitutions) or possible (under external effects) but always opposite displacements of two cations along symmetry axis 2. Large cations in eight-vertex polyhedra make the main contribution to the piezoelectric properties. The cations in the tetrahedra on symmetry axis 2 weaken these properties. The cations in the octahedra in the origin of coordinates and in the tetrahedra on symmetry axes 3 only slightly affect the piezoelectricity.
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References
N. V. Belov, Structure of Ionic Crystals and Metal Phases (Izd-vo AN SSSR, Moscow, 1947) [in Russian].
B. V. Mill, A. V. Butashin, A. M. Ellern, and A. A. Maier, Neorg. Mater. 17(7), 1848 (1981).
ICSD: Inorganic Crystal Structure Database (FIZ Karlsruhe, Germany).
B. V. Mill, Zh. Neorg. Khim. 55(10), 1706 (2010).
A. A. Kaminskii, S. E. Sarkisov, B. V. Mill, and G. G. Khodzhabagyan, Sov. Phys. Dokl. 27(1), 403 (1982).
O. A. Baturina, B. N. Grechushnikov, A. A. Kaminskii, et al., Sov. Phys. Crystallogr. 32(2), 236 (1987).
A. A. Kaminskii, B. V. Mill, and S. E. Sarkisov, Physics and Spectroscopy of Laser Crystals (Nauka, Moscow, 1986) [in Russian], p. 197.
I. A. Andreev, Zh. Tekh. Fiz. 76(6), 758 (2006).
B. V. Mill and Yu. V. Pisarevsky, Proc. 2000 IEEE/EIA Intern. Frequency Control Symp., Kansas City, Missouru, USA, p. 133.
M. Honal, R. Fachberg, T. Holzheu, et al., Proc. 2000 IEEE/EIA Intern. Frequency Control Symp., Kansas City, Missouru, USA, p. 133.
E. L. Belokoneva, M. A. Simonov, A. V. Butashin, et al., Sov. Phys. Dokl. 25(5), 954 (1980).
E. L. Belokoneva and N. V. Belov, Sov. Phys. Dokl. 26(6), 931 (1981).
E. L. Belokoneva and B. V. Mill, Crystallochemical Systematics of Minerals (Izd-vo MGU, Moscow, 1985) [in Russian], p. 140.
E. L. Belokoneva, S. Yu. Stefanovich, Yu. V. Pisarevsky, et al., Zh. Neorg. Khim. 45(11), 1786 (2000).
H. Takeda, K. Sugiyama, K. Inaba, et al., Jpn. J. Appl. Phys., Part 2 36, L919 (1997).
V. N. Molchanov, B. A. Maksimov, D. F. Kondakov, et al., JETP Lett. 74(4), 222 (2001).
B. A. Maksimov, V. N. Molchanov, B. V. Mill, et al., Crystallogr. Rep. 50(5), 751 (2005).
B. V. Mill, A. A. Klimenkova, B. A. Maksimov, et al., Crystallogr. Rep. 520(5), 785 (2007).
A. P. Dudka, B. V. Mill, and Yu. V. Pisarevsky, Crystallogr. Rep. 54(4), 558 (2009).
A. P. Dudka, Yu. V. Pisarevsky, V. I. Simonov, and B. V. Mill’, Crystallogr. Rep. 55(5), 748 (2010).
T. Iwataki, H. Oshato, K. Tanaka, et al., J. Eur. Ceram. Soc. 21, 1409 (2001).
N. Araki, H. Oshato, K. Kakimoto, et al., J. Eur. Ceram. Soc. 27, 4099 (2007).
H. Graafsma, J. Appl. Crystallogr. 25, 372 (1992).
S. V. Gorfman, O. Schmidt, U. Pietsch, et al., Z. Kristallogr. 222, 396 (2007).
S. V. Gorfman, V. G. Tsirelson, and U. Pietsch, Acta Crystallogr. A 61, 387 (2005).
S. V. Gorfman, V. G. Tsirelson, and A. Pucher, Acta Crystallogr. A 62, 1 (2006).
A. Katrusiak, Acta Crystallogr. A 64, 135 (2008).
O. Schmidt, S. V. Gorfman, L. Bohaty, et al., Acta Crystallogr. A 65, 267 (2009).
A. Dudka, J. Appl. Crystallogr. 43, 1440 (2010).
A. P. Dudka and B. V. Mill, Crystallogr. Rep. 56(3), 443 (2011).
A. P. Dudka, R. Chitra, R. R. Choudkhuri, et al., Crystallogr. Rep. 55(6), 1060 (2010).
A. P. Dudka and B. V. Mill’, Crystallogr. Rep. (in press).
A. Dudka, J. Appl. Crystallogr. 41, 83 (2008).
A. Dudka, J. Appl. Crystallogr. 40, 602 (2007).
A. P. Dudka and V. A. Strel’tsov, Sov. Phys. Crystallogr. 37(2), 269 (1992).
A. P. Dudka, M. Kh. Rabadanov, and A. A. Loshmanov, Sov. Phys. Crystallogr. 34(4), 490 (1989).
A. P. Dudka, Crystallogr. Rep. 50(6), 1068 (2005).
A. Dudka, J. Appl. Crystallogr. 42, 354 (2009).
A. Dudka, J. Appl. Crystallogr. 43, 27 (2010).
A. P. Dudka, Crystallogr. Rep. 47(1), 145 (2002).
P. J. Becker and P. Coppens, Acta Crystallogr. A 30, 129 (1974).
Y. Le Page and E. J. Gabe, J. Appl. Crystallogr. 11, 254 (1978).
W. C. Hamilton, Acta Crystallogr. 18, 502 (1965).
S. C. Abrahams and E. T. Keve, Acta Crystallogr. A 27, 157 (1971).
R. D. Shannon, Acta Crystallogr. A 32, 751 (1976).
Yu. I. Sirotin and M. P. Shaskol’skaya, Fundamentals of Crystallography (Nauka, Moscow, 1979) [in Russian].
J. Chen, Y. Zheng, H. Kong, and E. Shi, Appl. Phys. Lett. 89, 012901 (2006).
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Dedicated to the memory of N.V. Belov
Original Russian Text © A.P. Dudka, V.I. Simonov, 2011, published in Kristallografiya, 2011, Vol. 56, No. 6, pp. 1047–1053.
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Dudka, A.P., Simonov, V.I. Structural conditionality of the piezoelectric properties of langasite family crystals. Crystallogr. Rep. 56, 980–985 (2011). https://doi.org/10.1134/S1063774511060058
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DOI: https://doi.org/10.1134/S1063774511060058