Abstract
A phenomenological theory (suggested by one of the authors of this study) in which the change caused by a phase transition in the fully symmetric part of the probability density of the charge distribution is taken into account without involving perturbation theory is applied to the description of the phase transition in TeO2., The fourth-order rigidity constants in the basal plane of a tetragonal crystal at p = 1 bar and T = 293 K are determined by comparing theory and experiment. Within the accuracy of the experiment, the pressure dependences of the lattice parameters and the soft-mode frequency predicted from the theory developed agree well with the known data.
Similar content being viewed by others
References
R. W. G. Wyckoff, Crystal Structures (Interscience, New York, 1963), Vol. 1.
B. R. Sahu and L. Kleinman, Phys. Rev. B: Condens. Matter 69, 193 101 (2004).
Hirotsugu Ogi, Masashi Fukunaga, and Masahiko Hirao, Phys. Rev. B: Condens. Matter 69, 024 104 (2004).
D. B. McWhan, R. J. Birgeneau, W. A. Bonner, H. Taub, and J. D. Axe, J. Phys. C.: Solid State Phys. 8, L81 (1975).
P. S. Peercy, I. J. Fritz, and G. A. Samara, J. Phys. Chem. Solids 36, 1105 (1975).
Hiromoto Uwe and Hiroshi Tokumoto, Phys. Rev. B: Condens. Matter 19(7), 3700 (1979).
E. F. Skelton, J. L. Feldman, C. Y. Liu, and I. L. Spain, Phys. Rev. B: Solid State 13(36), 2605 (1976).
I. J. Fritz and P. S. Peercy, Solid State Commun. 16, 1197 (1975).
P. S. Peercy and I. J. Fritz, Phys. Rev. Lett. 32(9), 466 (1974).
O. V. Kovalev, Irreducible Representations of Space Groups (Naukova Dumka, Kiev, 1961; Gordon and Breach, New York, 1965).
G. Ya. Lyubarskii, The Application of Group Theory in Physics (Gos. Izd. Fiz.-Mat. Lit., Moscow, 1958; Pergamon, Oxford, 1960).
P. Toledano, M. M. Fejer, and B. A. Auld, Phys. Rev. B: Condens. Matter 27(9), 5717 (1983).
Yu. I. Sirotin and M. P. Shaskol’skaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1975; Mir, Moscow, 1982).
P. W. Anderson and E. J. Blount, Phys. Rev. Lett. 14(7), 217 (1965).
A. V. Vinogradov, V. A. Lomonov, Yu. A. Pershin, and N. L. Sizova, Kristallografiya 47(6), 1105 (2002) [Crystallogr. Rep. 47 (6), 1036 (2002)].
A. M. Antonenko, M. D. Volnyanskii, and A. Yu. Kudzin, Kristallografiya 24(5), 1071 (1979) [Sov. Phys. Crystallogr. 24 (5), 613 (1979)].
K. Brugger, J. Appl. Phys. 36(3), 759 (1965).
G. Arilt and H. Schweppe, Solid State Commun. 6, 783 (1968).
H. Ledbetter, R. B. Leisure, and H. Ogi, J. Appl. Phys. 96(11), 6201 (2004).
N. Uchida and Y. Ohmachi, J. Appl. Phys. 40(12), 4692 (1969).
Y. Ohmachi and N. Uchida, J. Appl. Phys. 41(6), 2307 (1970).
R. V. Gopala and R. Venkatesh, J. Phys. Chem. Solids 64, 897 (2003).
R. N. Thurston and K. Brugger, Phys. Rev. A 133(6), 1604 (1964); J. Appl. Phys. 36 (3), 768 (1965).
T. G. Worlton and R. A. Beyerlein, Phys. Rev. B: Solid State 12(9), 1899 (1975).
K. C. Toledano and P. Toledano, The Landau Theory of Phase Transitions (World Sci., Singapore, 1986).
A. Yu. Gufan, Kristallografiya 49(3), 515 (2004) [Crystallogr. Rep. 49 (3), 450 (2004)].
A. Yu. Gufan and M. B. Stryukov, Izv. Akad. Nauk, Ser. Fiz. 66(6), 791 (2002).
A. Yu. Gufan, Izv. Akad. Nauk, Ser. Fiz. 68(5), 648 (2004).
A. Yu. Gufan, Izv. Akad. Nauk, Ser. Fiz. 68(11), 1652 (2004).
A. Yu. Gufan, Structural Phase Transitions (Nauka, Moscow, 1982) [in Russian].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics Nauka, Moscow, 1964; Pergamon, Oxford, 1969).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Pergamon, New York, 1986; Nauka, Moscow, 1987).
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.Yu. Gufan, Yu.M. Gufan, Z. Jiao, X.-F. Xu, 2006, published in Fizika Tverdogo Tela, 2006, Vol. 48, No. 2, pp. 328–333.
Rights and permissions
About this article
Cite this article
Gufan, A.Y., Gufan, Y.M., Jiao, Z. et al. Theory of the structure and properties of α-paratellurite (TeO2). Phys. Solid State 48, 348–353 (2006). https://doi.org/10.1134/S1063783406020260
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/S1063783406020260