Abstract
The Raman and Brillouin spectra in bismuth vanadate crystals near the ferroelectric phase-transition point are studied. The intensity maximum corresponding to the soft mode in light scattering spectra is found. This mode is responsible for the instability of the bismuth vanadate crystal lattice in the vicinity of the ferroelectric phase-transition point. Strong interaction of the soft optical mode with an acoustic mode of the corresponding symmetry is revealed by an analysis of the Raman and Brillouin spectra observed. The theory of light scattering by coupled lattice modes based on the model of two strongly coupled oscillators is developed. The introduction of an additional oscillator strongly interacting with the fundamental soft mode is shown to result in a temperature shift of the structural phase transition to higher temperatures. The results obtained confirm the possibility of changing the phase-transition temperature by modification of the vibrational spectrum through introduction of additional degrees of freedom or comminution of the macroscopic sample with formation of the ordered superdispersed structure (globular crystal). These results are general and can be subsequently used to increase the phase-transition temperature in ferroelastics, ferroelectrics, and superconductors.
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References
V. L. Ginzburg, Dokl. Akad. Nauk SSSR, 105, 240 (1955).
V. L. Ginzburg and A. P. Levanyuk, Zh. Éksp. Teor. Fiz., 39, 192 (1960).
V. L. Ginzburg, Usp. Fiz. Nauk, 77, 621 (1962).
W. Cochran, Adv. Phys., 9, 387 (1960).
A. S. Sonin and B. A. Strukov, Introduction to Ferroelectricity [in Russian], Vysshaya Shkola, Moscow (1970).
R. A. Cowley, Phys. Rev. B, 13, 4877 (1976).
S. Aubry and R. Pick, J. de Phys., 32, 657 (1971).
V. S. Gorelik, “Idealized models of crystal lattices and spectra of real crystals,” in: M. M. Sushchinsky (Ed.), Inelastic Light Scattering in Crystals, Proceedings of the Lebedev Physical Institute [in Russian], Nauka, Moscow (1987), Vol. 180, p. 87.
M. M. Sushchinsky, “Raman scattering on phase transitions in crystals,” in: M. M. Sushchinsky (Ed.), Raman Scattering and Lattice Dynamics, Proceedings of the Lebedev Physical Institute [in Russian], Nauka, Moscow (1982), Vol. 132, p. 3.
V. S. Gorelik, “Study of bound and continual vibrational states in dielectric crystals by the Raman scattering technique,” in: M. M. Sushchinsky (Ed.), Raman Scattering and Lattice Dynamics, Proceedings of the Lebedev Physical Institute [in Russian], Nauka, Moscow (1982), Vol. 132, p. 16.
V. L. Ginzburg, “Several remarks on ferroelectricity, soft modes, and related issues,” in: M. M. Sushchinsky (Ed.), Inelastic Light Scattering in Crystals, Proceedings of the Lebedev Physical Institute [in Russian], Nauka, Moscow (1987), Vol. 180, p. 3.
B. A. Strukov, Ferroelectricity [in Russian], Nauka, Moscow (1979).
B. A. Strukov and A. P. Levanyuk, Physical Fundamentals of the Ferroelectric Phenomena in Crystals [in Russian], Nauka, Moscow (1995).
E. M. Brody and H. Z. Cummins, Phys. Rev. Lett., 21, 1263 (1968).
E. M. Brody and H. Z. Cummins, Phys. Rev. Lett., 23, 1039 (1969).
B. A. Strukov, A. V. Davtyan, K. A. Minaeva, and A. A. Gornaev, Izv. Akad. Nauk SSSR, Ser. Fiz., 47, 611 (1983).
B. A. Strukov and K. A. Minaeva, Prib. Tekh. Éksp., No. 6, 157 (1986).
V. G. Martynov, K. S. Aleksandrov, and A. T. Anistratov, Fiz. Tverd. Tela, 15, 2922 (1973).
U. M. Madvaliev, Yu. M. Sandler, V. I. Serikov, and O. Yu. Serdobol'skaya, Fiz. Tverd. Tela, 19, 900 (1977).
L. P. Avakyants and D. F. Kiselev, “Changes in Elastooptic Constants of Uniaxial Ferroelectric Crystals with Second-Order Phase Transitions,” VINITI, No. 414–78 (1978).
E. F. Dudnik, V. V. Gene, S. V. Akimov, and S. A. Kreicherek, Fiz. Tverd. Tela, 16, 2723 (1974).
J. D. Bierlein and A. W. Sleight, Sol. State Commun., 16, 69 (1975).
K. Aizu, J. Phys. Soc. Jpn., 28, 706 (1970).
A. Pinczuk, G. Burns, and F. H. Dacol, Sol. State. Commun., 24, 163 (1977).
A. Pinczuk, B. Welber, and F. H. Dacol, Sol. State. Commun., 29, 515 (1979).
W. I. David, A. M. Glayzer, and A. W. Hewat, Phase Transition, 1, 155 (1979).
B. Gu, M. Copic, and H. Z. Cummins, Phys. Rev. B, 24, 4098 (1981).
M. Cho, T. Yagi, T. Fujii, et al., J. Phys. Soc. Jpn., 51, 2914 (1982).
L. P. Avakyants, E. F. Dudnik, D. F. Kiselev, and I. E. Mnushkina, Fiz. Tverd. Tela, 25, 1910 (1983).
H. Tokumoto and H. Unoki, Phys. Rev. B, 27, 3748 (1983).
B. Y. Gu, H. Z. Cummins, S. L. Qiu, and M. Copic, Ferroelectrics, 52, 45 (1983).
J. G. Wood and A. M. Glayzer, J. Appl. Cryst., 13, 217 (1980).
W. I. F. David, J. Phys. C: Sol. St. Phys., 16, 5093 (1983).
W. I. F. David, J. Phys. C: Sol. St. Phys., 16, 5119 (1983).
W. I. F. David and J. G. Wood, J. Phys. C: Sol. St. Phys., 16, 5127 (1983).
J. F. Nye, Physical Properties of Crystals, Clarendon Press, Oxford (1964).
W. I. F. David and J. G. Wood, J. Phys. C: Solid State Phys., 16, 5149 (1983).
K. J. Fousek and V. Janovec, J. Appl. Phys., 40, 135 (1969).
J. Sapriel, Phys. Rev. B, 12, 5128 (1975).
Y. Ishibashi, J. Phys. Soc. Jpn., 47, 1857 (1979).
C. Manolikas and S. Amelinckx, Phys. St. Sol., A60, 167 (1980).
L. S. Wainer, R. F. Baggio, H. L. Dussel, and H. A. Benyacar, Ferroelectrics, 31, 121 (1981).
I. E. Mnushkina and E. F. Dudnik, Kristallografiya, 27, 805 (1982).
S. V. Akimov, I. E. Mnushkina, and E. F. Dudnik, Zh. Tekh. Fiz., 52, 784 (1982).
E. F. Dudnik, V. V. Gene, and I. E. Mnushkina, Izv. Akad. Nauk SSSR, Ser. Fiz., 43, 1723 (1979).
E. F. Dudnik, I. E. Mnushkina, and V. V. Gene, Fiz. Tverd. Tela, 23, 576 (1981).
D. L. Wood and J. W. Fleming, Rev. Sci. Instr., 53, 43 (1982).
L. P. Avakyants, D. F. Kiselev, and A. V. Chervyakov, Izv. Akad. Nauk SSSR, Ser. Fiz., 48, 1107 (1984).
A. M. Sleight, H.-Y. Cun, A. Ferreti, and D. E. Coh, Mater. Res. Bull., 14, 1571 (1979).
L. P. Avakyants, D. F. Kiselev, and A. V. Chervyakov, Fiz. Tverd. Tela, 27, 231 (1985).
L. P. Avakyants, D. F. Kiselev, and A. V. Chervyakov, “Determination of the spontaneous strain in polydomain ferroelectric crystals” [in Russian], Preprint of the Physical Faculty of Moscow State University, No. 11/1988, Moscow (1988).
L. P. Avakyants, D. F. Kiselev, and A. V. Chervyakov, “Temperature dependence of the components of the spontaneous strain tensor of polydomain BiVO4 ferroelastic crystals” [in Russian], in: Book of Abstracts of the VI All-Russian Workshop “Ferroelastics (Properties and Applications),” Dnepropetrovsk (1988), p. 77.
L. P. Avakyants, D. F. Kiselev, and A. V. Chervyakov, Fiz. Tverd. Tela, 25, 2782 (1983).
G. N. Zhizhin, B. N. Mavrin, and V. F. Shabanov, Optical Vibrational Spectra of Crystals [in Russian], Nauka, Moscow (1984).
H. Poulet and J. P. Mathieu, Spectres de Vibration et Symetrie des Cristaux, Gordon & Breach, Paris (1970).
G. B. Bokii, Crystal Chemistry [in Russian], Nauka, Moscow (1971).
K. Nakamoto, Infrared Spectra of Inorganic and Coordination Compounds, Wiley, New York (1963).
L. P. Avakyants, I. A. Kitov, and A. V. Chervyakov, Prib. Tekh. Éksp., No. 2, 145 (1988).
L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd English ed., Pergamon Press, Oxford (1986).
A. M. Kosevich, Fundamentals of Crystal Lattice Mechanics [in Russian], Nauka, Moscow (1972).
F. I. Fedorov, Theory of Elastic Waves in Crystals, Plenum Press, New York (1968).
Yu. I. Sirotin and M. P. Shaskol'skaya, Fundamentals of Crystal Physics [in Russian], Nauka, Moscow (1979).
V. E. Lyamov, Polarization Effects and Anisotropy of Interaction of Acoustic Waves in Crystals [in Russian], Moscow State University Publishers, Moscow (1983).
D. J. Hudson, Lectures on Elementary Statistics and Probability, CERN, Geneva (1963).
C. R. Rao, Linear Statistical Inference and Its Applications, 2nd ed., Wiley, New York (1973).
A. A. Afifi and S. P. Azen, Statistical Analysis, Academic Press, New York-San-Francisco-London (1979).
N. Draper and H. Smith, Applied Regression Analysis, Wiley, New York (1966).
N. M. Kalitkin, Numerical Methods [in Russian], Nauka, Moscow (1978).
L. P. Avakyants, D. F. Kiselev, and A. V. Chervyakov, Kristallografiya, 30, 1021 (1985).
L. P. Avakyants, D. F. Kiselev, and A. V. Chervyakov, “Intensity of light scattering by soft optical and acoustic modes in the region of the ferroelastic phase transition in BiVO4” [in Russian], in: Book of Abstracts of the VI All-Russian Workshop “Ferroelastics (Properties and Applications),” Dnepropetrovsk (1988), p. 78.
L. P. Avakyants, I. A. Kitov, and A. V. Chervyakov, “Automated set-up for studies of Mandelstam-Brillouin scattering on the basis of the “Elektronika-60” computer” [in Russian], in: Book of Abstracts of the XX All-Russian Spectroscopy Congress, Kiev (1988), part 2, p. 77.
L. P. Avakyants, S. V. Akimov, A. M. Antonenko, et al., Fiz. Tverd. Tela, 24, 2486 (1982).
V. V. Lemanov, S. Kh. Esayan, and Zh. P. Shapel', Fiz. Tverd. Tela, 23, 262 (1981).
V. L. Ginzburg, A. P. Levanyuk, and A. A. Sobyanin, Usp. Fiz. Nauk, 130, 615 (1980).
D. G. Sannikov, Fiz. Tverd. Tela, 4, 1619 (1962).
V. S. Gorelik, “On the anomalies of the spectral intensity of inelastic light scattering near the phase transition point in crystals,” in: M. M. Sushchinsky (Ed.), Inelastic Light Scattering in Crystals, Proceedings of the Lebedev Physical Institute [in Russian], Nauka, Moscow (1987), Vol. 180, p. 180.
R. L. Reese, I. J. Fritz, and H. Z. Cummins, Phys. Rev. B, 37, 4165 (1973).
D. F. Nelson, P. D. Lazay, and M. Lax, Phys. Rev. B, 6, 3109 (1972).
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Avakyants, L.P., Chervyakov, A.V., Gorelik, V.S. et al. Inelastic Light Scattering Near the Ferroelectric Phase-Transition Point in Bismuth Vanadate Crystals. Journal of Russian Laser Research 25, 535–580 (2004). https://doi.org/10.1023/B:JORR.0000049086.09037.b3
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DOI: https://doi.org/10.1023/B:JORR.0000049086.09037.b3