Abstract
A diffusion model of the polymorphic transformation of a molecular crystal accompanied by the escape of mobile defects is suggested. The model describes both bulk and frontal regimes of the process. The frontal regime is possible when the concentration of mobile defects exceeds some threshold value, the existence of which explains spread of times of the beginning of the polymorphic transition in a crystal. The temperature dependence of the rate of a polymorphic process wave was obtained. Internal crystal microstresses that appeared in a phase transition wave were theoretically estimated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. V. Chukanov, V. V. Dubikhin, A. V. Raevskii, et al., Zh. Fiz. Khim. 80, 350 (2006) [Russ. J. Phys. Chem. A 80, 281 (2006)].
N. V. Chukanov, V. V. Zakharov, B. L. Korsunskii, et al., Zh. Fiz. Khim. 83, 37 (2009) [Russ. J. Phys. Chem. A 83, 29 (2009)].
N. V. Chukanov, B. L. Korsounskii, V. V. Nedelko, et al., in Proceedings of the 37th Intern. Annual Conference on ICT (Karlsruhe, FRG, 2006), p. 29/1.
N. V. Chukanov, V. A. Dubovitskii, V. V. Zakharov, et al., Khim. Fiz. 28(5), 99 (2009) [Russ. J. Phys. Chem. B 28, 486 (2009)].
A. N. Kolmogorov, I. G. Petrovskii, and N. S. Piskunov, Byull. Mosc. Univ., Ser. A 1(B), 1 (1937).
Ya. B. Zel’dovich, Zh. Fiz. Khim. 22, 27 (1948).
Ya. I. Kanel’, Mat. Sb. 59(101), 245 (1962).
V. G. Yakhno, Autowave Processes in Kinetic Systems (IPF AN SSSR, Gorky, 1981; Kluwer, Dordrecht, 1987).
D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics (Nauka, Moscow, 1967) [in Russian].
A. I. Vol’pert and S. I. Khudyaev, Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics (Nauka, Moscow, 1975) [in Russian].
A. I. Vol’pert and V. A. Vol’pert, “Travelling Wave Solutions of Monotone Parabolic Systems,” Preprint (IKhF AN SSSR, Chernogolovka, 1990) [in Russian].
N. N. Kalitkin, Numerical Methods (Nauka, Moscow, 1978) [in Russian].
D. Young, Decomposition of Solids (Pergamon, Oxford, 1966; Mir, Moscow, 1969).
M. Fol’mer, Kinetics of New Phase Formation (Nauka, Moscow, 1986) [in Russian].
N. Z. Lyakhov and V. V. Boldyrev, Usp. Khim. 41, 1960 (1972).
B. Lewis, Zeit. Phys. Chem. 52, 310 (1905).
Y. Hood and V. Murphy, J. Chem. Educ. 26, 162 (1949).
V. Moles and N. Grespi, Ann. Soc. Esp. Fis. Quim 23, 198 (1921).
B. Prout and L. Tompkins, Trans. Faraday Soc. 40, 488 (1944).
G. V. Sakovich and V. V. Boldyrev, Zh. Fiz. Khim. 32, 298 (1958).
J. Bradley, Trans. Faraday Soc. 47, 630 (1951).
B. F. Henson, L. Smilowitz, B. W. Asay, and P. M. Dickson, J. Chem. Phys. 117, 3780 (2002).
V. I. Levitas, B. F. Henson, L. B. Smilowitz, and B. W. Asay, Phys. Rev. Lett. 92, 235702–1 (2004).
V. R. Regel’, A. I. Slutsker, and E. E. Tomashevskii, Kinetic Nature of Strength of Solids (Nauka, Moscow, 1974) [in Russian].
N. I. Golovina, A. N. Utenyshev, K. V. Bozhenko, et al., Zh. Fiz. Khim. 83, 1302 (2009) [Russ. J. Phys. Chem. A 83, 1153 (2009)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.V. Deyun, N.V. Chukanov, B.L. Korsunskii, 2011, published in Khimicheskaya Fizika, 2011, Vol. 30, No. 2, pp. 19–27.
Rights and permissions
About this article
Cite this article
Deyun, E.V., Chukanov, N.V. & Korsunskii, B.L. A kinetic model of the structural transformation of a molecular crystal initiated by the escape of mobile defects. Russ. J. Phys. Chem. B 5, 33–40 (2011). https://doi.org/10.1134/S1990793111020035
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1990793111020035