Abstract
Incommensurability of interacting sublattices in inorganic suprastructures can lead to formation of defects, including fragmentation of one of the sublattices. A theoretical approach is proposed, which is based on the analytical and numerical studies of the static one-dimensional Frenkel–Kontorova model for chains of finite length. This approach provides the possibility of relating geometric and energy parameters of the interacting sublattices to the values of bond deformations that arise. These deformations, in turn, may result in the fragmentation of one of the sublattices and formation of imperfect structures.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. S. Pervov and E. V. Makhonina, Russian Chem. Rev. 69, 481–489 (2000).
J. Rouxel, A. Meerschaut, and G. A. Wiegers, J. Alloys. Comp. 229,144–157 (1995).
Ya. I. Frenkel and T. A. Kontorova, Russian Zh. Exper. Theoret.Phys. 8, 89–95 (1938).
M. J. Feigenbaum, Russian Uspechi Phys. Nauk 141, 343–374 (1983).
L. Guemas, P. Rabu, A. Meerschaut, and J. Rouxel, Mater. Res.Bull. 23, 1061–1069 (1988).
L. C. Otero-Diaz, R. L. Withers, A. Gomez-Herrero, T. R. Wel-berry,and S. Schmidt, J. Solid State Chem. 115, 274–282 (1995).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mikheikin, I.D., Kuznetsov, M.Y., Makhonina, E.V. et al. The Frenkel–Kontorova Model for Studying Suprastructures with Incommensurate Elements. Journal of Materials Synthesis and Processing 10, 53–60 (2002). https://doi.org/10.1023/A:1021005214625
Issue Date:
DOI: https://doi.org/10.1023/A:1021005214625