Model of Cubic Cell for Description of Some Phase Transitions in Crystals
Open Access
- 1 January 2018
- journal article
- Published by Scientific Research Publishing, Inc. in World Journal of Condensed Matter Physics
- Vol. 08 (04), 162-170
- https://doi.org/10.4236/wjcmp.2018.84011
Abstract
The purpose of the research is to develop a dynamical theory of phase transitions in crystalline structures, when except for temperature, the pressure is acting. So, the phase diagram temperature-pressure (dimensions) must be constructed. In general case, it is a complicated question, which can be solved for simple models of crystal, as three atomic models, introduced in the work of Frenkel [1]. In this model, three identical atoms are placed on the straight line and interact with the forces, which can be described by the expression, given in the article of Lennard-Jones [2]. Such simple model may have success, when the crystalline structure is simple, which consists of one type of atoms, for example: carbon. The model was generalized to cubic cell model with a moving atom in the inner part of the cell. The rigorous calculation of phase diagram for transition graphite-diamond shows some similarity with results of numerous experimental investigations (which are not discussed here). So, the way of phase diagram calculation may attract attention.Keywords
This publication has 1 reference indexed in Scilit:
- Melting at high pressuresUspekhi Fizicheskih Nauk, 1968