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Born, M. (1951) The Limit of Ideal Crystal Theory Applicability and Their Overcoming. Ceremonial Assay to the Celebration of Two Hundred Years Creation Academy of Sciences in Goettingen, Springer Publishing, Berlin.

has been cited by the following article:

  • TITLE: Model of Cubic Cell for Description of Some Phase Transitions in Crystals

    AUTHORS: Vladimir Kh. Kozlovskiy

    KEYWORDS: Cubic Cell, Phase Transitions, Influence of Temperature, Influence of Pressure

    JOURNAL NAME: World Journal of Condensed Matter Physics, Vol.8 No.4, October 10, 2018

    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.