On the basis of the assumption of the electron density fluctuation at the band degradation, a calculation parameter (the radius R) of the half-width of the probability distribution over the coordinate R is identified at the level of the maximum electron density fluctuation (at a maximum of the Gaussian function). Based on an analysis of the crystallization process and high polymorphic transformations bcc → fcc, the reasons for the formation of bcc, fcc, hexagonal, and tetragonal structures from the liquid phase, as well as for the high temperature bcc → hcp transition in the solid phase are established using the calculated parameter (the radius R) in the solid and liquid phases.
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References
E. S. Filippov, Russ. Phys. J., 56, No. 12, 1333–1338 (2014).
E. S. Filippov, Izv. Vyssh. Uchebn. Zaved. Chern. Metallurg., No. 5, 3–6 (2009).
Sakae Takeuchi, Mater. Trans. JIM, 30, No. 9, 660 (1989).
E. I. Khar’kov, V. I. Lysov, and V. E. Fedorov, Physics of Liquid Metals [in Russian], Vishcha Shkola, Kiev (1979).
V. E. Zinoviev, Thermal Properties of Metals at High Temperatures, Reference Book, Metallurgiya, Moscow (1989).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 72–76, December, 2015.
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Filippov, E.S. Model of High Temperature Phase Transitions in Metals. Russ Phys J 58, 1747–1752 (2016). https://doi.org/10.1007/s11182-016-0711-1
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DOI: https://doi.org/10.1007/s11182-016-0711-1