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Quantum concept of the rearrangement of a crystal lattice

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Abstract

Using quantum considerations based on the concept of lattice rearrangement waves, we carried out an analysis of processes of rearrangement of a crystal lattice occurring on a moving front (interface) of crystal rearrangement. For the introduction and quantization of these waves we use the method of acoustomechanical analogy and the Sommerfeld quantum conditions. We calculate the energies and the propagation velocities of the lattice rearrangement waves. Along with quanta having a certain momentum, quanta that have a certain angular momentum are introduced into consideration. On the basis of the concepts developed, we suggest a new expression for calculating the probability of thermofluctuational processes in a crystal. We perform a numerical analysis of the rate of growth of the γ-phase in iron in the process of α-γ-conversion. Satisfactory agreement with experiment is obtained. We discuss the limitations and prospects of further development of the concept suggested. For direct experimental verification of the concept we propose to investigate the diffraction of electrons and other particles on the lattice rearrangement waves, i.e., in the process of phase conversions or disintergration of crystals.

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Authors
  1. M. D. Gureev
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  2. S. I. Mednikov
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Additional information

Branch of the P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Samara. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 1, pp. 136–142, January–February, 1995.

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Gureev, M.D., Mednikov, S.I. Quantum concept of the rearrangement of a crystal lattice. J Eng Phys Thermophys 68, 129–134 (1995). https://doi.org/10.1007/BF00854377

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  • DOI: https://doi.org/10.1007/BF00854377

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