QUANTUM CONCEPT OF THE REARRANGEMENT OF A
CRYSTAL LATTICE

M. D. Gureev and S. I. Mednikov

UDC 530.145+538.9

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 gamma-phase in iron in the process 
of alfa-gamma-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 disintegration of crystals.