About Debye Temperature In Crystals At T = 0 K

Abstract

Based on the analysis of the Debye function, which relates the Debye temperature
 D
and the
measured temperature of the object T, it is shown that the Debye temperature of crystals decreases
with temperature decreasing from room temperature to absolute zero.
It is shown that the Debye temperature at temperature T = 0 K does not depend on the Debye
function, but depends only on the mass of the atom and the amplitude of the zero-point oscillations.
Based on the analysis of the thermal crystal lattice oscillations Debye theory basic assumptions and
experimental data accumulated for recent years, a formula is proposed that relates the Debye
temperature at moderate temperatures D and at absolute zero temperature (T = 0 K) 0. It is shown
that the calculated Debye temperature 0 at the absolute zero temperature according to the
proposed formula in the range from  2 to  13 % coincides with the experimental data taken from
literature for a number of substances of different classes