Articles | Open Access | DOI: https://doi.org/10.37547/tajiir/Volume02Issue08-12

About Debye Temperature In Crystals At T = 0 K

Irisali Khidirov , Institute of Nuclear Physics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
Sayfiddin Rakhmanov , Institute of Nuclear Physics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
Sherzod Makhmudov , Institute of Nuclear Physics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
Muslim Fazilov , Physical-Technical Institute SPA "Physics-Sun" AS RU, Tashkent, Uzbekistan

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

Keywords

Thermal crystal lattice oscillations, s, Debye temperature

References

Ch. Kittel Introduction to solid state

physics. 8-th edition, New York: Jhon

Wiley, 704 p., 2005.

G.I. Epifanov, Solid State Physics. Saint

Petersburg: Lan Publishing House, 288 p.,

G. Schulze, Metallophysik. Moscow: Mir,

p, 1971.

I. Khidirov, A.S. Parpiev , Separate

Determination of Amplitude of Thermal

Vibrations and Static Atomic

Displacements in Titanium Carbide by

Neutron Diffraction // Crystallography

Reports. MAIK "Nauka/ Interperiodica"

Pleiades Publishing. Ltd. Russian.

Moscow, Vol. 56. No.3, pp. 498-502. 2011.

http://www.springerlink.com/content/r62

hnr3554x2/

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Irisali Khidirov, Sayfiddin Rakhmanov, Sherzod Makhmudov, & Muslim Fazilov. (2020). About Debye Temperature In Crystals At T = 0 K. The American Journal of Interdisciplinary Innovations and Research, 2(08), 88–96. https://doi.org/10.37547/tajiir/Volume02Issue08-12