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, UzbekistanAbstract
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/
Article Statistics
Downloads
Copyright License
Copyright (c) 2020 Irisali Khidirov, Sayfiddin Rakhmanov, Sherzod Makhmudov, Muslim Fazilov
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.