Debye temperature in crystals at temperature T = 0 K

Khidirov Irisali 1, Rakhmanov Sayfiddin 1, Fazilov Muslim 2

Abstract


Based on the analysis of the thermal crystal lattice vibrations Debye theory basic assumptions and experimental data accumulated for recent years, a formula is proposed that relates the Debye temperature at moderate temperatures qD and at absolute zero temperature q0 (T = 0 K). It is shown that the calculated Debye temperature q0 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


Debye temperature; Debye theory, moderate temperatures; absolute zero temperature

Full Text:

PDF

References


Epifanov GI. Solid State Physics. Saint Petersburg: Lan Publishing House 2011; 288 .

Kirillin VA, Sychev VV, Sheindlin AE; Technical thermodynamics. 5-ed. Moscow: Moskov energetic institute 2008; 497.

Schulze G, Metal lophysik. Moscow: Mir 1971; 505 p.

Khidirov I, Parpiev AS. 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. Mos-cow 2011; 56(3): 498-502.

Gusev AI. Resilient and thermal properties of sosoloids of ZrzNb1 - zCxNy Solid State Physics 2013, 55(7):1451-1454.

Aldzhanov MA, Sultanov GD, Kerimov EM, et al. Heat capacity of monochalcogenides of gallium, Pros. Of Int. Conf. of "Fizika-2005"; 101: 388-390.

Tsipenyuk YuM. Zero point energy and zero point oscillations: How they are detected experimentally. Physics Uspekhi 2012; 55(8): 855-867.




DOI: http://dx.doi.org/10.24294/cse.v0i0.197

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Creative Commons License

This site is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.