Debye’s temperature and dimensional border between macro – and nano states
- 1 Grodno, Belarus, Faculty of Fhysics and Technology1– Yanka Kupala State University of Grodno, Belarus
- 2 Faculty of Innovative Technologies of Mechanical Engineering – Yanka Kupala State University of Grodno, Belarus
- 3 University of Ruse – Bulgaria
Abstract
Debye’s temperature θD is the temperature border between areas, CμV(Т) has constant value and, when T<θD, begins to decrease monotonically. θD is the crystal parameter, which allows to calculate the dimensional border between macro- and nanostates. The statement which is found in scientific discussions that θD depends on temperature is incorrect because it contradicts modern crystal-physical theories. The numerical value θD is defined experimentally and is related to the structure of crystals and to the processes taking place in them.
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References
- Kittel', Ch. Kvantovaia teoriia tverdykh tel, Мoscow, Nauka, 1967. 492 p.
- Kittel', Ch. Vvedenie v fiziku tverdogo tela, Мoscow, Nauka, 1978. 791 p.
- Animalu, A. Kvantovaia teoriia kristallicheskikh tverdykh tel, Мoscow, Мir, 1981. 574 p.
- Elliott, S. The Physics and Chemistry of Solids, Sussex : John Wiley & Sons, 1998. P. 264–270.
- Ashkroft, N., Mermin, N. Fizika tverdogo tela, Мoscow, Мir, 1979. Vol.2. 422 p.
- Cao, G. Nanostructures and Nanomaterial Synthesis, Properties, and Applications, New York, World Scientific, 2011. 581 p.
- Katsnelson, M. [ et al.]. Peculiarities of anharmonic lattice dynamics and thermodynamics of alkaline-earth metals, Philosophical Magazine B, 2001. Vol. 81. No. 12. P. 1893 – 1913.
- De Launay, J. The theory of Specific Heats and Lattice Vibrations, Solid State Physics Advances in Research and Applications, 1956. Vol. 2. P. 225–236.
- Panfilovich, K. Temperatury Debaia zhidkikh metallov, Thermophysics and aeromechanics, 2012. Vol. 19. № 6. P. 799 – 802.
- Mitin, V. [ et al.]. Quantum Mechanics for Nanostructures, Cambridge, University Press, 2010. 431 p.
- Liopo, V. [ et al.] Obobshchennoe uravnenie teploemkosti kristallov, Progressivnye tekhnologii i sistemy mashinostroeniia, 2016. № 2 (53). P. 48 – 54.
- Nikol'skii, B [ et al.] Spravochnik khimika: obshchie svedeniia, stroenie veshchestva, svoistva vazhneishikh veshchestv, laboratornaia tekhnika: v 2 t, Мoscow, Сhemistry, 1966. Vol. 1. 1072 p.
- Avdeichik, S., Liopo, .V., Struk, .V. .Vvedenie v fiziku nanakompozitsionnykh stroitel'nykh, Grodno, GAU, 2009. 439 p.
- Prokhorov, A [ et al.]. Fizicheskaia entsiklopediia: v 5 t, Мoscow, Big Russian encyclopedia, 1994. Vol. 4. P. 548.
- Narai-Sabo,I. Neorganicheskaia kristallokhimiia, Budapest, Academy of Sciences of Hungary, 1969. 504 p.
- Gray, D.E. American Institute of Physics Handbook ,New York, McGraw-Hill Book Company Inc., 1957. P. 1541.