THE PHONON DENSITY OF STATES OF SOLIDS FROM THE EXPERIMENTAL HEAT CAPACITY

Viktor N. Naumov
1. Nikolaev Institute of Inorganic Chemistry SB RAS Novosibirsk, Russian Federation
vn@niic.nsc.ru
Alimbek B. Tagaev
1. Nikolaev Institute of Inorganic Chemistry SB RAS Novosibirsk, Russian Federation
Anatoliy E. Musikhin
1. Nikolaev Institute of Inorganic Chemistry SB RAS Novosibirsk, Russian Federation
anatoliy.musikhin@gmail.com
The material was received by the Editorial Board: 14.05.2012
The new method of determining the spectrum phonon density of states g(ω) fr om the experimental data in the heat capacity C(T), obtained in the wide temperature interval is suggested. At the primary stage g(ω) is described in symptomless ones (near zero and lim it frequencies). The parameters can be determined from the C(T) curve. So the obtained zero coming for the phonon density of states g(ω) is made by the iteration process when the redistribution in the frequencies of the vibrating modes of the zero coming is done. The iteration process is connected with the difference reduction in the made and experimental heat capacity and managed by the redistribution of the vibrating modes. The method is viewed for the number of the model spectra with different degree of complication. The obtained results show the possibility of the singling out three peaks in g(ω) with the right description of their form. The phonon density of states for aluminum is determined and the comparison with the investigation results represented in the list of literature is done.

Keywords:
heat capacity, the phonon density of states, excitation spectrum of the ground state of the crystal.
УДК 536.631; 544.223.22

THE PHONON DENSITY OF STATES OF SOLIDS FROM THE EXPERIMENTAL HEAT CAPACITY
References: Naumov V. N., Tagaev A. B., Musikhin A. E. THE PHONON DENSITY OF STATES OF SOLIDS FROM THE EXPERIMENTAL HEAT CAPACITY. Vestnik NSU. Series: Physics. 2012, vol. 7, no. 3. P. 102–113 (in Russ.). DOI: 10.54362/1818-7919-2012-7-3-102-113