Theoretical Evaluation of Specific Heat Capacity and Its Application of Some Solar Cell Materials
Abstract
A simple and efficient analytical formula for the Debye function has been derived based on the binomial expression and gamma function in this study. Different analytic formulae for Debye function are given, and the convergence of the corresponding series is discussed for a wide range of the parameters. In this study, the analytic formula presented for the Debye function can be applied to evaluate some of the thermodynamic properties of solid. It has been demonstrated that this formula gives very accurate results for the specific heat capacity of solar cells over a wide range of temperatures. The results for specific heat capacity of solar cell Si, CuInSe2 and CdTe materials have been compared with theoretical calculations and experimental data and indicated that the analytical formula can be satisfactorily used for other solids.
Keywords
Ethical Statement
References
- S. A. Khandy, I. Islam, D. C. Gupta, and A. Laref, “Electronic structure, mechanical and thermodynamic properties of BaPaO₃ under pressure,” J. Mol. Model., vol. 24, no. 6, p. 131, Jun. 2018, doi: 10.1007/s00894-018-3666-z.
- C. E. Deluque Toro, A. S. Mosquera Polo, A. V. Gil Rebaza, D. A. Landínez Téllez, and J. Roa-Rojas, “Ab initio study of the electronic structure, elastic, magnetic and thermodynamic properties of the Ba₂NiMoO₆ material,” J. Low Temp. Phys., vol. 192, no. 5, pp. 265–285, Sep. 2018, doi: 10.1007/s10909-018-1937-9.
- A. Benamara et al., “Elastic, electronic, thermal and magnetic investigations of PrX₂ (X = Fe, Ru) superconductors,” Mater. Today Commun., vol. 35, p. 105545, Jun. 2023, doi: 10.1016/j.mtcomm.2023.105545.
- S. M. Ma and H. Eyring, “Thermodynamic properties of solid C₂H₄,” Proc. Natl. Acad. Sci. U.S.A., vol. 76, no. 6, pp. 2495–2498, Jun. 1979, doi: 10.1073/pnas.76.6.2495.
- M. Hoch and T. Vernardakis, “Thermodynamic properties of solid and liquid metals and ceramics,” High Temp.–High Press., vol. 8, no. 3, pp. 241–246, 1976.
- D. Bolmatov, D. Zav’yalov, M. Zhernenkov, E. T. Musaev, and Y. Q. Cai, “Unified phonon-based approach to the thermodynamics of solid, liquid and gas states,” Ann. Phys., vol. 363, pp. 221–242, Dec. 2015, doi: 10.1016/j.aop.2015.09.018.
- M. H. Bölükdemir, H. Koç, and E. R. H. Eser, “Calculation of thermophysical properties of copper compounds in CuCl production cycle,” J. Phys. Chem. Solids, vol. 112, pp. 258–261, Jan. 2018, doi: 10.1016/j.jpcs.2017.10.003.
- T. P. Russell, W. C. Tao, and R. B. Wardle, “Decomposition, combustion, and detonation chemistry of energetic materials,” in MRS Proc., Jun. 1996.
Details
Primary Language
English
Subjects
Soft Condensed Matter
Journal Section
Research Article
Publication Date
March 24, 2026
Submission Date
July 7, 2025
Acceptance Date
January 20, 2026
Published in Issue
Year 2026 Volume: 15 Number: 1