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Year 2022, , 113 - 115, 30.03.2022
https://doi.org/10.17776/csj.895118

Abstract

References

  • [1] Chaplot S. L., Mittal R., Choudhury N., Thermodynamic properties of solids: Experiment and modeling, Thermodynamic Properties of Solids, 1(2010).
  • [2] Ventura G., Perfetti M., Thermal properties of solids at room and cryogenic temperatures. Berlin, Germany: Springer, (2014) 81-91.
  • [3] Kittel C., McEuen P., McEuen P., Introduction to solid state physics. New York: Wiley, 8 (1996) 105-130.
  • [4] Cankurtaran M., Askerov B. M., Equation of state, isobaric specific heat, and thermal expansion of solids with polyatomic basis in the Einstein‐Debye approximation, Physica Status Solidi (b), (2) (1996) 499-507.
  • [5] Abu-Eishah S. I., Correlations for the thermal conductivity of metals as a function of temperature, International journal of Thermophysics, (6) (2001)1855-1868.
  • [6] Hatta I., Heat capacity per unit volume, Thermochimica acta, (1-2) (2006) 176-179.
  • [7] Gao M. C., Widom M., Information entropy of liquid metals, The Journal of Physical Chemistry B, (13) (2018) 3550-3555.
  • [8] Desjarlais M. P., First-principles calculation of entropy for liquid metals, Physical Review E, (6) (2013) 062145.
  • [9] Uspenskaya, I. A., & Kulikov, L. A., Method for the estimation of standard entropy of crystal phases at 298.15 K on the limited temperature range of heat capacity measurements, Journal of Chemical & Engineering Data, (8) (2015) 2320-2328.
  • [10] Askerov B. M., Figarova S., Thermodynamics, Gibbs Method and Statistical Physics of Electron Gases, Springer Science & Business Media, (57) (2009) .
  • [11] Debye P., Zur theorie der spezifischen wärmen, Annalen der Physik, (14) (1912) 789-839.
  • [12] Guseinov I. I., Mamedov B. A., Calculation of integer and noninteger n-dimensional debye functions using binomial coefficients and incomplete gamma functions, International Journal of Thermophysics, (4) (2007) 1420-1426.
  • [13] Mehmetoglu T., Use of Einstein-Debye method in the analytical and semi empirical analysis of isobaric heat capacity and thermal conductivity of nuclear materials, Journal of Nuclear Materials, 527 (2019)151827.
  • [14] Gradshtein I. S., Ryzhik I. M., Tables of integrals, sums, series, and products. Elseiver, (1971).
  • [15] Gordon England.Periodic Table of the Elements. Available at:https://www.gordonengland.co.uk/elements/ Retrieved March 11, 2021.
  • [16] Knowledge Door Element Handbook. Available at: http://www.knowledgedoor.com/Retrieved March 11, 2021.

Calculating Entropy of Some Solid Metals by Using n-Dimensional Debye Approximation

Year 2022, , 113 - 115, 30.03.2022
https://doi.org/10.17776/csj.895118

Abstract

The entropies of some solid metals have been analytically calculated by the use of n-dimensional Debye approximation in this study. The obtained formula is valid for all temperature ranges from low to melting temperature. We have compared our results with available numerical and experimental data for room temperature ( ). As can be seen that our results are in good agreement with literature.

References

  • [1] Chaplot S. L., Mittal R., Choudhury N., Thermodynamic properties of solids: Experiment and modeling, Thermodynamic Properties of Solids, 1(2010).
  • [2] Ventura G., Perfetti M., Thermal properties of solids at room and cryogenic temperatures. Berlin, Germany: Springer, (2014) 81-91.
  • [3] Kittel C., McEuen P., McEuen P., Introduction to solid state physics. New York: Wiley, 8 (1996) 105-130.
  • [4] Cankurtaran M., Askerov B. M., Equation of state, isobaric specific heat, and thermal expansion of solids with polyatomic basis in the Einstein‐Debye approximation, Physica Status Solidi (b), (2) (1996) 499-507.
  • [5] Abu-Eishah S. I., Correlations for the thermal conductivity of metals as a function of temperature, International journal of Thermophysics, (6) (2001)1855-1868.
  • [6] Hatta I., Heat capacity per unit volume, Thermochimica acta, (1-2) (2006) 176-179.
  • [7] Gao M. C., Widom M., Information entropy of liquid metals, The Journal of Physical Chemistry B, (13) (2018) 3550-3555.
  • [8] Desjarlais M. P., First-principles calculation of entropy for liquid metals, Physical Review E, (6) (2013) 062145.
  • [9] Uspenskaya, I. A., & Kulikov, L. A., Method for the estimation of standard entropy of crystal phases at 298.15 K on the limited temperature range of heat capacity measurements, Journal of Chemical & Engineering Data, (8) (2015) 2320-2328.
  • [10] Askerov B. M., Figarova S., Thermodynamics, Gibbs Method and Statistical Physics of Electron Gases, Springer Science & Business Media, (57) (2009) .
  • [11] Debye P., Zur theorie der spezifischen wärmen, Annalen der Physik, (14) (1912) 789-839.
  • [12] Guseinov I. I., Mamedov B. A., Calculation of integer and noninteger n-dimensional debye functions using binomial coefficients and incomplete gamma functions, International Journal of Thermophysics, (4) (2007) 1420-1426.
  • [13] Mehmetoglu T., Use of Einstein-Debye method in the analytical and semi empirical analysis of isobaric heat capacity and thermal conductivity of nuclear materials, Journal of Nuclear Materials, 527 (2019)151827.
  • [14] Gradshtein I. S., Ryzhik I. M., Tables of integrals, sums, series, and products. Elseiver, (1971).
  • [15] Gordon England.Periodic Table of the Elements. Available at:https://www.gordonengland.co.uk/elements/ Retrieved March 11, 2021.
  • [16] Knowledge Door Element Handbook. Available at: http://www.knowledgedoor.com/Retrieved March 11, 2021.
There are 16 citations in total.

Details

Primary Language English
Subjects Classical Physics (Other)
Journal Section Natural Sciences
Authors

Ebru Çopuroğlu 0000-0002-4363-5730

Publication Date March 30, 2022
Submission Date March 11, 2021
Acceptance Date December 27, 2021
Published in Issue Year 2022

Cite

APA Çopuroğlu, E. (2022). Calculating Entropy of Some Solid Metals by Using n-Dimensional Debye Approximation. Cumhuriyet Science Journal, 43(1), 113-115. https://doi.org/10.17776/csj.895118