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Yıl 2022, Cilt 43, Sayı 1, 113 - 115, 30.03.2022
https://doi.org/10.17776/csj.895118

Öz

Kaynakça

  • [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

Yıl 2022, Cilt 43, Sayı 1, 113 - 115, 30.03.2022
https://doi.org/10.17776/csj.895118

Öz

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.

Kaynakça

  • [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.

Ayrıntılar

Birincil Dil İngilizce
Konular Fizik, Ortak Disiplinler
Bölüm Natural Sciences
Yazarlar

Ebru ÇOPUROĞLU (Sorumlu Yazar)
TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİ
0000-0002-4363-5730
Türkiye

Yayımlanma Tarihi 30 Mart 2022
Başvuru Tarihi 11 Mart 2021
Kabul Tarihi 27 Aralık 2021
Yayınlandığı Sayı Yıl 2022, Cilt 43, Sayı 1

Kaynak Göster

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