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2017 | 131 | 3 | 519-526
Article title

New Kinetic Theory for Absorption and Emission Rates of Radiation and New Equations for Lattice and Electronic Heat Capacities, Enthalpies and Entropies of Solids: Application to Copper

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EN
Abstracts
EN
New equations, which have analytical solutions, for lattice and electronic heat capacities, entropies and enthalpies at constant volume and constant pressure were derived by using kinetic theory, Kirchhoff and Stefan-Boltzmann laws and Wien radiation density equation. These equations were applied to the experimental constant volume heat capacity data of copper. The temperature Θ_{V} corresponding to 3R/2 was found to be 78.4 K for copper. Copper shows the dimensionality crossover from 3 to 2 at about 80 K. The Θ_{V}(T) is proportional to Debye temperature. The relationship between dimension and Θ_{V} was given. Temperature dependence of Debye temperature and non-monotonic behavior were discussed. The heat capacity and entropy values, predicted by the proposed models were compared with the values predicted by the Debye models. The results have shown that the proposed models fit the data better than the Debye models. Enthalpy equations derived in this study were compared with the polynomial model and a good fitting was obtained. The equation for the photon absorption equilibrium constant of copper was derived.
Keywords
EN
Year
Volume
131
Issue
3
Pages
519-526
Physical description
Dates
published
2017-03
References
  • [1] A. Einstein, Annals Phys. 22, 180 (1907), doi: 10.1002/andp.19063270110
  • [2] E.S.R. Gopal, Specific Heats at Low Temperatures, Plenum Press, New York 1966, p. 25, doi: 10.1007/978-1-4684-9081-7
  • [3] A. Tari, The Specific Heat of Matter at Low Temperatures, Imperial Collage Press, London 2003, p. 19, doi: 10.1142/9781860949395
  • [4] D.W. Rogers, Einstein's Other Theory. The Planck-Bose Theory of Heat Capacity, Princeton University Press, 2005, p. 33
  • [5] R. Passler, Phys. Status Solidi B 245, 1133 (2008), doi: 10.1002/pssb.200743480
  • [6] P. Debye, Annals Phys. 39, 789 (1912), doi: 10.1002/andp.19123441404
  • [7] C. Kittel, Introduction to Solid State Physics, Wiley, New York 2005, p. 115
  • [8] R. Passler, Phys. Status Solidi B 247, 77 (2010), doi: 10.1002/pssb.200945158
  • [9] M. Sanati, S.K. Estreicher, M. Cardona, Solid State Commun. 131, 229 (2004), doi: 10.1016/j.ssc.2004.04.043
  • [10] A. Gibin, G.G. Devyathykh, A.V. Gusev, R.K. Kramer, M. Cardona, H.-J. Pohl, Solid State Commun. 133, 569 (2005), doi: 10.1016/j.ssc.2004.12.047
  • [11] M. Cardona, R.K. Kramer, M. Sanati, S.K. Estreicher, T.R. Antony, Solid State Commun. 133, 465 (2005), doi: 10.1016/j.ssc.2004.11.047
  • [12] P. Flubacher, A.J. Leadbetter, J.A. Morrison, Phil. Mag. 4, 273 (1959), doi: 10.1080/14786435908233340
  • [13] W. Desorbo, J. Chem. Phys. 21, 1144 (1953), doi: 10.1063/1.1699152
  • [14] L.X. Benedict, S.G. Louie, M.L. Cohen, Solid State Commun. 100, 177 (1996), doi: 10.1016/0038-1098(96)00386-9
  • [15] W. de Heer, Science 289, 1702 (2000), doi: 10.1126/science.289.5485.1702
  • [16] J. Hone, B. Battlogg, Z. Benes, A.T. Johnson, J.E. Fischer, Science 289, 1730 (2000), doi: 10.1126/science.289.5485.1730
  • [17] G.K. White, S.J. Collocott, J. Phys. Chem. Ref. Data 13, 1251 (1984), doi: 10.1063/1.555728
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv131n351kz
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