Effective partition function of crystals: Reconstruction from heat capacity data and Debye-Waller factor

Tomaschitz, Roman

doi:10.1016/j.physb.2020.412243

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Cited by 6 publications

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“…Comparing form (25) with series (20), one can formulate conditions of coincidence of limit-ing behavior of the function K LM (x) and its derivatives up to order M 4(L − 1) for x → 0:…”

Section: Approximation Formmentioning

confidence: 99%

Analytic approximation of the Debye function

Khishchenko¹

2020

MathMon

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An expression in a closed form is proposed for the approximation of the Debyefunction used in thermodynamic models of solids. This expression defines an analytic functionthat has the same limiting behavior as the Debye function at low and high temperatures. Theapproximation gives the maximum relative deviation from the value of the Debye function lessthan 0.001. The proposed expression can be useful in the equations of state of solids in a widetemperature range.

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“…Comparing form (25) with series (20), one can formulate conditions of coincidence of limit-ing behavior of the function K LM (x) and its derivatives up to order M 4(L − 1) for x → 0:…”

Section: Approximation Formmentioning

confidence: 99%