Solution of the Integral in Debye's Theory of Specific Heat of Solids

Sukheeja, B. D.

doi:10.1119/1.1976500

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Infinite-series Forms Of the Debye Function1

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2008

2024

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“…The first integral in equation (14) has known value π 4 /15 [1,52]; the last integral in equation (14) can be simplified using the Taylor series…”

Section: Infinite-series Forms Of the Debye Functionmentioning

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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“…The first integral in equation (14) has known value π 4 /15 [1,52]; the last integral in equation (14) can be simplified using the Taylor series…”

Section: Infinite-series Forms Of the Debye Functionmentioning

confidence: 99%