Tables of Debye Functions

Abstract

Tables and asymptotic limits of the Debye functions[Formula: see text]are presented for n = 0.5, 1.0, 1.5, 2.0, 2.5. This information may be used to facilitate the calculation of the negative moments of the phonon frequency distribution function from the heat capacity data of crystals.

On the computation of Debye functions of integer orders

“…For a recent application, refer to Howard and Grindlay [1], and for a survey of numerical tables refer to Fletcher et al [2]. They are sometimes labeled radiation integrals.…”

“…Recently Howard and Grindlay [1] used these functions for p = 0.5(0.5)2.5 in the solution of a transcendental equation. Thus the Debye functions are essentially incomplete Riemann zeta functions.…”

On the Computation of Debye Functions of Integer Orders

“…They are sometimes labeled radiation integrals. For a recent application, refer to Howard and Grindlay [1], and for a survey of numerical tables refer to Fletcher et al [2]. We shall define these functions as:…”

“…Thus the Debye functions are essentially incomplete Riemann zeta functions. Recently Howard and Grindlay [1] used these functions for p = 0.5(0.5)2.5 in the solution of a transcendental equation.…”