On the Inversion of the Specific-Heat Function

In this paper we present a method for the inversion of specific hear data to find the vibrational frequency spectrum of a solid. Our results are given in terms of a power series in ω, the frequency. In this series the coefficients depend on Cν(T) and its derivatives at T = 0. The series thus derived is valid only in an asymptotic sense, but represents an improvement over inversions by Montroll and Kroll which require a knowledge of functions formed from the data, and the evaluation of double integrals over these functions. A method for forming the successive values of Cν(n)(0) from experimental data is also presented.