Journal ArticleDOI
The evaluation of Fourier-Bessel transforms in statistical mechanics
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TLDR
In this article, the numerical evaluation of Fourier-Bessel transforms of oscillating functions is considered in statistical mechanical perturbation theory and it is concluded that the combination of Filon's method with the fast Fourier transform algorithm is the most efficient method of evaluating such integrals.About:
This article is published in Chemical Physics Letters.The article was published on 1986-04-11. It has received 0 citations till now. The article focuses on the topics: Sine and cosine transforms & Fractional Fourier transform.read more
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Journal ArticleDOI
An algorithm for the machine calculation of complex Fourier series
J.W. Cooley,John W. Tukey +1 more
TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
Journal ArticleDOI
Scattering from Fluids of Nonspherical Molecules. II. Light
R. Pecora,William A. Steele +1 more
TL;DR: In this paper, the statistical theory of nonspherical molecules is applied to the problem of the scattering of light from fluids composed of optically non-pregnant molecules, and expressions for the scattered light intensity in the elastic and inelastic scattering cases are expressed in terms of angular moments of the generalized pair distribution function of the fluid.
Journal ArticleDOI
Scattering from Fluids of Nonspherical Molecules. I. X Rays and Neutrons
William A. Steele,R. Pecora +1 more
TL;DR: In this article, the general theory of the statistical mechanics of nonspherical molecules is applied to the problem of the scattering of x rays and slow neutrons from a fluid composed of non-pregnant molecules, and expressions for the differential scattering cross sections are derived for both elastic and inelastic scattering.
Journal ArticleDOI
The use of a non-spherical reference potential in statistical mechanical perturbation theory
TL;DR: In this article, a statistical perturbation theory for the pair correlation function and thermodynamic properties of molecular fluids is presented in which the reference potential function is non-spherical.
Journal ArticleDOI
Perturbation theory for molecular fluids: Third‐order term in the Pople expansion
TL;DR: In this article, the authors derived the expression for the third-order perturbation term A3 in the Pople expansion of the Helmholtz free energy, for an arbitrary anisotropic intermolecular pair potential.