Interparticle Interference in Liquids

Abstract

AbstractThis chapter presents the effects of interparticle interference on scattering from liquid matters composed of particles. A general description is first given for liquids composed of particles with shape anisotropy. The chapter then describes the interparticle interference effects and the relevant subjects as follows. Single Gaussian Chain Composed of Pairs of Spherical Particles with a Fixed Interparticle Distance Linked by Flexible Joints and That Composed of Rod-like Particles with a Fixed Length Linked by Flexible Joints: Simple Liquids Described by Zernike–Prins and Debye–Mencke Scattering Function: Debye’s Hard Spheres: Amorphous Matters: Percus–Yevick Equation: Sticky Hard Spheres. The Zernike–Prins scattering function, together with the Ornstein–Zernike equation interrelating the direct particle–particle correlation function c(r) with the total correlation function h(r) and with the Percus–Yevick equation interrelating h(r) and c(r) with the pair potential of the particle u(r), is shown to provide scattering function for liquids with hard spheres and sticky hard spheres when u(r) for hard spheres and sticky hard spheres are employed, respectively.KeywordsInterparticle interferenceZernike–Prins and Debye–Mencke Scattering FunctionRadial distribution functionPair potentialHard spheresStick hard spheresPercus–Yevick equationOrnstein–Zernike equationTotal and direct correlation functionDebye hard spheres