Structure of Liquid Sulfur Through Polymer Percus-Yevick Theory

Abstract

The static structure factor S(k) for liquid sulfur is calculated via an analytical solution of the Polymer Percus-Yevick (PPY) equation using the fused hard sphere polyatomic model. As the first step in this direction we have applied the ideal chain approximation in which formation of ring polymers is neglected. The chain molecule is represented to be formed by hard sphere beads with two independent attractive sites displaced inside the hard core. The beads adjucent within a given chain penetrate each other at a distance L between their centres. Theoretical results are comparted with experimental data. The theory gives the correct qualitative form for the small and large wavelength region of structure factor. The analysis of the S(k → 0) limit is presented also.

Key Words:

• Integral equations
• structure factor
• polymer chains