MODEL

HardSphere

AUTHOR/MODIFICATION

Steve Kline 06 NOV 1998

Alan Munter 04 NOV 1999, converted to Java

APPROVED FOR DISTRIBUTION

DESCRIPTION

Calculates the interparticle structure factor, S(q), for monodisperse spherical particles interacting through hard sphere (excluded volume) interations. The solution uses the Percus-Yevick closure.

VARIABLES

Input Variables (default values):

Parameter Variable Value
0Radius (Å)50.0
1Volume Fraction (0-1)0.2

USAGE NOTES

The returned value is dimensionless.

The interaction potential is:

Test - Sample Dataset

where r is the radial distance from the center of the sphere of radius R.

REFERENCE

Percus, J. K.; Yevick, G. J. Phys. Rev. 1958, 110, 1.

TEST DATASET

This example dataset is produced by calculating the HardSphere using 128 data points, qmin = 0.001 Å-1, qmax = 0.3 (Å-1) and the above default parameter values.

Hard Sphere Struct example dataset