Table of Contents
Journal of Thermodynamics
Volume 2011 (2011), Article ID 874979, 4 pages
http://dx.doi.org/10.1155/2011/874979
Research Article

Evaluation of the Component Chemical Potentials in Analytical Models for Ordered Alloy Phases

1Institute for Materials Research, University of Salford, Salford, M5 4WT, UK
2Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China

Received 17 November 2010; Accepted 27 January 2011

Academic Editor: Brian J. Edwards

Copyright © 2011 W. A. Oates et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The component chemical potentials in models of solution phases with a fixed number of sites can be evaluated easily when the Helmholtz energy is known as an analytical function of composition. In the case of ordered phases, however, the situation is less straightforward, because the Helmholtz energy is a functional involving internal order parameters. Because of this, the chemical potentials are usually obtained numerically from the calculated integral Helmholtz energy. In this paper, we show how the component chemical potentials can be obtained analytically in ordered phases via the use of virtual cluster chemical potentials. Some examples are given which illustrate the simplicity of the method.