We reformulate the Kirkwood-Ramakrishnan-Yussouff theory of freezing into the standard mean field structure of phase transition theory. This approach is then applied to the order-disorder transition in colloidal crystals, where one is dealing with purely repulsive electrostatic interactions. The results are shown to be: 1) roughly consistent with the form of the Lindemann criterion; 2) consistent with the Alexander-McTague condition for freezing into a bcc structure; 3) in close quantitative agreement with recent molecular dynamics calculations.
- Screened Coulomb interaction
- mean field theory
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Physical and Theoretical Chemistry
- Materials Chemistry