A density functional treatment of the hard dumbbell freezing transition
- 15 October 1987
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 87 (8) , 4853-4858
- https://doi.org/10.1063/1.452848
Abstract
We present the first implementation of our density functional theory [J. Chem. Phys. 85, 5971, 5977 (1986)] to investigate a fluid–solid phase transition. In this theory, designed specifically for polyatomic systems, the entropy functional with bonding constraints is treated exactly, and approximations are generated by truncating expansions of the intermolecular interaction part of the free-energy density functional. We examine the theory resulting from the quadratic truncation of the interaction free energy, and determine the resulting phase diagram for hard dumbbell molecules. The results for short bond lengths are in accord with known trends from experiment and simulation. However, the theory predicts no plastic crystal transition for hard dumbbells with a bond length that might characterize nitrogen, for which the experimental β phase is a plastic crystal. Reasons for this behavior are discussed.Keywords
This publication has 25 references indexed in Scilit:
- A molecular dynamics study of the hard dumb-bell systemMolecular Physics, 1987
- Freezing and interfaces: Density functional theories in two and three dimensionsProgress in Solid State Chemistry, 1986
- The density functional theory of freezing: results and high-density artifactsThe Journal of Physical Chemistry, 1985
- Molecular theory of liquid crystals: Application to the nematic phasePhysical Review A, 1984
- Molecular field theory of nematics: density functional approach. I. Bulk effectsJournal of Physics A: General Physics, 1983
- First-principles order-parameter theory of freezingPhysical Review B, 1979
- Solid and liquid nitrogenPhysics Reports, 1976
- Erratum and addenda: Solution of a new integral equation for pair correlation function in molecular liquidsThe Journal of Chemical Physics, 1975
- Simulation of Diatomic Homonuclear LiquidsPhysical Review A, 1973
- Relationship between the Hard-Sphere Fluid and Fluids with Realistic Repulsive ForcesPhysical Review A, 1971