Interatomic Forces in Condensed Matter
- 23 October 2003
- book
- research article
- Published by Oxford University Press (OUP)
Abstract
There is a continuing growth of interest in the computer simulation of materials at the atomic scale, using a variety of academic and commercial computer programs. In all such programs there is some physical model of the interatomic forces. For a student or researcher, the basis of such models is often shrouded in mystery. It is usually unclear how well founded they are, since it is hard to find a discussion of the physical assumptions that have been made in their construction. The lack of clear understanding of the scope and limitations of a given model may lead to its innocent misuse, resulting either in unfair criticism of the model or in the dissemination of nonsensical results. In this book, models of interatomic forces are derived from a common physical basis, namely the density functional theory. The book includes the detailed derivation of pairwise potentials in simple metals, tight-binding models from the simplest to the most sophisticated (self-consistent) kind, and ionic models. It provides a critical appreciation of the broad range of models in current use, and provides the tools for understanding other variants that are described in the literature. Some of the material is new, and some pointers are given to possible future avenues of model development.Keywords
This publication has 139 references indexed in Scilit:
- The near-edge structure in energy-loss spectroscopy: many-electron and magnetic effects in transition metal nitrides and carbidesJournal of Physics: Condensed Matter, 2000
- Self-consistent tight-binding formalism for charged systemsJournal of Physics: Condensed Matter, 1998
- Point defects and chemical potentials in ordered alloysPhilosophical Magazine A, 1998
- Harris functional densities: from solid to atomJournal of Physics: Condensed Matter, 1996
- Construction of transferable spherically averaged electron potentialsJournal of Physics: Condensed Matter, 1994
- The Block recursion library: accurate calculation of resolvent submatrices using the block recursion methodComputer Physics Communications, 1991
- Extremal properties of the Harris energy functionalJournal of Physics: Condensed Matter, 1990
- The block Lanczos algorithm and the calculation of matrix resolventsComputer Physics Communications, 1989
- The recursion method: Processing the continued fractionComputer Physics Communications, 1984
- Effective-medium theory of chemical binding: Application to chemisorptionPhysical Review B, 1980