Jd. Kress et Af. Voter, MODEL DESCRIPTION OF TRANSITION-METALS USING THE ROTATED 2ND MOMENT APPROXIMATION, Radiation effects and defects in solids, 129(1-2), 1994, pp. 45-53
An interatomic potential is described, the rotated second moment appro
ximation (RSMA), which incorporates directional bonding through energy
moments evaluated over directional atomic orbitals. When non-directio
nal orbitals are used, RSMA reduces to the standard SMA, and is thus c
apable of describing metallic systems. A model RSMA potential is demon
strated for 3d transition metals, with only first neighbor shell inter
actions, which can correctly predict the experimental trend in the rel
ative stability of the fcc and hcp structures. A generalization of RSM
A is proposed that is related in the same way that the embedded atom m
ethod (EAM) is related to the SMA. A generalized fcc RSMA potential is
constructed for which the Cauchy pressure can be made negative by sys
tematically adjusting one parameter. This behavior results from the an
gular (directional) forces and not from a physically-unreasonable embe
dding function.