R. Kelterbaum et al., ABOUT THE NATURE OF INTERMOLECULAR 3-BODY FORCES IONIC SYSTEMS - THE CASE OF PROTONATED HYDRATES, The Journal of chemical physics, 100(2), 1994, pp. 1589-1598
The three-body intermolecular energy is computed for the water/oxonium
ion/water system from ab initio self-consistent-field (SCF) calculati
ons and 170 geometrical configurations. It is decomposed into two part
s: Delta E(nonadd)(1st) is obtained at the first iteration of the calc
ulation and Delta E(nonadd)(deloc) is due to the following iterations
till convergency The nonadditive three-body energy, E(nonadd)(ind), is
computed from the perturbation theory. It is shown that all these ene
rgy components can be either attractive or repulsive according to the
geometry. E(nonadd)(deloc) is often seriously different of E(nonadd)(i
nd), a nonadditive ''induction-exchange'' term being sometimes as larg
e as E(nonadd)(ind). In most cases, this ''induction-exchange'' term i
s much larger than E(nonadd)(1st), with the same sign. This Suggests t
hat these two terms can be approximated by a same expression, but beca
use of the sign, more than one exponential term should be used. An app
roximation of E(nonadd)(ind) is discussed with a particular attention
to the range of the validity according to the intermolecular distances
.