MISSING-ORBITAL ANALYSIS OF MOLECULAR HYPERPOLARIZABILITY-BETA CALCULATED BY A SIMPLIFIED SUM-OVER-STATES METHOD - ENHANCEMENT OF THE OFF-DIAGONAL COMPONENT-BETA(ZXX)
M. Tomonari et al., MISSING-ORBITAL ANALYSIS OF MOLECULAR HYPERPOLARIZABILITY-BETA CALCULATED BY A SIMPLIFIED SUM-OVER-STATES METHOD - ENHANCEMENT OF THE OFF-DIAGONAL COMPONENT-BETA(ZXX), Chemical physics letters, 215(1-3), 1993, pp. 45-52
The off-diagonal component of the first-order hyperpolarizability tens
or beta(zxx) Of C2v molecules, e.g. substituted polyynes and benzenes,
has been calculated by a simplified sum-over-states method. The missi
ng-orbital analysis of the calculated results reveals that excitations
from a2 and b2 orbitals contribute cooperatively to beta(zxx), sugges
ting an insufficiency of the two-state model to describe beta(zxx). In
creasing the number of occupied a2 orbitals enhances the magnitude of
beta(zxx). For the C2v molecule with a2 orbitals widely extended in th
e x direction, beta(zxx) can exceed beta(zzz) as found in 9-amino-10-c
yanoanthracene having a beta(zxx) about twice as large as beta(zzz).