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A Hamilton operator of the form
is applied. In the following, the individual terms and their
parametrization are explained in short; details can be taken from the given
literature.
- The ligand field is put up in the framework of
the Angular Overlap Model which is further described in
section B.1. For each ligand, the user supplies the
AOM parameters , and (eventually
and ) as well as the spatial oriention
in form of Eulerian angles , and (optional) or
as a cartesian coordinate triple (x, y, z).
The angle is relevant only in case of anisotropic
-interaction ( ), if required, it can be
calculated by the program through a plane to be supplied by the
user. Particularly in square planar complexes, the energetic effect
of a mixing in of the (n+1)s orbital becomes important and can be
covered through a parameter (see page
). In chelate ligands with conjugated
-electron system, the possibility exists to allow for the phase
coupling between the orbitals of the coordinating atoms of the
chelate; the AOM model then works with two parameters,
und (p.).
- The operator of electron
repulsion is modeled through Racah parameters A, B and C.
The lowering of d electron interaction which is a consequence of
electron delocalization in the complex that generally occurs to a
different extent in the individual d orbitals, can be allowed for
through orbital reduction factors . The general
electron repulsion matrix element then takes the form
(see [4, 9]).
- The spin-orbit coupling operator
has the form with the
parameter . Spatial anisotropy of orbital momentum is
introduced by the ansatz , and
with parameters .[2]
- An external magnetic field is
described by the operator . Here, too, anisotropy can be accounted
for through parameters .
- The Trees correction is
a two-electron correction of the form (see
[5] and [1]) with the Trees parameter
.
Next: Symmetry
Up: Program features of AOMX
Previous: Program features of AOMX
Heribert Adamsky
Sat Sep 14 16:23:16 MET DST 1996