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In this section details are given on the matrix elements
needed for the evaluation of the g-tensor. We start with a
formulation, which uses a single gauge origin for the magnetic
field¡£This formulation uses basis functions which do
not depend on the external magnetic field. The results for the
calculation of the g-values will depend on the gauge origin
chosen for the magnetic field£¬if one uses a finite basis set.
This problem of gauge dependence in a finite basis is solved
in Sec. IV B by the use of gauge including atomic basis
functions ~GIAO¡¯s!.
It is shown that if one starts with exact eigenfunctions of
the Hamiltonian without magnetic field, there is no gauge
dependence of the results, and that the formulation using a
single gauge origin will then coincide with the formulation
using GIAO¡¯s.
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