Kl. Bak et al., AB-INITIO CALCULATION OF ELECTRONIC CIRCULAR-DICHROISM FOR TRANS-CYCLOOCTENE USING LONDON ATOMIC ORBITALS, Theoretica Chimica Acta, 90(5-6), 1995, pp. 441-458
The second-quantization magnetic dipole operator that arises when Lond
on atomic orbitals are used as basis functions is derived. In atomic u
nits, the magnetic dipole operator is defined as the negative of the f
irst derivative of the electronic Hamiltonian containing the interacti
on with the external magnetic field. It is shown that for finite basis
sets, the gauge origin dependence of the resulting magnetic dipole op
erator is analogous to that of the exact operator, and that the derive
d operator converges to the exact operator in the limit of a complete
basis set. It is also demonstrated that the length expression for the
rotatory strength in linear response calculations gives gauge-origin-i
ndependent results. Sample calculations on ti ans-cyclooctene and its
fragments are presented. Compared to conventional orbitals, the basis
set convergence of the rotatory strengths calculated in the length for
m using London atomic orbitals is favourable. The rotatory strength ca
lculated for trans-cyclooctene agrees nicely with the corresponding ex
perimental circular dichroism spectrum, but the spectra for the fragme
nt molecules show little resemblance with that of trans-cyclooctene.