Sm. Cybulski et Dm. Bishop, CALCULATION OF MAGNETIC-PROPERTIES .6. ELECTRON CORRELATED NUCLEAR SHIELDING CONSTANTS AND MAGNETIZABILITIES FOR 13 SMALL MOLECULES, The Journal of chemical physics, 106(10), 1997, pp. 4082-4090
The theory of relaxed density matrices has been developed for the calc
ulation of second-order response properties at third-order Moller-Ples
set (MP3) and linearized coupled cluster double excitation (L-CCD) lev
els of theory. The ensuing algorithm is applied to the determination o
f the isotropic and anisotropic nuclear magnetic shielding constants a
nd magnetizabilities for thirteen molecules (H-2, N-2, F-2, HF, CO, KC
N, HNC, H2O, NH3, H2O(2), HCHO, CH4, and HCCH). The method uses conven
tional gauge-variant orbitals but, by using large basis sets, produces
results which are equivalent to those found with gauge-including orbi
tals. In general the L-CCD values of the manetizabilities are consiste
nt with those obtained with multiconfigurational self-consistent-field
(MCSCF) methods for molecules which have been treated by this method.
For the nuclear shieldings, when there is a difference between L-CCD
and MP3, the former gives results closer to the coupled-cluster single
s and doubles level treatment augmented with a perturbation correction
for connected triple excitations [CCSD(T)] which is our reference poi
nt. Again the results for the shieldings at the L-CCD level are quite
good. We also use the paramagnetic components of the shieldings and ma
gnetizabilities to determine the spin-rotation constants and rotationa
l g tensors, respectively. These quantities are important since they m
ay be compared more directly with experiment than the magnetizabilitie
s and shieldings. (C) 1997 American Institute of Physics.