Cj. Cramer et Mh. Lim, EFFICIENT PREDICTION OF ISOTROPIC HYPERFINE COUPLING IN RADICALS CONTAINING PHOSPHORUS - A SYSTEMATIC COMPARISON OF UHF, PUHF, AND UMP2 SPIN-DENSITIES, Journal of physical chemistry, 98(19), 1994, pp. 5024-5033
Isotropic hyperfine couplings have been calculated and compared to exp
eriment for 25 radicals containing phosphorus using the 6-311G* basis
set. At HF/6-31G* optimized geometries, Fermi contact integrals deri
ved from UMP2 spin-density matrices give the best correlation with exp
eriment (20 data points for P-31, 8 data points for F-19, 7 data point
s for Cl-35, and 5 data points for H-1 hyperfine couplings, rms error
of 22.9 G with the data spanning a range of about 1650 G); PUHF spin-d
ensity matrices are somewhat less useful (rms error of 33.6 G), and ca
lculation at the UHF level gives poor results (rms error of 45.6 G). H
yperfine couplings calculated at the UMP2 level may be scaled by 102%
to bring them into closer agreement with experiment. Even though geome
tric changes on going to the MP2 level may be sizable, better correlat
ion with experiment is obtained when HF/6-31G* optimized geometries a
re used instead of MP2/6-31G* optimized geometries (rms error of 36.1
G). Including diffuse functions in the calculation of the hyperfine c
ouplings for anionic radicals has in general only marginal effect. Sta
tistical trends within specific subsets of the data are also discussed
.