Jh. Rodriguez et al., DENSITY-FUNCTIONAL STUDIES OF A HEISENBERG SPIN-COUPLED CHROMIUM-SEMIQUINONE COMPLEX AND ITS CHROMIUM-CATECHOL ANALOG, Journal of the American Chemical Society, 120(46), 1998, pp. 12051-12068
The electronic structure of [Cr(tren)(3,6-DTBSQ)](2+), where tren is t
ris(2-aminoethyl)amine and 3,6-DTBSQ is 3, 6-di-tert-butylorthosemiqui
none, has been studied by self-consistent-field non-local gradient-cor
rected density functional theory. The results are consistent with a He
isenberg exchange formulation where a Cr(S = 3/2) ion is antiferromagn
etically coupled to the semiquinone(S = 1/2) giving rise to a S = 1 gr
ound state. Population analyses were carried out which show net alpha
and beta spin densities at the chromium ion and semiquinone, respectiv
ely. Some orbital interactions have been identified that allow partial
delocalization from the semiquinone toward the chromium ion giving ri
se to an antiparallel alignment of their electron spins. The isotropic
exchange constant J of the Heisenberg Hamiltonian H-ex = JS(1). S-2 h
as been determined from the self-consistent-field energies at the U-BL
YP/G-311* and U-B3LYP/6-311** levels and is consistent with previousl
y reported magnetic susceptibility data. The tripler state wave functi
on shows some spin contamination from the higher-lying quintet state,
Accordingly, approximate spin and energy projections were performed to
account for the quintet admixture. Some magneto-structural correlatio
ns between the Cr-O-SQ and O-SQ-C-SQ bond lengths and the magnitude of
J have also been investigated. It was found that J decays in a nearly
exponential fashion with increasing bond distances. The electronic st
ructure of the free semiquinone ligand has also been studied and corre
lated to its bonding with chromium, Finally, a single-crystal X-ray st
ructure of the related complex [Cr(tren)(3,6-DTBCat)](+) was obtained
and used to carry out similar self-consistent-field calculations, Anal
ysis of the quartet ground state wave function of the catecholate comp
lex produced spin densities consistent with a Cr(S = 3/2)-catechol(S =
0) formulation.