The electron-spin g shifts (magnetic moments μS) of X2Σ+(1π43σ) radicals MX(±) with nine valence electrons
are calculated at their equilibrium geometries, using second-order perturbation theory, a Hamiltonian based
on Breit−Pauli theory, and correlated (MRCI) wave functions. Eighteen diatomics have been studied: BeF,
BeO-, BeCl, MgF, MgO-, and MgCl (class I); BF+, BCl+, AlF+, and AlCl+ (class II); and BO, BN-, BS,
BP-, AlO, AlN-, AlS, and AlP- (class III). Most radicals have small Δg
∥ values (≈−100 ppm) and large
negative Δg
⊥ values (−800 to −8500 ppm), except for AlN- and AlP-, which have positive Δg
⊥ values
(1400 and 10 000 ppm) due to the quasi-degeneracy X2Σ+/12Πi. The sum-over-states expansions for Δg
⊥ are
dominated in classes I and II by the coupling with 12Πr, and in class III with both 12Πi and 22Πr. The
2Πr(3σ→2π) state always contributes negatively, whereas 2Πi(1π→3σ) contributes positively for most radicals
but negatively for the boron series BO, BN-, BS, and BP-. Experimental g shifts, which are available for
eight of the radicals studied here, are generally well reproduced by the Δg values calculated at R
e. However,
for radicals having a very-low-lying 12Πi state, such as AlN- and AlP-, our study suggests that future
calculations should include vibrational averaging to describe the (unknown) experimental data correctly.
Theoretical and experimental g
⊥ shifts are compared with those estimated from spin−rotation coupling constants
γ, via Curl's equation.