A theory for nonradiative decay of molecular-held-split states is pres
ented. It is shown that the relative inner-shell sublevel cross sectio
ns for Auger transitions are sensitively dependent on the matching of
spin-orbit and molecular-field interactions. This can lead to suppress
ion of particular sublevel Auger transitions and to a breakdown of the
constant core-hole lifetime approximation. The investigated effects a
re caused by-a strong dependence of the Auger intensity on the mutual
local space orientation of initial- and final-state orbitals. These fe
atures are illustrated for S 2p (L(II,III)VV) Auger spectra of H2S, an
d explain the apparent mismatch of 2p spin-orbit energies observed in
Auger and photoelectron spectra of this molecule.