A quantum mechanical theory of the effects of a uniform electric held
on electron-spin-resonance hyperfine couplings is presented. The elect
ric-field effects are described in terms of perturbation coefficients
which can be used to probe the local symmetry as well as the strength
of the electric field at paramagnetic sites in a solid. Results are pr
esented for the first-order perturbation coefficients describing the B
loembergen effect (linear electric-field effect on hyperfine coupling
tensor) for the O atom and the OH radical.