  We show that the energy-level splitting arising from grain rotation ensures
that paramagnetic dissipation acts at its maximum rate, i.e., the conditions
for paramagnetic resonance are automatically fulfilled. We refer to this
process as ``resonance relaxation''. The differences between the predictions of
classical Davis-Greenstein relaxation and resonance relaxation are most
pronounced for grains rotating faster than 1 GHz, i.e., in the domain where
classical paramagnetic relaxation is suppressed. This mechanism can partially
align even very small grains, resulting in linearly polarized microwave
emission which could interfere with efforts to measure the polarization of the
cosmic microwave background.
