  The quantization of energy levels in very nanoparticles suppresses
dissipative processes that convert grain rotational kinetic energy into heat.
For grains small enough to have GHz rotation rates, the suppression of
dissipation can be extreme. As a result, alignment of such grains is
suppressed. This applies both to alignment of the grain body with its angular
momentum J, and to alignment of J with the local magnetic field B_0. If the
anomalous microwave emission is rotational emission from spinning grains, it
will be negligibly polarized at GHz frequencies, with P < 10^{-6} at
frequencies above 10 GHz.
