Abstract
We calculate effects on T1(H) for nuclear spins due to several distinct interactions that depend on the quadrupole moment of the nuclear spins. We find, for example, that in metals the ratio T1(H)T1(0) can be greater than 2 because of quadrupolar spin-spin interactions even in the absence of electric field gradients. We also show that T1(H) can depend on the spin I of a nucleus if T1 is dominated by certain dynamic quadrupolar mechanisms.