Perturbed angular distribution methods (PAD) following nuclear reactions were applied to relaxation phenomena of excited nuclear states in liquid Ga, In, InGa alloys, Te, Hg, Tl, and Pb. Due to the selection of excited states with small g-factors the quadrupole relaxation rate τQ-1 in these metals, except in Tl, could be observed as the dominant contribution to the total rate at lower temperatures. It is suggested that the τQ-1 rates in Ga, In, InGa and Hg are essentially due to the diffusion induced mechanism while the interpretation of τQ-1 in Pb and Te is more complicated. Further magnetic relaxation rates of isolated impurities are deduced for four systems and quadrupole moments of ms-states in 71Ge, 115Sn, 205Pb, and 206Pb are derived from the quadrupole relaxation rates.