Raman spectra of D-2 in H2O and D2O, both liquid and ice, are presented. The results are compared to previous results on H-2 dissolved in water and in ice. The vibration-rotation bands shift from their gas-phase frequencies. The ratios (H-2/D-2) for both the shifts and the widths are about root 2, even though the shifts are in opposite directions in water and in ice, and a theoretical justification for this is given. The rotational bands of D-2 are more difficult to observe than the corresponding H-2 bands, and so a numerical procedure to extract these bands from the noise has been employed. The pure rotational bands of H-2 and D-2 are unshifted in the liquid and shifted only slightly, if at all, in the ices. The experimentally observed widths for the H-2 are reproduced by available simulations. The variation in the widths for D-2 with J are smaller than those for H-2 in both water and ice.