The ratios of the Larmor frequencies of 25Mg and 37Cl and of 43Ca and 37Cl have been measured in aqueous solutions and nuclear magnetic moments are given for these nuclei in the hydrated ions. 25Mg and 43Ca chemical shifts have been investigated at natural abundance of these isotopes in solutions of the chlorides, bromides, nitrates, Perchlorates in H2O and D2O. The signal intensities are large enough to study within reasonable time these nuclei at natural abundance down to low concentrated solutions, e.g. 8 millimolal for 25Mg. For 25Mg very small chemical shifts have been observed whereas for 43Ca remarkable shifts to higher frequencies are found for halide solutions and to lower frequencies for the oxyanion solutions. Linewidths of only some Hz have been observed for both isotopes