It is of considerable interest to the experimental nuclear spectroscopist to know accurately the description of energy levels in nuclei. Also of considerable interest is the nature of the radiations or particles emitted when an excited nucleus decays from an excited state to its ground state. This interest in the level structure of nuclei arises from the fact that level structure and modes of radioactive decay both serve as experimental verification for the theories describing nuclear matter. At the present time the experimental determination of the levels and decay schemes of all nuclei is far from complete. With the hope of adding to the existing knowledge of the levels and decay schemes of nuclei, a study of the low energy gamma-radiation emitted frost the low-lying states of Si30, P30 and Th232 made. The results of this investigation are reported and discussed in this thesis.