This thesis is concerned with investigations of two largely dissimilar problems, which are treated in separate Parts. In Part I, uranium-lead studies of five pitchblende specimens from four localities in Cornwall are described. Chemical analysis for uranium in the pitchblendes was effected by chromatographic separation on a cellulose column, followed by gravimetric finish as the oxide. For lead, a dithizone separation was used, followed by gravimetric finish as the sulphate. Dithizone-separated lead was precipitated as lead sulphide for mass spectrometric analysis. The mass spectrometer used throughout this work was a Metropolitan-Vickers Type MS 5 instrument with 12 in. radius, 90° analyser tube, using volatilization of solid lead sulphide...