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The theme of the work is a study of isobaric analogue reson ances in heavy nuclei of the rare-earth region. After an introductory chapter describing the physical concepts associated with the analogue resonance phenomenon, the thesis is divided into two parts: part A which describes cross-section measurements of analogue resonances in elastic and inelastic proton scattering and part B which covers beam optics calculations which were performed in preparation for the use of the ANU polarised ion source for further analogue resonance studies. Unfortunately, experimental difficulties with the source have prevented any polarisation measurements through analogue resonances being carried out.

The low intensity fl+/E.C, branches in the decay of 45Ti to excited states of 45Sc have been reinvestigated in order to resolve discrepancies in reported branching ratios. A new branch to the 974 keV level, having an intensity of 9.9_+ 1.2 • 10-5/decay has been found. A previously reported branch to the 1237 keV level was found to be in error. The intensities for decay to the levels at 720, 1408 and 1661 keV levels were determined to be 154+ 12, 90.2_+9.7 and 52.5_+ 5.6, respectively, in units of 10 -5 per decay.

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