Exotic Nuclear Excitations: The Transverse Wobbling Mode in 135 PrThe work presented in this thesis established the existence of wobbling at low spin and low deformation in the Z~60, N~76 nuclear region. This opens the region to further searches for wobbling and shows that wobbling is not confined to a particular quasiparticle orbital, spin or deformation. While deformed nuclei usually have axial shape, triaxial shapes have been predicted at low to moderate spins in certain regions of the nuclear chart (e. g. Z~60,