We have performed theoretical calculations to describe the structure of nuclei at the extremes of stability, using the nonadiabatic quasiparticle approach. With this approach, for the first time clear evidence has been obtained for partial rotation alignment in a proton emitting nucleus (121Pr). Recent findings suggest the departure from axial deformation in the region of proton emitting nuclei. Our calculation for 145Tm, giving the energy spectra of parent and daughter nuclei, half-life and fine structure, confirmed a large triaxiality. Similarly, we have studied decay of 141Ho, the only known nucleus for which fine structure in proton emission from both ground and isomeric states was observed. The interpretation of the data pointed out to the breaking of axial symmetry in this nucleus as well. The present studies provide new and precise theoretical tools to access nuclear structure properties far from the stability domain.