  Nuclear deformation effects are theoretically investigated in terms of
deformation corrections of the electronic binding and transition energies, $g$
factor, and hyperfine splitting constant. By solving the Dirac equation twice,
with the nuclear potential calculated from Fermi and deformed Fermi nuclear
density distributions, we separate the deformation effect in binding energies
and wavefunctions. The parameters for both models are determined from
experimental data. The considered corrections are of interest for spectral
analysis and are numerically calculated for the widest possible range of
nuclei, consisting over 1100 different samples. The subtleties between
different sources of measured data and the corresponding results are discussed.
In addition, the importance of deformation effects for the search of new
physics with singly-charged ions is examined.
