Abstract
The energy shifts due to interactions violating time-reversal invariance and parity symmetry, $g$ factors, and energies for the hyperfine levels of the ground rotational level of the $^{3}\mathrm{\ensuremath{\Delta}}_{1}$ electronic state of the $^{177}\mathrm{Hf}^{19}\mathrm{F}^{+}$ ion are calculated as functions of the external electric and magnetic fields. The calculations can be used to plan an experiment to measure the magnetic quadrupole moment of the $^{177}\mathrm{Hf}$ nucleus and to interpret the obtained data.
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