The energy splittings for J=1, F=3/2, |mF|=3/2 hyperfine levels of the 3Δ1 electronic state of Hf180F+19 ion are calculated as functions of the external variable electric and magnetic fields within two approaches. In the first one, the transition to the rotating frame is performed, whereas in the second approach, the quantization of rotating electromagnetic field is performed. Calculations are required for understanding possible systematic errors in the experiment to search for the electron electric dipole moment (eEDM) with the Hf180F+19 ion.