The $g$ factors for $J=1$, $F=3/2$, $|M_F|=3/2$ hyperfine levels of the electronic ground state ${}^3\mathrm{\Delta }_1$ of the ${}^{232}\mathrm{ThF}^{+}$ cation were calculated as functions of the external electric field. These calculations were performed by diagonalizing the molecular Hamiltonian in the presence of the external electric field. The necessary matrix elements of the Hamiltonian were obtained by combining existing experimental data with ab initio calculations within the relativistic coupled-cluster theory. The calculated $g$-factor difference, $\mathrm{\Delta }g=2.3\times {10}^{-4}$, for the $\mathrm{\Omega }$ doublets is in good agreement with the experimental value $\left|\mathrm{\Delta }g\right|=3\left(3\right)\times {10}^{-4}$ [K. B. Ng et al., Phys. Rev. A 105, 022823 (2022)]. These calculations were used to analyze systematic effects and to develop methods for their suppression in the experiment aimed at searching for the electron electric dipole moment.

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• Electronic transitions
• Rotational states
• Zeeman effect
• Molecules