Stark shift of molecular transition frequencies in a resonant optical field

Theoretical formulas are derived for the Stark shift of molecular transition frequencies in a resonant optical field. The formulas are obtained for one-photon vibrational-rotational and electronic transitions and for twophoton vibrational-rotational transitions. The influence of the hyperfine splitting on the Stark frequency shift is considered. Numerical estimates are obtained for the frequency shift of transitions in CO, HCl, CH₄, and I₂ molecules in a resonant optical field.