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According to the Schiff theorem nuclear electric dipole moment (EDM) iscompletely shielded in a neutral atom by electrons. This makes a static nuclearelectric dipole moment (EDM) unobservable. Interaction with the axion darkmatter field generates nuclear EDM $d=d_0 \cos (\omega t)$ oscillating with thefrequency $\omega= m_a c^2/\hbar$ . This EDM generates atomic EDM proportionalto $\omega^2$. This effect is strongly enhanced in molecules since nuclei moveslowly and do not produce as efficient screening of oscillating nuclear EDM aselectrons do. An additional strong enhancement comes due to a small energyinterval between rotational molecular levels. Finally, if the nuclear EDMoscillation frequency is in resonance with a molecular transition, there may bea significant resonance enhancement.

Oscillating nuclear electric dipole moment induced by axion dark matter produces atomic and molecular EDM