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The interaction of standard model's particles with the axionic Dark Matterfield may generate oscillating nuclear electric dipole moments (EDMs),oscillating nuclear Schiff moments and oscillating nuclear magnetic quadrupolemoments (MQMs) with a frequency corresponding to the axion's Compton frequency.Within an atom or a molecule an oscillating EDM, Schiff moment or MQM can drivetransitions between atomic or molecular states. The excitation events can bedetected, for example, via subsequent fluorescence or photoionization. Here wecalculate the rates of such transitions. If the nucleus has octupoledeformation or quadrupole deformation then the transition rate due to Schiffmoment and MQM can be up to $10^{-16}$ transition per molecule per year. Inaddition, an MQM-induced transition may be of M2-type, which is useful for theelimination of background noise since M2-type transitions are suppressed forphotons.

Atomic and molecular transitions induced by axions via oscillating nuclear moments