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The relative contributions of the magnetic dipole interaction (M1) and the electric quadrupole interaction (E2) in the dipole-forbidden three-wave process of mixing two-colour radiation in free atoms may be determined from the dependence of the frequency-conversion efficiency on the incident-wave polarization. Analytical expressions are derived for the polarization dependence of amplitudes and cross sections of a double-resonant scattering of the sum- and difference-frequency photons. Numerical estimates are presented for the ratio of E2 and M1 three-photon amplitudes in ground-state indium and thallium atoms.

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The polarization dependence of a two-colour frequency mixing in free atoms may be used for determining the ratio of E2/M1 contributions to an amplitude of a dipole-forbidden radiation transition. The details are presented for Indium and Thallium atoms where this ratio represents an important quantity determining parity nonconservation effects on atomic optical spectrum.