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New scheme of definition of g-factors as ground as excited optical states ofa paramagnetic ion in zero external constant magnetic field has been proposedand experimentally realized in optical systems in which Zeeman Effect ismanifested. A pulse of a weak magnetic field leads to occurrence of relativephase shifts of the excited dipoles and, as consequence, to modulation of aphoton echo waveform if magnetic pulse (MP) overlaps in time with echo-pulse.The modulation periods of the waveform depend on polarization of the laserlight, which excites the photon echo. The values of these periods for {\sigma}-and {\pi}- laser light polarization have been measured and then the g-factorsof the ground 4I15/2 and excited 4F9/2 states of the Er3+ ion in the LuLiF4 andthe YLiF4 matrices have been determined. Values of the g-factors have beencompared with the known literary data.

Measurement of g-factors of ground and excited optical states of Er3+ in YLiF4 and LuLiF4 in zero dc magnetic field by photon echo method