Аннотация:A new method for performing a complete experiment in the case of the Auger decay is considered. The method assumes the LSJ-coupling approximation and is based on measurements of the relative intensities and the angular distribution of the Auger electrons. The method can be used for Auger transitions from states with nonvanishing spin S and orbital angular momentum L if the fine structure levels Jf of the final ionic state are resolved. As example, for the Auger decay
Na^+(2s 2p^6 4p ^3P) -> Na^{2+}(2s^2 2p^5 ^2P_{3/2}) + e_{Auger}
the absolute ratio of decay amplitudes and their relative phase are determined.