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The work is devoted to the problem of multiple signals of nuclear spin echoesin magnets, excited by a series of radio-frequency (RF) arbitrary durationpulses exceeding the free induction decay time. The quantum-statisticalapproach based on the Liouville equation solution for the statistical operatorof system is developed for the investigation of echo-processes. The obtainedtheoretical results for the number of echo signals, time moments of theirformation and their intensities are in good agreement with experiments carriedout on magnets (ferrites, ferrometals, half metals, manganites). The pointedapproach is general and could be applied to EPR and NQR, which is interestingalso for its application for remote detection of explosives and narcotics. Theapplication of wide RF pulses and their sequences makes it possible toaccumulate weak signals, enriches the echo-response spectrum with clearlyseparated intensive lines, i.e. essentially increases the sensitivity ofapparatus and, correspondingly, the possibilities to explore the fine detailsof dynamical and relaxation processes taking place in nuclear spin-systems withsufficiently long relaxation times. The work contains also results of newexperiments on study of relaxation processes in these systems.

Formation mechanisms and relaxation of NMR spin-echo signals excited by two arbitrary duration radio-frequency pulses in magnets