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Electron magnetic resonance in the time domain has been greatly facilitated by the introduction of novel resonance structures and better computational tools, such as the increasingly widespread use of density-matrix formalism. This second v- ume in our series, devoted both to instrumentation and computation, addresses - plications and advances in the analysis of spin relaxation time measurements. Chapters 1 deals with the important problem of measuring spin relaxation times over a broad temporal range. The author, Dr. Sushil Misra, has worked on a wide variety of solutions to problems in this area, with respect to both experimental and theoretical aspects, and Chapter 1 summarizes much of his recent work, which was enhanced by a fruitful collaboration with the late Professor Jacques Pescia. Chapter 2 presents solutions to the problem of measuring short spin relaxation times. Again, in collaboration and tribute to the late Jacques Pescia's laboratory, part of the chapter represents a translation of the amplitude modulation technique section from a doctoral thesis by Robert Lopez in 1993 to The Paul Sabatier U- versity. Experimental data that appeared in the original thesis are placed at the end of subsections that correspond to the described technique. Chapter 3 takes up the problem of multi-frequency ENDOR and ESEEM, and illustrates how small stepwise increments of spectrometer operating parameters can enable one to better determine spin-Hamiltonian parameters via a graphical analysis.