Relaxation Effects for Coupled Nuclear Spins

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Abstract
Nuclear relaxation effects in molecules containing several coupled spins are treated by a generalization of the method of Wangsness and Bloch. Variations in line shape and structure for two coupled spin-½ nuclei as various parameters are changed from one extreme to another are derived and plotted graphically. The calculation is continued to obtain an expression for the line shapes in the double-resonance experiment of Bloom and Shoolery. It is next shown that under certain circumstances the concept of "semimacroscopic magnetic moments" enables one to write the quantum-mechanical equations of motion in the form of coupled Bloch phenomological equations. In addition, a discussion of internal relaxation and the Overhauser effect is given.