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Exact equations determining the positions of the longitudinal and transverse magnetic resonances of a doublet are derived. These equations are simply related. Analytical expressions for the Bloch-Siegert shift and the first three transverse resonances are given which apply over the whole range of RF field strengths with 1% accuracy. The expressions for the three quantum resonances are correct to 3%.
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S. Swain (1974) studied this question.
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