A phenomenological description of electron paramagnetic double-resonance relaxation of organic free radicals in solution. I. Theory of ENDOR based on the spin-population number method.
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ENDOR enhancement is phenomenologically described, applying the method of Lloyde and Pake. Emphasis is placed on the effect of incomplete hf separation. It is shown that fractional ENDOR enhancement can approximately be expressed as the product of that which Freed has formulated when the effect is absent, and an modified Allendoerfer-Maki type correlation, <I>T</I><SUB>2e</SUB><SUP>2</SUP>Δω<SUP>2</SUP>⁄(<I>c</I>+<I>T</I><SUB>2e</SUB><SUP>2</SUP>Δω<SUP>2</SUP>), where <I>c</I> is a constant dependent on the microwave power. Also, a simplified method is proposed for calculating the fractional ENDOR enhancement for a multilevel system consisting of several sets of equivalent protons, when <I>W</I><SUB>n</SUB><<<I>W</I><SUB>e</SUB>, and it is proven that the week rf power irradiated leads to an ENDOR enhancement proportional to the number of equivalent protons, in the absence of the effect of incomplete hf separation.
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