Proton Relaxation in Mn(2+) Solutions. Effect of Hyperfine Coupling. Theory I,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH
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An extension of the usual Redfield relaxation-matrix theory is derived. It is shown that the effect of superfine coupling is generally significant. In the calculation of the proton relaxation in bivalent manganese cation solutions, the deviations may be as high as 50. Measurements in the 100 kilocycle to 1 megacycle per second range are of no value since the usual equations do not apply, nor is it possible to derive an exact theory for such results. Expressions are developed for the proton relaxation times in solutions of paramagnetic ions. The effects of the paramagnetic ions on the proton relaxation are described in terms of the relaxation function of the electron spin, which may be determined by electron spin resonance tests or by theoretical means. The relaxation function for the manganese ions is calculated in weak fields by employing the spin-Hamilton operator, which includes the Zeeman energy, superfine coupling, and zero field splitting. Similar effects are to be expected for all paramagnetic ions that show a well resolved superfine splitting in solution.
- Atomic and Molecular Physics and Spectroscopy