A GENERALIZED SOLOMON-BLOEMBERGEN-MORGAN THEORY FOR ARBITRARY ELECTRON-SPIN QUANTUM NUMBER-S - THE DIPOLE-DIPOLE COUPLING BETWEEN A NUCLEAR-SPIN I=1 2 AND AN ELECTRON-SPIN SYSTEM S=5/2/
Po. Westlund, A GENERALIZED SOLOMON-BLOEMBERGEN-MORGAN THEORY FOR ARBITRARY ELECTRON-SPIN QUANTUM NUMBER-S - THE DIPOLE-DIPOLE COUPLING BETWEEN A NUCLEAR-SPIN I=1 2 AND AN ELECTRON-SPIN SYSTEM S=5/2/, Molecular physics, 85(6), 1995, pp. 1165-1178
The modified Solomon-Bloembergen and Morgan theory has been generalize
d to systems of arbitrary electron spin quantum number and non-extreme
narrowing conditions. The effects of multi-exponential electron spin
relaxation give rise to a correction term which can generally be deriv
ed in closed analytical form. However, only the spectral density at ze
ro electron spin resonance frequency has a noticeable correction value
due to multi-exponential electron spin relaxation. For S = 5/2, the m
aximum value of the correction term for the paramagnetically enhanced
nuclear spin-lattice relaxation rate is 5.4% and for nuclear spin-spin
relaxation 6.3%. It is therefore likely that the influence of multi-e
xponential electron spin relaxation on water 1H T-1 NMRD profiles is,
within the accuracy of the experimental measurements, difficult to obs
erve.