Second-Order Nuclear Dipolar Contribution to Second Moment of Integer Spins

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Abstract
A formula has been derived for the second-order contribution of the dipolar broadening to the second moment of the resonance lines in pure quadrupole resonance experiments. The following assumptions have been made: The nuclei undergoing the resonant transitions have spin ½; all resonant spins experience the same electric-field gradient which has a small amount of axial asymmetry; the dipolar interaction strength is small compared with the separation of the two resonance lines.