Line Shape Analysis of Spin Echo Signals in Cubic Solids

Abstract

Abstract In the case of static magnetic dipolar and electric quadrupolar interactions (inhomogenous broadening) the dependency of the spin echo height at time t = 2τ after a π/2-τ-β pulse sequence on the rotation angle ß of the second rf-pulse is calculated for the spins I=3/2, 5/2, 7/2, 9/2. For each spin I an optimum rotation angle βopt is found out for which the spin echo signal has a maxi­mum. From the measured spin echo lineshape the distribution function of the quadrupole distortion in a solid can be determined. The mean quadrupole distortion can be obtained from the echo width. Detailed calculations in the case of Gaussian and Lorentzian distribution functions are presented.