Free-inducation-decay measurements and determination of moments in CaF2

Abstract

The results of measurements of ${\mathrm{F}}^{19}$ free-induction-decay (fid) signals in Ca${\mathrm{F}}_2$ are presented. The measurements were performed at 4.2 and 77 K using conventional pulsed-nuclear-magnetic-resonance and zero-time-resolution techniques. The recorded signals spanned four orders of magnitudes and permitted a direct comparison with various theoretical predictions for the asymptotic behavior of the fid signals for long times. A function was constructed, based upon the theory of infinite products, that fitted the experimental data over its entire range. Second through 14th moments of the corresponding absorption line were derived from the fitted function and were found to be in excellent agreement with theoretical values for second through eighth moments, the only values published until now.