Analytical solutions for spin 7/2 line intensities in solid state NMR

Developments in computer algebra have prompted us to reconsider earlier, intractable problems. Here the density matrix of spin 7/2 subject to the first order quadrupolar interaction and excited by a RF pulse is calculated ignoring rapidly oscillating terms. The results are studied for a variety of conditions which scale as the ratio of the quadrupolar coupling constant to the RF pulse amplitude. The line intensities of the central and satellite transition are also investigated.