The attached notebook shows how to calculate the spectrum of a spin-7/2 nucleus (for example 133Cs) in an oriented medium, such as a gel (see for example P. W. Kuchel, "Quadrupolar Splitting in Stretched Hydrogels," in "eMagRes," Ed. (John Wiley & Sons, Ltd, 2007)). The EnsembleAverage function is used to generated a spread in quadrupolar interactions, corresponding to gel inhomogeneity. A simulation shows that a two-pulse sequence generates a series of quadrupolar echoes with curious fractional timings, as predicted in a very old paper by Solomon (I. Solomon, "Multiple Echoes in Solids," Phys. Rev. 110, 61 (1958)).