The NMR response of an isolated spin-3/2 system with an axially symmet
ric quadrupolar interaction under magic-angle sample spinning to an id
eal radio-frequency pulse using irreducible tensor operators is evalua
ted analytically. The excited single-quantum spin coherences are modul
ated by the sample spinning. The effects of spinning frequency, quadru
pole coupling constant and the orientation of quadrupolar interaction
relative to rotor axis on the spinning-side-band patterns are simulate
d. High-resolution single-quantum spinning-side-band pattern detected
for Na-23 (I = 3/2) nuclei in sodium nitrate powder is compared with t
he simulation based on the theory and the quadrupole coupling is estim
ated.