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The NMR response of an isolated spin-3/2 system with an axially symmetric quadrupolar interaction under magic-angle sample spinning to an ideal radio-frequency pulse using irreducible tensor operators is evaluated analytically. The excited single-quantum spin coherences are modulated by the sample spinning. The effects of spinning frequency, quadrupole coupling constant and the orientation of quadrupolar interaction relative to rotor axis on the spinning-side-band patterns are simulated. High-resolution single-quantum spinning-side-band pattern detected for Na-23 (I = 3/2) nuclei in sodium nitrate powder is compared with the simulation based on the theory and the quadrupole coupling is estimated.

Single-Quantum NMR Spinning-Side-Band Patterns for Spin-3/2 System