The spin-locking mechanism of the spin I = 3/2 quadrupolar nuclei under mag
ic angle spinning (MAS) has been theoretically and experimentally investiga
ted, and the criterion of adiabatic passage around zero-crossings of the qu
adrupole splitting was inferred from the time-dependent Shrodinger equation
in this article. The theory, numerical simulations, and experiments conduc
ted in this work all indicated that second-order quadrupole interaction and
off-resonance play important roles in the spin-locking of the quadrupolar
nuclei, and they were responsible for the great loss of the spin-locking si
gnals. The spin-locking for a spin I = 3/2 nucleus might be achieved by min
imizing the effect of the second-order quadrupole interaction by using a ra
dio frequency (RF) offset. This offset was realized by setting the RF to th
e opposite position of the isotropic second-order quadrupolar shift of sing
le quantum coherences. (C) 2000 Elsevier Science B.V. All rights reserved.