In multiple-quantum magic-angle-spinning (MQMAS) NMR experiments, ithas been argued that one should use as strong rf irradiation as possible in most situations so as to attain the better sensitivity. In this work, we theoretically derive formulas for the efficiency of MQMAS experiments for spin 3 2 nuclei under strong rf irradiation, and experimentally examine the validity of the derived formulas. For this purpose, a microcoil was accommodated to magic-angle-spinning (MAS) experiments by developing a microcoil-based, coin-sized probe, which is attachable to an existing MAS module. The rf intensity of up to $1 MHz was realized, and the efficiencies of multiple-quantum (MQ)-excitation and conversion were studied for the 23 Na (I 5 3/2) nucleus in a polycrystalline sample of sodium sulfite, from which the theoretical formulas were confirmed. Moreover, it was found that the effect of rf inhomogeneity is significant for MQ-excitation when rf irradiation is strong, while it is not appreciable for MQ to single-quantum conversion. From the insight into the MQ-excitation and conversion processes, the optimal set of rf intensity and pulse width is proposed for a given quadrupolar coupling constant.