A method for performing magnetic resonance spectroscopy on solid samples containing nuclei of interest with spin quantum number I subjects the sample to a static magnetic field. The sample is spun at the magic angle and broad-band excitation of transverse magnetization of the nuclei of interest is effected by applying a first train of rotor-synchronized rf-pulses, having a carrier frequency, to the nuclei of interest with a pulse duration 0.1 μs 1. Uniform excitation of a great number of spinning sidebands or families of sidebands that arise from large first-order quadrupole or hyperfine interactions is enabled and signal intensity is thereby improved.