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This first issue of the second volume of the novel International Journal on Magnetic Particle Imaging (IJMPI) mainly focuses on two topics, magnetic nanoparticle spectroscopy and magnetic imaging methodology. A high potential of improvement of magnetic particle imaging (MPI) with respect to its sensitivity is seen in the optimization of tailored nanoparticles. However, even commercial particle systems available today are not fully understood. Therefore, spectroscopic approaches to characterize the particles are in the center of interest of many research groups. The second focus of this issue is on imaging methodology. This splits up into instrumentation, where efficient coil concepts for focus-field based measurements are demonstrated, and reconstruction mathematics, where sparse sensing concepts are applied to MPI image calculation.