In recording spin resonance spectra, when the sample is excited by an RF-pulse in a homogeneous magnetic field for measurement and then all resonance frequencies of the sample are registered as an interferogram and evaluated, a pulse-excited magnetic field for measurement is used according to the invention. In this way, higher field strengths can be achieved for the magnetic field of measurement than has been possible before. These higher field strengths permit improved resolution of the fine structure of macromolecules. A spin resonance spectrometer suited for this method has an air-core coil for generation of the excited magnetic field and an energy source connected with the air-core coil which comprises devices for keeping constant the current flow in the coil for the duration of the respective pulse.