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In dynamic nuclear polarization (DNP) experiments, the compound is drivenout-of-equilibrium by microwave (MW) irradiation of the radical electron spins.Their stationary state has been recently probed via electron double resonance(ELDOR) techniques showing, at low temperature, a broad depolarization of theelectron paramagnetic resonance (EPR) spectrum under microwave irradiation. Inthis theoretical manuscript, we develop a numerical method to compute exactlythe EPR spectrum in presence of dipolar interactions. Our results reproduce theobserved broad depolarisation and provide a microscopic justification forspectral diffusion mechanism. We show the validity of the spin-temperatureapproach for typical radical concentration used in dissolution DNP protocols.In particular once the interactions are properly taken into account, thespin-temperature is consistent with the non-monotonic behavior of the EPRspectrum with a wide minimum around the irradiated frequency.

Evidences of spin-temperature in Dynamic Nuclear Polarization: an exact computation of the EPR spectrum