Study the temperature dependence of resistivity of high purity aluminum fine showed that up to temperatures of 10-12K a mechanism of electron scattering at grain boundaries dominates the electron-dislocation scattering, then the effect is suppressed by electron-phonon scattering. Analysis of the results of the first studies show that the problem of producing and studying fine (in the limit of nanocrystalline) of pure metals is relevant to a winding giperprovodyaschih cryogenic electromagnetic systems.