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Abstract.: We calculate the event rates induced by high-intensity radioactive sources of (Cr) and of (Sr), to be located near the BOREXINO detector. Calculations are performed both in the standard case and assuming non-standard properties of neutrinos, including flavor oscillations, neutrino electromagnetic interactions, and deviations from the standard vector and axial couplings in the -e interaction. It is shown that, in some cases, the current limits on non-standard neutrino properties can be significantly improved.