  We compute the spin excess for the neutrinos radiated in the process of
electron capture beta decay of partially polarized nuclei. The results of
computation are presented for the $^{119}$Sb nuclei polarized by the strong
hyperfine field in a ferromagnetic substance. This system was suggested as a
possible source of directed neutrino radiation. We directly compute the spin
excess of radiated neutrinos and show that it is greater than that estimated
previously under simplifying assumptions.
