  Due to a directional asymmetry of neutrino emission caused by parity
violation, a sample of radioactive atoms experiences a small recoil force from
neutrino radiation accompanying electron capture by polarized nuclei. An
expression for this force is obtained for the case of allowed nuclear
transitions. Prospects to measure this force by the use of modern
micromechanical devices are considered. Numerical estimates for the force are
presented for a number of most suitable radioactive isotopes. Potential
applications for the weak interaction studies are discussed including the
possibility to search for hypothetical Lorentz invariance violation.
