  Results of a study of the possibilities to reduce the low amplitude "tail" of
the response characteristic of various electron detectors are presented. The
main reason of such attribute of all detectors used in electron epectrometry is
the energy of several hundreds KeV taken by the backscattered electrons. A
simple method of rejecting the events when the electrons are backscattered -
the use of a second -"veto" - detector in anticoincidences with the main
detector was investigated. The low amplitude "tail" in the response curve could
be reduced by a factor of 3 - 4 . The remaining effect - about 1% of the
integral has yet no explanation. Additional experiments showed that only
\~0.2-0.3% can be related to bremmsstrahlung. The significance of this effect
in the study of angular correlations in neutron beta decay was analyzed too
with the help of a simplified computer model. As a result, we propose a method
of calculating appropriate corrections which promise to reduce the systematic
uncertainty in the measurement of the "a" correlation coefficient which going
to be carried out in the near future.
