  A spatial-time method of description of alpha-decay of a nucleus is
presented. The method is based on the quantum mechanical model of the
alpha-decay of a compound nuclear system with the barrier. alpha-decay dynamics
is described on the basis of multiple internal reflections of wave packets from
boundaries of the decay barrier. The method allows to study this process in
details at any time moment or point of space. According to the method, some
time before the time moment of the nuclear decay the nucleus makes oscilations.
In the calculations of the time duration of the alpha-decay of the compound
nucleus we propose to take into account the time durations of these
oscillations. The method of the multiple internal reflections allows to
calculate the time of such oscillations before the alpha-decay and the total
alpha-decay time.
