  We consider the simplest extension of the standard electroweak model by one
sterile neutrino that allows for neutrino masses and mixing. We find that its
leptonic sector contains much less free physical parameters than previously
realized. In addition to the two neutrino masses, the lepton mixing matrix in
charged current interactions involves (n-1) free physical mixing angles for n
generations. The mixing matrix in neutral current interactions of neutrinos is
completely fixed by the two masses. Both interactions conserve CP. We
illustrate the phenomenological implications of the model by vacuum neutrino
oscillations, tritium beta decay and neutrinoless double beta decay. It turns
out that, due to the revealed specific structure in its mixing matrix, the
model with any n generations cannot accommodate simultaneously the data by
KamLAND, K2K and CHOOZ.
