The anomalous magnetoresistance in crystalline tellurium is analyzed for di
fferent p-type carrier dimensions: a bulk sample, size-quantized accumulati
on layers on different tellurium crystallographic surfaces, and tellurium c
lusters (tellurium embedded in a dielectric opal matrix). It is shown that
the effect can be interpreted in all cases in terms of the theory of weak l
ocalization of noninteracting particles with inclusion of the specific feat
ures of the tellurium band spectrum, namely, fully lifted spin degeneracy,
trigonal spectrum distortion, and a specific role played by the t symmetry
in inter-valley scattering. The differences observed among the various mani
festations of the weak localization effect are determined by the hole wave
function phase-relaxation channel which is dominant in a particular case. A
case is discussed where the time characterizing the inter-valley transitio
n probability becomes comparable to the momentum relaxation time. (C) 1999
American Institute of Physics. [S1063-7834(99)03105-6].