We report on a very low temperature heat capacity investigation of an icosa
hedral Al-Pd-Re sample which, from resistivity measurements, is believed to
lie on the insulating side of a metal-insulator (M-I) transition. Our main
results are: (i) The electronic contribution, which possibly obeys a gamma
T variation above 1 K, follows a power T-a law (a approximate to0.1) below
1 K, in agreement with early results obtained for systems crossing the M-I
transition. Here T denotes the absolute temperature. (ii) The large nuclear
hyperfine contribution of quadrupolar origin, dominant below 300 mK, can o
nly be due to the Re nuclei. We reach this conclusion from a comparative st
udy of icosahedral Al-Cu-Fe and Al-Pd-Mn quasicrystals. In addition, from t
he study of the thermal relaxation of the sample after a heat pulse, we are
able to estimate the relaxation times T-1 of the different kinds of nuclei
, for those which relax during our experimental time span. (iii) We finally
propose a microscopic origin of the quadrupolar-electric field-gradient on
the nuclei in terms of local electronic density and atomic structure. (C)
2000 Elsevier Science B.V. All rights reserved.