Thermal expansion measurements have been performed by X-ray diffractometry
on icosahedral Al-Pd-Mn (i-(Al-Pd-Mn)) in the temperature range between 10
and 700 K and on decagonal Al-Cu-Co (d-(Al-Cu-Co)) in the range between 100
and 750 K. The linear thermal expansion coefficient alpha(T) of i-(Al-Pd-M
n) is about half of that for the pure aluminium phase at room temperature a
nd does not show a negative thermal expansion at low temperatures. The degr
ee of anisotropy in the thermal expansion of d-(Al-Cu-Co) is small; the rat
io of the average a between the tenfold periodic direction and a quasiperio
dic direction perpendicular to it is 0.93 +/- 0.05. The Gruneisen parameter
gamma(T) has been evaluated from the measured alpha(T). gamma for d-(Al-Cu
-Co) is almost isotropic, similar to alpha. The gamma values for the two ph
ases lie in the range between 1.5 and 1.8, which are comparable with those
for conventional metallic crystals. They are almost constant over the tempe
rature range studied.