X-ray-diffraction experiments under high-pressure conditions were performed
on two high-order approximant phases of the icosahedral Al-Cu-Fe quasicrys
tal. The rhombohedral and pentagonal samples were compressed under quasihyd
rostatic conditions up to 35 GPa. We did not observe clear evidence for str
uctural transformation in either sample. The most prominent feature observe
d was a broadening of the Bragg peaks with increasing pressure. This behavi
or has been compared with the one exhibited by the parent related structure
(i-Al-Cu-Fe) and by a low-order cubic approximant structure (a-Al-Cu-Fe-Si
). The modifications in the diffraction patterns are preserved after pressu
re release. The peak broadening has been related with the development of a
particular phason-strain field. This kind of interaction is explained with
the help of group-theoretical arguments proposed by Ishii. [S0163-1829(98)0
9037-7].