We report on grain growth and related structure change in single phased Al-
Li-Cu quasicrystals. The icosahedral phase grains have been investigated us
ing scanning ion microscopy and transmission electron microscopy. Regular b
oundaries between large grains have been observed both before and after hig
h temperature annealing. The electron diffraction study shows that the grai
n growth is accompanied by a reduction of the phason-strains. The orientati
on relation between grains sets the 2-fold icosahedral axes parallel, and t
he coincidence of the planes depends on the phason strain-field. The effect
of phason-strain field on these boundaries is discussed. It is proposed th
at the phason strain elimination can play a role in the grain growth.