AIN has been grown on the (0001) basal and (<1(1)over bar 00>) prism f
aces of 6H-SiC. High resolution transmission electron microscopy studi
es show that, despite the very different symmetries of these two subst
rate planes and their polar and nonpolar natures, the film/substrate o
rientation relationship is identical for both systems. It is shown tha
t this result is consistent with a geometrical method recently propose
d for determining the orientation relationship between two crystals in
a bicrystal.