We have calculated the spin-orbit splittings of the top valence bands of Al
N, GaN and InN crystallized in the zinc blende structure, using the LMTO-LD
A method. Because of the large differences in the atomic splittings of cati
ons and anions, and the core d levels of Ga and In, these materials are ide
al to investigate anomalies in the valence band splittings. We have obtaine
d strong deviations from the Delta (1) similar or equal to (2/3)Delta (0) r
ule and extremely anomalous dependences of Delta (1) and Delta (0) on volum
e for GaN and InN. Such effects should also appear in the wurtzite counterp
arts of these nitride semiconductors. (C) 2000 Elsevier Science Ltd. All ri
ghts reserved.