For the systematical understanding of the stability of martensitic phases a
nd precipitates which appear in Ti-Ni shape memory alloys, we made a first
principle electronic structure calculation of them by using the tight-bindi
ng linear muffin;tin orbital method in the atomic sphere approximation (TB-
LMTO-ASA). The obtained results are the following: (I)the total electronic
density of state (DOS) at the Fermi energy D(epsilon(F)) of TiNi decreases
as the successive B2 --> R --> B19' transformation proceeds; (2) when the n
umber of valence electrons increases, D(epsilon(F)) of the R-phase increase
s but that of the B19-phase decreases; (3) D(epsilon(F)) of Ti3Ni4 decrease
s as the number of valence electrons decreases and that of TiNi, decreases
as the number of valence electrons increases. By comparing these results wi
th experimentally obtained results, we derived a criterion that phases appe
aring in Ti-Ni system tend to become stable at 0 K as D(epsilon(F)) decreas
es. (C) 1999 Elsevier Science S.A. All rights reserved.