In order to further search a correlation between electronic structure and t
he B2 phase stability of TiM binary alloys with M = Fe, Co, Ni, Pd, Pt, Au,
Cu, and Ag, we perform a first-principles calculation using a tight-bindin
g linear muffin-tin orbital method. A "correlation parameter'' of the densi
ty of states (DOS) of electron, which reflects the shape properties of DOS,
is introduced. It is found that using the parameter coupling the overlappi
ng occupancies of DOS's and lattice constants, the phase stability of the B
2 structure in these alloys can be described very well. Our conclusions are
also confirmed by a comparison with the difference charge-density map. In
addition, the temperatures of Martensitic phase transformation of these all
oys are calculated and are found to be comparable with the experimental. [S
0163-1829(99)07347-6].