For each of the compounds MnTi2, FeTi2, CoTi2, NiTi2, PdTi2, PtTi2 and
CuTi2, the differences between the total energies of the compounds in
the MoPt2-, MoSi2- and NiTi2-type crystal structures are calculated.
Trends of structural energy differences are analysed by performing 'fr
ozen-potential' energy difference calculations and site-projected-ener
gy analysis. Our analysis reveals that the Ti sites with icosahedral s
ymmetry determine the structural stability in transition metal (TM)-Ti
2 compounds. A connection with the stability of quasicrystal models is
established.