  The influence of tensile strain in the ab-plane on crystal and electronic
structure of FeTe has been studied ab initio. In superconducting FeSe the Fermi
surface nesting with a vector q~(0.5,0.5)(2\pi /a) is believed to be crucial
for rising superconductivity mediated by spin-fluctuations. The results
presented here indicate that tensile-strained FeTe also exhibits such
conditions. Furthermore, the Fermi surface changes, related to the increase of
the lattice parameter a of this telluride, are opposite to analogous effects
reported for FeSe. Since a recently reported transition from the double-stripe
to the single-stripe magnetic order in FeTe under tensile strain in the
ab-plane is associated with an occurence of superconductivity in corresponding
thin films, these findings allow for drawing a consistent picture of
superconductivity in FeSe(1-x)Te(x) systems, in general.
