The observed variation in superconducting transition temperature (T(c)
) in Zr2M (M = Fe, Co, Ni, Rh) compounds is explained on the basis of
band filling with increasing electron to atom ratio. The relatively la
rge T(c) in Zr2Co and Zr2Rh arises due to the Fermi level (E(F)) lying
at the peak of the density of states (DOS), while in case of both Zr2
Fe and Zr2Ni, E(F) lies in the valley of DOS. The values of DOS at the
Fermi level rho(E(F)), as estimated from measured specific heat data
are compared with those from the calculated electronic structure. Also
estimated are the electron-phonon coupling constant (lambda), the Deb
ye temperature (THETA(D)) and the electronic specific heat coefficient
(gamma).