The partial contribution of the sub-bands to λ f V3Si

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Abstract
The band structure and the electron-phonon coupling constant are calculated for pi bands using a tight-binding parameter fit for V3Si. Following this and previous calculations for the delta 2 band and the sigma band hybridised with the delta 1 band, an approximate relationship for the contribution to lambda from the various sub-bands of the 3 d band is developed. The relationship depends upon the individual width of the sub-band and its contribution to the density of states and shows that there is some compensation between N(0) (the electronic density of states at the Fermi level) and I2 (the electron-phonon coupling constant). A narrow band gives rise to a large value of N(0) but a small value of I2; thus the product N(0)I2 does not follow the behaviour of N(0).