Analysis of the normal-state resistivity for the neutron-irradiated $A15\mathrm{}$ superconductors ${\mathrm{V}}_3$Si, ${\mathrm{Nb}}_3$Pt, and ${\mathrm{Nb}}_3$Al

The normal-state resistivity of the $A15\mathrm{}$ superconductors ${\mathrm{V}}_3$Si, ${\mathrm{Nb}}_3$Pt, and ${\mathrm{Nb}}_3$Al has been studied as a function of neutron damage. Resistivity data have been taken from the superconducting transition temperature $T_c$ to room temperature on unirradiated samples and irradiated samples with degraded $T_c$'s ranging down to 2-3 K. The ${\mathrm{V}}_3$Si data are the most extensive and both a single-crystal and polycrystalline samples have been studied. The ${\mathrm{Nb}}_3$Pt and ${\mathrm{Nb}}_3$Al data were taken for comparison. The data are fitted to several theoretical expressions put forth to explain the normal-state resistivity in $A15\mathrm{}$ superconductors at low temperatures, high temperatures, and the full range of temperatures. The results are discussed in light of these theories. The most striking feature of the ${\mathrm{V}}_3$Si data is that there is no observable change in the shape of the temperature-dependent contribution to the resistivity down to a fractional degradation of $T_c$ of ∼0.5. This does not appear to be the case for the Nb-based $A15\mathrm{}$ superconductors. It is suggested that this difference in behavior may be related to the different sensitivity of $T_c$ to disorder in ${\mathrm{V}}_3$Si as opposed to the Nb-based $A15\mathrm{}$ superconductors.