Impact of Eigenvalues on the Superconducting State Parameter for Some Trivalent Metals and their Binary Alloys

Abstract

In this mathematical work we have considered the trivalent metals aluminium and indium. Aluminium is a reactive metal, generally forming complexes within its alloys. Indium is chemically not so reactive. However, within its alloys also it often forms complexes. Here we have studied the impact of eigenvalues on the superconducting state parameter for not only these metals but also some binary alloys of them. In case of aluminium we have considered the binary alloys aluminium-magnesium and aluminium-zinc. For indium too two binary alloys of it have been studied for the same: indium-magnesium and indium-zinc. Our results are quite satisfactory for the metal aluminium as well as its present alloys. For the metal indium also our result is very satisfactory. For its alloys our results lie within the range of values obtained by other researchers. Our computation reveals that the superconducting state parameter can be reasonably reproduced by Harrison’s first principle pseudopotential technique along with McMillan’s formalism provided a proper choice of the core energy eigenvalues is made.