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For a face-centered-cubic structure crystal the parameters like atomic mass M, atomic number Z, lattice spacing are the important factors in the determination of a many body Hamiltonian H. Instead of using fcc lattice spacing we can also utilize atomic volume Ω. Using the superconducting transition temperature expressed as T c = T c (M) ( Z ,Ω), a well defined region in superconducting elements is possible. T c may also be related to BCS theory through Debye temperature. This Debye temperature is related to elastic constants C 11 , C 12 and C 44 , atomic weight and atomic volume. Also T c for five fcc transitions metals is linear in the Cauchy deviation C * = ( C 12 - C 44 )/( C 12 + C 44 ), such linearity is also seen in bcc transition elements. Finally via elastic constants mass density and atomic volume, a correlation between C* and the Debye Ω temperature has been established for the five fcc transition elements. This correlation indirectly sets up a relation between transition temperature and elastic constant.  Bangladesh J. Sci. Ind. Res. 42(2), 203-212, 2007

Studies on Transition Temperature of the Superconducting Materials Related to Elastic Constants