The Solid State Theory group routinely works with two specific types of empirical pseudopotentials (EPM).
These can be fitted with or without the Spin Orbit interaction. See A.J. Williamson et. al. for more details.
These are fitted to reproduce LDA quality wavefunctions as well as experimental band gaps. See H. Fu et. al. Phys. Rev. B 55, 1642 (1997) and L.W. Wang et. al. Phys. Rev. B 51, 17398 (1995) for more details.
The following two files contain the functional form and fitted parameters for the SEPM and SLDA potentials.
(i) InP SEPM data file
(ii) InP SLDA data file
The following three files contain the fitted parameters for the SEPM potential (same format as InP) and the non-local matrix.
(i) CdSe parameters data file
(ii) Cd non-local matrix data file
(iii) Se non-local matrix data file