Optical reflectivity measurements over a wide spectral range and at differe
nt temperatures together with self-consistent electronic band structure cal
culations have been used to investigate the electronic structure of the LuI
nCu4 and YbMCu4 (M = Cu,Ag,Au,Pd,In) compounds. The electronic structure of
the compounds is investigated theoretically using an energy-band approach
in combination with the linear-response formalism. The energy-hand structur
e is obtained within the local-spin-density approximation (LSDA) and within
its extension that explicitly takes into account the on-site 4f Coulomb in
teraction Lr (LSDA + U). A remarkable agreement between theory and experime
nt has been found.