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A large number of experimental facts and theoretical arguments favor a two-gap model for superconductivity in MgB$_{2}$. However, this model predicts strong suppression of the critical temperature by interband impurity scattering and, presumably, a strong correlation between the critical temperature and the residual resistivity. No such correlation has been observed. We argue that this fact can be understood if the band disparity of the electronic structure is taken into account, not only in the superconducting state, but also in normal transport.

Far-infrared reflectivity studies on the polycrystalline intermetallic compound MgB_2 with a superconducting transition temperature T_c=39 K were performed at temperatures 20 K to 300 K. We observe a significant raise of the superconducting-to-normal state reflectivity ratio below 70 cm^{-1}, with a maximum at about 25-30 cm^{-1}, which gives a lower estimate of the superconducting gap of 2\Delta(0)\approx3-4 meV., Comment: 3 pages, 3 figures, revtex accepted by European Physics Journal B

We determined the optical properties of alpha- and gamma-phase Ce in the photon energy range from 60 meV to 2.5 eV using ellipsometry and grazing incidence reflectometry. We observe significant changes of the optical conductivity, the dynamical scattering rate, and the effective mass between alpha- and gamma-cerium. The alpha-phase is characterized by Fermi-liquid frequency dependent scattering rate, and an effective mass of about 20 m_e on an energy scale of about 0.2 eV. In gamma-Ce the charge carriers have a large scattering rate in the far infrared, and a carrier mass characteristic of 5d band electrons. In addition we observe a prominent absorption feature in alpha-Ce, which is absent in gamma-Ce, indicating significant differences of the electronic structure between the two phases., Comment: 5 pages, REVTeX, 2 eps-figures, Phys.Rev.Lett., in press