We present new upper critical field H-c2(T) data in a broad temperatur
e region 0.3 K less than or equal to T less than or equal to T-c for L
uNi2B2C and YNi2B2C single crystals with well characterized low impuri
ty scattering rates. absolute values for all T, in particular, H-c2(0)
, and the sizable positive curvature (PC) of H-c2(T) at high and inter
mediate T are explained quantitatively within an effective two-band mo
del. The failure of the isotropic single-band approach is discussed in
detail. Supported by de Haas-van Alphen data, the superconductivity r
eveals direct insight into details of the electronic structure. The ob
served maximal PC near T-c gives strong evidence for clean limit type-
II superconductors. [S0031-9007(98)05338-1].