The optical constants for electropolished intrinsic germanium have been determined for the spectral region between 0.5 and 3.0 eV at 300 and 120\ifmmode^\circ\else\textdegree\fi{}K. The technique is based on the determination of the ratio ${\mathcal{R}}_{n}=\frac{{R}_{\mathrm{II}}}{{R}_{\ensuremath{\perp}}}$ at its minimum value and the precise measure of the pseudo-Brewster angle ${\ensuremath{\phi}}_{B}$ at that minimum, after correction for the presence of an oxide layer. Six distinct spectral features are observed, 4 of which have been reported by other investigators. These 4 consist of the two doublets, one at the $\ensuremath{\Gamma}$ point, the other at $\ensuremath{\Lambda}$, each with the spin-orbit splitting effect. The other features, at 1.74 and 1.94 eV (300\ifmmode^\circ\else\textdegree\fi{}K), and 1.84 and 2.04 eV (120\ifmmode^\circ\else\textdegree\fi{}K), are attributed to direct transitions ${L}_{{3}^{\ensuremath{'}}}\ensuremath{-}{L}_{1}$. A discussion of the optical constants in terms of the joint density of states is also given. A comparison is made between normal reflectance values as calculated from the optical constants and recent very precise experimental normal reflectance measurements.