Solid State Commun 0 16, 335 (1975). 12 V. Sahni, J» B" Krieger, and J. Gruenebaum, Phys. Rev. B 15, 1941 (1977. 13 V 0 Sahni and J. Gruenebaum, Solid State Commun, 21, 463 (1977). 14 In Ref. 3 J5 XC is obtained from calculation of the energy in RPA; this is therefore the appropriate choice to compare with wave-vector analysis in RPA. In Ref 0The interpretation of angle-resolved photoelectron spectra (ARPES) in terms of electronic band structures suffers from the lack of information about the normal wave-vector component k ± of the photoexcited electron inside the crystal. Therefore, nearly all recent ARPES experiments 1 have been confined to layer compounds with k x fixed in the direction normal to the layers; for such compounds, little or no energy dispersion is expected along k x . Only a few exceptions 2 deal with "three-dimensional" crystals, and no straightforward and satisfying interpretation of the results has been given so far. In this Letter, we report the first ARPES measurements of PbS, which has the rock salt structure and a reasonably well-known band structure. 3 * 4 The positions of the peaks observed in the energy distribution spectra plotted versus the wave-vector component parallel to the crystal surface, kjj, can be understood almost completely in terms of the one-dimensional density of states calculated along lines defined by k|,= const in reciprocal space.The experiments were performed in a commercially available photoemission spectrometer described elsewhere. 5 The hemispherical electron analyzer was operated at a pass energy of 10 eV corresponding to a resolution of approximately 0.3 eV. The opening angle of the acceptance cone was 3°. A PbS single crystal was cleaved in vacuum along a (100) plane, the base pressure being 5 £ xc is obtained from expansion of the dielectric function e(Q); B xc so obtained is very sensitive to choice of e(Q) [cf. D" J 0 W. Geldart, M. Rasolt, and R. Taylor, Solid State Commun, W_ 9 279 (1972)], and does not correspond to any well-defined approximation such as RPA for the energy. In Ref. 5 a coefficient is also found for the next, -order gradient correction from e(Q), but this method neglects contributions in the same order V 4 of unknown size which arise in nonlinear response. less than lxlO" 10 Torr. Immediately after cleaving, the resulting surface was analyzed in situ by means of low-energy electron diffraction (LEED). Nearly the whole cleavage plane with an area of approximately 10 mm 2 exhibited the square LEED 1 pattern of a perfect (100) surface of a face-centered cubic crystal. No evidence for surface disorder or surface reconstruction could be detect-3 ed. The diffraction pattern preserved its sharpness for at least 48 h under ultrahigh-vacuum conditions. No changes were observed in the angle-resolved uv-induced photoemission spectra during this time either, confirming that the surface remained free of contaminants. The orientation of the crystal was established inside the ultrahigh-vacuum chamber by means of its LEED pattern. The configuration...