We measured the dielectric function of Ge1-yCy and Ge-rich Si1-x-yGexC
y alloys from 1.6 to 5.2 eV using spectroscopic ellipsometry. These al
loys were grown by molecular beam epitaxy at 600 degrees C on (001) Si
substrates. Analytic lineshapes fitted to numerically calculated deri
vatives of their dielectric functions determined the critical-point pa
rameters of the E-1, E-1 + Delta(1), E-0', and E-2 transitions. The cr
itical-point energies of the Ge1-yCy alloys were found to be indisting
uishable from those of bulk Ge. This indicates that the presence of C
in these alloys has no detectable influence on the band structure. The
amplitude of the ellipsometric spectra is much lower than for bulk Ge
, which can be attributed to surface roughness and explained within th
e framework of the Kirchhoff theory of diffraction or using effective
medium theory. The degree of surface roughness indicated by optical me
asurements was verified by atomic force microscopy. (C) 1998 Elsevier
Science S.A.