Local vibrational modes of carbon impurities in relaxed Si1-xGex have been
studied with infrared absorption spectroscopy in the composition range 0.05
less than or equal to x less than or equal to 0.50. Carbon modes with freq
uencies in the range 512-600 cm(-1) are: observed in C-13(+)-implanted Si1-
xGex after annealing at 550 degrees C. Measurements on samples coimplanted
with C-12(+) and C-13(+) show that these modes originate from defects conta
ining a single carbon atom and From the variation of the mode Frequencies w
ith composition x, the modes are assigned to substitutional carbon in Si1-x
Gex. Based on the frequencies obtained from a simple vibrational model, the
observed modes are assigned to specific combinations of the four Si and Ge
neighbors to the carbon. The intensities of the modes indicate that the co
mbination of the four neighbors deviates from a random distribution. Ab ini
tio local-density-functional cluster theory has been applied to calculate t
he structure and the local mode frequencies of substitutional carbon with n
Ge and 4 - n Si neighbors in a Si and a Ge cluster. The calculated frequen
cies are similar to 9% higher than those observed, but the ordering and the
splitting of the mode frequencies agree with our assignments. [S0163-1829(
99)01243-6].