The structural properties of SiGe and SiGeC alloys are studied by ab initio
total-energy calculations. It is found from these calculations that the Ge
cluster is a stable structure in a SiGe alloy. Furthermore, it is also dem
onstrated that Vegard's law is valid in a SiGeC system whose C content is l
ess than 3%. The total-energy calculation of the Si0.72Ge0.25C0.03 alloy in
which the number of Ge-C bonds around a C atom varies shows that the energ
y increases on increasing the number of Ge-C bonds. The mechanism of this i
ncrease is considered, taking into account the cohesive energy difference o
f the SiC and GeC alloys and the atomic configuration around the C atom.