The fullerenes have been established as new and versatile building blocks i
n organic chemistry. A large number of fascinating fullerene derivatives, e
specially of the icosahedral buckminsterfullerene C-60, have been synthesiz
ed. The chemistry of C-60 continues to be good for many surprises. However,
based on present knowledge a series of reactivity principles can be deduce
d which makes derivatization of this all carbon cluster more and more predi
ctable. In this article first the geometric and electronic properties of th
e parent molecule are analyzed. The bent structure of the carbon network C-
60 and the filling of its molecular orbital with 60 pi-electrons dictate th
e chemical reactivity. A very important aspect that was introduced with the
investigation of fullerene chemistry is the shape dependence of reactivity
.