A summary account is given of various aspects of the structure and spi
n density distribution for the different isotopomers of C60X (X = H, M
u) and for the different isomers Of C70Mu. The rigidity of the C60X st
ructure is exploited in describing the origin of the zero point hyperf
ine isotope effect. Ab initio Hartree-Fock calculations suggest that t
he deformation to the C60 cage is highly localised and emphasizes the
alkene nature Of C60. Addition Of muonium to C70 results in 5 possible
structures for C70Mu, 3 with alkene and 2 with arene character.