COMBINATORICS OF CLUSTER ENUMERATION

Recent developments in the enumeration of isomers of gallium arsenide clusters of the formula Ga(x)As(y) as well as hydrogenated clusters of C60 such as C60H(n) and deuterated clusters C60H(n)D(m) are reviewed. The procedures for the combinatorical enumeration of isomers of C60H(n)X(m) are also outlined. The nuclear spin statistics and the classification of rotational levels of C60H60 and C60D60 are considered using combinatorical methods.