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Fig. 15 Skeletal molecular orbitals for edge-linked tetrahedra
have reported the structures of several gold-silver clusters [ 59 ], and the electronic
characteristics of these clusters have been analysed using the molecular orbital
ideas developed above [ 84 ]. The parent icosahedron exemplified by
[Au 13 X m (PMe 2 Ph) 12 m ] x + ( m ¼ 2-4; x ¼ 5 m ) has a pec of 162 electrons and
a sec associated with 8 electrons occupying [S σ ] 2 [P σ ] 6 . For vertex sharing icosahe-
dra which adopt a linear arrangement, the skeletal molecular orbitals are simple
combinations of the skeletal molecular orbitals of the parent icosahedra. Further-
more, vertex sharing does not lead to strong inter-icosahedral interactions, because
the overlap integrals are small [ 84 ]. Consequently these aggregates of n icosahedra
are characterised by [1S σ ][1P σ ] 6 ,
[2S σ ][2P σ ] 6
[nS σ ] 2 [nP σ ] 6
,
occupied
......
 
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