Abstract
The study of cluster compounds is an active area of current research. The scope is widening and systematic methods of synthesis beginning to appear based, for example, on the isolobal principle first mentioned in Chapter 10 and which will be met again later in this chapter. It seems likely that it will eventually be found that such compounds may involve almost any element, perhaps with the exception of the most electropositive. Some representative examples are given in Fig. 15.1. Despite all this activity, our understanding of the bonding in cluster compounds is relatively primitive. Most of them are beyond the scope of detailed ab initio calculations and resource has to be made to more approximate methods, the Xα and its refinements probably being the most reliable (see Section 10.3.1). However, it seems that even the simplest of methods, in particular the extended Hückel (Section 10.5), can give the highest occupied orbitals with a tolerable accuracy, though being far less reliable for more deeply lying orbitals. Unfortunately, cluster molecules have such a plethora of bonding molecular orbitals that any photoelectron spectroscopic data (Section 12.7) can only be interpreted with the greatest difficulty. So, it is difficult to find any reliable external check on the available calculations.
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Further reading
A brief overview of cluster structure and, to some extent, bonding, is contained in Metal clusters revisited, by J. Lewis, Chemistry in Britain (1988) 795. A more complete picture is given in The Chemistry of Metal Cluster Complexes by D. F. Shriver, H. D. Kaesz and R. D. Adams (Eds.), VCH, New York, 1990.
A review of bonding theories, including those mentioned in the early part of this chapter, is contained in `Theoretical Models of Cluster Bonding’ by D. M. P. Mingos and R. L. Johnson, Struct. Bonding (1987) 68,29. See also `Bonding Models for Ligated and Bare Clusters’ by D. M. P. Mingos, T. Slee and L. Zhenyang, Chem. Rev. (1990) 90,383.
Wade theory is detailed in Transition Metal Clusters B. F. G. Johnson (Ed.), Wiley, 1980, Chapter 3 `Some Bonding Considerations’, by K. Wade.
Stone theory is described in `New Approach to Bonding in Transition-Metal Clusters and Related Compounds’ by A. J. Stone, Inorg. Chem. (1981) 20, 563.
The problem of electron correlation is discussed in ‘Problems in the Theoretical Description of Metal-Metal Multiple Bonds or How I Learned to Hate the Electron Correlation Problem’, M. B. Hall. Polyhedron (1987) 6, 679.
A brief review of graph-theoretical ideas is to be found in `Mathematical methods in coordination chemistry: topological and graph-theoretical ideas in the study of metal clusters and polyhedral isomerizations’ by R. B. King, Coord. Chem. Rev. (1993) 122,91.
A book that covers both experiment and theory is Multiple Bonds Between Metal Atoms,2nd edn., by F. A. Cotton and R. A. Walton, Oxford University Press, Oxford, 1993.
A useful source is Volume 1 of Comprehensive Coordination Chemistry G. Wilkinson, R. D. Gillard and J. A. McCleverty (Eds.), Pergamon Press, Oxford, 1987, Chapter 4 `Clusters and Cages’, by I. G. Dance).
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© 1996 S. F. A. Kettle
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Kettle, S.F.A. (1996). Bonding in cluster compounds. In: Physical Inorganic Chemistry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-25191-1_15
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