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In chemistry, the Jemmis mno rules represent a unified rule for predicting and systematizing structures of compounds, usually clusters. The rules involve electron counting. They were formulated by E. D. Jemmis to explain the structures of condensed polyhedral boranes such as B20H16, which are obtained by condensing polyhedral boranes by sharing a triangular face, an edge, a single vertex, or four vertices. These rules are additions and extensions to Wade's rules and polyhedral skeletal electron pair theory.[1][2] The Jemmis mno rule provides the relationship between polyhedral boranes, condensed polyhedral boranes, and β-rhombohedral boron.[3][4] This is similar to the relationship between benzene, condensed benzenoid aromatics, and graphite, shown by Hückel's 4n + 2 rule, as well as the relationship between tetracoordinate tetrahedral carbon compounds and diamond. The Jemmis mno rules reduce to Hückel's rule when restricted to two dimensions and reduce to Wade's rules when restricted to one polyhedron.[5]
^Wade, K. (1971). "The structural significance of the number of skeletal bonding electron-pairs in carboranes, the higher boranes and borane anions, and various transition-metal carbonyl cluster compounds". J. Chem. Soc. D (15): 792. doi:10.1039/c29710000792.
^Mingos, D. M. P (1984). "Polyhedral skeletal electron pair approach". Acc. Chem. Res. 17 (9): 311–319. doi:10.1021/ar00105a003.
^Jemmis, E. D.; Balakrishnarajan, M. M. (2001). "Polyhedral Boranes and Elemental Boron: Direct Structural Relations and Diverse Electronic Requirements". J. Am. Chem. Soc. 123 (18): 4324–4330. doi:10.1021/ja0026962. PMID 11457199.
^Jemmis, E. D.; Balakrishnarajan, M. M.; Pancharatna, P. D. (2001). "A Unifying Electron-Counting Rule for Macropolyhedral Boranes, Metallaboranes, and Metallocenes". J. Am. Chem. Soc. 123 (18): 4313–4323. doi:10.1021/ja003233z. PMID 11457198.
^Jemmis, E. D.; Jayasree, E. G. (2003). "Analogies between Boron and Carbon". Acc. Chem. Res. 36 (11): 816–824. doi:10.1021/ar0300266. PMID 14622028.
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