Permutational isomers on a molecular skeleton with neighbor-excluding ligands
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abstract
Permutational isomers of ligands substituted on a molecular skeleton are studied under a condition on the ligand placement which excludes a second ligand of the same type at a neighboring skeletal site. General theory to treat such a circumstance is developed to identify a correspondence between isomers and suitable double cosets of groups involving permutations of ligands amongst skeletal sites. Then this theory is illustratively applied for a selection of skeletons, including an experimentally realized hexamalono-buckminsterfullerene skeleton, with 12 ligation locations. 2008 Springer Science+Business Media, LLC.