Closo cluster 2026-10-20
A closed deltahedral cluster described by skeletal electron pairs in the usual Wade model. borane examples include .
For , twelve BH vertices supply skeletal electrons and the charge adds two:
For the cobaltacarborane, nine BH vertices supply 18, two CH vertices supply six and CpCo supplies two by (a):
Both are 12-vertex closo icosahedra with 13 skeletal electron pairs. In the cobalt compound, the Cp ring is external to the cage. cobalt caps the five-membered open face of the 11-vertex dicarbollide fragment and is a vertex of the resulting icosahedron, giving the usual adjacent-carbon cobaltacarborane framework. Counting all five Cp carbons as additional polyhedral vertices would be incorrect.
Figure 1.
Original 12-vertex closo frameworks for dodecaborate and the adjacent-carbon cobaltacarborane, with external ligands omitted
. Details.
An electron-counting approach relating skeletal electron pairs to a cluster vertex count . A closo deltahedron has pairs; nido and arachno frameworks have and . The count excludes electrons in externally directed bonds or lone pairs. It is a structural guide with a defined domain, not a rule that every molecule with the same total valence count has the same shape.