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_P.-Powell-auth.-Principles-of-Organometallic-Chemistry-Springer-Netherlands-1988

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Table 11.1. Electron counting in clusters

Polyhedral electron count

Description

Vertices

Faces

Edges

Restriction

on n

Main Transition

Group Metal Mixed

Rings

Polyhedra

Deltahedra

Closo

Nido

Arachno

Hypho

n

n

2

(n + 4)/2

n

3n/2

n;;.3

n;;.4

n even

n 2n- 4 3(n- 2) n;;;. 5

Mn cluster occupies n corners of an (n + 1) cornered deltahedron

Mn cluster occupies n corners of an (n + 2) cornered deltahedron

Mn cluster occupies n corners of an (n + 3) cornered deltahedron

6m 16t 6m+ 16t

Sm lSt Sm+ lSt

4m+2 14t+2 4m+ 14t+ 2

4m+4 14t+4 4m+ 14t+4

4m+6 14t+6 4m+l4t+6

4m+8 14t+ 8 4m+l4t+8

m = number of Main Group atoms in cluster; t = number of transition metal atoms in cluster. m + t = n = number of vertices.

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