Metal cluster 2026-10-20
A metal cluster contains several connected metal centers. A triangular three-metal cluster can support three edge metal-metal bonds; early-metal clusters often have stable counts below the 18-electron rule.
Past exam of the chemistry B course of the University of Cambridge 2024 Paper 2 B6 b iii Solution 2026-10-20
A suitable structure is a triangular Ti metal cluster with one 1,2-Bis(dimethylphosphino)ethane chelate and one terminal chloride at each titanium, and one bridging ligand -Cl spanning each edge. Include a direct Ti–Ti single metal-metal bond along each edge. The last panel distinguishes these direct bonds from the chloride bridges.
The six chlorides have total formal charge , so equivalent centers are Ti(II), . At each titanium the two phosphorus donors supply four electrons, the terminal chloride supplies two, and the two incident chloride bridges each donate a pair in ionic electron counting. Two incident Ti–Ti single bonds supply another two electrons:Each center can contribute one electron to each of its two edge bonds, making three bonds from six metal electrons overall. This is a 14-electron early-metal cluster, not an 18-electron complex. Forcing the 18-electron rule here would invent excessive bond orders. chloride bridges donate to more than one center, so summing local counts is not the same as counting distinct electrons of the whole cluster.