Past exam of the chemistry B course of the University of Cambridge 2021 Paper 2 B6 d Solution 2026-10-20
For A, linear nitrogen coordination with predominantly nitrile-like bonding is consistent with all three measurements:The short C–N and long C–S distances correspond approximately to a triple bond and a single bond. An approximately nitrogen donor has its donor lone pair directed along the N–C axis, explaining the linear M–N–C angle.
For B, bent nitrogen coordination with increased chemical resonance character accounts for the longer C–N and shorter C–S bonds. In this limiting description both internal bonds have substantial double-bond character and nitrogen is approximately . One nitrogen lone pair can bind a metal with an M–N–C angle near ; alternatively, donation of both nitrogen lone pairs can give a trigonal, nitrogen-bridging unit:The nitrogen-bridging drawing is a compatible proposed bonding mode, but the listed internal distances and one angle alone do not prove the number of attached metals. In particular, B cannot be identified simply as terminal sulfur coordination: the specified angle explicitly contains an M–N bond. resonance structures explain relative bond orders; they do not imply an isolated coordination ligand with permanently localized integer bonds.
Past exam of the chemistry B course of the University of Cambridge 2021 Paper 2 B8 c Solution 2026-10-20
Use neutral electron counting consistently: each terminal Cp supplies five electrons, while the eight pi electrons of neutral pentalene must be allocated across the shared fused framework rather than counted twice as two independent Cp coordination ligands. One set of 18-electron-consistent proposals is:
- Iron: syn - pentalene with an Fe–Fe single bond. The two iron–Cp fragments lie on the same face. Assigning four pentalene electrons to each iron gives before direct bonding; the Fe–Fe bond contributes one electron to each count, giving 18. Its direct bond naturally accounts for the especially short metal–metal separation. An anti arrangement cannot retain this short same-face bond.
- Cobalt: - pentalene without a Co–Co bond. The count is at each metal. Syn and anti arrangements are possible at this formal level because there is no required direct bond. Removal of the bond relative to iron accounts for a larger separation.
- Nickel: slipped - coordination to the two outer allylic portions. The fusion bond remains an uncoordinated alkene in this limiting bonding picture, while each outer three-carbon portion contributes three electrons in neutral counting: . Equivalent ionic counting gives a nickel(II) centre, a six-electron Cp and a four-electron allyl ligand. Moving the metal binding sites toward the outer three-carbon portions increases the separation further. Syn and anti arrangements can again be drawn.
The original schematic shows the donor regions and the required iron–iron bond; dashed metal-to-region lines denote delocalized coordination rather than localized carbon–metal single bonds.
These proposals explain the requested electron counts and distance ordering. electron counting alone does not establish the unique ground-state structure: orbital calculations on related pentalene complexes also identify stable formally electron-deficient arrangements. In particular, the formal requirement of a metal–metal bond in the proposed 18-electron iron model should not be converted into a claim that every known iron pentalene complex adopts that model.[ref]
The Versatility of Pentalene Coordination to Transition Metals: A Density Functional Theory Investigation by S. Bendjaballah and others. Discussion of syn/anti coordination, hapticity and electron-count exceptions
Past exam of the chemistry B course of the University of Cambridge 2021 Paper 2 B8 d ii Solution 2026-10-20
Cleavage of the disulfide supplies one methylthiolate per cobalt. A monomer would have only electrons by ionic counting. Dimerization with two bridging thiolates supplies a second sulfur interaction at each cobalt, and a direct Co–Co bond completes each count. Thus a suitable structure is with a Co–Co single bond, containing an diamond:Each cobalt is formally : Cp and methylthiolate each carry one negative charge. The stoichiometry isThe molecular formula reduces to the required empirical formula. The sulfur–sulfur bond has been cleaved, both sulfur atoms now bridge the metals, and the loss of two CO molecules per cobalt is balanced. Formally cobalt(I) is oxidized to cobalt(II), while the disulfide is reduced to thiolate.

