A research chemist isolates two cobalt(III) complexes, Complex X and Complex Y, both having the molecular formula CoBrCl(NH₃)(en)₂ (where en = ethylenediamine). When Complex X is treated with excess AgNO₃ solution, a pale yellow precipitate forms immediately. When Complex Y is treated with excess AgNO₃ solution, a white precipitate forms immediately. Both complexes show a magnetic moment of 0 BM. Complex X and Complex Y are non-superimposable mirror images of each other in one of their geometric forms.
A research chemist isolates two cobalt(III) complexes, Complex X and Complex Y, both having the molecular formula CoBrCl(NH₃)(en)₂ (where en = ethylenediamine). She observes the following:
• When Complex X is treated with excess AgNO₃ solution, a pale yellow precipitate forms immediately.
• When Complex Y is treated with excess AgNO₃ solution, a white precipitate forms immediately.
• Both complexes show a magnetic moment of 0 BM.
• Complex X and Complex Y are non-superimposable mirror images of each other in one of their geometric forms.
On the basis of this information, answer the following:
(a) Identify which halide ion (Br⁻ or Cl⁻) is outside the coordination sphere in Complex X and in Complex Y. Justify your answer using the precipitate observations. (2 marks)
(b) What type of isomerism is shown between Complex X and Complex Y? Name it. (1 mark)
(c) Account for the observed magnetic moment of 0 BM for these cobalt(III) complexes. (1 mark)
Show answerHide answer
When a complex is treated with AgNO₃, only the ions present OUTSIDE the coordination sphere (i.e., as free ions in solution) precipitate immediately.
• AgNO₃ + Br⁻(aq) → AgBr↓ (pale yellow precipitate)
• AgNO₃ + Cl⁻(aq) → AgCl↓ (white precipitate)
In Complex X: A pale yellow precipitate forms immediately.
∴ Br⁻ is outside the coordination sphere in Complex X.
∴ Complex X is [CoCl(NH₃)(en)₂]Br, i.e., the coordination sphere contains Cl⁻, and Br⁻ is the counter ion.
In Complex Y: A white precipitate forms immediately.
∴ Cl⁻ is outside the coordination sphere in Complex Y.
∴ Complex Y is [CoBr(NH₃)(en)₂]Cl, i.e., the coordination sphere contains Br⁻, and Cl⁻ is the counter ion.
Since X and Y have the same molecular formula but differ in which halide is inside versus outside the coordination sphere, they are ionisation isomers of each other. (1 mark for correct identification of both halides with justification; 1 mark for correct formulation of both complexes)
(b) Type of isomerism:
Complex X and Complex Y have the same molecular formula (CoBrCl(NH₃)(en)₂) but differ in which ligand is within the coordination sphere and which is the counter ion outside it.
∴ The isomerism shown between Complex X and Complex Y is Ionisation Isomerism. (1 mark)
(Note: The observation that one geometric form of these complexes shows non-superimposable mirror images indicates optical isomerism (Δ and Λ enantiomers) within that geometric form, but the relationship BETWEEN X and Y, as defined by the precipitate experiment, is ionisation isomerism.)
(c) Accounting for magnetic moment = 0 BM:
The spin-only magnetic moment is given by:
μ = √n(n+2) BM
where n = number of unpaired electrons.
For μ = 0 BM:
0 = √n(n+2) ∴ n = 0 (no unpaired electrons)
Co is in the +3 oxidation state in these complexes.
Electronic configuration of Co³⁺: [Ar] 3d⁶
The ligands present — en (ethylenediamine) and NH₃ — are STRONG FIELD ligands. They cause a large crystal field splitting energy (Δo) that exceeds the electron pairing energy.
∴ All 6 electrons in the 3d orbitals pair up completely in the lower energy t₂g set:
t₂g⁶ eg⁰
∴ There are 0 unpaired electrons, and the complex is diamagnetic, consistent with μ = 0 BM. (1 mark)