Coordination Compounds · Lesson 1 of 12
Werner’s Theory and Experimental Evidence
“Use precipitation and conductivity to distinguish a coordination entity from its counter ions.”
• Infer a coordination sphere from chloride precipitation data. • Distinguish oxidation state from coordination number. • Explain Werner’s postulates and their modern limits. • Compare double salts with complex salts in aqueous solution.
Why the empirical formula is not enough
A bottle labelled CoCl₃·6NH₃ tells us how many atoms are present but does not tell us which atoms are directly joined. The question becomes sharper when a related compound, CoCl₃·5NH₃, releases only two of its three chlorides to a rapid silver-ion test. A structural model must explain why chemically identical chloride atoms can behave differently in the same material. Coordination chemistry begins by separating the immediate surroundings of a metal from ions that balance charge outside those surroundings.
In a cold aqueous test, freely available chloride precipitates with silver ions: Ag⁺(aq) + Cl⁻(aq) → AgCl(s). The white solid provides a count of chloride that is immediately accessible under the stated conditions. Chloride already bonded to an inert cobalt(III) centre is not necessarily released on this timescale. Thus the experiment probes both constitution and the timescale of ligand substitution; it does not mean that a coordinated chloride can never react.
From four observations to one structural explanation
| Composition and colour | Structural formula | Free Cl⁻ per unit | Ideal dissolved ions |
|---|---|---|---|
| CoCl₃·6NH₃, yellow | [Co(NH₃)₆]Cl₃ | 3 | 4: one complex cation + three Cl⁻ |
| CoCl₃·5NH₃, purple | [CoCl(NH₃)₅]Cl₂ | 2 | 3: one complex cation + two Cl⁻ |
| CoCl₃·4NH₃, green | trans-[CoCl₂(NH₃)₄]Cl | 1 | 2: one complex cation + one Cl⁻ |
| CoCl₃·4NH₃, violet | cis-[CoCl₂(NH₃)₄]Cl | 1 | 2: one complex cation + one Cl⁻ |
Every row has six donor atoms directly bonded to cobalt: six nitrogen atoms, five nitrogen plus one chlorine, or four nitrogen plus two chlorine. The metal therefore keeps an octahedral first coordination sphere in this series while the number of external chlorides changes. The two compounds in the last rows have identical composition and the same count of free ions, yet different colours. A model must therefore describe spatial arrangement as well as charge.
Conductivity supplies supporting evidence because dissolved ions carry electric current. A 1:3 electrolyte here means one complex cation for three monovalent anions, whereas a 1:1 electrolyte produces one of each. Counting ions alone does not give an exact numerical conductivity: charge, mobility, concentration and ion pairing also matter. The evidence supports the formulations when these experimental factors are controlled.
Werner’s two valences
Primary valence is the historical description associated with oxidation state. Secondary valence describes the number and directional arrangement of directly attached donor atoms, now expressed by coordination number and geometry.
For the cobalt(III) series, primary valence is three and secondary valence is six. Neutral ammonia contributes no formal charge but occupies a coordination site. A coordinated chloride contributes −1 to charge and occupies one site. Chloride outside the bracket balances the charge of the entity but does not increase the coordination number. This is why oxidation state and coordination number answer different questions.
Werner proposed ionisable primary linkages, non-ionisable secondary linkages and characteristic directions for secondary linkages. These ideas explain the cobalt data. In modern language, however, bonding has both electrostatic and covalent aspects, and the coordination number is not permanently fixed for every compound of a metal. Nickel can occur in four- and six-coordinate complexes. The historical postulates are a structural starting point, not a universal rule that forbids ligand exchange or alternative coordination numbers.
Solving the inverse problem
Problem
Assign coordination numbers for PdCl₂·4NH₃, NiCl₂·6H₂O, PtCl₄·2HCl, CoCl₃·4NH₃ and PtCl₂·2NH₃ when they yield 2, 2, 0, 1 and 0 mol AgCl per mole, respectively.
- 1.Two free chlorides leave [Pd(NH₃)₄]Cl₂. Four N donors give CN 4; Pd is +2. Likewise [Ni(H₂O)₆]Cl₂ has six O donors, CN 6 and Ni +2.
- 2.No freely ionisable chloride in PtCl₄·2HCl is consistent with H₂[PtCl₆]. The entity contains six chlorido ligands, Pt +4, charge −2 and CN 6. Acid dissociation releases H⁺ rather than free chloride from the bracket.
- 3.One external chloride in CoCl₃·4NH₃ gives [CoCl₂(NH₃)₄]Cl, CN 6 and Co +3. With PtCl₂·2NH₃, both chlorides are coordinated in [PtCl₂(NH₃)₂], CN 4 and Pt +2.
- 4.These conclusions use the stipulated experimental behaviour and chemically established ligand identities. Precipitation data alone cannot distinguish cis from trans; a further structural observation is required.
Double salts and persistent complex ions
A double salt is a crystalline combination that supplies its component simple ions on dissolving. Mohr’s salt, (NH₄)₂Fe(SO₄)₂·6H₂O, gives ammonium, sulfate and hydrated Fe²⁺ in water, so suitable Fe²⁺ tests remain possible. Carnallite, KCl·MgCl₂·6H₂O, and potash alum, KAl(SO₄)₂·12H₂O, similarly release component ions. The waters of crystallisation become part of the surrounding solvent and hydration environment.
By contrast, K₄[Fe(CN)₆] dissolves principally into four K⁺ and [Fe(CN)₆]⁴⁻. It does not provide the same free Fe²⁺ and CN⁻ concentrations as a mixture of simple salts. Formation equilibria still exist, but the stable complex is the dominant species under suitable conditions. All aqueous metal ions are solvated; the comparison concerns whether the distinctive coordination entity persists, rather than whether a completely bare metal ion exists in water.
Problem
Explain why mixing FeSO₄ and (NH₄)₂SO₄ differs from adding excess NH₃ to aqueous CuSO₄.
- 1.The first combination can form a double salt; dissolution still gives hydrated Fe²⁺, allowing its characteristic reactions.
- 2.Ammonia coordinates copper(II), producing a deep-blue ammine-containing species commonly represented as [Cu(NH₃)₄(H₂O)₂]²⁺. Its free aquacopper(II) concentration is reduced.
- 3.A test whose response requires sufficient free aquacopper(II) may be suppressed. This does not imply zero free Cu²⁺ under all conditions or failure of every possible copper test; reagent strength, pH and equilibria determine the outcome.
Quick Quiz
Quiz
One mole of [CoCl(NH₃)₅]Cl₂ gives how much rapid AgCl precipitate?
Only the two external chlorides are immediately available in the stipulated cold test.
Which quantity is six throughout the cobalt(III) ammine series?
Each cobalt has six directly attached donor atoms.
How many ions does [Co(NH₃)₆]Cl₂ ideally produce per formula unit?
The salt gives one +2 complex and two chloride ions; NH₃ remains coordinated.
Which observation requires a spatial model in addition to ion counting?
Identical composition and ion counts can conceal different cis/trans arrangements.
Which description of K₄[Fe(CN)₆] in water is best?
Four potassium ions are counter ions; the iron entity retains its six cyanido ligands.
Practice Problems
- Predict the immediate AgCl yield and ideal ion count for [CoCl₂(NH₃)₄]Cl.
- A cobalt(III) compound contains three Cl and five NH₃ per cobalt and yields two mol AgCl per mole. Infer its formula, entity charge and CN.
- Explain why conductivity cannot by itself determine whether [CoCl₂(NH₃)₄]⁺ is cis or trans.
- Compare the species produced by potash alum and potassium hexacyanidoferrate(II) on dissolving.
- Is secondary valence permanently fixed for a metal? Explain using nickel.
- Why must the temperature and timescale of a chloride precipitation experiment be stated?
1. Identify the bracket as a single +1 entity. 2. Only one Cl⁻ is outside, so one mole yields one mole AgCl in the cold rapid test. 3. Dissolution ideally gives two ions per unit, not six independent ammonia ions.
Key Takeaways
• Square brackets identify the metal and its directly bonded ligands. • External counter ions balance entity charge. • Rapid AgCl tests count readily available chloride under specified conditions. • Oxidation state and coordination number are different quantities. • Spatial isomers can have identical composition and ion counts. • Double salts and complex salts differ in the solution species that persist. • Werner’s structural model needs modern qualifications about bonding and ligand exchange.
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Ligands and the Language of Complexes