The puzzle Werner inherited
By the late nineteenth century chemists could prepare a stable salt such as cobalt(III) chloride and react it with ammonia, a stable neutral molecule. The result was not one product but a family of compounds — $\ce{CoCl3.6NH3}$, $\ce{CoCl3.5NH3}$, $\ce{CoCl3.4NH3}$ — each with a different colour and, more disturbingly, different chemical behaviour. The valence rules of the day insisted that cobalt's combining power was fixed at three. How then could a saturated salt absorb several molecules of an already-saturated base, and why should the chloride ions in these products behave so differently from one compound to the next?
The NIOS module (§22.1) records that several theories were proposed and none could account for all the observable properties at once. The breakthrough came not from a new instrument but from a new idea. Werner reasoned that a metal possesses two types of valence simultaneously, and that recognising the second kind would dissolve every contradiction. He published this coordination theory in 1893; two decades later, in 1913, it earned him the Nobel Prize — the first awarded to a Swiss chemist.
A complex is not a double salt
Both double salts and complexes form by combining two stable compounds in a fixed ratio, so candidates blur them. The dividing line is dissociation in water.
A double salt like Mohr's salt $\ce{FeSO4.(NH4)2SO4.6H2O}$ dissociates fully into all its simple ions; a complex such as $\ce{K4[Fe(CN)6]}$ keeps the $\ce{[Fe(CN)6]^4-}$ ion intact and does not release free $\ce{Fe^2+}$ or $\ce{CN^-}$.
The cobalt-ammine series
Werner's evidence rested on one carefully studied family: the products of cobalt(III) chloride with ammonia. He noticed that across the series the colour shifted in a regular way and that the same empirical formula could even correspond to two different colours — the green and violet forms of $\ce{CoCl3.4NH3}$, which we now recognise as geometrical isomers. The table below is the historical dataset that drives the entire argument; it is, in effect, Werner's laboratory notebook compressed into four rows.
| Original formula | Colour | AgCl precipitated per mole | Werner formulation |
|---|---|---|---|
| $\ce{CoCl3.6NH3}$ | Yellow | 3 mol | $\ce{[Co(NH3)6]Cl3}$ |
| $\ce{CoCl3.5NH3}$ | Purple | 2 mol | $\ce{[CoCl(NH3)5]Cl2}$ |
| $\ce{CoCl3.4NH3}$ | Green | 1 mol | $\ce{[CoCl2(NH3)4]Cl}$ |
| $\ce{CoCl3.4NH3}$ | Violet | 1 mol | $\ce{[CoCl2(NH3)4]Cl}$ |
Two patterns leap out. First, the number of moles of AgCl precipitated falls 3, 2, 1 as ammonia molecules are progressively replaced by chloride. Second, no matter how the ammonia and chloride are distributed, the cobalt ion always holds six groups directly. These two regularities are the experimental skeleton on which the theory hangs, and the next two sections take each in turn.
The AgNO₃ precipitation evidence
When excess silver nitrate is added in the cold, silver ions snatch only the chloride that is free in solution, precipitating it as insoluble silver chloride. Chloride that is locked onto the metal is shielded and does not react. The reaction Werner used as his probe is simply:
$\ce{Cl^-_{(free)} + Ag^+ -> AgCl v}$
Read against the table, the count of AgCl moles becomes a direct headcount of free chloride. The yellow compound releases all three chlorides, so three are free and ionisable. The purple compound releases only two; one chloride has moved into the metal's grip. The green and violet compounds release just one; two chlorides are now held fast. The figure below renders Werner's series as he reasoned about it — the bracketed sphere is inert, the chlorides outside it are the ones the silver ion can reach.
This is precisely the relationship NEET tests directly: given the original formulae, order the stoichiometries of AgCl. The answer is dictated entirely by how many chlorides sit outside the bracket.
The conductivity evidence
Precipitation tells you how many chlorides are free; conductivity tells you the total number of ions in solution, and the two must agree. The molar conductivity of an electrolyte rises with the number of ions it produces on dissolving. Werner measured this for each member of the series and found the values fell in a clean staircase, exactly tracking the AgCl data.
| Complex | Dissociation in water | Total ions | Electrolyte type |
|---|---|---|---|
| $\ce{[Co(NH3)6]Cl3}$ | $\ce{[Co(NH3)6]^3+ + 3Cl^-}$ | 4 | 1 : 3 (highest conductivity) |
| $\ce{[CoCl(NH3)5]Cl2}$ | $\ce{[CoCl(NH3)5]^2+ + 2Cl^-}$ | 3 | 1 : 2 |
| $\ce{[CoCl2(NH3)4]Cl}$ | $\ce{[CoCl2(NH3)4]^+ + Cl^-}$ | 2 | 1 : 1 |
| $\ce{[CoCl3(NH3)3]}$ | does not ionise | 0 | non-electrolyte |
The fourth row — $\ce{CoCl3.3NH3}$, formulated as $\ce{[CoCl3(NH3)3]}$ — is the decisive confirmation. With all three chlorides pulled inside the sphere, there is nothing left to ionise. Werner predicted this compound would be a non-electrolyte that gives no AgCl, and experiment obliged. A theory that not only explains existing data but successfully forecasts the behaviour of a new compound has earned its keep.
Werner's "groups bound to the metal" are formalised as ligands, denticity and coordination number — see Important Terms: Ligands & Coordination Number.
Primary vs secondary valence
To organise these observations Werner introduced two valences acting at once. The primary valence is the ionisable valence; it is satisfied only by negative ions and is responsible for the charge that the counter ions balance. The secondary valence is the non-ionisable valence; it is satisfied by neutral molecules or by negative ions held directly on the metal, and it is fixed for a given metal ion. Crucially, primary valence is non-directional, whereas secondary valence is directed to fixed positions in space — which is what gives a complex its definite shape.
| Feature | Primary valence | Secondary valence |
|---|---|---|
| Ionisable? | Yes (ionisable) | No (non-ionisable) |
| Satisfied by | Negative ions only | Neutral molecules or negative ions |
| Directional? | Non-directional | Directed to fixed spatial positions |
| Fixed for the metal? | Varies (oxidation state) | Fixed (coordination number) |
| Modern equivalent | Oxidation state | Coordination number |
A single chloride can serve in both roles at once. In $\ce{[CoCl(NH3)5]Cl2}$ the coordinated chloride satisfies one secondary valence and simultaneously contributes to satisfying the primary valence — it is held inside the sphere yet still neutralises part of the metal's positive charge. This dual service is the subtlety that distinguishes a coordinated chloride from a counter-ion chloride.
Ionisable charge is set by what is OUTSIDE the bracket
Students count every chloride in the formula when asked for ionisable chloride. Only chloride outside the square bracket ionises. Inside, it is a secondary-valence ligand and is invisible to $\ce{Ag^+}$.
In $\ce{[CoCl2(NH3)4]Cl}$: secondary valence = 6 (two Cl + four NH₃), but ionisable chloride = 1 → only 1 mol AgCl.
The coordination sphere
The metal ion together with the groups attached by secondary valences forms a single unit that Werner enclosed in square brackets — the coordination sphere. NCERT defines this enclosed species as the coordination entity or complex; the ions written outside the brackets are the counter ions. In $\ce{[Co(NH3)5Cl]Cl2}$, the bracketed $\ce{[Co(NH3)5Cl]^2+}$ is the sphere and the two outer $\ce{Cl^-}$ are counter ions. The sphere does not dissociate under reaction conditions, which is exactly why its internal chloride escapes the silver nitrate test.
From aqueous-solution behaviour, assign the secondary valence of cobalt in $\ce{CoCl3.4NH3}$, which precipitates 1 mol AgCl per mole.
One mole of AgCl means one ionisable (outer) chloride, so the formulation is $\ce{[CoCl2(NH3)4]Cl}$. Inside the sphere sit two chlorides and four ammonia molecules — six groups in all. Hence the secondary valence (coordination number) is 6, while the primary valence remains 3 (the oxidation state of Co). This matches NCERT Example 5.1, which assigns secondary valence 6 to $\ce{CoCl3.4NH3}$.
Werner's postulates, stated
With the experimental groundwork laid, the theory of 1898 can be set out as NCERT lists it. The four postulates are compact but each carries weight:
| # | Postulate |
|---|---|
| 1 | In coordination compounds metals show two types of linkages — primary and secondary valences. |
| 2 | The primary valences are normally ionisable and are satisfied by negative ions. |
| 3 | The secondary valences are non-ionisable, satisfied by neutral molecules or negative ions; the secondary valence equals the coordination number and is fixed for a metal. |
| 4 | The groups bound by secondary linkages have characteristic spatial arrangements corresponding to the coordination number (now called coordination polyhedra). |
The fourth postulate is the most far-reaching. By asserting that the secondary linkages point to fixed positions, Werner made geometry — and therefore isomerism — an inescapable consequence of his theory rather than an afterthought. The very existence of two distinctly coloured forms of $\ce{CoCl3.4NH3}$ was his proof that the four ammonia and two chloride ligands occupy definite, distinguishable sites.
Geometry from Werner's work
Werner further proposed that octahedral, tetrahedral and square planar shapes are the common arrangements for transition-metal complexes. A coordination number of six implies an octahedron — the six ligand positions placed symmetrically around the metal, four in a plane and one each above and below. The cobalt-ammine cations $\ce{[Co(NH3)6]^3+}$, $\ce{[CoCl(NH3)5]^2+}$ and $\ce{[CoCl2(NH3)4]^+}$ are all octahedral on this basis. Coordination number four splits into two geometries: $\ce{[Ni(CO)4]}$ is tetrahedral while $\ce{[PtCl4]^2-}$ is square planar.
Werner went further still: by isolating optical isomers of certain complexes — compounds that rotate plane-polarised light — he demonstrated that the spatial arrangement was genuinely three-dimensional and not a flat structure. He was the first to discover optical activity in coordination compounds, sealing the case for the octahedron over rival planar models.
Modern interpretation
The language has changed but the structure Werner described survives intact. Two translations carry his vocabulary into modern usage:
| Werner's term | Modern term | What it now means |
|---|---|---|
| Primary valence | Oxidation state | The formal charge on the central metal ion. |
| Secondary valence | Coordination number | The number of donor atoms directly bonded to the metal. |
| Secondary linkage | Coordinate (dative) bond | A bond formed by a ligand lone pair donated to the metal. |
| Fixed spatial arrangement | Coordination polyhedron | Octahedron, tetrahedron or square plane. |
The one thing Werner could not name was the nature of the secondary linkage. We now understand it as a coordinate bond in which the ligand acts as a Lewis base donating a lone pair into vacant metal orbitals — the central ion being a Lewis acid. That bonding picture is supplied by later models, most directly by Valence Bond Theory, which assigns specific hybrid orbitals to each geometry Werner deduced.
Limitations of the theory
Werner's framework is descriptive and structural; it stops short of explaining bonding and electronic properties. Its boundaries are worth knowing precisely because the rest of the chapter exists to push past them.
| What Werner's theory cannot explain | Resolved by |
|---|---|
| The actual nature of the metal–ligand bond | Valence Bond Theory; Crystal Field Theory |
| Why only certain metals form stable complexes | Electronic configuration of transition metals |
| The colour of coordination compounds | Crystal Field Theory (d–d transitions) |
| The magnetic behaviour of complexes | VBT and CFT (counting unpaired electrons) |
| Why a given geometry is preferred | Orbital hybridisation and field splitting |
None of this diminishes the achievement. Werner extracted three-dimensional structure from nothing more than precipitation, conductivity and colour, and every later theory of coordination chemistry was built to fill the one box he left open: the bond itself.
Werner's theory in one screen
- A metal shows two valences: primary (ionisable, = oxidation state) and secondary (non-ionisable, = coordination number, fixed).
- AgNO₃ test: only chloride outside the bracket precipitates as AgCl. $\ce{[Co(NH3)6]Cl3}$ → 3, $\ce{[CoCl(NH3)5]Cl2}$ → 2, $\ce{[CoCl2(NH3)4]Cl}$ → 1.
- Conductivity rises with total ions: 1:3 > 1:2 > 1:1 > non-electrolyte ($\ce{[CoCl3(NH3)3]}$).
- The coordination sphere (square brackets) is an inert single entity; ions outside are counter ions.
- Secondary valences are directional → fixed geometry (octahedral for CN 6) and isomerism, including optical isomers.
- Limitation: explains structure, not the bond, colour or magnetism — left to VBT and CFT.