Chemistry · Coordination Compounds

Werner's Theory of Coordination Compounds

Before the bond was understood, the geometry was already known. Working only with colour, precipitation and conductivity, Alfred Werner deduced in 1893 that a metal carries two distinct kinds of valence — and from that single idea built the entire architecture of coordination chemistry. This is the opening section of the NCERT Class 12 unit on Coordination Compounds (§5.1), and it is the conceptual gate every NEET question on the chapter passes through.

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.

Conceptual trap

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 formulaColourAgCl precipitated per moleWerner formulation
$\ce{CoCl3.6NH3}$Yellow3 mol$\ce{[Co(NH3)6]Cl3}$
$\ce{CoCl3.5NH3}$Purple2 mol$\ce{[CoCl(NH3)5]Cl2}$
$\ce{CoCl3.4NH3}$Green1 mol$\ce{[CoCl2(NH3)4]Cl}$
$\ce{CoCl3.4NH3}$Violet1 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.

Werner cobalt-ammine series and AgCl precipitation Three cobalt-ammine complexes shown with chlorides inside the coordination sphere held fast and chlorides outside ionising to give 3, 2 and 1 mole of silver chloride respectively. [Co(NH₃)₆] Cl⁻   Cl⁻   Cl⁻ three free chlorides + AgNO₃ 3 AgCl ↓ 1 : 3 electrolyte [CoCl(NH₃)₅] Cl⁻   Cl⁻ two free chlorides + AgNO₃ 2 AgCl ↓ 1 : 2 electrolyte [CoCl₂(NH₃)₄] Cl⁻ one free chloride + AgNO₃ 1 AgCl ↓ 1 : 1 electrolyte Teal box = coordination sphere (inert)  ·  chlorides outside it = ionisable
Figure 1. Werner's cobalt-ammine series read through silver nitrate. As ammonia is replaced by chloride inside the sphere, the count of ionisable chloride — and therefore the AgCl yield — falls from three to one.

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.

ComplexDissociation in waterTotal ionsElectrolyte type
$\ce{[Co(NH3)6]Cl3}$$\ce{[Co(NH3)6]^3+ + 3Cl^-}$41 : 3 (highest conductivity)
$\ce{[CoCl(NH3)5]Cl2}$$\ce{[CoCl(NH3)5]^2+ + 2Cl^-}$31 : 2
$\ce{[CoCl2(NH3)4]Cl}$$\ce{[CoCl2(NH3)4]^+ + Cl^-}$21 : 1
$\ce{[CoCl3(NH3)3]}$does not ionise0non-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.

Build the vocabulary

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.

FeaturePrimary valenceSecondary valence
Ionisable?Yes (ionisable)No (non-ionisable)
Satisfied byNegative ions onlyNeutral molecules or negative ions
Directional?Non-directionalDirected to fixed spatial positions
Fixed for the metal?Varies (oxidation state)Fixed (coordination number)
Modern equivalentOxidation stateCoordination 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.

High-yield distinction

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.

Worked example

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
1In coordination compounds metals show two types of linkages — primary and secondary valences.
2The primary valences are normally ionisable and are satisfied by negative ions.
3The 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.
4The 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.

Octahedral coordination sphere of a six-coordinate cobalt-ammine complex A central cobalt ion bonded to six ligand positions arranged octahedrally: four in an equatorial plane and one axial above and one below, illustrating coordination number six. L L L L L L M Six secondary valences → octahedral coordination sphere axial axial equatorial
Figure 2. The octahedral coordination sphere implied by a secondary valence of six. M is the central metal (e.g. Co³⁺); each L is a ligand donor occupying a fixed spatial site — four equatorial, two axial.

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 termModern termWhat it now means
Primary valenceOxidation stateThe formal charge on the central metal ion.
Secondary valenceCoordination numberThe number of donor atoms directly bonded to the metal.
Secondary linkageCoordinate (dative) bondA bond formed by a ligand lone pair donated to the metal.
Fixed spatial arrangementCoordination polyhedronOctahedron, 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 explainResolved by
The actual nature of the metal–ligand bondValence Bond Theory; Crystal Field Theory
Why only certain metals form stable complexesElectronic configuration of transition metals
The colour of coordination compoundsCrystal Field Theory (d–d transitions)
The magnetic behaviour of complexesVBT and CFT (counting unpaired electrons)
Why a given geometry is preferredOrbital 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.

Quick recap

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.

NEET PYQ Snapshot — Werner's Theory of Coordination Compounds

Real NEET questions that turn on Werner's ionisable-chloride and conductivity ideas.

NEET 2017 · Q.23

The correct order of the stoichiometries of AgCl formed when AgNO₃ in excess is treated with the complexes $\ce{CoCl3.6NH3}$, $\ce{CoCl3.5NH3}$, $\ce{CoCl3.4NH3}$ respectively is:

  1. 2AgCl, 3AgCl, 1AgCl
  2. 1AgCl, 3AgCl, 2AgCl
  3. 3AgCl, 1AgCl, 2AgCl
  4. 3AgCl, 2AgCl, 1AgCl
Answer: (4) 3AgCl, 2AgCl, 1AgCl

Only outer (ionisable) chloride precipitates. $\ce{[Co(NH3)6]Cl3 -> 3AgCl}$; $\ce{[Co(NH3)5Cl]Cl2 -> 2AgCl}$; $\ce{[Co(NH3)4Cl2]Cl -> 1AgCl}$. This is Werner's cobalt-ammine series tested verbatim.

NEET 2025 · Q.58

Out of the following complex compounds, which will have the minimum conductance in solution?

  1. $\ce{[Co(NH3)5Cl]Cl2}$
  2. $\ce{[Co(NH3)4Cl2]Cl}$
  3. $\ce{[Co(NH3)3Cl3]}$
  4. $\ce{[Co(NH3)6]Cl3}$
Answer: (3) $\ce{[Co(NH3)3Cl3]}$ — a non-electrolyte

Conductance scales with the number of ions released. $\ce{[Co(NH3)3Cl3]}$ has all three chlorides inside the sphere, ionises to give no ions, and so conducts least — the exact non-electrolyte case Werner predicted. (NTA marked options 2 and 3 in its bonus key; the conductivity principle is the takeaway.)

FAQs — Werner's Theory of Coordination Compounds

The questions students most often get wrong on this subtopic.

What is the difference between primary and secondary valence in Werner's theory?

Primary valence is the ionisable valence, satisfied only by negative ions, and in modern terms equals the oxidation state of the metal. Secondary valence is the non-ionisable valence, satisfied by neutral molecules or negative ions held directly to the metal, and equals the coordination number. Primary valence is non-directional, while secondary valence is directed to fixed positions in space, giving the complex its definite geometry.

Why does CoCl3.6NH3 give 3 mol of AgCl but CoCl3.4NH3 gives only 1 mol?

Only chloride ions outside the coordination sphere are ionisable and precipitate as AgCl with AgNO3. In [Co(NH3)6]Cl3 all three chlorides are outside the sphere, so 3 mol AgCl form. In [Co(NH3)4Cl2]Cl two chlorides occupy secondary valence positions inside the sphere (non-ionisable) and only one chloride is outside, so just 1 mol AgCl forms.

What is the coordination sphere?

The coordination sphere is the central metal ion together with the ligands bound to it by secondary valences, written inside square brackets, for example [Co(NH3)6]. It behaves as a single non-dissociating entity in solution. Ions written outside the square brackets are counter ions, which are ionisable and account for the electrolytic behaviour of the compound.

How does conductivity evidence support Werner's theory?

The molar conductivity of a solution rises with the number of ions produced. [Co(NH3)6]Cl3 gives four ions and behaves as a 1:3 electrolyte with high conductivity, [Co(NH3)5Cl]Cl2 gives three ions as a 1:2 electrolyte, and [Co(NH3)4Cl2]Cl gives two ions as a 1:1 electrolyte. The falling conductivity exactly tracks the falling number of ionisable chlorides, confirming Werner's distinction between ionisable and non-ionisable groups.

What is the modern interpretation of Werner's primary and secondary valence?

In modern terminology, primary valence corresponds to the oxidation state of the central metal, and secondary valence corresponds to the coordination number. The non-ionisable secondary linkages are now understood as coordinate (dative) bonds from ligand donor atoms to the metal, and Werner's fixed spatial arrangements are called coordination polyhedra.

What are the main limitations of Werner's theory?

Werner's theory correctly described the geometry, ionisation and isomerism of complexes, but it could not explain the nature of the metal-ligand bond, why only certain metals form stable complexes, the directional preferences in terms of orbitals, or the colour and magnetic properties of complexes. These gaps were later addressed by Valence Bond Theory and Crystal Field Theory.