What is a coordination compound?
Some metal ions like to hold on to molecules or ions that have spare electron pairs. The group formed is called a complex. A compound that contains a complex is a coordination compound.
- Central atom or ion: the metal in the middle, for example Co³⁺ in [Co(NH₃)₆]³⁺. It accepts electron pairs, so it is a Lewis acid.
- Ligand: an ion or molecule joined to the metal. It gives an electron pair, so it is a Lewis base.
- Donor atom: the actual atom of the ligand that touches the metal (N in NH₃, C in CN⁻).
A double salt like Mohr's salt breaks fully into simple ions in water. A complex like [Fe(CN)₆]⁴⁻ does not; it stays as one unit. That is the easy test to tell them apart.
Werner's theory
Alfred Werner (1893) studied cobalt chloride and ammonia compounds. He added silver nitrate and counted how much AgCl came out. From this he said:
- A metal shows two kinds of valence. Primary valence is ionisable, is shown by negative ions outside the bracket and equals the oxidation state. Secondary valence is non-ionisable, is fixed for a metal and equals the coordination number.
- Ligands satisfying secondary valence point in fixed directions in space. So complexes have shapes: octahedral for 6, tetrahedral or square planar for 4.
Example: CoCl₃·6NH₃ gives 3 AgCl, so it is [Co(NH₃)₆]Cl₃. CoCl₃·5NH₃ gives only 2 AgCl, so one Cl is inside: [Co(NH₃)₅Cl]Cl₂. CoCl₃·4NH₃ gives 1 AgCl: [Co(NH₃)₄Cl₂]Cl.
Limits: Werner could not explain why only some metals form complexes, why the bonds point in fixed directions, or why complexes are coloured and magnetic. Later theories (VBT, CFT) answered these.
Ligands and their types
Ligands are sorted by how many donor atoms they use (their denticity, 'number of teeth'):
- Unidentate (one donor): Cl⁻, H₂O, NH₃, CN⁻, CO.
- Didentate (two donors): ethane-1,2-diamine (en, H₂NCH₂CH₂NH₂), oxalate (C₂O₄²⁻).
- Polydentate (many): EDTA⁴⁻ is hexadentate, it holds the metal with 6 atoms.
A di- or polydentate ligand that forms a ring with the metal is a chelating ligand. Chelate complexes are more stable than similar complexes with unidentate ligands.
An ambidentate ligand has two different atoms that can donate, but it uses only one at a time: NO₂⁻ (through N or O), SCN⁻ (through S or N).
Homoleptic complex: only one kind of ligand, like [Co(NH₃)₆]³⁺. Heteroleptic: more than one kind, like [Co(NH₃)₄Cl₂]⁺.
Coordination number, coordination sphere and oxidation state
Coordination number (CN)
The number of donor atoms directly bonded to the metal. Count atoms, not ligands: in [Co(en)₃]³⁺ there are 3 ligands but 6 donor N atoms, so CN = 6.
Coordination sphere and counter ions
The metal plus its ligands, written in square brackets, is the coordination sphere. Ions outside the bracket are counter ions. In K₄[Fe(CN)₆], [Fe(CN)₆]⁴⁻ is the sphere and K⁺ are counter ions.
Coordination polyhedron
The shape made by the donor atoms around the metal: octahedral, square planar or tetrahedral.
Oxidation number of the metal
The charge the metal would have if all ligands were taken away with their electron pairs. Sum of charges = charge of the complex. Neutral ligands (NH₃, H₂O, CO, en) count 0.
IUPAC nomenclature of coordination compounds
Writing the formula
- Metal first, then ligands in alphabetical order of their symbols, all inside [ ].
- Polyatomic ligands in ( ). Charge of a complex ion written outside as a superscript.
Writing the name
- Name the cation first, then the anion (like 'sodium chloride').
- Inside the complex, name ligands first in alphabetical order, then the metal.
- Anionic ligands end in -o: chlorido, cyanido, hydroxido, oxalato. Neutral ones keep their name, except aqua (H₂O), ammine (NH₃), carbonyl (CO), nitrosyl (NO).
- Prefixes di, tri, tetra… tell the number. If the ligand name already has a number (like ethane-1,2-diamine), use bis, tris, tetrakis and brackets.
- Oxidation state in Roman numerals in ( ) after the metal.
- If the complex is an anion, the metal ends in -ate: cobaltate, zincate. Some use Latin roots: ferrate (Fe), cuprate (Cu), argentate (Ag), plumbate (Pb), stannate (Sn), aurate (Au).
- Neutral complex: one word, no ion name, e.g. tetracarbonylnickel(0).
Prefixes like di, tri are ignored while arranging alphabetically: tetraammine comes before dichlorido because 'a' comes before 'c'.
Try it: build a complex at home
Take one big ball of clay (the metal) and six toothpicks with small balls on their ends (ligands). Push them in: up, down, left, right, front, back. You have an octahedron with CN = 6. Now join two neighbouring small balls with a bent straw: that is one 'en' ligand using two hands. Three straws = [M(en)₃]. In the 3D above, pick [Co(en)₃]³⁺ and count: 3 ligands, 6 donor atoms.
Key formulas and definitions
- Charge on complex = oxidation state of metal + sum of ligand charges
- Coordination number = number of donor atoms bonded to the metal
- Primary valence ≈ oxidation state (ionisable) · Secondary valence = coordination number
- Name order: [cation] then [anion]; inside: ligands (alphabetical) → metal (+ -ate if anion) → (oxidation state)
- Number of AgCl from AgNO₃ = number of Cl⁻ outside the bracket
Worked examples
1. Find the oxidation state of Fe in K₃[Fe(CN)₆].
Step 1: 3 K⁺ outside give +3, so the complex ion is [Fe(CN)₆]³⁻. Step 2: Let Fe = x. Six CN⁻ give −6. Step 3: x + (−6) = −3, so x = +3. Answer: Fe is +3.
2. Find the coordination number and oxidation state of Co in [Co(en)₂Cl₂]⁺.
Step 1: Each en has 2 donor N atoms: 2 × 2 = 4. Two Cl give 2. CN = 4 + 2 = 6. Step 2: en is neutral, Cl⁻ is −1. x + 0 + 2(−1) = +1. Step 3: x = +3. Answer: CN = 6, Co is +3.
3. One mole of CoCl₃·5NH₃ gives 2 moles of AgCl with excess AgNO₃. Write its formula and name.
Step 1: 2 AgCl means 2 Cl⁻ are outside (free). Step 2: The third Cl is inside with 5 NH₃, giving CN 6. Step 3: Formula [Co(NH₃)₅Cl]Cl₂. Step 4: Ligands alphabetically: ammine (a) before chlorido (c). Co = +3. Answer: pentaamminechloridocobalt(III) chloride.
4. Name K₂[Zn(OH)₄].
Step 1: Cation K⁺ is named first: potassium. Step 2: Complex is an anion [Zn(OH)₄]²⁻, so zinc becomes zincate. Step 3: x + 4(−1) = −2, x = +2. Answer: potassium tetrahydroxidozincate(II).
5. Write the formula of tetraamminediaquacobalt(III) chloride.
Step 1: Ligands: 4 NH₃, 2 H₂O. Metal Co(III). Step 2: Charge of complex = +3 + 0 + 0 = +3. Step 3: Needs 3 Cl⁻ outside. Answer: [Co(NH₃)₄(H₂O)₂]Cl₃.
6. Name [Pt(NH₃)₂Cl(NO₂)] and give the number of ions it makes in water.
Step 1: Ligands: ammine (a), chlorido (c), nitrito-N (n) — already alphabetical. Step 2: Pt: x + 0 − 1 − 1 = 0, x = +2. Step 3: No brackets outside, so it is neutral: one word. Answer: diamminechloridonitrito-N-platinum(II). It gives 0 ions (non-electrolyte).
Common mistakes
- Counting ligands instead of donor atoms for CN. [Co(en)₃]³⁺ has 3 ligands but CN = 6.
- Using 'di', 'tri' when arranging alphabetically. Arrange by the ligand name: ammine before chlorido, whatever the prefix.
- Forgetting '-ate' for anionic complexes: [Fe(CN)₆]⁴⁻ is hexacyanidoferrate(II), not hexacyanidoiron(II).
- Thinking Cl inside the bracket reacts with AgNO₃. Only Cl⁻ outside (counter ions) give AgCl.