Skip to content
Skip to page content
soylai.com

Coordination Compounds — Notes

5 sections 7 min readBeta

1. Werner’s theory and key terms

Double salts (Mohr’s salt, carnallite) give all their simple ions in water; coordination compounds keep the complex ion intact (KX4[Fe(CN)X6]\ce{K4[Fe(CN)6]} gives no free FeX2+\ce{Fe^2+} or CNX−\ce{CN-}).

Werner’s theory: a metal shows primary valency (ionisable; equals the oxidation state; satisfied by anions) and secondary valency (non-ionisable; equals the coordination number; satisfied by ligands; directed in space). Silver nitrate precipitates only chloride outside the coordination sphere: CoClX3 ⋅ 6 NHX3\ce{CoCl3.6NH3} → 3 AgCl, [Co(NHX3)X6]ClX3\ce{[Co(NH3)6]Cl3}; CoClX3 ⋅ 5 NHX3\ce{CoCl3.5NH3} → 2, [CoCl(NHX3)X5]ClX2\ce{[CoCl(NH3)5]Cl2}; CoClX3 ⋅ 4 NHX3\ce{CoCl3.4NH3} → 1, [CoClX2(NHX3)X4]Cl\ce{[CoCl2(NH3)4]Cl}.

Terms: coordination entity, central atom/ion, ligand (electron-pair donor), coordination number (number of donor atoms bonded), coordination sphere, counter ions, coordination polyhedron, oxidation number, homoleptic and heteroleptic complexes.

Ligands: unidentate (ClX−\ce{Cl-}, HX2O\ce{H2O}, NHX3\ce{NH3}), didentate (en, oxalate), polydentate (EDTA⁴⁻, hexadentate). A chelate forms when a di- or polydentate ligand closes a ring with the metal; chelates are extra stable. Ambidentate ligands bind through either of two atoms: NOX2X−\ce{NO2-}/ONOX−\ce{ONO-}, SCNX−\ce{SCN-}/NCSX−\ce{NCS-}.

Key terms

Ligand

An ion or molecule that donates a pair of electrons to the central metal atom or ion.

Coordination number

The number of ligand donor atoms directly bonded to the central atom.

Chelate

A complex in which a di- or polydentate ligand forms a ring with the metal.

Ambidentate ligand

A ligand that can bond through either of two different donor atoms.

2. IUPAC nomenclature

  1. Name the cation first, then the anion.
  2. Inside the complex, name ligands in alphabetical order (ignoring di-, tri-, bis-, tris-), then the metal.
  3. Prefixes: di-, tri-, tetra-, …; for ligands whose names contain a number (ethane-1,2-diamine), use bis-, tris-, tetrakis- with brackets.
  4. Anionic ligands end in -o/-ido (chlorido, cyanido, hydroxido, oxalato); neutral ligands keep their names except aqua, ammine, carbonyl, nitrosyl.
  5. Give the metal’s oxidation state in Roman numerals.
  6. In an anionic complex the metal ends in -ate (ferrate, cuprate, argentate, aurate, plumbate, stannate, cobaltate, nickelate).
  7. Ambidentate ligands: nitrito-N / nitrito-O, thiocyanato-S / thiocyanato-N.

Examples: [CoClX2(NHX3)X4]Cl\ce{[CoCl2(NH3)4]Cl} tetraamminedichloridocobalt(III) chloride; KX3[Fe(CN)X6]\ce{K3[Fe(CN)6]} potassium hexacyanidoferrate(III); [Ni(CO)X4]\ce{[Ni(CO)4]} tetracarbonylnickel(0); [Co(en)X3]ClX3\ce{[Co(en)3]Cl3} tris(ethane-1,2-diamine)cobalt(III) chloride; KX3[Al(CX2OX4)X3]\ce{K3[Al(C2O4)3]} potassium trioxalatoaluminate(III).

Table of four formulas and their IUPAC names
FormulaIUPAC name
[Ag(NHX3)X2]Cl\ce{[Ag(NH3)2]Cl}Diamminesilver(I) chloride
KX2[NiClX4]\ce{K2[NiCl4]}Potassium tetrachloridonickelate(II)
[Pt(NHX3)X2Cl(NOX2)]\ce{[Pt(NH3)2Cl(NO2)]}Diamminechloridonitrito-N-platinum(II)
[Cu(NHX3)X4]SOX4\ce{[Cu(NH3)4]SO4}Tetraamminecopper(II) sulfate

Key terms

-ate ending

Used for the metal when the complex ion is negatively charged.

3. Isomerism

Structural isomerism:

  • Ionisation: ligand and counter ion interchange — [Co(NHX3)X5(SOX4)]Br\ce{[Co(NH3)5(SO4)]Br} / [CoBr(NHX3)X5]SOX4\ce{[CoBr(NH3)5]SO4}.
  • Linkage: ambidentate ligand bonds through a different atom — nitrito-N / nitrito-O.
  • Coordination: ligands interchange between cationic and anionic entities — [Co(NHX3)X6][Cr(CN)X6]\ce{[Co(NH3)6][Cr(CN)6]} / [Cr(NHX3)X6][Co(CN)X6]\ce{[Cr(NH3)6][Co(CN)6]}.
  • Solvate (hydrate): water inside or outside the sphere — [Cr(HX2O)X6]ClX3\ce{[Cr(H2O)6]Cl3} (violet) / [CrCl(HX2O)X5]ClX2 ⋅ HX2O\ce{[CrCl(H2O)5]Cl2.H2O} (grey-green).

Stereoisomerism:

  • Geometrical: square planar [MXX2LX2]\ce{[MX2L2]} and octahedral [MXX2LX4]\ce{[MX2L4]} give cis and trans; octahedral [MAX3BX3]\ce{[MA3B3]} gives fac and mer. Tetrahedral complexes show none.
  • Optical: non-superimposable mirror images (d and l), e.g. [Co(en)X3]X3+\ce{[Co(en)3]^3+} and cis-[CoClX2(en)X2]X+\ce{[CoCl2(en)2]+}; trans-[CoClX2(en)X2]X+\ce{[CoCl2(en)2]+} is optically inactive.
Chlorine atoms are drawn green and nitrogen-bonded ligands blue; the dashed bond points away from the viewer.

Key terms

Linkage isomerism

Isomerism caused by an ambidentate ligand bonding through different donor atoms.

Geometrical isomerism

Isomerism due to different relative positions of ligands (cis/trans, fac/mer).

Optical isomers

Non-superimposable mirror-image forms that rotate plane-polarised light in opposite directions.

4. Bonding: valence bond theory and crystal field theory

VBT: the metal ion uses hybrid orbitals to accept ligand electron pairs. CN 4: sp3sp^3 tetrahedral ([NiClX4]X2−\ce{[NiCl4]^2-}, paramagnetic) or dsp2dsp^2 square planar ([Ni(CN)X4]X2−\ce{[Ni(CN)4]^2-}, diamagnetic). CN 6: d2sp3d^2sp^3 inner-orbital/low spin ([Co(NHX3)X6]X3+\ce{[Co(NH3)6]^3+}, diamagnetic) or sp3d2sp^3d^2 outer-orbital/high spin ([CoFX6]X3−\ce{[CoF6]^3-}, 4 unpaired). Limitations: no explanation of colour; cannot predict tetrahedral vs square planar; no distinction of weak and strong ligands.

CFT: ligands are point charges. Octahedral: ege_g (dx2−y2d_{x^2-y^2}, dz2d_{z^2}) at +0.6Δo+0.6\Delta_o, t2gt_{2g} at −0.4Δo-0.4\Delta_o. Tetrahedral: e lower, t2t_2 higher, Δt≈49Δo\Delta_t \approx \tfrac{4}{9}\Delta_o — always high spin.

Spectrochemical series: IX−<BrX−<SCNX−<ClX−<SX2−<FX−<OHX−<CX2OX4X2−<HX2O<NCSX−<edta4−<NHX3<en<CNX−<CO\ce{I-} < \ce{Br-} < \ce{SCN-} < \ce{Cl-} < \ce{S^2-} < \ce{F-} < \ce{OH-} < \ce{C2O4^2-} < \ce{H2O} < \ce{NCS-} < \text{edta}^{4-} < \ce{NH3} < \text{en} < \ce{CN-} < \ce{CO}. If Δo<P\Delta_o < P: high spin (d4d^4: t2g3eg1t_{2g}^3e_g^1); if Δo>P\Delta_o > P: low spin (t2g4eg0t_{2g}^4e_g^0).

Colour: d–d transitions absorb visible light; the complementary colour is seen ([Ti(HX2O)X6]X3+\ce{[Ti(H2O)6]^3+} absorbs about 498 nm and looks violet; [Ni(HX2O)X6]X2+\ce{[Ni(H2O)6]^2+} green → [Ni(en)X3]X2+\ce{[Ni(en)3]^2+} violet). Anhydrous CuSOX4\ce{CuSO4} is white. Limitation of CFT: anionic ligands should split most, yet halides are weak; covalent bonding is ignored.

Schematic energy levels; delta-t is about four-ninths of delta-o.
Table of five complexes with hybridisation, shape and unpaired electrons
ComplexHybridisationShapeUnpaired e⁻
[Co(NH₃)₆]³⁺d²sp³Octahedral0
[CoF₆]³⁻sp³d²Octahedral4
[Ni(CN)₄]²⁻dsp²Square planar0
[NiCl₄]²⁻sp³Tetrahedral2
[Ni(CO)₄]sp³Tetrahedral0

Formulas

  • Tetrahedral splitting
    Δt≈49Δo\Delta_t \approx \tfrac{4}{9}\Delta_o
  • Spin-only moment
    μ=n(n+2) BM\mu = \sqrt{n(n+2)}\ \text{BM}

Key terms

Crystal-field splitting energy

Energy gap between the two sets of d orbitals produced by the ligand field (Δo or Δt).

Spectrochemical series

Ligands arranged in order of increasing crystal-field splitting.

Low-spin complex

A complex in which electrons pair in the lower set because Δ is larger than the pairing energy.

5. Metal carbonyls and applications

Metal carbonyls: [Ni(CO)X4]\ce{[Ni(CO)4]} tetrahedral, [Fe(CO)X5]\ce{[Fe(CO)5]} trigonal bipyramidal, [Cr(CO)X6]\ce{[Cr(CO)6]} octahedral; [MnX2(CO)X10]\ce{[Mn2(CO)10]} and [CoX2(CO)X8]\ce{[Co2(CO)8]} have metal–metal bonds. Synergic bonding: σ donation from the carbon lone pair into an empty metal orbital, plus π back-donation from a filled metal d orbital into the empty π* orbital of CO; the M–C bond is strengthened and the C–O bond weakened.

Applications: estimation of hardness of water with EDTA (CaX2+\ce{Ca^2+}, MgX2+\ce{Mg^2+}); extraction of silver and gold as cyanide complexes; purification of nickel by the Mond process via [Ni(CO)X4]\ce{[Ni(CO)4]}; Wilkinson’s catalyst [RhCl(PPhX3)X3]\ce{[RhCl(PPh3)3]} for hydrogenation; photography (AgBr dissolved by hypo as [Ag(SX2OX3)X2]X3−\ce{[Ag(S2O3)2]^3-}); medicine (cisplatin against cancer; EDTA to remove lead); biology (chlorophyll Mg, haemoglobin Fe, vitamin B12 Co).

Key terms

Synergic bonding

Mutually reinforcing σ donation and π back-donation between a metal and a ligand such as CO.

Mond process

Purification of nickel through formation and decomposition of volatile tetracarbonylnickel.

Exam tips

Common mistakes

  • Counting ligands instead of donor atoms for the coordination number.
  • Ordering ligands by charge or by the prefix (tetra-) instead of alphabetically by ligand name.
  • Writing "ammonia" or "amine" instead of ammine, or forgetting "-ate" for anionic complexes.
  • Starting VBT/CFT from the atom's configuration instead of the ion's (Co³⁺ is 3d⁶).
  • Calling [NiCl₄]²⁻ square planar (it is tetrahedral, sp³).
  • Saying the colour seen is the colour absorbed.

How marks are usually awarded

  • 1-mark items: correct option, name, formula, coordination number or oxidation state.
  • Naming/formula questions: ½ mark each for correct ligand order, prefixes, metal with oxidation state, ending.
  • VBT questions: d count (½) + hybridisation (1) + shape (½) + magnetism (1).
  • CFT questions: splitting diagram (1) + configuration in t₂g/e_g (1) + spin state or colour reason (1).