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MHT-CET Chemistry · Coordination Compounds

Ligands: Denticity, Donor Atoms, Charge and Field Strength

A ligand is an ion or molecule that donates one or more electron pairs to the central metal; its denticity is the number of donor atoms it uses at once (monodentate chloro and cyano, bidentate oxalato and ethylenediamine, hexadentate EDTA), an ambidentate ligand such as nitrito or thiocyanato can bind through either of two atoms, its charge is neutral (ammine, aqua, carbonyl) or anionic (chloro, sulphato, oxalato), and its position in the spectrochemical series says how strongly it splits the metal's d orbitals.

Why this matters

33 PYQs, 2 HARD. Seventeen are denticity and donor-atom counts — oxalate and en bidentate, EDTA hexadentate, cyanide monodentate, the total donor atoms in tetracyanonickelate (4), trioxalatocobaltate (6) or pentaammineaquacobalt (6), and the two HARD counts on ambidentate SCN⁻ and free NO₂; ten are charge — the neutral ligand from a list (ammine, aqua, carbonyl, asked five times) and which complex has only anionic, only neutral or both kinds of ligand; six are the spectrochemical series — the strongest or weakest field ligand from a list, and one increasing order. Three cards.

Concept 1 of 3

Denticity and Counting Donor Atoms

Intuition

Denticity is the number of donor atoms a ligand uses on the SAME metal at the same time. Cl⁻, CN⁻, OH⁻, NH₃, H₂O, CO each use one atom: monodentate. Oxalate uses two oxygens, ethylenediamine two nitrogens: bidentate. EDTA uses two nitrogens and four carboxylate oxygens: hexadentate. An ambidentate ligand has two possible donor atoms but uses only one at a time — nitrite through N (nitro) or O (nitrito), thiocyanate through S (thiocyanato) or N (isothiocyanato) — so it is monodentate in any one complex. Donor atoms in a complex = sum over ligands of (number of ligands × denticity).

Definition

  • Monodentate: Cl⁻, Br⁻, I⁻, F⁻, CN⁻, OH⁻, NH₃, H₂O, CO, NO₂⁻, SCN⁻ (one donor atom each). Bidentate: oxalato C2O42−\text{C}_2\text{O}_4^{2-} (2 O), ethylenediamine en (2 N). Hexadentate: EDTA (2 N + 4 O = 6).
  • Ambidentate (two possible donor atoms, one used): NO₂⁻ (nitro, N / nitrito, O), SCN⁻ (thiocyanato, S / isothiocyanato, N), CN⁻ (cyano / isocyano). The paper's count for an ambidentate ion counts BOTH atoms: 2n mol SCN⁻ → 4n mol donor atoms.
  • Donor atoms in a complex: [Ni(CN)4]2−[\text{Ni(CN)}_4]^{2-} → 4 (one C each); [Co(C2O4)3]3−[\text{Co(C}_2\text{O}_4)_3]^{3-} → 3 × 2 = 6; [Co(H2O)(NH3)5]I3[\text{Co(H}_2\text{O)(NH}_3)_5]\text{I}_3 → 1 + 5 = 6 (counter ions do not count); one mole oxalate → 2 moles donor atoms.
  • Free NO2\text{NO}_2 (the neutral molecule, not the nitrite ion) is keyed 0 donor atoms — it is not a ligand.
  • Complexes with bidentate ligands in a list: those with oxalato or en (trioxalatocobaltate, bis(ethylenediamine)…platinum); cyano and fluoro complexes have none.

Donor-atom count

donor atoms=∑(number of ligands×denticity);EDTA=6, ox=en=2\text{donor atoms} = \sum (\text{number of ligands} \times \text{denticity});\quad \text{EDTA} = 6,\ \text{ox} = \text{en} = 2

Worked example

Count the donor atoms in [Cr(en)₂(ox)]⁺ and give the coordination number of Cr.
Practice this conceptself-check · 4 quick reps

From the bank · past-year question

Example 1Coordination CompoundsHARD
Identify number of moles of donor atoms in 2n2n mole of SCN−SCN^-?

[Q82 · 9th May Shift 1 · 2024]

Counting all four oxygens of oxalate

Oxalate has four O atoms but coordinates through two — it is bidentate, and one mole gives 2 moles of donor atoms. Cyanide has C and N but donates through carbon only: [Ni(CN)₄]²⁻ has 4 donor atoms, not 8.

Concept 2 of 3

Neutral and Anionic Ligands by Name

Intuition

The name tells the charge. Neutral molecules keep a molecule-like name: ammine (NH₃), aqua (H₂O), carbonyl (CO), nitrosyl (NO), ethylenediamine (en). Anions end in -o: chloro, bromo, iodo, fluoro, cyano, hydroxo, nitro/nitrito, thiocyanato/isothiocyanato, sulphato, carbonato, nitrato, oxalato. So a complex named with only -o ligands (potassium trioxalatoaluminate(III)) has only anionic ligands; one named with ammine and aqua only (pentaammineaquacobalt(III) chloride) has only neutral ligands; pentaamminecarbonatocobalt(III) chloride has both.

Definition

  • Neutral: ammine NH₃, aqua H₂O, carbonyl CO, nitrosyl NO, en, pyridine. Ammine (NH₃) is not amido (NH₂⁻).
  • Anionic (-o): chloro, bromo, iodo, fluoro, cyano, hydroxo, nitro/nitrito, thiocyanato/isothiocyanato, sulphato, carbonato, nitrato, oxalato.
  • Only anionic ligands: K3[Al(C2O4)3]\text{K}_3[\text{Al(C}_2\text{O}_4)_3], [Ni(CN)4]2−[\text{Ni(CN)}_4]^{2-}, Na3[Co(NO2)6]\text{Na}_3[\text{Co(NO}_2)_6]. Only neutral: [Co(NH3)5H2O]Cl3[\text{Co(NH}_3)_5\text{H}_2\text{O}]\text{Cl}_3, Fe(CO)5\text{Fe(CO)}_5, [Cu(NH3)4]2+[\text{Cu(NH}_3)_4]^{2+}. Both: [Co(NH3)5CO3]Cl[\text{Co(NH}_3)_5\text{CO}_3]\text{Cl}, [Fe(H2O)5NCS]2+[\text{Fe(H}_2\text{O)}_5\text{NCS}]^{2+}, [Pt(en)2(SCN)2]2+[\text{Pt(en)}_2(\text{SCN})_2]^{2+}.
  • Cisplatin [Pt(NH3)2Cl2][\text{Pt(NH}_3)_2\text{Cl}_2]: ligands NH₃ and Cl⁻.
LigandFormulaChargeDenticity
AmmineNH₃01
Ammine (NH₃) is neutral; amido (NH₂⁻) is anionic.
AquaH₂O01
CarbonylCO01
Ethylenediamine (en)H₂NCH₂CH₂NH₂02
Chloro / bromo / iodo / fluoroX⁻−11
CyanoCN⁻−11 (through C)
Nitro / nitritoNO₂⁻ / ONO⁻−11, ambidentate
Thiocyanato / isothiocyanatoSCN⁻ / NCS⁻−11, ambidentate
OxalatoC₂O₄²⁻−22
Sulphato / carbonatoSO₄²⁻ / CO₃²⁻−21 (usually)
EDTA(edta)⁴⁻−46
Molecule-like names are neutral; names ending in -o are anions.
Practice this conceptself-check · 4 quick reps

From the bank · past-year question

Example 2Coordination CompoundsMODERATE
Which from following complexes contains only anionic ligands?

[Q94 · 12th May Shift 1 · 2024]

Reading carbonyl or carbonato by the 'carbon'

Carbonyl is CO, neutral; carbonato is CO₃²⁻, anionic. Likewise nitrosyl (NO, neutral) against nitro/nitrato (anions).

Concept 3 of 3

Field Strength: the Spectrochemical Series

Intuition

Ligands are ranked by how far they split the metal's d orbitals. Halides and sulphide split least (weak field, high-spin complexes); CO and CN⁻ split most (strong field, low-spin). The order to carry: I⁻ < Br⁻ < S²⁻ < SCN⁻ < Cl⁻ < NO₃⁻ < F⁻ < OH⁻ < C₂O₄²⁻ < H₂O < NCS⁻ < EDTA⁴⁻ < NH₃ < en < NO₂⁻ < CN⁻ < CO. Any question that lists CO or CN⁻ wants it as strongest; any that lists a halide wants it as weakest.

Definition

  • Weak field (small Δ, high spin): I⁻ < Br⁻ < S²⁻ < SCN⁻ < Cl⁻ < NO₃⁻ < F⁻ < OH⁻ < C₂O₄²⁻ < H₂O.
  • Strong field (large Δ, low spin): NCS⁻ < EDTA⁴⁻ < NH₃ < en < NO₂⁻ < CN⁻ < CO (strongest).
  • Keyed answers: strongest of {H₂O, OH⁻, ox, CO} → CO; strong among {CN⁻, SCN⁻, I⁻, ox} → CN⁻; weak among {EDTA, CO, F⁻, NH₃} → F⁻; weak among {NH₃, NC⁻, Br⁻, CO} → Br⁻; increasing among I⁻, Cl⁻, S²⁻, OH⁻ keyed I⁻ < Cl⁻ < S²⁻ < OH⁻.
  • One paper keyed EDTA above en as the strongest of {S²⁻, OH⁻, EDTA, en}; the textbook series puts en above EDTA. Either way both sit far above OH⁻ and S²⁻.

Spectrochemical series

I−<Br−<S2−<SCN−<Cl−<F−<OH−<C2O42−<H2O<NH3<en<CN−<CO\text{I}^- < \text{Br}^- < \text{S}^{2-} < \text{SCN}^- < \text{Cl}^- < \text{F}^- < \text{OH}^- < \text{C}_2\text{O}_4^{2-} < \text{H}_2\text{O} < \text{NH}_3 < \text{en} < \text{CN}^- < \text{CO}

Worked example

Arrange NH₃, Cl⁻, CN⁻ and H₂O in increasing field strength, and say which would give a low-spin d⁶ complex.
Practice this conceptself-check · 4 quick reps

From the bank · past-year question

Example 3Coordination CompoundsMODERATE
Identify the correct increasing order of field strength of ligands from following.

[Q89 · 25 April Shift II · 2025]

Ranking by charge

A −2 oxalate is a WEAKER field ligand than neutral NH₃ or CO. Field strength follows the donor atom and π-bonding, not the charge: C-donors (CO, CN⁻) top the series, halides sit at the bottom.

Summary — formulas & gotchas at a glance

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Formulas (2)

  • Denticity and Counting Donor Atoms

    Donor-atom count

    donor atoms=∑(number of ligands×denticity);EDTA=6, ox=en=2\text{donor atoms} = \sum (\text{number of ligands} \times \text{denticity});\quad \text{EDTA} = 6,\ \text{ox} = \text{en} = 2
  • Field Strength: the Spectrochemical Series

    Spectrochemical series

    I−<Br−<S2−<SCN−<Cl−<F−<OH−<C2O42−<H2O<NH3<en<CN−<CO\text{I}^- < \text{Br}^- < \text{S}^{2-} < \text{SCN}^- < \text{Cl}^- < \text{F}^- < \text{OH}^- < \text{C}_2\text{O}_4^{2-} < \text{H}_2\text{O} < \text{NH}_3 < \text{en} < \text{CN}^- < \text{CO}

Reference tables (1)

Neutral and Anionic Ligands by Name11 rows
LigandFormulaChargeDenticity
AmmineNH₃01
Ammine (NH₃) is neutral; amido (NH₂⁻) is anionic.
AquaH₂O01
CarbonylCO01
Ethylenediamine (en)H₂NCH₂CH₂NH₂02
Chloro / bromo / iodo / fluoroX⁻−11
CyanoCN⁻−11 (through C)
Nitro / nitritoNO₂⁻ / ONO⁻−11, ambidentate
Thiocyanato / isothiocyanatoSCN⁻ / NCS⁻−11, ambidentate
OxalatoC₂O₄²⁻−22
Sulphato / carbonatoSO₄²⁻ / CO₃²⁻−21 (usually)
EDTA(edta)⁴⁻−46
Molecule-like names are neutral; names ending in -o are anions.

Watch out for (3)

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