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Inorganic — thermodynamic/kinetic effect

The chelate effect in ligand binding

How the The chelate effect in ligand binding works, in 3 steps. Each step shows the structures and the curved arrows that move the electrons.

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In short. A 3-step mechanism. Typical reagents: [Ni(H₂O)₆]²⁺, ethylenediamine (en) vs 2 NH₃. Conditions: Water, 25 °C. Bonds formed: two Ni–N bonds (5-membered chelate ring); bonds broken: Ni–OH₂ (two). Stereochemistry: Ring closure gives a puckered five-membered ring. Rate and selectivity: log K₁(en) ≈ 7.5 vs log β₂(NH₃) ≈ 5.0 for Ni²⁺: entropy-driven.

At a glance

Reagents[Ni(H₂O)₆]²⁺, ethylenediamine (en) vs 2 NH₃
Solvent / conditionsWater, 25 °C
Bonds formedtwo Ni–N bonds (5-membered chelate ring)
Bonds brokenNi–OH₂ (two)
StereochemistryRing closure gives a puckered five-membered ring
Rate / selectivitylog K₁(en) ≈ 7.5 vs log β₂(NH₃) ≈ 5.0 for Ni²⁺: entropy-driven

Step 1: First N binds (ordinary substitution)

+−H₂ONiOH₂OH₂OH₂OH₂OH₂OH₂2NH₂NH₂NiOH₂OH₂OH₂NH₂NH₂OH₂OH₂21 · FIRST N BINDS (ORDINARY SUBSTITUTION)[Ni(H₂O)₆]²⁺SUBSTRATEethylenediamine (en)LIGANDmonodentate en complexINTERMEDIATEThe first Ni–N bond costs about the same as binding NH₃.

A bidentate ligand's first donor atom coordinates to the metal exactly as any monodentate ligand would — no new bonding chemistry yet, just an ordinary associative substitution.

Step 2: Tethered second N closes the ring

ring closure,−H₂ONiOH₂OH₂OH₂NH₂NH₂OH₂OH₂2NiOH₂OH₂OH₂NH₂NH₂OH₂22 · TETHERED SECOND N CLOSES THE RINGmonodentate en complexINTERMEDIATE[Ni(H₂O)₄(en)]²⁺PRODUCTIntramolecular: the free N is held next to Ni (high effective molarity).

Because the second donor atom is already tethered nearby, its subsequent coordination is far more favorable entropically than a separate free ligand finding the metal from bulk solution — this intramolecular step barely costs any translational entropy.

Step 3: Why the ring wins: entropy

log β₂ ≈ 5.03 particles → 3log K₁ ≈ 7.52 particles → 3NiOH₂OH₂OH₂OH₂OH₂OH₂2NiNH₃OH₂OH₂NH₃OH₂OH₂2NiOH₂OH₂OH₂OH₂OH₂OH₂2NiOH₂OH₂OH₂NH₂NH₂OH₂23 · WHY THE RING WINS: ENTROPY[Ni(H₂O)₆]²⁺ + 2 NH₃SUBSTRATE[Ni(NH₃)₂(H₂O)₄]²⁺ + 2 H₂OPRODUCT[Ni(H₂O)₆]²⁺ + enSUBSTRATE[Ni(en)(H₂O)₄]²⁺ + 2 H₂OPRODUCTOne chelate releases 2 H₂O per ligand, increasing the number of free particles (ΔS > 0).

The result is a much larger overall binding constant for the chelating ligand versus two separate monodentate ligands with identical donor atoms — the same mechanism (sequential ligand substitution) is at work, but favorable entropy alone drives dramatically enhanced stability.

Abbreviations and terms

H2
Hydrogen gas. Reductant for catalytic hydrogenation.

How it compares with related reactions

The chelate effect in ligand bindingThe trans effect in square-planar substitutionAssociative ligand substitution at a square-planar Pt(II) complex
Reagents[Ni(H₂O)₆]²⁺, ethylenediamine (en) vs 2 NH₃K₂[PtCl₄], NH₃ (cisplatin route); [Pt(NH₃)₄]²⁺, Cl⁻ (transplatin route)K₂[PtCl₄] + NH₃ (aq)
ConditionsWater, 25 °CWater, 25–50 °CH₂O, 25 °C
StereochemistryRing closure gives a puckered five-membered ringLigand order of addition controls cis vs transTrigonal-bipyramidal intermediate; retention of geometry
Rate / selectivitylog K₁(en) ≈ 7.5 vs log β₂(NH₃) ≈ 5.0 for Ni²⁺: entropy-drivenTrans-effect series: CN⁻, CO, C₂H₄ > PR₃ > H⁻ > CH₃⁻ > I⁻ > Cl⁻ > NH₃ > H₂ORate = k₁[Pt] + k₂[Pt][NH₃] (associative; entering-ligand dependent)

Test yourself

Try to answer each question before opening it.

Which reagents and conditions are typical for the The chelate effect in ligand binding?

[Ni(H₂O)₆]²⁺, ethylenediamine (en) vs 2 NH₃. Conditions: Water, 25 °C.

Which bonds are formed and which are broken?

Formed: two Ni–N bonds (5-membered chelate ring). Broken: Ni–OH₂ (two).

What is the stereochemical outcome?

Ring closure gives a puckered five-membered ring

What controls the rate or the selectivity?

log K₁(en) ≈ 7.5 vs log β₂(NH₃) ≈ 5.0 for Ni²⁺: entropy-driven

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