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Ligand Substitution and Electron Transfer in Coordination Complexes

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Ligand Substitution Reactions in Coordination Complexes

Introduction to Ligand Substitution

Ligand substitution reactions are fundamental processes in inorganic and general chemistry, involving the exchange of ligands in metal complexes. These reactions are governed by both thermodynamic and kinetic factors, and are crucial for understanding the reactivity and stability of coordination compounds.

  • Ligand Substitution: A reaction where one Lewis base (ligand) replaces another in a metal complex (Lewis acid).

  • Leaving group (X): The ligand that departs from the complex.

  • Entering group (Y): The ligand that joins the complex.

  • The rate of conversion depends on the activation energy barrier between complexes.

Gibbs free energy diagram showing activation barrier

Thermodynamic vs. Kinetic Stability

The terms inert and labile describe the kinetic behavior of complexes, while stable and unstable refer to thermodynamic properties.

  • Inert: Thermodynamically unstable but slow to react (survive for long periods).

  • Labile: Rapidly undergoes ligand exchange.

  • There is no direct correlation between thermodynamic stability and kinetic lability.

Table comparing inert, moderate, and labile complexes

Factors Affecting Rates of Ligand Substitution

  • Complexes of s-block ions (except Be(II), Mg(II)) are very labile.

  • f-block M(III) ions are labile.

  • d10 ions (Zn(II), Cd(II), Hg(II)) are labile.

  • 3d-block M(II) ions are moderately labile; M(III) ions are less labile.

  • d3 and low-spin d6 (e.g., Cr(III), Fe(II), Co(III)) are non-labile due to large ligand field stabilization energies (LFSE).

  • Chelate complexes (e.g., [Fe(phen)3]2+) are particularly inert.

  • Non-lability is common in 4d and 5d series due to strong metal-ligand bonding.

Representative timescales of ligand exchange and related processes

Classification of Substitution Mechanisms

Dissociative (D) Mechanism

A dissociative mechanism involves the loss of a ligand before the new ligand attaches, forming an intermediate with a lower coordination number.

  • Two-step pathway: dissociation followed by association.

  • Intermediate: coordination number decreases.

  • Analogous to SN1 mechanism in organic chemistry.

  • Rate law:

  • Independent of [Y] (entering group).

Potential energy diagram for dissociative mechanismStepwise dissociative mechanism equations

Associative (A) Mechanism

An associative mechanism involves the entering ligand attaching before the leaving ligand departs, forming an intermediate with a higher coordination number.

  • Two-step pathway: association followed by dissociation.

  • Intermediate: coordination number increases.

  • Analogous to SN2 mechanism in organic chemistry.

  • Rate law:

  • Dependent on both [ML5X] and [Y].

Potential energy diagram for associative mechanismKinetic equations for associative mechanism

Interchange (I) Mechanism

The interchange mechanism involves simultaneous bond formation and bond cleavage, with no detectable intermediate.

  • Bond formation and cleavage occur concurrently.

  • No intermediate species.

  • Can be associative (Ia) or dissociative (Id) depending on which step is rate-determining.

Potential energy diagram for interchange mechanism

Ligand Substitution in Square-Planar Complexes

Mechanism and Stereochemistry

Square-planar complexes (e.g., Pt(II), Pd(II), Ni(II)) often undergo associative substitution, with both bond-breaking and bond-making being important.

  • Attack by entering group occurs from above or below the plane.

  • Intermediate: trigonal bipyramidal geometry.

  • Retention of stereochemistry (stereospecific).

Mechanism for square planar ligand substitutionInitial attack in square planar substitution

Factors Affecting Rate of Substitution

  • Role of Entering Group: Rate increases with nucleophilicity; Pt(II) prefers soft nucleophiles.

  • Role of Leaving Group: Sequence of lability varies; H2O > Cl- > Br- > I- > N3- > SCN- > NO2- > CN-.

  • Nature of Other Ligands: The trans effect influences which ligand is replaced.

  • Effect of Metal Center: Electronic configuration and ligand field stabilization energy affect lability.

Factors affecting square planar substitutionNucleophilicity and rate constantsTable of nucleophile donor atoms and n_n valuesSequence of leaving group lability

The Trans Effect

The trans effect describes how a ligand in a square planar complex influences the rate of substitution of the ligand opposite to it.

  • Ligands with strong trans effect direct substitution to the ligand trans to them.

  • Used in synthesis of geometric isomers (cis/trans).

Trans effect in practiceTrans effect directing abilityTrans effect comparisonPreparation of cis and trans PtCl2I(py)

Ligand Substitution in Octahedral Complexes

Mechanisms and Activation Parameters

Octahedral complexes typically react via interchange mechanisms, with the rate law distinguishing between associative and dissociative pathways.

  • Leaving group effects are pronounced in Id reactions.

  • Order of reactivity depends on metal's Lewis acid character.

  • Stronger σ-donor ligands increase reaction rate by stabilizing transition state.

  • Steric crowding favors dissociative activation.

Activation energy diagram for octahedral complexesSteric effect in octahedral complexesSteric crowding and reactivitySteric effect and transition stateSteric repulsion in bulky ligandsSteric effect favoring dissociative activation

Ligand Field Activation Energy (LFAE)

The difference in ligand field stabilization energy (LFSE) between the starting complex and the transition state is called ligand field activation energy (LFAE).

  • Large loss of LFSE leads to inert complexes.

Crystal field stabilization energy changes

Activation Parameters: Gibbs Energy, Enthalpy, Entropy

  • Relationship between rate constant and activation parameters:

Eyring equation for rate constantEyring plot for activation parametersSlope and intercept of Eyring plot

Volume of Activation (ΔV‡)

  • Associative mechanism: transition state has smaller volume (ΔV‡ negative).

  • Dissociative mechanism: transition state has larger volume (ΔV‡ positive).

  • ΔV‡ can be used to distinguish between mechanisms.

Table of activation parameters including ΔV‡

Electron Transfer (Redox) Reactions in Complexes

Outer Sphere Mechanism

  • Electron transfer occurs without major disturbance of coordination spheres.

  • Very fast reactions; rate depends on electronic and geometric structure.

  • Rate law:

Outer sphere and inner sphere electron transfer mechanisms

Inner Sphere Mechanism

  • Electron transfer occurs via a bridging ligand.

  • Often involves ligand exchange.

  • Reactions are faster than outer sphere electron transfer.

  • Rate law:

Summary Table: Timescales of Ligand Exchange and Related Processes

Timescale*

Process

Example

105 s

Ligand exchange (inert complex)

[Co(NH3)6]3+ + H2O (6 days)

60 s

Ligand exchange (nonlabile complex)

[Pt(NH3)4]2+ + H2O (1 min)

1 s

Ligand exchange (labile complex)

[Ni(H2O)6]2+ + H2O (1 s)

1 ps

Intervalence charge transfer

[Ru(NH3)5]2+ + [Ru(NH3)5]3+ (0.5 μs)

1 ms

Ligand exchange (labile complex)

[Ni(H2O)6]2+ + H2O (1 ms)

10 ps

Ligand association

CH2Cl2 + THF (10 ps)

1 ps

Rotation time in liquid

CH4 (1 ps)

1 fs

Molecular vibration

Sn–Cl stretch (300 fs)

*Approximate times at room temperature

Summary Table: Nucleophilicity Values for Ligands

Nucleophile

Donor atom

nn

CH3OH

O

0

Cl-

Cl

3.04

Br-

Br

4.18

I-

I

5.42

CN-

C

7.14

SCN-

S

5.75

N2

N

3.58

CH3SH

S

4.15

NH3

N

3.07

(CH3)3P

P

8.93

Summary Table: Tolman Cone Angles for Ligands

Ligand

θ/°

Ligand

θ/°

CH3

90

P(C6H5)3

145

CO

95

PBu3

130

Cl, Et

102

PEt3

132

PF3

104

η1C5H5(Cp)

136

Bz, Ph

105

η1C5Me5(Cp*)

165

I, P(OCH3)3

107

2,4-Me2C6H3

185

PMe3

118

P(t-Bu)3

182

t-Butyl

126

Summary Table: Changes in Crystal Field Stabilization Energies

dn

CFSE (oct)

CFSE (sq pyr)

ΔCFSE

d3

1.20

0.91

-0.29

d4 (low-spin)

1.80

1.28

-0.52

d6 (low-spin)

2.40

1.82

-0.58

d8 (high-spin)

0.00

0.00

0.00

Summary Table: Activation Parameters for H2O Exchange Reactions

Ion

ΔH‡ (kJ mol-1)

LFSE/Δo

LFSE‡/Δo

LFAE/Δo

ΔV‡ (cm3 mol-1)

Ti3+ (d1)

68.6

1.20

0.91

-0.29

-4.1

V2+ (d3)

31.2

1.20

0.91

-0.29

-5.4

Cr2+ (d4, hs)

31.6

0.00

0.00

0.00

+6.1

Fe2+ (d6, hs)

41.5

0.00

0.00

0.00

+8.1

Ni2+ (d8, hs)

58.1

0.00

0.00

0.00

+7.2

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