11 - reaction mechanisms

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    Reaction mechanisms of Coordination

    Compounds

    Advanced Inorganic Chemistry

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    The Kinetic Model - Transition State

    Theory Molecules obtain sufficient energy to

    reach a state intermediate between

    reactants and products This intermediate state is called the

    activated complex

    There is then a 50% probability of theactivated complexes decaying to productsor reactants

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    Principle of microscopic

    reversibility Molecules can proceed along the reaction

    coordinate in either direction

    It is required that at equilibriumbothforward and reverse reactions proceed at

    equal rates along the reaction coordinate

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    Consequences

    the route of entry for the new ligand must

    be just the reverse of that for the loss of the

    leaving ligand Insofar as the entering group Y resembles

    the leaving group X, the mechanism for

    replacement of X by X (exchange) mustresemble replacement of X by Y

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    Inert and labile

    Inertness is a kinetic stability

    As we discussed earlier, it reflect the rate at which

    the ligands of the complex exchange places withthose molecules in the outer sphere

    Thermodynamic stability is described by n

    A complex can be thermodynamically stable

    (large n), but kinetically unstable (labile)

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    Langford and Gray Classification

    Class I; (diffusion controlled) k 108s-1

    alkali metals, alkaline earths (except Be2+

    and Mg2+), Cd2+, Hg2+, Cr2+, Cu2+, sometrivalent lanthanides

    Class II; 104< k < 108s-1

    divalent first transition series elements(except V2+, Cr2+, Cu2+), Ti3+, Mg2+, othertrivalent lanthanides

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    Langford and Gray

    Class III; 1 < k < 104s-1

    Be2+, V2+, Al3+, Ga3+, several trivalent

    lanthanides

    Class IV; 10-6< k < 10-2s-1.

    Cr3+, Co3+, Rh3+, Ir3+, Ru2+, Pt2+,

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    Lability and electron

    configuration Inert configurations

    d3, low spin d4, d5, d6

    d8is borderline (really only weak field Ni2+

    complexes)

    Strong field d8complexes are square planar

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    Mechanisms for ligand

    substitution reacts, Oh systems X- leaving group; Y - entering group

    Leaving group usually listed last

    e.g.

    L5MX + Y L5MY + X

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    Two issues

    intimate mechanism - whether the main

    factor controlling the activation energy is

    the breaking of the M-X bond (dissociative,d) or making of the M-Y bond (associative,

    a)

    stoichiometric mechanism - what is thesequence of elementary steps leading from

    reactants to products

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    Dissociative (D) mechanism

    Bond-breaking most important. Complex is

    surrounded by solvent molecules, Y and other

    molecules that may be present L5M intermediate must be observed to verify D

    L5MX

    k1

    k-1

    L5M + X

    L5M + Yk2

    L5MY + X

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    Id- Interchange dissociative

    primary contribution to activation energy is bond-

    breaking, but L5M is not detectable

    M-X is breaking, but M-Y is starting to form

    L5MX + YK

    (L5MX,Y)

    (L5

    MX,Y)k

    (L5MY,X)

    (L5MY,X)fast

    L5MY + X

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    Experimental parameters

    Can control [Y]o, [L5MX]o

    rate = kobs[L5MX]

    Note [L5MX]o= [L5MX] + K[L5MX][Y]

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    Associative (A) mechanism

    No firmly established A mechanisms for

    octahedral complexes since seven

    coordinate intermediate has never beenobserved conclusively

    rate = kobs[L5MX][Y]

    D, Id, and Iaall lead to the same rate law, soadditional tests of mechanism are needed

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    Experimental tests of mechanism

    No mechanism is actually proven

    Easiest thing to distinguish is the intimate

    mechanism

    Most data is know for inert complexes

    (CoIII, CrIII, RhIII, IrIII, PtII, NiII)

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    Reactions studied - ligand

    exchange Aquation (often termed acid hydrolysis)

    L5MXn++ H2O L5M(OH2)

    (n+1)++ X-

    AnationL5M(OH2)

    (n+1)++ X-L5MXn++ H2O

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    Sensitivity to the Nature of the

    Entering or Leaving Group Consider Table 11.3 - rates of aquation of

    [Co(NH3)5X]n+

    Rates depend heavily on nature of X (sixorders of magnitude)

    Relatively little sensitivity to Y

    Therefore, breaking M-X bond is more

    important

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    Sensitivity to the Nature of the

    Entering or Leaving Group One problem is that in water, no direct

    replacement of X-occurs, rather aquation

    followed by anation Conversely, [Ti(OH2)6]

    3+shows a rate

    variation with entering groups ~ 104(Table

    11.5)

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    Electronic effects of inert ligands

    for cis-[Co(en)2LX]n+(Table 11.6)

    When X leaves, the orbital of the d2sp3hybrid isempty

    If the cis L is a good -donor, it can supplyelectrons to the electron deficient CoIII.

    This stabilizes the transition state and lowers the

    activation energy Therefore, cis complexes with good -donors,

    react more rapidly than cis complexes with -acceptor ligands (CN-) or -only donors (NH3)

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    Electronic effects of inert ligands

    with L trans to X, no stabilization can takeplace unless the complex rearranges to

    trigonal bipyramidal. this rearrangement raises Eaand lowers the

    rate relative to the corresponding ciscomplex

    These observations would be hard toreconcile with an a intimate mechanism

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    Comparison of rates for Anation

    and Water Exchange Since water (or any solvent) concentration cannot

    be varied, so its presence in the transition state

    cannot be discerned kinetically Can use 18OH2as X

    L5M(18OH2) + H2O L5M(OH2) +

    18OH2

    Mechanism is Id, since K[H2O]>>1, so kobsis

    identified with the rate for dissociative interchangeof H2O between the inner and outer sphere

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    Comparison of rates for Anation

    and Water Exchange Similar limiting rate laws can be observed if [Y] is

    high enough

    Reaction is then 1st order in L5MX and k

    obsis in

    units in s-1

    at low [Y], 2nd order kinetics are observed

    at high [Y], 1st order (saturation) kinetics are

    observed plots of kobsvs [Y] will help. Limiting first order

    behavior may not be observed if k2or K is toosmall

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    Effect of charge on reaction rate

    Increased positive charge should make

    bond-breaking more difficult

    rate would decrease with increasingpositive charge for d intimate mechanism

    true for main group elements

    for TMI, CFSE overlay the charge effects

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    Activation parameters

    G= H- TS

    H- energy requirements for reaching the

    transition state

    S- change in ordering on reaching the

    transition state

    Activation parameters can often revealdifferences masked by similar values of kobs

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    Activation parameters

    also have V- volumes of activation

    kobsexp(-PV/RT)

    a plot of ln kobsvs P gives a straight line of

    slope -V/RT

    Data more complex than expected

    V= Vinstrinsic+ Vsolvent(latter term

    more important for charged ligands

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    V> 0 when anionic ligands leaveanionic complexes

    See Table 11.12 for summary