section 4 · 2014. 3. 10. · 3 lewis acids and bases the definition proposed by lewis is the most...

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1 Section 4 (Chapter 6, M,F&T) Acid-Base and Donor-Acceptor Chemistry Acids and Bases There are a variety of definitions for acids and bases. Some definitions are quite specific (and limited) A few of the more popular acid-base definitions are: Arrhenius Brønsted-Lowry Solvent system Lewis Arrhenius Acids and Bases Arrhenius acids are defined as substances which increase the concentration of H 3 O + ions when added to water (e.g. H 2 SO 4 ) H 2 SO 4 + H 2 O HSO 4 - + H 3 O + Arrhenius bases are substances that increase the concentration of OH - ions when added to water (e.g. NH 3 ) NH 3 + H 2 O D NH 4 + + OH - It is a definition that is limited to aqueous solutions Brønsted Acids and Bases A more general definition of acids and bases that is defined as follows: Brønsted acids are proton (H + ) donors Brønsted bases are proton acceptors The definition applies to all Arrhenius cases, and even in non-aqueous solutions HCl + H 2 O H 3 O + + Cl - NH 3 + H 2 O D NH 4 + + OH - NH 3 + HCl NH 4 + + Cl - Structure and Brønsted Acidity The ability of a Brønsted acid to donate a proton will depend on the polarity of the H-X bond (in most Brønsted acids, X = N, O, or a halogen) Electron-withdrawing groups attached to X will increase the quantity of partial positive charge on the H-atom, making it more susceptible to nucleophilic attack by a solvent (inductive effect) C H 3 O O H F 3 C O O H acetic acid trifluoroacetic acid O-H bond which is broken to yield H + ion Acids and Bases There are a variety of definitions for acids and bases. Some definitions are quite specific (and limited) A few of the more popular acid-base definitions are: Arrhenius Brønsted-Lowry Solvent system Lewis

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  • 1

    Section 4 (Chapter 6, M,F&T)

    Acid-Base and Donor-Acceptor

    Chemistry

    Acids and Bases

    There are a variety of definitions for acids and bases. Some definitions are quite specific (and limited)

    A few of the more popular acid-base definitions are:

    Arrhenius

    Brønsted-Lowry

    Solvent system

    Lewis

    Arrhenius Acids and Bases

    Arrhenius acids are defined as substances which

    increase the concentration of H3O+ ions when

    added to water (e.g. H2SO4)

    H2SO4 + H2O HSO4- + H3O

    +

    Arrhenius bases are substances that increase the

    concentration of OH- ions when added to water

    (e.g. NH3)

    NH3 + H2O D NH4+ + OH-

    It is a definition that is limited to aqueous solutions

    Brønsted Acids and Bases

    A more general definition of acids and bases that is defined as follows:

    Brønsted acids are proton (H+) donors

    Brønsted bases are proton acceptors

    The definition applies to all Arrhenius cases, and even in non-aqueous solutions

    HCl + H2O H3O+ + Cl-

    NH3 + H2O D NH4+ + OH-

    NH3 + HCl NH4+ + Cl-

    Structure and Brønsted Acidity

    The ability of a Brønsted acid to donate a proton

    will depend on the polarity of the H-X bond (in

    most Brønsted acids, X = N, O, or a halogen)

    Electron-withdrawing groups attached to X will

    increase the quantity of partial positive charge on

    the H-atom, making it more susceptible to

    nucleophilic attack by a solvent (inductive effect)

    CH3

    O

    O

    HF

    3C O

    O

    H

    acetic acid trifluoroacetic acidO-H bond which is broken to yield H+ ion

    Acids and Bases

    There are a variety of definitions for acids and bases. Some definitions are quite specific (and limited)

    A few of the more popular acid-base definitions are:

    Arrhenius

    Brønsted-Lowry

    Solvent system

    Lewis

  • 2

    Cl

    O

    O

    O

    O H

    Cl

    O

    OO H

    Cl

    O

    O

    O

    O

    Cl

    O

    OO

    H+

    H+

    Cl OO H Cl OO

    H+

    Cl O H Cl O

    H+

    -

    -

    +

    +

    -+

    -+

    Ka = big

    Ka = big

    Ka = 1.1 x 10-2

    Ka = 3.0 x 10-8

    Structure and Brønsted Acidity For oxyacids, acid strength increases with the

    number of oxygen atoms:

    more O-atoms, greater inductive effect

    the stability of the conjugate base may also be the

    driving force behind dissociation (resonance structures)

    Pauling’s Rules for Oxyacids

    To predict the pKa of an oxyacid whose

    formula can be written OpE(OH)q pKa = 8 – 5p

    Where p is the number of hydrogen-free

    oxygen atoms.

    For polyprotic acids (for which q > 1), there

    will be an increase in pKa of 5 units for

    successive proton transfers

    Sulfuric acid (O2S(OH)2, p = 2 and q = 2.

    pKa1 ~ -2; pKa2 ~ +3

    OS

    O

    O

    O

    H

    H

    hydrogen-free

    oxygens

    Solvent System Definition

    The solvent system definition of acids and bases is

    one that evolves from the autodissociation

    reaction:

    2 H2O D H3O+ + OH-

    By this definition, an acid is anything added to the

    solvent that increases the concentration of the

    cation of the autodissociation reaction (e.g. H3O+).

    For example:

    H2SO4 + H2O H3O+ + HSO4

    -

    Solvent System Definition

    The solvent definition is also fairly general,

    since many solvents are capable of

    autodissociation:

    2 NH3 D NH4+ + NH2

    -

    2 H2SO4 D H3SO4+ + HSO4

    -

    2 OPCl3 D OPCl2+ + OPCl4

    -

    2 BrF3 D BrF2+ + BrF4

    -

    The last two equations don’t involve H+ ions

    Solvent System Definition

    When SbF5 is added to a BrF3 solvent, the following reaction occurs:

    SbF5 + BrF3 D SbF6- + BrF2

    +

    Thus SbF5 is an acid (in BrF3) by the solvent system definition

    When KF is added to BrF3, the following reaction takes place:

    KF + BrF3 D K+ + BrF4

    -

    Thus KF is a base by the solvent system definition

    An acid is a substance that increases the concentration

    of the cation of the autodissociation reaction

    A base is a substance that increases the concentration

    of the anion of the autodissociation reaction

    Solvent System Definition

    Even for protic solvents, this definition is more

    useful than the Brønsted definition, since it treats

    acidity not as an absolute property of the solute,

    but must be specified in relation to the solvent

    used.

    Example, for acetic acid (CH3COOH) in water:

    CH3COOH + H2O D CH3COO- + H3O

    +

    For acetic acid in H2SO4:

    CH3COOH + H2SO4 D CH3COOH2+ + HSO4

    -

    Thus acetic acid is an acid in water, but a base in

    H2SO4

    solute

    solute

  • 3

    Lewis Acids and Bases

    The definition proposed by Lewis is the

    most general, and can be summarized by:

    Lewis acids are electron-pair acceptors

    Lewis bases are electron-pair donors

    The following are examples:

    H3O+ + OH- 2H2O

    BF3 + Et2O BF3OEt2

    4NH3 + Cu2+ [Cu(NH3)4]

    2+

    Lewis Acids and Bases

    The Lewis acid-base reaction is driven by

    the base’s ability to donate electrons to the

    acid

    Recognizing Lewis acids vs. Lewis bases is

    not always easy, but

    bases typically have lone pairs or negative

    charges, while

    acids are often cations or may have empty

    (acceptor) orbitals

    Lewis Bases

    Molecules possessing nitrogen atoms (amines,

    imines, etc.) (e.g. ammonia, pyridine)

    Molecules having oxygen atoms (e.g. water)

    Anions (F-, C6H5COO-)

    NHH

    H

    O

    O

    F

    HO

    H

    N

    -

    -

    Lewis Acids Cations (e.g. carbocations; electrophiles are thus

    Lewis acids)

    Includes metal ions (e.g. Fe3+)

    Molecules with empty (acceptor) orbitals (e.g. BF3)

    and incomplete octets

    +

    F BF

    F

    Fe3+

    Lewis Acids

    Molecules (or ions) that have complete octets, but can rearrange to accept more electrons

    Molecules that can handle expanded octets (3rd period elements and heavier) and can accept additional e-’s

    Closed-shell systems that can accommodate more electrons through p* orbitals

    C

    O

    O

    O H OH

    O

    O

    +

    -

    -

    -

    -

    GeFF

    F

    FF Ge

    F

    F

    F

    F F

    F

    2+

    2-

    NC CN

    CNNC

    CN substituents (cyano) are electron-withdrawing,

    and lower the energy of the p* MO in this molecule

    Lewis Acid-Base Reaction Types

    1. Adduct formation (base

    donated e- pair to acid)

    2. Displacement reaction

    3. Double displacement

    B F

    F

    F

    N

    H

    HH B

    F

    F

    FN

    H

    H

    H+

    B

    F

    F

    FN

    H

    H

    H

    N

    B

    F

    F

    FN N

    H

    H

    H+

    SiCH

    3Br

    CH3

    CH3

    AgCl SiCH

    3Cl

    CH3

    CH3

    AgBr+ +

    adduct formed with neutral

    base indicated with arrow

    adduct formed with anionic

    Lewis base indicated with line

  • 4

    Lewis Acids and Bases

    The Lewis acid-base reaction is driven by

    the base’s ability to donate electrons to the

    acid

    Recognizing Lewis acids vs. Lewis bases is

    not always easy, but

    bases typically have lone pairs or negative

    charges, while

    acids are often cations or may have empty

    (acceptor) orbitals

    The Acid-Base Interaction

    Factors Influencing Acid-Base Reactions

    There are four basic things which must be

    considered in acid-base (donor-acceptor)

    reactions:

    1. The strength of the A-B bond (electronics)

    2. The energy change involved in structural

    rearrangements

    3. Steric contributions

    4. Solvent effects

    Hard Soft Acid-Base Concepts

    Electron donors and acceptors tend to react in ways that favor hard-hard and soft-soft interactions, proposed by Pearson

    Hard acids are small in size and/or highly charged (e.g. Li+, Ti3+, BF3) (or whose d-electrons are relatively unavailable for bonding) and bind preferentially to small/light basic species

    F- >> Cl- > Br- > I- R2O >> R2S R3N >> R3P

    Soft acid species are polarizable, and are large, have low charge if ionic (e.g. Ag+, BH3, Hg

    2+)

    F-

  • 5

    Hard Soft Acid-Base Concepts

    There is a greater separation

    between the frontier orbitals

    in a hard species than in a

    soft species. Hard-hard

    interactions have more ionic

    character, while soft-soft

    have more covalent

    character.

    Electronic Factors

    AI 2

    1

    Hard-Hard Soft-Soft

    Pearson’s Hardness Parameter

    HSAB Guidelines

    Hard-hard and soft-soft interactions tend to

    be favorable

    Hard-hard creates strong interaction

    because of ionic component

    Soft-soft interaction creates bonding MO

    that is significantly

    more stable (lower energy) than MO of

    base (HOMO) or acid (LUMO)

    Hard-hard and soft-soft

    interactions are favored

    over hard-soft

    AI 2

    1

    Hardness

    Hard-Soft Acid Base Model

    Pearson: favourable interactions:

    Hard acid and hard base: ionic interactions dominant

    Soft acid and soft base: covalent interactions dominant

    Drago:

    Quantitative treatment including parameters for electrostatic

    and covalent contributions

    A + B AB Hreaction (gas phase or in inert solvent)

    -H = EAEB + CACB

  • 6

    HSAB Concepts

    Using HSAB guidelines, reactions between

    acids and bases can be often be predicted

    successfully (though not always)

    Q: Is OH- or S2- more likely to form an insoluble

    salt with a +3 transition metal ion?

    A: The harder species will bind more strongly.

    Between OH- or S2-, OH- is the harder species.

    Electronic Factors

    HSAB Concepts

    Q: Why is AgI(s) very water-insoluble, but LiI very

    water-soluble?

    A: AgI is a soft acid-soft base combination, while LiI

    is hard-soft. The interaction between Li+ and I-

    ions is not strong.

    Electronic Factors

    AgI(s) + H2O(l) essentially no reaction

    LiI(s) + H2O(l) Li+(aq) + I-(aq)

    Qualitative Analysis

    In the separation of the group cations carried out

    this year, HSAB rules are used to separate classes

    of cations based on different hard and soft

    interactions

    Group II: Hg2+, Cd2+, Cu2+, Sn2+, Sb3+, Bi3+

    Group III: Mn2+, Fe2+, Co2+, Ni2+, Zn2+, Al3+, Cr2+

    Group IV: Ca2+, Mg2+, Ba2+, K+, NH4+

    soft and

    borderline acids

    borderline

    hard acids

    Separation of Cations The soft and borderline cations are separated through

    reaction with the soft base sulfide, S2-. Group II sulfides are less soluble than group III, so in order to selectively remove group II ions, a low pH is used:

    H2S(g) D 2H+

    (aq) + S2-

    (aq)

    Even at low S2- concentrations, the group II ions precipitate (stronger interactions with the soft base, S2-)

    Raising the pH increases the S2- concentration, which allows the precipitation of group III ions

    The group IV are then precipitated as hydroxides. These cations are harder and prefer the hard base OH-.

    GENERAL UNKNOWN

    Decanted Solution

    (Contains Group III & IV)

    Precipitate containing

    Group II Cations

    Decanted Solution

    Containing Group IV

    Cations

    Precipitate containing

    Group III Cations

    ACIDIC CONDITIONS

    BASIC CONDITIONS

    Ambidentate Bases

    SCN- (thiocyanate) can interact through either its

    S or N atom with Lewis acids. It can donate an

    electron pair through more than one atom.

    Interaction will be through the S-atom with a soft

    acid, or through the N-atom when interacting with

    hard acids.

    Cr(III) interacts as Cr-NCS, while Pt(II) does so

    as Pt-SCN

  • 7

    Inductive Effects

    Electron donating substituents

    enhance base strength and

    electron-withdrawing groups

    enhance electron acceptor (acid)

    strength

    Electronic Factors

    NMe3 > NHMe2 > NH2Me > NH3

    strongest base weakest base

    Me = methyl; alkyl, aryl groups are electron donating; F, CF3, CN, etc. are e- withdrawing

    PMeMe

    Me

    PHH

    H

    PMe3 stronger base than PH3

    This plays a role in bond lengths also

    gas-phase

    base strengths

    Factors Influencing Acid-Base Reactions

    There are four basic things which must be

    considered in acid-base (donor-acceptor)

    reactions:

    1. The strength of the A-B bond (electronics)

    2. The energy change involved in structural

    rearrangements

    3. Steric contributions

    4. Solvent effects

    Structural Rearrangement In some cases, a center must adjust its hybridization in

    order to accommodate the formation of a new bond

    Order of Lewis acid strength for BX3 (X = halides) is

    BF3 < BCl3 < BBr3

    This is due to better p-orbital overlap in BF3 than in BCl3, which is better than BBr3 (B-F bonds are shortest). Thus more energy is needed to change from the sp2-hybridized form of BF3.

    B F

    F

    F

    N

    H

    HH B

    F

    F

    FN

    H

    H

    H+

    Structural Factors

    sp2 sp3 opposite order to what is

    expected for inductive effect

    Factors Influencing Acid-Base Reactions

    There are four basic things which must be

    considered in acid-base (donor-acceptor)

    reactions:

    1. The strength of the A-B bond (electronics)

    2. The energy change involved in structural

    rearrangements

    3. Steric contributions

    4. Solvent effects

    Size/Bulk of Lewis Acid/Base

    Bulky and/or large groups may interfere with

    interaction between the donor and acceptor sites of

    the base and acid

    Steric Factors

    NCH3

    CH3

    NCH3

    N

    CH3

    CH3

    CH3 N

    NCH3

    CH3

    N NCH3

    N

    CH3

    CH3

    CH3

    > > >

    reactions with H+ ions (inductive effect of alkyl donor enhances base strength;bulkiness of t-butyl group in III offsets inductive effect

    I II III IV

    reactions with BF3 shows behavior that is influenced significantly by steric

    effects of substituents

    > > >

    steric effect

    Solvent Properties Since nearly all acid-base reactions occur in

    solution, the properties of a solvent are critical to

    the success or failure of a reaction.

    There are five features of solvents that are

    influential in acid-base reactions:

    Usable temperature range

    Dielectric constant, e

    Solvent’s donor-acceptor properties

    Solvent’s protic acidity/basicity

    Nature and extent of autodissociation

    Influence of Solvent

    Large temperature range desirable

    Important: ability to reduce attraction between ions

    Will it protonate the reactants?

    Affect energies of reactants, products

    Solutes encounter not only

    solvent molecules, but also

    cations and anions of

    autodissociation

  • 8

    Solvent Properties Solvation Effects

    Although in the gas phase, the amine bases exhibit the following trend in base strength:

    NMe3 > NHMe2 > NH2Me > NH3

    In aqueous solution, the trend is

    NHMe2 > NH2Me > NMe3 > NH3 and

    NHEt2 > NH2Et ~ NEt3 > NH3

    When the base reacts with water, the ammonium-type conjugate acid produced is charged. The presence of three methyl groups in NMe3 hampers the solvent’s ability to solvate the charged ion (more H-atoms, more H-bonding), making it less stable

    Me = methyl

    Et = ethyl

    Factors Influencing Acid-Base Reactions

    There are four basic things which must be

    considered in acid-base (donor-acceptor)

    reactions:

    1. The strength of the A-B bond (electronics)

    2. The energy change involved in structural

    rearrangements

    3. Steric contributions

    4. Solvent effects

    Aquated Metal Ions

    The interaction of water

    molecules with metal ions of high

    charge and small size (or having a

    high charge density) can lower the

    pH of a solution, even though

    there appears to be no proton

    donor present

    The base-acid interaction

    weakens the O-H bond in

    associated water molecules,

    enabling H+ ions to be released

    into solution

    [M(H2O)6]n+(aq) + H2O(l) ⇌ H3O

    +(aq) + [M(H2O)5(OH)](n-1)+(aq)

    M O

    H

    Hn+

    +

    +

    coordination complexes

    Aquated Metal Ions

    Smaller and highly charged cations (hard) like

    Al3+, Fe3+, and Ti3+ are better at pulling away

    electron density from water molecules than larger

    ions, thus these aquated ions would be expected to

    be quite acidic:

    [Al(H2O)6]3+

    (aq) + H2O(l) ⇌ H3O+

    (aq) + [Al(H2O)5(OH)]2+

    (aq)

    [Ti(H2O)6]3+

    (aq) + H2O(l) ⇌ H3O+

    (aq) + [Ti(H2O)5(OH)]2+

    (aq)

    pKa = 5.0

    pKa = 3.9

    For comparison, pKa for acetic acid is 4.74

  • 9

    Aquated Ions: Interesting Cases

    For [Cr(H2O)6]3+, formation of a dinuclear complex is

    observed in basic solution (this also happens for Fe3+)

    [Cr(H2O)6]3+

    (aq) + H2O ⇌ [Cr(H2O)5(OH)]2+ + H3O

    +(l)

    2 Cr(H2O)5(OH)]2+

    (aq) ⇌ [(H2O)4Cr(mOH)2Cr(H2O)4]4+

    (aq) + 2H2O(l)

    m denotes a “bridging” molecule. Bridging molecules (or bridging “ligands”) link Lewis acids

    Coordination Complexes

    When bases (“ligands”) interact with metal ions, a coordination complex results. This interaction is created by a neutral or anionic molecule (ligand) donating at least one electron pair to the Lewis acid metal ion

    The bonding in these complexes results from donation of an electron pair by the ligand to the metal ion (coordinate covalent bond)

    Metal ions commonly coordinate four, six, or more ligands.

    These types of complexes bridge the domains of inorganic chemistry, organometallic chemistry (M-C bonds) and biochemistry (porphyrins, proteins, etc.)

    ferrocene

    [Co(NH3)6]3+

    HbO2 + CO ⇌ HbCO + O2 K = 200

    Lewis basicity: O O C O C N-

    S2-

    HEMOGLOBIN Aquated Metal Ions

    The interaction of water

    molecules with metal ions of high

    charge and small size (or having a

    high charge density) can lower the

    pH of a solution, even though

    there appears to be no proton

    donor present

    The base-acid interaction

    weakens the O-H bond in

    associated water molecules,

    enabling H+ ions to be released

    into solution

    [M(H2O)6]n+(aq) + H2O(l) ⇌ H3O

    +(aq) + [M(H2O)5(OH)](n-1)+(aq)

    M O

    H

    Hn+

    +

    +

  • 10

    Coordination Complexes

    When bases (“ligands”) interact with metal ions, a coordination complex results. This interaction is created by a neutral or anionic molecule (ligand) donating at least one electron pair to the Lewis acid metal ion

    The bonding in these complexes results from donation of an electron pair by the ligand to the metal ion (coordinate covalent bond)

    Metal ions commonly coordinate four, six, or more ligands.

    These types of complexes bridge the domains of inorganic chemistry, organometallic chemistry (M-C bonds) and biochemistry (porphyrins, proteins, etc.)

    “LEWIS BASES”

    Geometrical Isomerism

    Two species having the same molecular formula

    and the same structural framework, but having

    different spatial arrangements of atoms around a

    central atom or double bond

    Exists in

    Square planar species: Pt(PPh3)2Cl2

    Octahedral species: SnMe2F4, SH3F3

    Trigonal bipyramidal species: Fe(CO)4PPh3

    Double bonds (cis-, trans-): 2-butene

    cis-, trans- Isomerism

    Co

    NH3

    NH3

    NH3

    Cl

    NH3

    Cl

    Co

    NH3

    NH3

    Cl NH3

    NH3

    Cl

    cis-[Co(NH3)4Cl2]+

    trans-[Co(NH3)4Cl2]+

    Pt

    Cl NH3

    Cl NH3

    Pt

    NH3 Cl

    Cl NH3

    cis-Pt(NH3)2Cl2 trans-Pt(NH3)2Cl2

    mer- and fac- Isomerism

    M XY

    X

    Y

    X

    YM XX

    X

    Y

    Y

    Y

    fac-MX3Y3 mer-MX3Y3

  • 11

    Chelating Ligands

    Some molecules/ions are capable of donating electron

    pairs through more than one atom at once. This

    interaction results in the formation of a chelate

    (pronounced: key-late) ring

    Chelating ligands tend to form very stable complexes

    with metal ions. Some ligands are even capable of

    forming more than one chelate ring (example EDTA:

    ethylene diamine tetraacetic acid)

    From Harris, Quantitative Chemical Analysis, 6th Ed.

    Nice to know: five- and six membered

    rings tend to be the most stable, and

    more chelate rings means more stable

    How many chelate rings in this structure?

    The Chelate Effect

    Polydentate ligands form more stable complexes with

    transition metal ions than monodentate ligands. They can

    easily replace monodentate ligands in displacement reactions

    For example, ethylene diamine (en) will replace ammonia in

    [Cd(NH3)4]2+

    [Cd(NH3)4]2+

    (aq) + 2en(aq) D [Cd(en)2]2+

    (aq) + 4NH3(aq)

    The additional stability of a chelate complex over a

    monodentate one is known as the chelate effect, and is

    thermodynamic in origin

    NH2

    NH2

    NH2

    NH2

    :

    :

    Mz+

    en =

    a bidentate ligand

    denticity = # of donor

    atoms in a ligand

    Chelate Effect

    The chelate effect is a result of an entropy increase, and is not so much an enthalpic effect:

    Cd2+(aq) + 4NH3(aq) [Cd(NH3)4]

    2+(aq)

    Ho = -52.5kJ/mol; So = -41.9 J/K.mol

    Cd2+(aq) + 2en(aq) [Cd(en)2]2+

    (aq)

    Ho = -55.7 kJ/mol; So = +10.4 J/K.mol

    It is seen in the reaction below that four monodentate ligands are displaced by two bidentate ligands, resulting in a greater degree of disorder (So = +52.3 J/K.mol):

    [Cd(NH3)4]2+

    (aq) + 2en(aq) [Cd(en)2]2+

    (aq) + 4NH3(aq)

    G = H - TS

    Optical Isomerism

    Similar to carbon compounds, tetrahedral

    complexes will also exhibit optical isomerism

    (chiral complexes). Octahedral complexes

    incorporating at least two bidentate ligands are

    also chiral.

    ENANTIOMERS

  • 12

    Optical Isomerism

    cis-complexes of this type exhibit this type of

    isomerism, but not trans-

    Co

    Cl

    Cl

    N1

    N4

    N2

    N3

    Co

    Cl

    Cl

    N1

    N4

    N2

    N3

    Co

    Cl

    Cl

    N1

    N4

    N2

    N3

    rotate 180o

    mirror plane

    Optical Isomerism

    Optical Activity

    A solution of one optical isomer will rotate plane-polarized light by +°

    A solution of the other optical isomer will rotate it by -°

    An equimolar mixture of the two isomers (racemic) will show no rotation

    “propeller complexes”

    M

    N

    N

    N N

    NN

    M

    N

    N

    NN

    N N

    (no relation)

    What types of isomers can exist for

    the following complexes?

    [Ru(NH3)3(OH2)3]2+

    Fe(CO)4Cl2

    Ru(bpy)3

    Ru(bpy)2Cl2

    Ni(CO)2Br2

    Cu(NH3)(OH2)BrCl

    [Ru(tpy)2]2+

    N N

    N

    N

    N

    bpy

    tpy

    Lewis Acids and Bases

    The Lewis acid-base reaction is driven by

    the base’s ability to donate electrons to the

    acid

    Recognizing Lewis acids vs. Lewis bases is

    not always easy, but

    bases typically have lone pairs or negative

    charges, while

    acids are often cations or may have empty

    (acceptor) orbitals

    Polydentate Ligands

    Other interesting polydentate ligands come

    from the crown ether class of compounds

    M+

    http://en.wikipedia.org/wiki/File:18-crown-6-potassium-3D-vdW-A.png

  • 13

    Crown Ethers Stability Constants of

    Coordination Complexes Consider the formation of ML6 (where L is a neutral

    ligand) by the addition of L to an aqueous solution of

    the cation:

    [M(H2O)6]z+(aq) + 6L(aq) D [ML6]

    z+(aq) + 6H2O(l)

    We can describe this formation reaction with a constant (like K):

    662

    66

    )( LOHM

    MLz

    z

    is the cumulative formation

    constant (here, 6 ligands in one step)

    We should break down the formation of this complex step-by-step, since the coordination of each ligand involves

    1. displacement of a water molecule

    2. coordination of the new ligand molecule

    For a metal cation of charge z+,

    [M(H2O)6]z+

    (aq) + L(aq) [M(H2O)5L]z+

    (aq) + H2O(l) K1 [M(H2O)5L]

    z+(aq) + L(aq) [M(H2O)4L2]

    z+(aq) + H2O(l) K2

    [M(H2O)4L2]z+

    (aq) + L(aq) [M(H2O)3L3]z+

    (aq) + H2O(l) K3

    [M(H2O)3L3]z+

    (aq) + L(aq) [M(H2O)2L4]z+

    (aq) + H2O(l) K4

    [M(H2O)2L4]z+

    (aq) + L(aq) [M(H2O)L5]z+

    (aq) + H2O(l) K5

    [M(H2O) L5]z+

    (aq) + L(aq) [ML6]z+

    (aq) + H2O(l) K6

    where each K is calculated as

    Kn =M (H2O)6-nLn

    z+éë

    ùû

    M (H2O)7-nz+é

    ëùû L[ ]

    stepwise

    formation

    constants

    We call K the stepwise stability (or formation) constant. β is the cumulative stability (or formation) constant

    In contrast to solubility product constants and acid dissociation constants, K is usually quite large

    Thus, for

    [M(H2O)6]n+(aq) + 6L(aq) D [ML6]

    n+(aq) + 6H2O(l)

    β6 = K1 K2 K3 K4 K5 K6

    or

    log β6 = logK1 + logK2 + logK3 + logK4 + logK5 + logK6

    Stability Constants of F- Complexation

    Stepwise stability constants for [Al(H2O)6-xFx](3-x)+ (x = 1 to 6)

    A Possible Exam Question?

    Consider the formation of a tris(oxalato)iron (III) salt

    from [Fe(H2O)6]3+(aq). (oxalate = C2O4

    2-)

    Give expressions for the stepwise equilibria for the

    formation of [Fe(ox)3]3- from Fe3+(aq) and ox2-

    (log β1 = 7.54, log β2 = 14.59, log β3 = 20.00).

    What are the numeric values of K1, K2, and K3?

    Propose a reason for why K decreases in this series?

    C C

    O

    OO

    O

    2-

    ox2-

  • 14

    Answers

    a) Fe3+(aq) = [Fe(H2O)6]3+(aq)

    oxalate is a bidentate dianion (ox2-)

    Stepwise formation of [Fe(ox)3]3-:

    [Fe(H2O)6]3+(aq) + ox2-(aq) D [Fe(H2O)4(ox)]

    1+(aq) + 2H2O(l) K1

    [Fe(H2O)4(ox)]1+(aq) + ox2-(aq) D [Fe(H2O)2(ox)2]

    1-(aq) + 2H2O(l) K2

    [Fe(H2O)2(ox)2]1-(aq) + ox2-(aq) D [Fe(ox)3]

    3-(aq) + 2H2O(l) K3

    b) β3 = K1K2K3, β2 = K1K2, and β1 = K1. So

    K1 = 107.54 = 3.5 x 107

    K2 = β2/K1 = 1.1 x 107

    K3 = β3/K1K2 = 2.6 x 105

    c) K will decrease as the charge of the

    reactant complex decreases, since

    electrostatic interaction will be less.

    The Hydrogen Bond – Donor-Acceptor Complex

    H O

    H

    H O

    H

    2d-d+d+

    d+Caused by:

    i) High POLARITY of the O-H bond

    ii) Availability of unshared electrons on

    oxygen

    Limited to H and O?

    NO! But need high electronegativities and

    unshared electron pairs

    H with N, O, F, (S, Cl)

    Hydrogen Bonding in H2O

    Do not confuse the phenomenon of

    hydrogen bonding between molecules

    with the bonds between O and H within

    a molecule!

    Hydrogen Bonding Hydrogen Bonding

  • 15

    The Hydrogen Bond

    Definition of a ‘hydrogen bond’ is a moving target

    A hydrogen bond is formed between an H atom attached to an

    electronegative atom, and another electronegative atom that

    possesses a lone pair of electrons.

    An X−HB interaction is called a hydrogen bond if it

    constitutes a local bond, and if X−H acts as a proton donor

    towards Y.

    The hydrogen bond is an attractive interaction between the

    hydrogen from a group X−H and an atom or a group of atoms

    B, in the same or different molecule(s), where there is evidence

    of bond formation.

    The Hydrogen Bond

    Hydrogen bond formation has varying contributions from

    three components:

    1. An electrostatic component, from the polarity of the XH

    bond.

    2. A partial covalent character, and transfer of charge from

    B to XH, from a donor-acceptor interaction.

    3. (London) dispersion forces.

    X−HB

    Evidence for a Hydrogen Bond

    XHB linear angle indicative of relatively strong H-bond,

    short HB distance. Increased deviation from linearity, with

    longer HB distances, indicates weaker H-bond.

    Weakening, lengthening of XH bond, decreasing vibrational

    frequency, formation of a new HB vibrational mode (IR,

    Raman spectroscopies).

    Deshielded H nucleus, strong downfield shift in 1H NMR

    spectrum.

    XHB

  • 16

    Predicting H-Bond Strengths

    XHB ⇌ XHB ⇌ X¯HB+

    pKa(XHB) = pKa(HX) - pKa(BH+)

    - Competition between two acids, XH and HB+

    Electrostatic Potential Map for Molecular Iodine I2

    Molecular Orbitals of I2

    In-phase combination of

    p-orbitals: -bonding

    Out-of-phase combination of

    p-orbitals: * antibonding

    LUMO

    The Halogen Bond

    Near linear F-Cl-O due to alignment of acceptor * LUMO

    Lengthening of F-Cl bond