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Complexes of the d-Block Elements

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Title: Complexes of the d-Block Elements


1
Complexes of the d-Block Elements
  • Transition Metal Chemistry

2
Complexes of the d-Block Elements
  • Ions of d-block elements are excellent Lewis
    acids (electron pair acceptors).
  • They form coordinate covalent bonds with
    molecules or ions that can act as Lewis bases
    (electron pair donors).
  • Complexes formed in this way participate in many
    biological reactions (e.g., hemoglobin, vitamin
    B12) and are important in other ways as well
    (e.g., catalysis, dyes, solar energy conversion).

3
Terminology
  • Ligand - a molecule or ion attached to a central
    metal atom or ion. Typically, there are four or
    six ligands in a complex. coordinate (verb) - to
    attach. (Ligands coordinate to the metal when
    they form the complex.)
  • Coordination compound - a compound with a
    coordinate covalent bond.
  • Coordination sphere - the sphere around the
    central ion made up of the ligands directly
    attached to it. Primary and secondary
    coordination sphere.
  • Coordination number - the number of points where
    ligands are attached to the central metal atom.

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5
Preparation of Complexes
  • The figure at left shows cyanide ions (in the
    form of KCN), being added to an aq. solution of
    FeSO4.
  • Since water is a Lewis base, the Fe2 ions were
    originally in the complex Fe(H2O)62
  • The CN- ions are driving out the H2O molecules
    in this substitution reaction that form the
    hexacyanoferrate(II) ion, Fe(CN)64- .

Fe(H2O)62 6 CN-
Fe(CN)64 6 H2O
6
Various Colors of d-Metal Complexes
The color of the complex depends on the identity
of the ligands as well as of the metal..
Impressive changes of color often accompany
substitution reactions.
From left, Fe(SCN)(H2O)52, Co(SCN)4(H2O)22-,
Cu(NH3)4(H2O)22, and CuBr42-.
7
Structures and symmetries
  • Six-coordinate complexes are almost all
    octahedral (a).
  • Four-coordinate complexes can be tetrahedral (b)
    or square planar (c).
  • (Square planar usually occurs with d8 electron
    configurations, such as in Pt2 and Au3.)

8
Representing Octahedral Shapes
  • Instead of a perspective drawing (a), we can
    represent octahedral complexes by a simplified
    drawing that emphasizes the geometry of the
    bonds (b).

9
Representative Ligands and NomenclatureBidentate
Ligands
  • Polydentate Ligands
  • Some ligands can simultaneously occupy more than
    one binding site.
  • Ethylenediamine (above) has a nitrogen lone pair
    at each end, making it bidentate. It is widely
    used and abbreviated en, as in Co(en)33.

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11
Ethylenediaminetetraacetate Ion (EDTA)
  • EDTA4- is another example of a chelating agent.
    It is hexadentate.
  • This ligand forms complexes with many metal ions,
    including Pb2, and is used to treat lead
    poisoning.
  • Unfortunately, it also removes Ca2 and Fe2
    along with the lead.
  • Chelating agents are common in nature.

12
Porphyrins and phthalocyanins
13
Chelates
  • The metal ion in Co(en)33 lies at the center
    of the three ligands as though pinched by three
    molecular claws. It is an example of a chelate,
  • A complex containing one or more ligands that
    form a ring of atoms that includes the central
    metal atom.

14
Naming Transition Metal Complexes
  • Cation name first then anion name.
  • List first the ligands, then the central atom
  • The ligand names are made to end in -O if
    negative
  • Anion part of the complex ends in -ate
  • Eg. Cu(CN)64- is called the hexacyanocuprate(II)
    ion
  • The ligands are named in alphabetic order
  • Number of each kind of ligand by Greek prefix
  • The oxidation state of the central metal atom
    shown in parenthesis after metal name
  • Briding is shown with ? (? -oxo)

15
Some Common Ligand Names
16
Names of Ligands (continued)
17
Examples
  • Co(NH3)4Cl2Cl
  • dichlorotetramminecobalt(III) chloride
  • Pt(NH3)3Cl2PtCl4 di(monochlorotriammineplatin
    um(II)) tetrachloroplatinate(II).
  • K3Fe(ox)(ONO)4
  • potassium tetranitritooxalatoferrate(III)

18
Use bis and tris for di and trifor chelating
ligands
  • Co(en)3(NO3)2
  • tris(ethylenediamine)cobalt(II) nitrate
  • Ir(H2O)2(en)2Cl3
  • bis(ethylenediamine)diaquairidium(III) chloride
  • Ni(en)33MnO4
  • Tris(ethylenediamine)nickel(II)
    tetraoxomanganate(II)

19
The Eta(h) System of Nomenclature
  • For for p bonded ligands number of atoms attached
    to the metal atom is shown by hn

(h5 -cyclopentadienyl) tricarbonyl
manganese tetracarbonyl (h3-allyl) manganese,
Mn(C3H5)(CO)4
20
Isomers
  • Both structural and stereoisomers are found.
  • The two ions shown below differ only in the
    positions of the Cl- ligand, but they are
    distinct species, with different physical and
    chemical properties.

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22
Ionization Isomers
  • These differ by the exchange of a ligand with an
    anion (or neutral molecule) outside the
    coordination sphere. CoSO4(NH3)5Br has the Br-
    as an accompanying anion (not a ligand) and
    CoBr(NH3)5SO4 has Br - as a ligand and
    SO42-as accompanying anion.

23
Ionization Isomers
The red-violet solution of Co(NH3)5BrSO4 (left)
has no rxn w/ Ag ions, but forms a ppt. when
Ba2 ions are added. The dark red solution of
CoSO4(NH3)5Br (right) forms a ppt. w/ Ag ions,
but does not react w/ Ba2 ions.
24
Hydrate Isomers
  • These differ by an ex-change between an H2O
    molecule and another ligand in the coordination
    sphere.
  • The solid, CrCl3. 6H2O, may be any of three
    compounds.
  • Cr(H2O)6Cl3 (violet)
  • CrCl(H2O)5Cl2.H2O (blue-green)
  • CrCl2 (H2O)4Cl.2H2O (green)
  • Primary and secondary coordination spheres

25
Linkage Isomers
  • The triatomic ligand is the isothiocyanato,
    NCS-. In (b) it is the thiocyanato, SCN-.
  • Other ligands capable or forming linkage isomers
    are
  • NO2- vs. ONO -
  • CN - vs. NC - .

(a) NSC- ligand (the N is closest to the center)
(b) SCN- ligand (S is closest the center)
26
Coordination Isomers
  • These occur when one or more ligands are
    exchanged between a cationic complex and an
    anionic complex.
  • An example is the pair Cr(NH3)6Fe(CN)6
    andFe(NH3)6Cr(CN)6.

27
Stereoisomers
  • Ionization, hydrate, linkage, and coordination
    isomers are all structural isomers.
  • In stereoisomers, the formulas are the same. The
    atoms have the same partners in the coordination
    sphere, but the arrangement of the ligands in
    space differs.
  • The cis- and trans- geometric isomers shown in
    next slide differ only in the way the ligands are
    arranged in space.
  • There can be geometric isomers for octahedral and
    square planar complexes, but not for tetrahedral
    complexes.

28
Square Planar ComplexesGeometric Isomers
  • Properties of geometric isomers can vary greatly.
  • The cis- isomer below is pale orange-yellow, has
    a solubility of 0.252 g/100 g water, and is
    used for chemotherapy treatment.
  • The trans- isomer is dark yellow, has a
    solu-bility of 0.037 g/100 g water, and shows no
    hemotherapeutic effect.

29
cis and trans-PtCl2(NH3)2
30
Trans Effect Influence
31
Preparation Geometrical Isomers
32
Optical Isomerism
The two complexes at left are mirror images. (The
gray rectangle represents a mirror, through which
we see somewhat darkly.) No matter how the
com-plexes are rotated, neither can be
superimposed on the other. Note only four of
the six ligands are different.
33
Combined Stereoisomerisms
  • Both geometrical and optical isomerism can occur
    in the same complex, as below. The trans-
    isomer is green.
  • The two cis- isomers, which are optical isomers
    of each other, are violet.

34
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35
Identifying Optical Isomerism
If a molecule or ion belong to a point group with
a Sn axis is is not optically active
36
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37
Molecular Polarity and Chirality Polarity
  • PolarityOnly molecules belonging to the point
    groups Cn, Cnv and Cs are polar. The dipole
    moment lies along the symmetry axis formolecules
    belonging to the point groups Cn and Cnv.
  • Any of D groups, T, O and I groups will not be
    polar

38
Chirality
  • Only molecules lacking a Sn axis can be chiral.
  • This includes mirror planes
  • and a center of inversion as
  • S2s , S1I and Dn groups.
  • Not Chiral Dnh, Dnd,Td and Oh.

39
Optical Activity
40
Bonding and electronic structure
  • Bonding Theories of Transition Metal Complexes
  • Valance Bond Theory
  • Crystal Field Theory
  • Ligand Field Theory or Molecular Orbital Theory

41
Valance Bond Theory
  • Outer orbital" (sp3d2) and Inner orbital"
    (d2sp3)
  • CoF63- - Co3 d6
  • Co(NH3)63 - Co3 d6

42
Crystal Field Theory
  • In the electrical fields created by ligands
  • The orbitals are split into two groups a set
    consisting of dxy, dxz, and dyz stabilized by
    2/5Do, known by their symmetry
  • classification as the t2g set, and a set
    consisting of the dx2-y2 and dz2, known as the eg
    set, destabilized by 3/5Do where Do is the gap
    between the two sets.

43
Crystal Field Splitting of d Orbitals
44
Octahedral Crystal Field Splitting
45
Crystal Field Stabilization Energy
  • Crystal Field stabilization parameter Do

46
Crystal Field Stabilization Energy
  • d7 case.
  • Weak field case
  • The configurations would be written t2g5 eg2
  • 5(-2/5Do) 2(3/5Do) -4/5Do
  • Strong field case
  • The configurations would be written t2g6 eg1
  • 6(-2/5Do) 1(3/5Do) -9/5Do

47
CFSE Paring Energy
  • Fe(H2O)62. Iron has a d6 configuration, the
    value of Do is 10,400 cm-1 and the pairing
    energy is 17600cm-1. (1 kJ mol-1 349.76 cm-1.)
    We must compare the total of the CFSE and the
    pairing energy for the two possible
    configurations.

48
  • high spin (more stable)
  • CFSE 4 x -2/5 x 10400 2 x 3/5 x 10400
    -4160cm-1 (-11.89 kJ mol-1)
  • Pairing energy (1 pair) 1 x 17600 17600 cm-1
    (50.32 kJ mol-1
  • Total 13440 cm-1 (38.43 kJ mol-1)
  • low spin
  • CFSE 6 x -2/5 x 10400 -24960 cm-1 (-71.36 kJ
    mol-1)
  • Pairing energy (3 pairs) 3 x 17600 52800
    (151.0 kJ mol-1)
  • Total 27840 cm-1 (79.60 kJ mole-1)

49
Tetrahedral complexes
  • Splitting order or reversed. eg is now lower
    energy and t2g is hgher energy
  • Because a tetrahedral complex has fewer ligands,
    the magnitude of the splitting is smaller. The
    difference between the energies of the t2g and eg
    orbitals in a tetrahedral complex (t) is slightly
    less than half as large as the splitting in
    analogous octahedral complexes (o)
  • Dt 4/9Do

50
Tetrahedral Ligand Arrangement
Dt 4/9Do Mostly forms high spin complxes
51
Octahedral Crystal Field Splitting
52
Square-planar Complexes-D4h
53
Generalizations about Crystal Field Splittings
  • The actual value of D depends on both the metal
    ion and the nature of the ligands
  • The splitting increases with the metal ion
    oxidation state. For example, it roughtly doubles
    going from II to III.
  • The splitting increases by 30 - 50 per period
    down a group.
  • Tetrahedral splitting would be 4/9 of the
    octahedral value if the ligands and metal ion
    were the same.

54
Spectrochemical Series for Ligands
  • It is possible to arrange representative ligands
    in an order of increasing field strength called
    the spectrochemical series
  • I lt Br lt -SCN lt Cl lt F lt OH lt C2O42 lt H2O
    lt -NCS lt py lt NH3 lt en lt bipy lt o-phen lt NO2 lt
    CN lt CO

55
Spectrochemical Series for Metals
  • It is possible to arrange the metals according to
    a spectrochemical series as well. The approximate
    order is
  • Mn2 lt Ni2 lt Co2 lt Fe 2 lt V2 lt Fe3 lt Co3
    lt Mn3 lt Mo3 lt Rh3 lt Ru3 lt Pd4 lt Ir3 lt Pt
    3

56
Spectrum of Ti(H2O)63.
d1 t2g1eg0 gt t2g0eg1
57
Hydration Enthalpy.
  • M2(g) 6 H2O(l) M(O2H)62(aq)

58
Irving-Williams Series
59
Ligand Field Splitting and Metals
  • the transition metal also impacts Do increases
    with increasing oxidation number
  • Do increases as you move down a group (i.e.
    with increasing principal quantum number n)

60
Ligand Field Stabilization Energies
  • LFSE is a function of Do
  • weighted average of the splitting due to the
  • fact that they are split into groups of 3 (t2g)
  • and 2 (eg)

61
Weak Field vs. Strong Field
  • now that d orbitals are not degenerate how do we
    know what an electronic ground state for a d
    metal complex is? need to determine the relative
    energies of pairing vs. Do

62
Splitting vs. Pairing
  • when you have more than 3 but fewer than 8 d
  • electrons you need to think about the relative
    merits
  • pairing vs. Do
  • high-spin complex one with maximum number of
    unpaired electrons
  • low-spin complex one with fewer unpaired
    electrons

63
Rules of Thumb for Splitting vs Pairing
  • depends on both the metal and the ligands
  • high-spin complexes occur when o is small Do is
    small when
  • n is small (3 rather than 4 or 5) high spin
    only really for 3d metals
  • oxidation state is low i.e. for oxidation
    state of zero or 2
  • ligands is low in spectrochemical series eg
    halogens

64
Four Coordinate Complexes Tetrahedral
  • Same approach but different set of orbitals with
    different ligand field
  • Arrangement of tetrahedral field of point
    charges results in splitting of energy where dxy,
    dzx, dyz are repelled more by Td field of
    negative charges
  • So the still have a split of the d orbitals
    into triply degenerate (t2) and double degenerate
    (e) pair but now e is lower energy and t2 is
    higher.

65
Tetrahedral Crystal Field Splitting
66
Ligand Field Splitting Dt
  • describes the separation between
    reviouslydegenerate d orbitals
  • Same idea as Do but Dt lt 0.5 Do for comparable
    systems
  • So Almost Exclusively Weak Field

67
Electron configurations in octahedral fields
Weak field and strong fieled cases
68
Tetragonal Complexes
  • Start with octahedral geometry and follow the
  • energy as you tetragonally distort the octahedron
  • Tetragonal distortion extension along z and
  • compression on x and y
  • Orbitals with xy components increase in
  • energy, z components decrease in energy
  • Results in further breakdown of degeneracy
  • t2g set of orbitals into dyz, dxz and dxy
  • eg set of orbitals into dz2 and dx2-y2

69
Tetragonal Complexes
70
Square Planar Complexes
  • extreme form of tetragonal distortion
  • Ligand repulsion is completely removed from
  • z axis

Common for 4d8 and 5d8 complexes Rh(I),
Ir(I) Pt(II), Pd(II)
71
Jahn Teller Distortion
  • geometric distortion may occur in systems
  • based on their electronic degeneracy
  • This is called the Jahn Teller Effect
  • If the ground electronic configuration of a
  • nonlinear complex is orbitally degenerate, the
  • complex will distort to remove the degeneracy
  • and lower its energy.

72
Jahn Teller Distortions
  • Orbital degeneracy for octahedral geometry
  • these are
  • t2g3eg1 eg. Cr(II), Mn(III) High spin complexes
  • t2g6eg1 eg. Co(II), Ni(II)
  • t2g6eg3 eg. Cu(II)
  • basically, when the electron has a choice between
    one of the two degenerate eg orbitals, the
    geometry will distort to lower the energy of the
    orbital that is occupied.
  • Result is some form of tetragonal distortion

73
Ligand Field Theory
  • Crystal field theory simple ionic model, does
    not accurately describe why the orbitals are
    raised or lowered in energy upon covalent
    bonding.
  • LFT uses Molecular Orbital Theory to derive the
    ordering of orbitals within metal complexes
  • Same as previous use of MO theory, build ligand
    group orbitals, combine them with metal atomic
    orbitals of matching symmetry to form MOs

74
LFT for Octahedral Complexes
  • Consider metal orbitals and ligand group orbitals
  • Under Oh symmetry, metal atomic orbitals
    transform as
  • Degeneracy Mulliken Label
    Atomic Orbital
  • 2 eg
    dx2-y2, dz2
  • 3 t2g
    dxy, dyz, dzx
  • 3 t1u
    px, py, pz
  • 1 a1g
    s

75
Sigma Bonding Ligand Group Orbitals
76
Combinationsof Metal andLigand SALCs
77
Molecular Orbital Energy Level Diagram Oh
78
PI Bonding
  • pi interactions alter the
  • MOELD that results from
  • sigma bonding
  • interactions occur between
  • frontier metal orbitals and the
  • pi orbitals of L
  • two types depends on the ligand
  • pi acid - back bonding accepts e- density from M
  • pi base -additional e- density donation to the M
  • type of bonding depends on relative energy
    level
  • of pi orbitals on the ligand and the metal
    orbitals

79
PI Bases and the MOELD Oh
  • pi base ligands
  • contribute more
  • electron density to
  • the metal
  • t2g is split to form a
  • bonding and
  • antibonding pair of
  • orbitals
  • Do is decreased
  • halogens are good
  • pi donors

80
PI Acids and the MOELD Oh
  • pi acids accept electron
  • density back from the
  • metal
  • t2g is split to form a
  • bonding and antibonding
  • pair of orbitals
  • the occupied bonding
  • set of orbitals goes
  • down in energy so ..
  • Do increases
  • typical for phosphine
  • and carbonyl ligands

81
Magnetic Properties of Atoms
  • a) Diamagnetism?
  • Repelled by a magnetic field due to paired
    electrons. b)Paramagnetism?
  • attracted to magnetic field due to un-paired
    electrons.
  • c) Ferromagnetism?
  • attracted very strongly to magnetic field due to
    un-paired electrons.
  • d)Anti-ferromagnetic?
  • Complete cancelling of unpaired electrons in
    magnetic domains

82
Magnetic Suceptibility Vs Temperature
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84
Magnetic Properties
  • A paramagnetic substance is characterised
    experimentally by its (molar) magnetic
    susceptibility, cm. This is measured by
  • suspending a sample of the compound under a
    sensitive balance between the poles of a powerful
    electro-magnet,

85
Number of Unparied Electrons
  • The magnetic moment of the substance is given by
    the Curie Law
  • m 2.54(cmT)½ (in units of Bohr
    magnetons)
  • The formula used to calculate the spin-only
    magnetic moment can be written in two forms
  • m ?n(n2) B.M.

86
Magnetic Properties of Atoms
  • Paramagnetism?
  • Ferromagnetism?
  • Diamagnetism?
  • Gouvy Balance

87
Octahedral Complexes
88
Tetrahedral Complexes
89
The lifetimes for ligand substitutions
90
Inert Labile Complexses
  • The lifetimes for ligand substitutions span the
    range 109 s (i.e. diffusion limited) to 109 s
  • (for heavier d-metals in high oxidation states,
    e.g. IrIII, PtIV ).
  • complexes of the s-block metals are generally
    labile
  • for s- and p-block metals complex lability
    increases in the order M3ltM2ltM
  • apart from inert Vaq2 and very labile Cu2, 3d
    M2 complexes are moderately labile, lability
    decreasing with increase in d-electron count
  • octahedrally co-ordinate Cu2 undergoes
    Jahn-Teller distortion monodentate axial ligands
    are weakly bound and readily exchanged
  • M3 complex ions of the first transition series
    metals are not necessarily less labile than their
    M2 counterparts
  • d-electron configuration is influential, d3 and
    d8 confer low lability
  • complexes of low oxidation state d10 ions are
    very labile

91
Stepwise Formation Constants
M 4L -gt ML4
l. M L -gt ML K1 ML / M
L 2. ML L -gt ML2 K2 ML2 /
ML L 3. ML2 L -gt ML3 K3
ML3 / ML2 L 4. ML3 L -gt ML4
K4 ML4 / ML3 L Alternatively, we can
write the "Overall Foramtion Constant" thus
M 4L -gt ML4 b4 ML4/ M
L4 b4 K1.K2.K3.K4 or more generally, bn
K1.K2.K3.K4 --------------Kn
Normally K1gtK2gtK3gtK4
92
The Chelate Effect
  • The chelate effect can be seen by comparing the
    reaction of a chelating ligand and a metal ion
    with the corresponding reaction involving
    comparable monodentate ligands.

93
Mechanisms of Ligand substitution
  • The dissociative reaction is the predominant
    mechanism for substitution in octahedral
    complexes.
  • Ni(OH2)62 L --gt Ni(OH2)5L2 H2O

94
Mechanisms of Ligand substitution
  • The associative reaction is the predominant
    mechanism for substitution in tetrahedral
    complexes.
  • Pt(Cl2) (py)2 L --gt Pt(Cl) L(py)2 Cl-
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