The Period 4 transition metals
The Period 4 transition metals
Colors of representative compounds of the Period 4 transition metals
titanium oxide
sodium chromate
potassium ferricyanide
nickel(II) nitrate hexahydrate
zinc sulfate heptahydrate
scandium oxide
vanadyl sulfate dihydrate
manganese(II) chloride
tetrahydrate cobalt(II) chloride
hexahydrate
copper(II) sulfate
pentahydrate
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Aqueous oxoanions of transition elements
Mn(II) Mn(VI) Mn(VII)
V(V)Cr(VI)
Mn(VII)
One of the most characteristic chemical properties of these elements is the occurrence of multiple oxidation states.
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Linkage isomers
An artist’s wheel
The five d-orbitals in an octahedral field of ligands
Splitting of d-orbital energies by an octahedral field of ligands
Δ is the splitting energy
The effect of ligand on splitting energy
The color of [Ti(H2O)6]3+
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Effects of the metal oxidation state and of ligand identity on color
[V(H2O)6]2+ [V(H2O)6]3+
[Cr(NH3)6]3+ [Cr(NH3)5Cl ]2+
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The spectrochemical series
•For a given ligand, the color depends on the oxidation state of the metal ion.
•For a given metal ion, the color depends on the ligand.
I- < Cl- < F- < OH- < H2O < SCN- < NH3 < en < NO2- < CN- < CO
WEAKER FIELD STRONGER FIELD
LARGER ΔSMALLER Δ
LONGER λ SHORTER λ
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High-spin and low-spin complex ions of Mn2+
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Orbital occupancy for high- and low-spin complexes of d4 through d7 metal ions
high spin: weak-field
ligand
low spin: strong-field
ligand
high spin: weak-field
ligand
low spin: strong-field
ligand
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What is electronic spectroscopy?
Absorption
Absorption of radiation leading to electronic transitions within a molecule or complex
UV = higher energy transitions - between ligand orbitals
visible = lower energy transitions - between d-orbitals of transition metals
- between metal and ligand orbitals
UV
400
λ / nm (wavelength)
200 700
visible
Absorption
~14 000 50 00025 000
UVvisible
ν / cm-1 (frequency)−
[Ru(bpy)3]2+ [Ni(H2O)6]2+
10104
Absorption maxima in a visible spectrum have three important characteristics
1. number (how many there are)
This depends on the electron configuration of the metal centre
2. position (what wavelength/energy)
This depends on the ligand field splitting parameter, Δoct or Δtet and on the degree of inter-electron repulsion
3. intensity
This depends on the "allowedness" of the transitions which is described by two selection rules
[Ti(OH2)6]3+ = d1 ion, octahedral complex
white light400-800 nm
blue: 400-490 nm
yellow-green: 490-580 nm
red: 580-700 nm
3+
Ti
A
λ / nm
This complex is has a light purple colour
in solution because it absorbs green light
λmax = 510 nm
Absorption of light
eg
t2g
Δo
hν
d-d transition
[Ti(OH2)6]3+ λmax = 510 nm Δo is ∴ 243 kJ mol-1
20 300 cm-1
The energy of the absorption by [Ti(OH2)6]3+ is the ligand-field splitting, Δo
An electron changes orbital; the ion changes energy state
complex in electronic Ground State (GS)
complex in electronic excited state (ES)
GS
ES
GS
ES
eg
t2g
Limitations of ligand field theory
LFT assumes there is no inter-electron repulsion
[Ni(OH2)6]2+ = d8 ion
2+
Ni
A
3 absorption bands
eg
t2g
Repulsion between electrons in d-orbitals has an effect on the energy of the whole ion
15 00025 000ν / cm-1−
Electron-electron repulsiond2 ion
eg
t2g
xy xz yz
z2 x2-y2 eg
t2g
xy xz yz
z2 x2-y2
xz + z2
lobes overlap, large electron repulsion
x
z
xy + z2
lobes far apart, small electron repulsion
x
z
y y
These two electron configurations do not have the same energy
A
ν / cm-1-30 00020 00010 000
[Ti(H2O)6]3+, d1
2T2g
2Eg
2B1g
2A1g
The Jahn-Teller Distortion: Any non-linear molecule in a degenerate electronic state will undergo distortion to lower it's symmetry and lift the degeneracy
d3 4A2gd5 (high spin) 6A1gd6 (low spin) 1A1gd8 3A2g
Degenerate electronic ground state: T or E
Non-degenerate ground state: A
- some covalency in M-L bonds – M and L share electrons
-effective size of metal orbitals increases
-electron-electron repulsion decreases
Nephelauxetic series of ligands
F- < H2O < NH3 < en < [oxalate]2- < [NCS]- < Cl- < Br- < I-
Nephelauxetic series of metal ions
Mn(II) < Ni(II) Co(II) < Mo(II) > Re (IV) < Fe(III) < Ir(III) < Co(III) < Mn(IV)
cloud expandingThe Nephelauxetic Effect
Selection Rules
Transition ε complexes
Spin forbidden 10-3 – 1 Many d5 Oh cxsLaporte forbidden [Mn(OH2)6]2+
Spin allowedLaporte forbidden 1 – 10 Many Oh cxs
[Ni(OH2)6]2+
10 – 100 Some square planar cxs[PdCl4]2-
100 – 1000 6-coordinate complexes of low symmetry, many square planar cxs particularly with organic ligands
Spin allowed 102 – 103 Some MLCT bands in cxs with unsaturated ligandsLaporte allowed
102 – 104 Acentric complexes with ligands such as acac, or with P donor atoms
103 – 106 Many CT bands, transitions in organic species
Tanabe-Sugano diagram for d2 ions
E/B
Δ/B
[V(H2O)6]3+: Three spin allowed transitions
ν1 = 17 800 cm-1 visible
ν2 = 25 700 cm-1 visible
ν3 = obscured by CT transition in UV
10 000
ε
30 000ν / cm-1−
10
20 000
5
25 700 = 1.4417 800
Δ/B = 32
ν3 = 2.1ν1 = 2.1 x 17 800
∴ ν3 = 37 000 cm-1
= 32
E/B
Δ/B = 32
ν1 = 17 800 cm-1
ν2 = 25 700 cm-1
ν1
ν2E/B = 43 cm-1
E/B = 30 cm-1
E/B = 43 cm-1 E = 25 700 cm-1
B = 600 cm-1
Δo / B = 32
Δo = 19 200 cm-1
Tanabe-Sugano diagram for d3 ions
E/B
Δ/B
[Cr(H2O)6]3+: Three spin allowed transitionsν1 = 17 400 cm-1 visible
ν2 = 24 500 cm-1 visible
ν3 = obscured by CT transition
24 500 = 1.4117 400
Δ/B = 24
ν3 = 2.1ν1 = 2.1 x 17 400
∴ ν3 = 36 500 cm-1
= 24
Calculating ν3
E/B
Δ/B
ν1 = 17 400 cm-1
ν2 = 24 500 cm-1
= 24
E/B = 34 cm-1
E/B = 24 cm-1
When ν1 = E =17 400 cm-1
E/B = 24
so B = 725 cm-1
When ν2 = E =24 500 cm-1
E/B = 34
so B = 725 cm-1
If Δ/B = 24
Δ = 24 x 725 = 17 400 cm-1
Tanabe-Sugano diagrams
E/B
Δ/B
2T2g
4A1g, 4E
4T2g
4T1g
4T2g
4T1g
2A1g
4T2g
2T2g
6A1g
2Eg
4A2g, 2T1g
2T1g
2A1g
4EgAll terms includedGround state assigned to E = 0Higher levels drawn relative to GSEnergy in terms of BHigh-spin and low-spin configurations
Critical value of Δ
d5
WEAK FIELD STRONG FIELD
TiF4 d0 ion
TiCl4 d0 ion
TiBr4 d0 ion
TiI4 d0 ion
d0 and d10 ion have no d-d transitions
[MnO4]- Mn(VII) d0 ion
[Cr2O7]- Cr(VI) d0 ion
[Cu(MeCN)4]+ Cu(I) d10 ion
[Cu(phen)2]+ Cu(I) d10 ion colourless
dark orange
Zn2+ d10 ion white
extremely purplebright orange
d0 and d10 ions
white
whiteorange
dark brown
Charge Transfer Transitions
Charge Transfer Transitions
Ligand-to-metal charge transferLMCT transitions
Metal-to-ligand charge transferMLCT transitions
MdLπ
Lσ
Lπ∗
t2g*
eg*
d-d transitions
Energy of transitions
molecular rotationslower energy (0.01 - 1 kJ mol-1)microwave radiation
electron transitionshigher energy (100 - 104 kJ mol-1)visible and UV radiation
molecular vibrationsmedium energy (1 - 120 kJ mol-1)IR radiation
Ground State
Excited State
During an electronic transition
the complex absorbs energy
electrons change orbital
the complex changes energy state