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Factors affecting the magnitude
of 10 Dq.
Dr. Mithil S. Fal Desai
Assistant Professor in Chemistry
SHREE MALLIKARJUN
&
Shri Chetan Manju Desai College
Canacona Goa
Background and references
2
1. Concise Inorganic Chemistry, J. D. Lee, Chapman & Hall India, 4rth Edition, Year 1991
2. Inorganic Chemistry: Principle of structure and reactivity, J. E. Huheey, E. A. Keiter. R. L.
Keiter, O. K. Medhi, Pearson Education India, 4rth Edition, Year 2006
• Crystal Field splitting
• Crystal field stabilization energy
• Degenerate orbitals
• Spectrochemical series
• 3d and 4d transition series
• Octahedral and tetrahedral field
10 Dq
Five degenerate d
orbitals in free
metal ion
Five d orbitals
in octahedral
field
d orbitals are split
into two groups
dz
2
dx
2
-y
2
dxy
dyz
dxz
eg
t2g
energy
The difference in energy between the two d
levels (eg and t2g) in a octahedral field is given
either of the symbols Δo or 10 Dq.
10 Dq
or Δo
M
+z
-z
-x -y
+x
+y
L
L
L
L
L
L
The term Dq is derived from quantum mechanics and is product of two terms D (L=2) and q and is called Differential of
quanta (implying the energy).
Δo and Δt
Five degenerate d
orbitals in free
metal ion
Five d orbitals
in octahedral
field
dz
2
dx
2
-y
2
dxy
dyz
dxz
eg
t2g
dz
2
dx
2
-y
2
dxy
dyz
dxz
eg
t2g
Five d orbitals
in tetrahedral
field
energy
-0.4 Δo
+0.6 Δo
+0.4 Δt
-0.6 Δt
Δt
Δo
Bari centre
(average energy
level)
1) The nature of the ligands
Spectrochemical series
I- < Br- < S2-< Cl- < NO3
- < F- < OH- < EtOH < oxalate < H2O < EDTA < (NH3 and pyridine) < ethylenediamine < dipyridyl < o-phenanthrolir:ie < NO2
- < CN- < CO
Weak field ligand Strong field ligand
eg
t2g
Δo
eg
t2g
Δo
Complex
Absorption
peak in cm-1
Energy in kJ
mol-1
[CrCl6]3- 13640 163
[Cr(CN)6]3- 26280 314
Five degenerate
d orbitals Five degenerate
d orbitals
The crystal field splitting produced by the strong field like CN- ions is about double
that for weak field ligands like the halide ions.
2)The charge on the metal ion.
eg
t2g
Δo
eg
t2g
Δo
Complex
Absorption
peak in cm-1
Energy in kJ mol-
1
Electronic
configuration
[Co(H2O)6]2+ 9300 111 d7
[Co(H2O)6]3+ 18600 222 d6
Five degenerate
d orbitals
Five degenerate
d orbitals
In 3d transition metal ions, the values of 10 Dq for M3+ complexes are approximately
50% larger than the values for M2+ complexes
3) Position of metal ion in 3d or 4d or 5d transition
series.
eg
t2g
Δo
eg
t2g
Δo
Complex
Absorption peak
in cm-1 Energy in kJ mol-1
[Co(NH3)6]3+ 24800 296
[Rh(NH3)6]3+ 34000 490
Five degenerate
d orbitals
Five degenerate
d orbitals
The value of 10 Dq also increases by about 30% between adjacent members
down a group for the transition elements
4) Number of Ligands
• The magnitude of crystal field splitting(10 Dq)
increases with the increase of the number of
ligands.
∆O > ∆t

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Factors affecting the magnitude of 10 Dq

  • 1. Factors affecting the magnitude of 10 Dq. Dr. Mithil S. Fal Desai Assistant Professor in Chemistry SHREE MALLIKARJUN & Shri Chetan Manju Desai College Canacona Goa
  • 2. Background and references 2 1. Concise Inorganic Chemistry, J. D. Lee, Chapman & Hall India, 4rth Edition, Year 1991 2. Inorganic Chemistry: Principle of structure and reactivity, J. E. Huheey, E. A. Keiter. R. L. Keiter, O. K. Medhi, Pearson Education India, 4rth Edition, Year 2006 • Crystal Field splitting • Crystal field stabilization energy • Degenerate orbitals • Spectrochemical series • 3d and 4d transition series • Octahedral and tetrahedral field
  • 3. 10 Dq Five degenerate d orbitals in free metal ion Five d orbitals in octahedral field d orbitals are split into two groups dz 2 dx 2 -y 2 dxy dyz dxz eg t2g energy The difference in energy between the two d levels (eg and t2g) in a octahedral field is given either of the symbols Δo or 10 Dq. 10 Dq or Δo M +z -z -x -y +x +y L L L L L L The term Dq is derived from quantum mechanics and is product of two terms D (L=2) and q and is called Differential of quanta (implying the energy).
  • 4. Δo and Δt Five degenerate d orbitals in free metal ion Five d orbitals in octahedral field dz 2 dx 2 -y 2 dxy dyz dxz eg t2g dz 2 dx 2 -y 2 dxy dyz dxz eg t2g Five d orbitals in tetrahedral field energy -0.4 Δo +0.6 Δo +0.4 Δt -0.6 Δt Δt Δo Bari centre (average energy level)
  • 5. 1) The nature of the ligands Spectrochemical series I- < Br- < S2-< Cl- < NO3 - < F- < OH- < EtOH < oxalate < H2O < EDTA < (NH3 and pyridine) < ethylenediamine < dipyridyl < o-phenanthrolir:ie < NO2 - < CN- < CO Weak field ligand Strong field ligand eg t2g Δo eg t2g Δo Complex Absorption peak in cm-1 Energy in kJ mol-1 [CrCl6]3- 13640 163 [Cr(CN)6]3- 26280 314 Five degenerate d orbitals Five degenerate d orbitals The crystal field splitting produced by the strong field like CN- ions is about double that for weak field ligands like the halide ions.
  • 6. 2)The charge on the metal ion. eg t2g Δo eg t2g Δo Complex Absorption peak in cm-1 Energy in kJ mol- 1 Electronic configuration [Co(H2O)6]2+ 9300 111 d7 [Co(H2O)6]3+ 18600 222 d6 Five degenerate d orbitals Five degenerate d orbitals In 3d transition metal ions, the values of 10 Dq for M3+ complexes are approximately 50% larger than the values for M2+ complexes
  • 7. 3) Position of metal ion in 3d or 4d or 5d transition series. eg t2g Δo eg t2g Δo Complex Absorption peak in cm-1 Energy in kJ mol-1 [Co(NH3)6]3+ 24800 296 [Rh(NH3)6]3+ 34000 490 Five degenerate d orbitals Five degenerate d orbitals The value of 10 Dq also increases by about 30% between adjacent members down a group for the transition elements
  • 8. 4) Number of Ligands • The magnitude of crystal field splitting(10 Dq) increases with the increase of the number of ligands. ∆O > ∆t