
Concept explainers
(a)
Interpretation:
For the given complex the orbital splitting diagram has to be drawn using spectrochemial series.
[Cr(CN)6]3−
Concept introduction:
The element in the periodic table and count its position in the respective transition series. These elements are in Periods 5 and 6, so the general configuration is
[noble gas]ns2(n− 1)dx.
Spectrochemical series: The list of ligands arranged in an ascending order of (Δ) (the splitting of d-orbitals in presence of various ligands).
I-< Br-< SCN-< Cl-< S2-< F-< OH-< O2-< H2O < NCS-< edta4-< NH3< en < NO2-< CN-< CO→weak-field increasing(Δ) strong-field ligands ligands
Crystal field splitting: The energy gap between the splitting of d-orbitals of the metal ion in presence of ligands is known as the crystal field splitting (Δ). The magnitude of (Δ) is depends on the nature of metal ions and the ligands.
Splitting of five d-orbitals in an octahedral crystals field is as follows:
Figure 1
(a)

Explanation of Solution
Given,
[Cr(CN)6]3−
Electron configuration of Cr: [Ar]4s13d5
Charge on Cr: The aqua ligands are neutral, so the charge on Cr is +3.
Electron configuration of Cr3+: [Ar]3d3
Six ligands indicate an octahedral arrangement. Using Hund’s rule, fill the lower energy
t2g orbitals first, filling empty orbitals before pairing electrons within an orbital.
(b)
Interpretation:
For the given complex the orbital splitting diagram has to be drawn using spectrochemial series.
[Rh(CO)6]3+
Concept introduction:
The element in the periodic table and count its position in the respective transition series. These elements are in Periods 5 and 6, so the general configuration is
[noble gas]ns2(n− 1)dx.
Spectrochemical series: The list of ligands arranged in an ascending order of (Δ) (the splitting of d-orbitals in presence of various ligands).
I-< Br-< SCN-< Cl-< S2-< F-< OH-< O2-< H2O < NCS-< edta4-< NH3< en < NO2-< CN-< CO→weak-field increasing(Δ) strong-field ligands ligands
Crystal field splitting: The energy gap between the splitting of d-orbitals of the metal ion in presence of ligands is known as the crystal field splitting (Δ). The magnitude of (Δ) is depends on the nature of metal ions and the ligands.
Splitting of five d-orbitals in an octahedral crystals field is as follows:
Figure 1
(b)

Explanation of Solution
Given,
[Rh(CO)6]3+
Electron configuration of Rh: [Ar]4s13d8
Charge on Rh: The carbonyl ligands are neutral, so Rh has a +3 charge.
Electron configuration of Rh3+: [Ar]3d6
Four ligands and a d6 configuration indicate an octahedral geometry. Use Hund’s rule to fill in the nine d electrons. Thus, the carbonyl ligands is strong so the correct orbital-energy splitting diagram shows no unpaired electron.
(c)
Interpretation:
For the given complex the orbital splitting diagram has to be drawn using spectrochemial series.
[Co(OH)6]4−
Concept introduction:
The element in the periodic table and count its position in the respective transition series. These elements are in Periods 5 and 6, so the general configuration is
[noble gas]ns2(n− 1)dx.
Spectrochemical series: The list of ligands arranged in an ascending order of (Δ) (the splitting of d-orbitals in presence of various ligands).
I-< Br-< SCN-< Cl-< S2-< F-< OH-< O2-< H2O < NCS-< edta4-< NH3< en < NO2-< CN-< CO→weak-field increasing(Δ) strong-field ligands ligands
Crystal field splitting: The energy gap between the splitting of d-orbitals of the metal ion in presence of ligands is known as the crystal field splitting (Δ). The magnitude of (Δ) is depends on the nature of metal ions and the ligands.
Splitting of five d-orbitals in an octahedral crystals field is as follows:
Figure 1
(c)

Explanation of Solution
Electron configuration of Co: [Ar]4s23d7
Charge on Co: water is a neutral ligand so Co has a +2 charge to make the overall complex charge equal to –4.
Electron configuration of Co2+: [Ar]3d7
Six ligands indicate an octahedral arrangement. Use Hund’s rule to fill the orbitals.
Water – is a weak-field ligand, so the splitting energy, Δ, is not large enough to overcome the resistance to electron pairing. The electrons remain unpaired, and the complex is called high-spin.
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Chapter 23 Solutions
CONNECT ACCESS CARD FOR CHEMISTRY: MOLECULAR NATURE OF MATTER AND CHANGE
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