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The crystal field splitting energy for octahedral complex (∆0) and that for tetrahedral complex (∆t) are related as:
- a)∆t = 4/9 ∆0
- b)∆t = 0.5 ∆0
- c)∆t = 0.33 ∆0
- d)∆t = 9/4 ∆0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The crystal field splitting energy for octahedral complex (0) and that...
This may attributes to the following two reasons.
(I) There are only four ligands instead of six, so the ligand field is only two thirds the size ; as the ligand field splitting is also the two thirds the size and
(II) the direction of the orbitals does not concide with the direction of the ligands. This reduces the crystal field splitting by roughly further two third. So Dt = 2/3 ×2/3 = 4/9D0.
(I) There are only four ligands instead of six, so the ligand field is only two thirds the size ; as the ligand field splitting is also the two thirds the size and
(II) the direction of the orbitals does not concide with the direction of the ligands. This reduces the crystal field splitting by roughly further two third. So Dt = 2/3 ×2/3 = 4/9D0.
Most Upvoted Answer
The crystal field splitting energy for octahedral complex (0) and that...
Explanation:
Crystal Field Splitting Energy:
- In an octahedral complex, the crystal field splitting energy (Δ₀) is the energy required to pair up the electrons in the t₂g orbitals and leave the eg orbitals empty.
- In a tetrahedral complex, the crystal field splitting energy (Δt) is the energy required to pair up the electrons in the lower set of orbitals.
Relationship between Δ₀ and Δt:
- The relationship between the crystal field splitting energy for octahedral complex (Δ₀) and that for tetrahedral complex (Δt) is given by the equation: Δt = 4/9 * Δ₀.
- This relationship can be derived from the fact that in an octahedral complex, the energy difference between the t₂g and eg orbitals is 4/9 times the energy difference between the lower and higher energy orbitals in a tetrahedral complex.
Calculation:
- Given that Δt = 4/9 * Δ₀, we can rearrange the equation to get Δ₀ = 9/4 * Δt.
- Therefore, the correct relationship between the crystal field splitting energies for octahedral and tetrahedral complexes is t = 4/9 * 0 = 0.5.
Therefore, the correct answer is option 'A': t = 4/9 * 0.
Crystal Field Splitting Energy:
- In an octahedral complex, the crystal field splitting energy (Δ₀) is the energy required to pair up the electrons in the t₂g orbitals and leave the eg orbitals empty.
- In a tetrahedral complex, the crystal field splitting energy (Δt) is the energy required to pair up the electrons in the lower set of orbitals.
Relationship between Δ₀ and Δt:
- The relationship between the crystal field splitting energy for octahedral complex (Δ₀) and that for tetrahedral complex (Δt) is given by the equation: Δt = 4/9 * Δ₀.
- This relationship can be derived from the fact that in an octahedral complex, the energy difference between the t₂g and eg orbitals is 4/9 times the energy difference between the lower and higher energy orbitals in a tetrahedral complex.
Calculation:
- Given that Δt = 4/9 * Δ₀, we can rearrange the equation to get Δ₀ = 9/4 * Δt.
- Therefore, the correct relationship between the crystal field splitting energies for octahedral and tetrahedral complexes is t = 4/9 * 0 = 0.5.
Therefore, the correct answer is option 'A': t = 4/9 * 0.
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The crystal field splitting energy for octahedral complex (0) and that for tetrahedral complex (t) are related as:a)t= 4/90b)t= 0.5 0c)t= 0.33 0d)t= 9/4 0Correct answer is option 'A'. Can you explain this answer?
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