Which one of the following high-spin complexes has the largest CFSE (C...
Cation with higher oxidation state has a larger value of CFSE and CFSE decrease with the increase of the number of d-electrons.
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Which one of the following high-spin complexes has the largest CFSE (C...
Answer:
To determine which complex has the largest Crystal Field Stabilization Energy (CFSE), we need to consider the number of unpaired electrons in each complex. CFSE is directly proportional to the number of unpaired electrons.
Let's analyze each complex:
[Mn(H2O)6]2:
- The oxidation state of Mn is +2.
- The electronic configuration of Mn2+ is 3d5.
- The d-orbitals of Mn2+ will be split by the crystal field created by the surrounding water ligands.
- In an octahedral crystal field, the t2g set (dxy, dyz, dzx) will be lower in energy, while the eg set (dx2-y2, dz2) will be higher in energy.
- There are 5 unpaired electrons in the t2g set, resulting in a high-spin complex.
[Cr(H2O)6]2:
- The oxidation state of Cr is +2.
- The electronic configuration of Cr2+ is 3d4.
- The d-orbitals of Cr2+ will be split by the crystal field created by the surrounding water ligands.
- In an octahedral crystal field, the t2g set (dxy, dyz, dzx) will be lower in energy, while the eg set (dx2-y2, dz2) will be higher in energy.
- There are 4 unpaired electrons in the t2g set, resulting in a high-spin complex.
[Mn(H2O)6]3:
- The oxidation state of Mn is +3.
- The electronic configuration of Mn3+ is 3d4.
- The d-orbitals of Mn3+ will be split by the crystal field created by the surrounding water ligands.
- In an octahedral crystal field, the t2g set (dxy, dyz, dzx) will be lower in energy, while the eg set (dx2-y2, dz2) will be higher in energy.
- There are 4 unpaired electrons in the t2g set, resulting in a high-spin complex.
[Cr(H2O)6]3:
- The oxidation state of Cr is +3.
- The electronic configuration of Cr3+ is 3d3.
- The d-orbitals of Cr3+ will be split by the crystal field created by the surrounding water ligands.
- In an octahedral crystal field, the t2g set (dxy, dyz, dzx) will be lower in energy, while the eg set (dx2-y2, dz2) will be higher in energy.
- There are 3 unpaired electrons in the t2g set, resulting in a high-spin complex.
Conclusion:
From the analysis, we can see that the complex [Cr(H2O)6]3 has the smallest number of unpaired electrons (3), resulting in the largest CFSE. Therefore, the correct answer is option 'D' [Cr(H2O)6]3.
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