### Ligand-Field Stabilization Energies (LFSE) OverviewThis table presents the ligand-field-stabilization energies (LFSE) in cm⁻¹ for three pairs of metal complexes, denoted as \([ML_6]^{3+}\) and \([ML_6]^{2+}\). These complexes are considered to understand the differences in LFSE between reduced (\([ML_6]^{2+}\)) and oxidized (\([ML_6]^{3+}\)) states. Below is the tabulated data reflecting the given energies:| Complex | \(\Delta_0\) (cm⁻¹) ||---------------------|----------------------|| \([Co(H_2O)_6]^{3+}\) | 16,750 || \([Co(H_2O)_6]^{2+}\) | 8,400 || \([Mn(H_2O)_6]^{3+}\) | 15,800 || \([Mn(H_2O)_6]^{2+}\) | 7,850 || \([Fe(H_2O)_6]^{3+}\) | 14,000 || \([Fe(H_2O)_6]^{2+}\) | 9,350 |**Task:** Calculate the difference in LFSE for each pair, assuming \([ML_6]^{3+}\) complexes are low-spin and \([ML_6]^{2+}\) complexes are high-spin. The differences in LFSE should be arranged in increasing order of magnitude in cm⁻¹.### Possible Order of LFSE DifferencesHere are the given options for arranging the differences, in increasing magnitude:- **A:** \(5,500\) (Fe\(^{2+}\)/Fe\(^{3+}\)) < \(9,580\) (Mn\(^{2+}\)/Mn\(^{3+}\)) < \(25,080\) (Co\(^{2+}\)/Co\(^{3+}\))- **B:** \(560\) (Fe\(^{2+}\)/Fe\(^{3+}\)) < \(25,080\) (Co\(^{2+}\)/Co\(^{3+}\)) < \(25,280\) (Mn\(^{2+}\)/Mn\(^{

For octahedral complexes: For a high spin complex the energy gap between t2g and eg is less but for…

The ligand-field-stabilization-energies (LFSE) of three pairs of [ML«]³" and [ML«J* complexes are given in the following table. Calculate the difference in LFSE for each pair of reduced and oxidized complexes, that is, the differences in LFSE between [ML«J²" and [ML6]*", assuming [ML6]* complexes are low-spin complexes and [ML«J?* complexes are high-spin complexes. Arrange the differences in cm' in order of increase in magnitude. A, (cm') (Co(H;O)«}³* [Co(H;O)«J** [Mn(H;O)«]* [Mn(H;O)«]** 16,750 8,400 15,800 7,850 [Fe(H,O)«]** 14,000 [Fe(H;O),J** 9,350 A. 5,500 (Fe²"/Fe") < 9,580 (Mn²"/Mn³")< 25,080 (Co²"/Co³") B. 5,560 (Fe²"/Fe") < 25,080 (Co²"/Co³") < 25,280 (Mn²"/Mn³") C. -20 (Co²"/Co³") < -3,740 (Fe²"/Fe³") < 25,280 (Mn²"/Mn³") D. 24,260 (Fe²"/Fe³") < 25,280 (Mn²"/Mn³") < 33,480 (Co²"/Co") E. 9,480 (Mn²"/Mn'") < 24,260 (Fe²"/Fe³") < 33,480 (Co²"/Co³")

The ligand-field-stabilization-energies (LFSE) of three pairs of [ML«]³" and [ML«J* complexes are given in the following table. Calculate the difference in LFSE for each pair of reduced and oxidized complexes, that is, the differences in LFSE between [ML«J²" and [ML6]", assuming [ML6] complexes are low-spin complexes and [ML«J?* complexes are high-spin complexes. Arrange the differences in cm' in order of increase in magnitude. A, (cm') (Co(H;O)«}³* [Co(H;O)«J** [Mn(H;O)«]* [Mn(H;O)«] 16,750 8,400 15,800 7,850 [Fe(H,O)«] 14,000 [Fe(H;O),J** 9,350 A. 5,500 (Fe²"/Fe") < 9,580 (Mn²"/Mn³")< 25,080 (Co²"/Co³") B. 5,560 (Fe²"/Fe") < 25,080 (Co²"/Co³") < 25,280 (Mn²"/Mn³") C. -20 (Co²"/Co³") < -3,740 (Fe²"/Fe³") < 25,280 (Mn²"/Mn³") D. 24,260 (Fe²"/Fe³") < 25,280 (Mn²"/Mn³") < 33,480 (Co²"/Co") E. 9,480 (Mn²"/Mn'") < 24,260 (Fe²"/Fe³") < 33,480 (Co²"/Co³")

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

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Question

### Ligand-Field Stabilization Energies (LFSE) Overview

This table presents the ligand-field-stabilization energies (LFSE) in cm⁻¹ for three pairs of metal complexes, denoted as \([ML_6]^{3+}\) and \([ML_6]^{2+}\). These complexes are considered to understand the differences in LFSE between reduced (\([ML_6]^{2+}\)) and oxidized (\([ML_6]^{3+}\)) states. Below is the tabulated data reflecting the given energies:

| Complex | \(\Delta_0\) (cm⁻¹) |
|---------------------|----------------------|
| \([Co(H_2O)_6]^{3+}\) | 16,750 |
| \([Co(H_2O)_6]^{2+}\) | 8,400 |
| \([Mn(H_2O)_6]^{3+}\) | 15,800 |
| \([Mn(H_2O)_6]^{2+}\) | 7,850 |
| \([Fe(H_2O)_6]^{3+}\) | 14,000 |
| \([Fe(H_2O)_6]^{2+}\) | 9,350 |

**Task:** Calculate the difference in LFSE for each pair, assuming \([ML_6]^{3+}\) complexes are low-spin and \([ML_6]^{2+}\) complexes are high-spin. The differences in LFSE should be arranged in increasing order of magnitude in cm⁻¹.

### Possible Order of LFSE Differences

Here are the given options for arranging the differences, in increasing magnitude:

- **A:** \(5,500\) (Fe\(^{2+}\)/Fe\(^{3+}\)) < \(9,580\) (Mn\(^{2+}\)/Mn\(^{3+}\)) < \(25,080\) (Co\(^{2+}\)/Co\(^{3+}\))
- **B:** \(560\) (Fe\(^{2+}\)/Fe\(^{3+}\)) < \(25,080\) (Co\(^{2+}\)/Co\(^{3+}\)) < \(25,280\) (Mn\(^{2+}\)/Mn\(^{

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