Question 25.8: Crystal Field Splitting Energy The complex ion [Cu(NH3)6]^2+...
Crystal Field Splitting Energy
The complex ion [Cu(NH_3)_6]^{2+} is blue in aqueous solution. Estimate the crystal field splitting energy (in kJ/mol) for this ion.
| Begin by consulting the color wheel to determine approximately which wavelength is being absorbed. | Because the solution is blue, you can deduce that orange light is absorbed since orange is the complementary color to blue. |
| Estimate the absorbed wavelength. | The color orange ranges from 580 to 650 nm, so you can estimate the average wavelength as 615 nm. |
| Calculate the energy corresponding to this wavelength, using E = hc/λ. This energy corresponds to Δ. | E=\frac{(6.626 \times 10 ^{- 34} J \cdot \cancel{s})(3.00 \times 10^8 \cancel{m}/ \cancel{s})}{(615 \cancel{nm})(1 \times 10 ^{- 9} \cancel{m}/\cancel{nm})}
E = 3.23 \times 10^{-19} J = Δ |
| Convert J/ion into kJ/mol. | E=\frac{(3.23 \times 10 ^{- 19} \cancel{J}/ \cancel{ion})(6.02 \times 10^{23} \cancel{ion}/mol)}{(1000 \cancel{J}/kJ)}
Δ = 195 kJ/mol |
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