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Most complexes are brightly colored. Crystal field theory can be used to figure out the electron arrangement in a complex, which determines the color of the complex. (The spectrochemical series shows which ligands tend to create the largest values of D.)

The energy difference D in many complexes is about equal to the energy of a photon of visible light. When a complex is struck by a photon of the correct energy, it is absorbed and the electron jumps from the lower energy d orbitals to the higher ones. Since the complex absorbs light of that frequency and reflects the rest, we see the complementary color of light. To get the complement of a color, look at the color wheel below. Find the color that is absorbed, then move directly across the wheel to the other side to get the complement.

Color wheel

For example, the complex [Co(NH3]6]+3 absorbs light with a wavelength of 437 nm. This is in the blue-violet region of the spectrum. If we look directly across the color wheel from blue-violet, we see yellow: this complex appears yellow.

The magnitude of the splitting energy D can be gotten from the color of light absorbed. Remember that the energy of a photon of light is E = hc/l, where h is Planck's constant, c is the speed of light and l is the wavelength of light.

Example: The complex [Co(NH3]6]+3 absorbs light with a wavelength of 437 nm. What is the splitting energy D?

Solution: The complex absorbs light at this frequency, so D must be equal to this energy. We know that E = hc/l. h = 6.626*10-34 J*s and c = 3.00*108 m/s. The light wavelength is 437 nm, or 4.37*10-7 m. Thus, the energy of the light is

E = hc/l
E = (6.626*10-34 J*s * 3.00*108 m/s) /4.37*10-7 m
E = 4.55*10-19 J
This is equal to 4.55*10-19 J/atom* 6.022*1023 atoms/mole = 274 kJ/mole.


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