A d^1 octahedral complex is found to absorb visible light, with the absorption m

Question

A d^1 octahedral complex is found to absorb visible light, with the absorption maximum occcurring at 497 nm. a) Calculate the crystal-field splitting energy, Delta, in kJ/mol. If the complex has a formula of [M(H_2O)_6]^3+, what effect would replacing the 6 aqua ligands with 6 CN^- ligands have on: b) Delta? A will decrease A will remain constant A will increase c) the color the complex absorbs? there is no effect on color color shifts toward a shorter wavelength color shifts toward a longer wavelength

Explanation / Answer

a)

E = (h X c) / lambda

where h = plancks constant = 6.626 X 10-34 j s
c = velocity of light = 3 X 108 m/s
lambda = wavelength = 497 nm = 497 X 10-9 m

thus

E = ( 6.626 X 10-34 X 3 X 108) / 497 X 10-9

E = 1.988 X 10-25 / 497 X 10-9

E = 4.0 X 10-19 j

so energy is 4.0 X 10-19 j

b)

D will increase

c)   colour shifts towards longer wave length

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