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Topic: What is the theoretical colour of a carrot?  (Read 1569 times)

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Offline joyb

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What is the theoretical colour of a carrot?
« on: November 05, 2012, 11:57:22 AM »
"The pigment in a carrot is carotene which is a chromophore consisting of 11 conjugated double bonds. Assume the electrons are free to move along the whole chain (effectively a 1-D box) and calculate the energy of the first transition. The average C-C=C repeating unit length is 0.144nm and there will be 2 electrons
present from each unit."

I've been trying to do this using the equations  E=n²h²/8mL² and E=hc/λ, taking excited n as 2,  initial n as 1, m as 9.11x10-31 and L as 0.144x11x10-9, but I can't seem to get a wavelength in the visible spectrum. What am I doing wrong?

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