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Unformatted text preview: the third state? ( ) 6. Blue lobster 12 points
The pigmentation of lobsters is due to astaxanthin, a linear polyene molecule with 11 pairs of delocalized
pi electrons. In a rare blue-colored lobster, astaxanthin is bound to the protein crustacyanin and has an
absorption maximum at 632 nm. If the pi system in astaxanthin is modeled as a one-dimensional box
containing the pi electrons, what is its box length? In one go:
(( ) ) ( ) (
√ Multiple steps: ( ) √ ) 7. Ripples in the box (challenging) 13 points
Consider a 1D box where the potential within the box is not completely flat, but slightly rippled,
described by ( )
) where M is 1, 2, 3, … This potential can be taken into account by
adding it to the Hamiltonian:
( ) where ̂ is the 1D box Hamiltonian...
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- Fall '09