© Department of Physics, University of Guelph.

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1 (a) What is the maximum probability density
of an n = 3 electron in retinal? In the figure the oxygen atom adds one
p-electron to the p-system,
just as a carbon atom.

(b) At what position in the molecule does
this maximum occur?

(c) Near what location in the molecule does
an n = 3 electron spend the least amount of time?

(d) What is the probability of finding an
n = 3 electron in a region of length 0.0050 nm centred at the tenth carbon
atom?

(e) What is the wavelength of the electron
in (d)?

(f) Consider a chromophore having ten carbon
atoms in its conjugated p-system. What is the
probability of finding an n = 3 p-electron somewhere
between carbon 1 and carbon 7?