© 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 carbo n 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?