### Problem:

**(a) An F-center can be modelled as an electron trapped in a cubic three-dimensional infinite square well. Calculate the wavelength of the electromagnetic radiation emitted when an electron makes a transition from the third energy level, E _{3} , to the lowest energy level, E_{1} , in such a well. Take the sides of the cubic box to be of length L = 3.2 × 10^{-10} m and the electron mass to be m_{e} = 9.11 × 10 ^{-31} kg.**

**(b) Specify the degrees of degeneracy of the E _{1} and E_{3} energy levels, explaining your reasoning. (You may ignore any effects due to the spin of the electron).**

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