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a) For the given parameters, explicitly construct and a(x) and b(x) for the Kronig- Penney model. Plot * over 2 periods of the potential.

a) For the given parameters, explicitly construct and Ψa(x) and Ψb(x) for the Kronig- Penney model. Plot Ψ*Ψ over 2 periods of the potential.
(a+b) = 5 Å (corresponds to atomic spacing) a=1Å
b=4Å
U0 = 2.4 eV
Second lowest energy band k = π/(2(a+b))
b)Show that the wavefunction is the same if k = 5π/(2(a+b)) (this would be in the second Brillouin zone)
c) What is the energy of this state? Is E>U0 or is E<U0?
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