(a) A quantum dot 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 lowest energy level, E3, to the lowest energy level, E₁, in such a well. Take the sides of the cubic box to be of length L=3.2 x 10-8 m and the electron mass to be me = 9.11 x 10-³1 kg. (b) Specify the degree of degeneracy for each of the E₁ and E3 energy levels, explaining your reasoning.

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(a) A quantum dot 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 lowest energy level, E3, to the lowest energy level, E₁, in
such a well. Take the sides of the cubic box to be of length
L = 3.2 x 10-8 m and the electron mass to be me = 9.11 x 10-³¹ kg.
for each of the E₁ and E3 energy
(b) Specify the degree of degeneracy
levels, explaining your reasoning.
Transcribed Image Text:(a) A quantum dot 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 lowest energy level, E3, to the lowest energy level, E₁, in such a well. Take the sides of the cubic box to be of length L = 3.2 x 10-8 m and the electron mass to be me = 9.11 x 10-³¹ kg. for each of the E₁ and E3 energy (b) Specify the degree of degeneracy levels, explaining your reasoning.
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