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7. Use the hydrogen atom energy level approximation and consider electrons inside an LED. This system can be modelled to be a 3D box. One side of the box is L, and the other side of the box is 'a'. Here, $L > a$ a. The minimum size of L can be defined as follows: states will be continuous when the separation between states is "equal to the thermal energy (i.e., 1/2 kT). Assuming the electron states to be ~10000, determine the minimum size of L. b. Now, consider side 'a': If a photon of 3 eV is emitted when an electron transitions from the first excited state to the ground state, what would be 'a' of the well? Also, what is the colour of light that is emitted?

          7. Use the hydrogen atom energy level approximation and consider electrons inside an LED. This
system can be modelled to be a 3D box. One side of the box is L, and the other side of the box is
'a'. Here, $L > a$
a. The minimum size of L can be defined as follows: states will be continuous when the
separation between states is "equal to the thermal energy (i.e., 1/2 kT). Assuming the electron
states to be ~10000, determine the minimum size of L.
b. Now, consider side 'a': If a photon of 3 eV is emitted when an electron transitions from the
first excited state to the ground state, what would be 'a' of the well? Also, what is the colour of
light that is emitted?

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7. Use the hydrogen atom energy level approximation and consider electrons inside an LED. This
system can be modelled to be a 3D box. One side of the box is L, and the other side of the box is
'a'. Here, L > a
a. The minimum size of L can be defined as follows: states will be continuous when the
separation between states is "equal to the thermal energy (i.e., 1/2 kT). Assuming the electron
states to be 10000, determine the minimum size of L.
b. Now, consider side 'a': If a photon of 3 eV is emitted when an electron transitions from the
first excited state to the ground state, what would be 'a' of the well? Also, what is the colour of
light that is emitted?

Added by Eric R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Timothy James

09/24/2022

Step 1

Step 1: Determine the minimum size of L Given that the separation between states is equal to 1/2 kT, and assuming the electron states to be ~10000, we can use the formula for the energy levels of a 3D box: En = (h^2 / 8m) * (n_x^2 / L^2 + n_y^2 / L^2 + n_z^2 / Show more…

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Use the hydrogen atom energy level approximation and consider electrons inside an LED. This system can be modeled to be a 3D box. One side of the box is L, and the other side of the box is 'a'. Here, L > a. a. The minimum size of L can be defined as follows: states will be continuous when the separation between states is equal to the thermal energy (i.e., 1/2 kT). Assuming the electron states to be ~10000, determine the minimum size of L. b. Now, consider side 'a': If a photon of 3 eV is emitted when an electron transitions from the first excited state to the ground state, what would be 'a' of the well? Also, what is the color of light that is emitted? Credits: Dr. Mark Paetkau. EPHY 2200. Fall 2020

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