Consider a three-dimensional infinite well modeled as a cube of side L. The width L of the cube is such that the ground state energy of one electron confined to this box is En. (a) Calculate the four lowest energy states and evaluate their corresponding degeneracy. (b) If a total of 9 non-interacting electrons are placed in the box, find the Fermi energy of the system. (c) What is the total energy of the 9-electron system?
Consider a three-dimensional infinite well modeled as a cube of side L. The width L of the cube is such that the ground state energy of one electron confined to this box is En. (a) Calculate the four lowest energy states and evaluate their corresponding degeneracy. (b) If a total of 9 non-interacting electrons are placed in the box, find the Fermi energy of the system. (c) What is the total energy of the 9-electron system?
Related questions
Question
100%
Q3.1 Please answer the following question throughly and detailed. Need to understand the concept.
Transcribed Image Text:Consider a three-dimensional infinite well modeled as a cube of side L. The width L of the cube is such that
the ground state energy of one electron confined to this box is En.
(a) Calculate the four lowest energy states and evaluate their corresponding degeneracy.
(b) If a total of 9 non-interacting electrons are placed in the box, find the Fermi energy of the system.
(c) What is the total energy of the 9-electron system?
(d) Find the lowest transition energy required to excite an electron in this system and place it in an
unoccupied energy level?
Expert Solution
Step 1
Given:
The width of the cube is L
The ground state energy of the electron is E0
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 7 images
