Determining Ground State Configuration in 2D Square Well with Aufbau Process

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SUMMARY

The discussion focuses on determining the ground state electronic configuration for a 2D square well containing 4 electrons using the Aufbau process. The system exhibits two degenerate states, specifically (nx=1, ny=2) or (nx=2, ny=1), leading to a multiplicity of 2. The ground state configuration accommodates two electrons, while the next energy level can hold four electrons. The system's energy and its classification as diamagnetic or paramagnetic remain unresolved in the discussion.

PREREQUISITES
  • Understanding of the Aufbau principle in quantum mechanics
  • Familiarity with the particle in a box model
  • Knowledge of electronic configurations and degeneracy
  • Basic concepts of diamagnetism and paramagnetism
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  • Research the implications of degeneracy in quantum systems
  • Learn about the energy levels in a 2D square well
  • Explore the differences between diamagnetic and paramagnetic materials
  • Study the application of the Aufbau principle in multi-electron systems
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Students and educators in quantum mechanics, particularly those studying electronic configurations in multi-electron systems, as well as researchers interested in the properties of 2D quantum wells.

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Homework Statement


use the Aufbau process to determine the ground state electronic configuration for the 2D sqare well if it contains 4 electrons. what is the multiplicity of the ground state electronic configuration? what is the energy of this 2 D 4 electrons system? and is the system diamagnetic or paramagnetic?

Homework Equations



the questions posted above are the second part of the questions, in the first part, the answer tells me that it is a 2D box with 2 degeneracy states nx=1, ny=2 or nx=2, ny=1.

The Attempt at a Solution


2 denerate state means multiplicity of 2? i have no idea of the other questions tho, how do you draw electronic configuration from particle in a box model? plus i thought particle in a box model only predicts pi bonds because they are delocalised? so should the ground state configuration exclude s orbitals and starts with p?
 
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