Programming the Nearly Free Electron Model Band Diagram for BCC and FC

In summary, the Nearly Free Electron Model is a simplified quantum mechanical model that describes the electronic structure of solids. In a BCC crystal, it explains the presence of two energy bands - the valence band and the conduction band - which result in good electrical conductivity. In an FCC crystal, it takes into account the additional potential from the lattice, resulting in the formation of three energy bands - the valence band, conduction band, and Fermi level - and contributing to both good electrical and thermal conductivity.
  • #1
lubin1
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Hello Physics Forums.

Our professor asked us to do a program on constructing the band diagram of BCC and FCC for nearly free electron approximation. what is the best algorithm i can use? i can program a bit, it's just the step-by-step method i am not sure of. thank you
 
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  • #2
The calculations are described here:
http://www.itp.phys.ethz.ch/education/fs13/sst/Lecture-Notes.pdf
 
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Related to Programming the Nearly Free Electron Model Band Diagram for BCC and FC

1. What is the Nearly Free Electron Model?

The Nearly Free Electron Model is a simplified quantum mechanical model used to describe the electronic structure of solids, specifically metals. It assumes that the electrons in a crystal lattice experience a periodic potential similar to that of a free electron, but with some additional potential due to the presence of the lattice.

2. What is the Band Structure of a BCC crystal?

In a BCC (Body-Centered Cubic) crystal, the band structure consists of two energy bands: the valence band and the conduction band. The valence band is completely filled with electrons and the conduction band is empty, with a small energy gap between them. This results in BCC metals being good conductors of electricity.

3. How does the Nearly Free Electron Model explain the Band Structure of a BCC crystal?

The Nearly Free Electron Model explains the band structure of a BCC crystal by assuming that the electrons in the lattice experience a periodic potential. This potential causes the energy levels to split, resulting in the formation of the valence and conduction bands. The electrons can move freely within these bands, allowing for good electrical conductivity.

4. What is the Band Structure of an FCC crystal?

In an FCC (Face-Centered Cubic) crystal, the band structure consists of three energy bands: the valence band, the conduction band, and a partially filled band known as the Fermi level. This results in FCC metals having both good electrical and thermal conductivity.

5. How does the Nearly Free Electron Model explain the Band Structure of an FCC crystal?

The Nearly Free Electron Model explains the band structure of an FCC crystal by taking into account the additional potential due to the presence of the lattice. This results in the formation of the valence band, conduction band, and Fermi level. The partially filled Fermi level allows for the movement of both electrons and holes, contributing to the high conductivity of FCC metals.

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