← Back to index

1st Brillouin Zone of A Face Centered Cubic and A Body Centered Cubic

Original notebook: bcc_fcc.ipynb

In this notebook, we demonstrates the three-dimensional structure of the 1st Brillouin zone for a face centered cubic (FCC) and a body centered cubic (BCC).

Goals

• Understand the lattice structure.
• Know the relation between real space and reciprocal space.
• Know the definition of the Brillouin zone.
• Know how to construct the 1st Brillouin zone.

Background theory

More on the background theory.

Tasks and exercises

1. Investigate the role of the cutoff radius

   Solution

   Move the slide for $R_c$ and press the button “Compute pseudopotential” to obtain the results. Check if there are values for which no solutions can be found. Inspect how different the pseudopotential is from the Coulomb potential.

Interactive visualization

(be patient, it might take a few seconds to load)

Legend

(How to use the interactive visualization)