Mapping High Symmetry Points from Primitive to Conventional Cell

[Alpha Roy]

TL;DR Summary

How to map high symmetry points from primitive cell to conventional cell ?

We usually plot electronic bands with the help of high symmetry points of the irreducible zone of primitive cell of particular material. But if we want to plot bands with conventional cell, we have to map the high symmetry points from primitive cell to conventional cell.

so how can we map the high symmetry points from primitive cell to conventional cell ?? basically how can we transform the points ?

 

[BigJDubs]

The mapping from primitive cell to conventional cell can be done by using the full-symmetry group operations. These operations are the rotations, reflections, inversions, and translations. The primitive cell vectors are transformed into the conventional cell vectors using the same symmetry operations. Then, the high symmetry points of the primitive cell are mapped onto the high symmetry points of the conventional cell. This mapping can be visualized by drawing the lattice vectors of both cells and connecting the corresponding high symmetry points.