# Construct a parity operator at a TRIM point?

I want to calculate the band parity at some TRIM (time-reversal invariant momentum) point in Brillouin zone. Parity was defined as the eigenvalue of the inversion operator. My question is how to construct the matrix representation of the parity operator to calculate the band parity at a TRIM point given a crystal and the tight binding matrix?

• +1. I tried to edit this to make it more clear, but if you feel any part would be better left as it was before, then please feel free to change things back! Hopefully you get an answer soon! Jul 7 at 19:03