A row of cells and spacing carries an electron state in the third band
PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Crystal structure, bonding and diffraction · Free electrons, energy bands and electronic structure
Condensed Matter Physics, Ch Electrons in a periodic potential: Bloch's theorem and the opening of a gap
Problem
A row of N cells and spacing a carries an electron state in the third band, at k=5π/(2a) in the extended zone scheme. Which reciprocal lattice vector must be subtracted to bring this state into the first Brillouin zone, −π/a to π/a, and what is its wavevector there, in the reduced zone scheme?