One of order n can be obtained by finding the volume enclosed while crossing n minus one Bragg planes and the first one is the Wigner-Seitz cell of the reciprocal lattice.
Numerical integrals over this region can be done by using the equally spaced mesh scheme of Monkhorst and Pack or the tetrahedron method with Blöchl's correction. The irreducible wedge of this region is the minimal portion needed to describe the entire region. The curve on a crystal momentum versus energy plot can be folded back to this region in a reduced scheme. One of order n can be obtained by finding the volume enclosed while crossing n minus one Bragg planes and the first one is the Wigner-Seitz cell of the reciprocal lattice. For 10 points, identify these "zones" that are perpendicular bisectors of the reciprocal lattice vectors.
Numerical integrals over this region can be done by using the equally spaced mesh scheme of Monkhorst and Pack or the tetrahedron method with Blöchl's correction.
first Brillouin zone