The reciprocal lattice is generated by
(1)
Its points are spaced by along both reciprocal axes. Perpendicular bisectors between the origin and its four nearest reciprocal neighbours enclose the first Brillouin zone,
(2)
The original drawing labels both the reciprocal-lattice spacing and the nearer zone boundaries. Its shaded disk is the occupied region for one electron per real-space cell.
Figure 1.
Original square reciprocal lattice, first Brillouin zone and half-filled spin-degenerate Fermi disk
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