Constant energy surface
Encyclopedia
In a Brillouin zone
, the constant-energy surface represents the loci
of all the
-points (that is, all the crystal momentum values) that have the same energy. Fermi surface
is a special constant-energy surface that separates the unfilled orbitals from the filled ones at zero kelvin.
Brillouin zone
In mathematics and solid state physics, the first Brillouin zone is a uniquely defined primitive cell in reciprocal space. The boundaries of this cell are given by planes related to points on the reciprocal lattice. It is found by the same method as for the Wigner–Seitz cell in the Bravais lattice...
, the constant-energy surface represents the loci
Locus (mathematics)
In geometry, a locus is a collection of points which share a property. For example a circle may be defined as the locus of points in a plane at a fixed distance from a given point....
of all the
-points (that is, all the crystal momentum values) that have the same energy. Fermi surfaceFermi surface
In condensed matter physics, the Fermi surface is an abstract boundary useful for predicting the thermal, electrical, magnetic, and optical properties of metals, semimetals, and doped semiconductors. The shape of the Fermi surface is derived from the periodicity and symmetry of the crystalline...
is a special constant-energy surface that separates the unfilled orbitals from the filled ones at zero kelvin.