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The allowed electron energies as functions of crystal momentum in a periodic or approximately periodic solid. Band calculations depend on the Hamiltonian and approximation and need not capture strong correlation without additional treatment.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
condensed_nearly_free_to_band_structure
Relation type
State / property description state-description
Direction
source → target
Endpoint roles
source: Has state / property description; target: State / property description of
Authored annotation
weak-potential bands
Authored explanation
The nearly-free approximation produces bands close to the free-electron parabola, with gaps opened where reciprocal-lattice scattering mixes degenerate plane waves.
How to interpret this relation type
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
condensed_periodic_model_to_band_structure
Relation type
State / property description state-description
Direction
source → target
Endpoint roles
source: Has state / property description; target: State / property description of
Authored annotation
energy bands over crystal momentum
Authored explanation
Solving the periodic Hamiltonian in each crystal-momentum sector yields energy bands; the result belongs to the selected one-particle or mean-field model.
How to interpret this relation type
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
condensed_semiconductor_to_band_structure
Relation type
State / property description state-description
Direction
source → target
Endpoint roles
source: Has state / property description; target: State / property description of
Authored annotation
thermally and chemically accessible gap
Authored explanation
A semiconductor has a band gap while temperature, doping, illumination, or electrostatic control can populate mobile conduction-band electrons or valence-band holes.
How to interpret this relation type
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
Relation sources
Wikipedia — Semiconductor — Semiconductor · encyclopedic reference · source ID wp-physics-semiconductor
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
condensed_tight_binding_to_band_structure
Relation type
State / property description state-description
Direction
source → target
Endpoint roles
source: Has state / property description; target: State / property description of
Authored annotation
hopping-model bands
Authored explanation
Diagonalizing the Bloch Hamiltonian of a tight-binding model yields its band structure; it describes only the orbitals and interactions retained in that model.
How to interpret this relation type
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
Relation sources
Wikipedia — Tight binding — Tight binding · encyclopedic reference · source ID wp-physics-tight-binding