能带结构 (Chinese Wikipedia)

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High-energy bands are important for electron diffraction physics, where the electrons can be injected into a material at high energies, see Stern, R.; Perry, J.; Boudreaux, D. Low-Energy Electron-Diffraction Dispersion Surfaces and Band Structure in Three-Dimensional Mixed Laue and Bragg Reflections. Reviews of Modern Physics. 1969, 41 (2): 275. Bibcode:1969RvMP...41..275S. doi:10.1103/RevModPhys.41.275. .

High-energy bands are important for electron diffraction physics, where the electrons can be injected into a material at high energies, see Stern, R.; Perry, J.; Boudreaux, D. Low-Energy Electron-Diffraction Dispersion Surfaces and Band Structure in Three-Dimensional Mixed Laue and Bragg Reflections. Reviews of Modern Physics. 1969, 41 (2): 275. Bibcode:1969RvMP...41..275S. doi:10.1103/RevModPhys.41.275. .
Hohenberg, P; Kohn, W. Inhomogeneous Electron Gas. Phys. Rev. Nov 1964, 136 (3B): B864–B871. Bibcode:1964PhRv..136..864H. doi:10.1103/PhysRev.136.B864.
Paier, J.; Marsman, M.; Hummer, K.; Kresse, G.; Gerber, IC.; Angyán, JG. Screened hybrid density functionals applied to solids.. J Chem Phys. Apr 2006, 124 (15): 154709. Bibcode:2006JChPh.124o4709P. PMID 16674253. doi:10.1063/1.2187006.

High-energy bands are important for electron diffraction physics, where the electrons can be injected into a material at high energies, see Stern, R.; Perry, J.; Boudreaux, D. Low-Energy Electron-Diffraction Dispersion Surfaces and Band Structure in Three-Dimensional Mixed Laue and Bragg Reflections. Reviews of Modern Physics. 1969, 41 (2): 275. Bibcode:1969RvMP...41..275S. doi:10.1103/RevModPhys.41.275. .
Hohenberg, P; Kohn, W. Inhomogeneous Electron Gas. Phys. Rev. Nov 1964, 136 (3B): B864–B871. Bibcode:1964PhRv..136..864H. doi:10.1103/PhysRev.136.B864.
Paier, J.; Marsman, M.; Hummer, K.; Kresse, G.; Gerber, IC.; Angyán, JG. Screened hybrid density functionals applied to solids.. J Chem Phys. Apr 2006, 124 (15): 154709. Bibcode:2006JChPh.124o4709P. PMID 16674253. doi:10.1063/1.2187006.

Paier, J.; Marsman, M.; Hummer, K.; Kresse, G.; Gerber, IC.; Angyán, JG. Screened hybrid density functionals applied to solids.. J Chem Phys. Apr 2006, 124 (15): 154709. Bibcode:2006JChPh.124o4709P. PMID 16674253. doi:10.1063/1.2187006.

In copper, for example, the effective mass is a tensor and also changes sign depending on the wave vector, as can be seen in the de Haas–van Alphen effect; see https://www.phys.ufl.edu/fermisurface/ （页面存档备份，存于互联网档案馆）