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- Bloch_wave abstract "A Bloch wave (also called Bloch state or Bloch function or Bloch wave function), named after Swiss physicist Felix Bloch, is a type of wavefunction for a particle in a periodically-repeating environment, most commonly an electron in a crystal. A wavefunction ψ is a Bloch wave if it has the form:where r is position, ψ is the Bloch wave, u is a periodic function with the same periodicity as the crystal, k is a real number called the crystal wave vector, e is Euler's number, and i is the imaginary unit. In other words, if you multiply a plane wave by a periodic function, you get a Bloch wave.Bloch waves are important because of Bloch's theorem, which states that the energy eigenstates for an electron in a crystal can be written as Bloch waves. (More precisely, it states that the electron wavefunctions in a crystal have a basis consisting entirely of Bloch wave energy eigenstates.) This fact underlies the concept of electronic band structures.These Bloch wave energy eigenstates are written with subscripts as ψn k, where n is a discrete index, called the band index, which is present because there are many different Bloch waves with the same k (each has a different periodic component u). Within a band (i.e., for fixed n), ψn k varies continuously with k, as does its energy. Also, for any reciprocal lattice vector K, ψn k = ψn,(k+K). Therefore, all distinct Bloch waves occur for k-values within the first Brillouin zone of the reciprocal lattice.".
- Bloch_wave thumbnail BlochWave_in_Silicon.png?width=300.
- Bloch_wave wikiPageExternalLink r2_1_4.html.
- Bloch_wave wikiPageID "357657".
- Bloch_wave wikiPageRevisionID "598003172".
- Bloch_wave hasPhotoCollection Bloch_wave.
- Bloch_wave subject Category:Concepts_in_physics.
- Bloch_wave subject Category:Condensed_matter_physics.
- Bloch_wave subject Category:Mathematical_physics.
- Bloch_wave type Abstraction100002137.
- Bloch_wave type Cognition100023271.
- Bloch_wave type Concept105835747.
- Bloch_wave type Content105809192.
- Bloch_wave type FundamentalPhysicsConcepts.
- Bloch_wave type Idea105833840.
- Bloch_wave type PsychologicalFeature100023100.
- Bloch_wave comment "A Bloch wave (also called Bloch state or Bloch function or Bloch wave function), named after Swiss physicist Felix Bloch, is a type of wavefunction for a particle in a periodically-repeating environment, most commonly an electron in a crystal.".
- Bloch_wave label "Bloch wave".
- Bloch_wave label "Bloch-Funktion".
- Bloch_wave label "Funzioni di Bloch".
- Bloch_wave label "Onda de Bloch".
- Bloch_wave label "Onda de Bloch".
- Bloch_wave label "Onde de Bloch".
- Bloch_wave label "Twierdzenie Blocha".
- Bloch_wave label "Блоховская волна".
- Bloch_wave label "ブロッホの定理".
- Bloch_wave label "布洛赫波".
- Bloch_wave sameAs Bloch-Funktion.
- Bloch_wave sameAs Onda_de_Bloch.
- Bloch_wave sameAs Onde_de_Bloch.
- Bloch_wave sameAs Funzioni_di_Bloch.
- Bloch_wave sameAs ブロッホの定理.
- Bloch_wave sameAs 블로흐_파.
- Bloch_wave sameAs Twierdzenie_Blocha.
- Bloch_wave sameAs Onda_de_Bloch.
- Bloch_wave sameAs m.01_25c.
- Bloch_wave sameAs Q587704.
- Bloch_wave sameAs Q587704.
- Bloch_wave sameAs Bloch_wave.
- Bloch_wave wasDerivedFrom Bloch_wave?oldid=598003172.
- Bloch_wave depiction BlochWave_in_Silicon.png.
- Bloch_wave isPrimaryTopicOf Bloch_wave.
