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- Umklapp_scattering abstract "Umklapp scattering (also U-process or Umklapp process) is the transformation, like a reflection or a translation, of a wave vector to another Brillouin zone as a result of a scattering process, for example an electron-lattice potential scattering or an anharmonic phonon-phonon (or electron-phonon) scattering process, reflecting an electronic state or creating a phonon with a momentum k-vector outside the first Brillouin zone. Umklapp scattering is one process limiting the thermal conductivity in crystalline materials, the others being phonon scattering on crystal defects and at the surface of the sample.Figure 1 schematically shows the possible scattering processes of two incoming phonons with wave-vectors (k-vectors) k1 and k2 (red) creating one outgoing phonon with a wave vector k3 (blue). As long as the sum of k1 and k2 stay inside the first Brillouin zone (gray squares) k3 is the sum of the former two conserving phonon momentum. This process is called normal scattering (N-process).With increasing phonon momentum and thus wave vector of k1 and k2 their sum might point outside the Brillouin zone (k'3). As shown in Figure 2, k-vectors outside the first Brillouin zone are physically equivalent to vectors inside it and can be mathematically transformed into each other by the addition of a reciprocal lattice vector G. These processes are called Umklapp scattering and change the total phonon momentum.Umklapp scattering is the dominant process for thermal resistivity at high temperatures for low defect crystals. The thermal conductivity for an insulating crystal where the U-processes are dominant has 1/T dependence.The name derives from the German word umklappen (to turn over). Rudolf Peierls, in his autobiography Bird of Passage states he was the originator of this phrase and coined it during his 1929 crystal lattice studies under the tutelage of Wolfgang Pauli. Peierls wrote, \"...I used the German term Umklapp (flip-over) and this rather ugly word has remained in use....\"".
- Umklapp_scattering thumbnail Phonon_nu_process.png?width=300.
- Umklapp_scattering wikiPageID "2212817".
- Umklapp_scattering wikiPageLength "3017".
- Umklapp_scattering wikiPageOutDegree "13".
- Umklapp_scattering wikiPageRevisionID "588711764".
- Umklapp_scattering wikiPageWikiLink Braggs_law.
- Umklapp_scattering wikiPageWikiLink Brillouin_zone.
- Umklapp_scattering wikiPageWikiLink Category:Scattering.
- Umklapp_scattering wikiPageWikiLink Electron.
- Umklapp_scattering wikiPageWikiLink Free_electron_model.
- Umklapp_scattering wikiPageWikiLink Phonon.
- Umklapp_scattering wikiPageWikiLink Rudolf_Peierls.
- Umklapp_scattering wikiPageWikiLink Scattering.
- Umklapp_scattering wikiPageWikiLink Thermal_resistance.
- Umklapp_scattering wikiPageWikiLink Wolfgang_Pauli.
- Umklapp_scattering wikiPageWikiLink File:Phonon_k_3k.gif.
- Umklapp_scattering wikiPageWikiLink File:Phonon_nu_process.png.
- Umklapp_scattering wikiPageWikiLinkText "Umklapp phonon-phonon scattering".
- Umklapp_scattering wikiPageWikiLinkText "Umklapp scattering".
- Umklapp_scattering wikiPageWikiLinkText "umklapp scattering".
- Umklapp_scattering wikiPageUsesTemplate Template:Reflist.
- Umklapp_scattering subject Category:Scattering.
- Umklapp_scattering hypernym Transformation.
- Umklapp_scattering type ProgrammingLanguage.
- Umklapp_scattering type Physic.
- Umklapp_scattering comment "Umklapp scattering (also U-process or Umklapp process) is the transformation, like a reflection or a translation, of a wave vector to another Brillouin zone as a result of a scattering process, for example an electron-lattice potential scattering or an anharmonic phonon-phonon (or electron-phonon) scattering process, reflecting an electronic state or creating a phonon with a momentum k-vector outside the first Brillouin zone.".
- Umklapp_scattering label "Umklapp scattering".
- Umklapp_scattering sameAs Q739077.
- Umklapp_scattering sameAs Umklappprozess.
- Umklapp_scattering sameAs Umklapp.
- Umklapp_scattering sameAs Scattering_Umklapp.
- Umklapp_scattering sameAs Serakan_Umklapp.
- Umklapp_scattering sameAs m.06wbyy.
- Umklapp_scattering sameAs Процессы_переброса.
- Umklapp_scattering sameAs Процеси_перекиду.
- Umklapp_scattering sameAs Q739077.
- Umklapp_scattering wasDerivedFrom Umklapp_scattering?oldid=588711764.
- Umklapp_scattering depiction Phonon_nu_process.png.
- Umklapp_scattering isPrimaryTopicOf Umklapp_scattering.