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- Independent_electron_approximation abstract "The independent electron approximation is used in both the free electron model and the nearly-free electron model. In this approximation we do not consider electron-electron interaction in a crystal. It is more difficult to treat electron-electron interactions than ion-electron interactions because: We are not aware of the wavefunctions of every electron. The potential due to electron-electron interactions is not periodic. We need to consider the dynamics of all of the electrons at once.Fortunately, electron-electron interactions are often weaker than ion-electron interactions due to the following: Electrons with parallel spins stay away from each other due to the Pauli exclusion principle. Electrons with opposite spins stay away from each other in order to have the least energy for the system.One major effect of electron-electron interactions is that electrons distribute around the ions so that they screen the ions in the lattice from other electrons. Electron-electron interactions may be very important for certain properties in materials. For example, the theory covering much of superconductivity is BCS theory, in which the attraction of pairs of electrons to each other, termed "Cooper pairs", is the mechanism behind superconductivity.".
- Independent_electron_approximation wikiPageID "16086895".
- Independent_electron_approximation wikiPageLength "1608".
- Independent_electron_approximation wikiPageOutDegree "9".
- Independent_electron_approximation wikiPageRevisionID "492148140".
- Independent_electron_approximation wikiPageWikiLink BCS_theory.
- Independent_electron_approximation wikiPageWikiLink Category:Electron.
- Independent_electron_approximation wikiPageWikiLink Cooper_pair.
- Independent_electron_approximation wikiPageWikiLink Free_electron_model.
- Independent_electron_approximation wikiPageWikiLink Nearly-free_electron_model.
- Independent_electron_approximation wikiPageWikiLink Nearly_free_electron_model.
- Independent_electron_approximation wikiPageWikiLink Pauli_exclusion_principle.
- Independent_electron_approximation wikiPageWikiLink Strongly_correlated_electrons.
- Independent_electron_approximation wikiPageWikiLink Strongly_correlated_material.
- Independent_electron_approximation wikiPageWikiLink Superconductivity.
- Independent_electron_approximation wikiPageWikiLink Wave_function.
- Independent_electron_approximation wikiPageWikiLink Wavefunction.
- Independent_electron_approximation wikiPageWikiLinkText "Independent electron approximation".
- Independent_electron_approximation wikiPageWikiLinkText "independent electron approximation".
- Independent_electron_approximation hasPhotoCollection Independent_electron_approximation.
- Independent_electron_approximation wikiPageUsesTemplate Template:Citation_needed.
- Independent_electron_approximation wikiPageUsesTemplate Template:Expert-subject.
- Independent_electron_approximation wikiPageUsesTemplate Template:Physics-stub.
- Independent_electron_approximation subject Category:Electron.
- Independent_electron_approximation type Article.
- Independent_electron_approximation type Article.
- Independent_electron_approximation type Physic.
- Independent_electron_approximation comment "The independent electron approximation is used in both the free electron model and the nearly-free electron model. In this approximation we do not consider electron-electron interaction in a crystal. It is more difficult to treat electron-electron interactions than ion-electron interactions because: We are not aware of the wavefunctions of every electron. The potential due to electron-electron interactions is not periodic.".
- Independent_electron_approximation label "Independent electron approximation".
- Independent_electron_approximation sameAs m.03qnsfm.
- Independent_electron_approximation sameAs Q6017492.
- Independent_electron_approximation sameAs Q6017492.
- Independent_electron_approximation wasDerivedFrom Independent_electron_approximation?oldid=492148140.
- Independent_electron_approximation isPrimaryTopicOf Independent_electron_approximation.