[Slides] Quantum Mechanics: Periodic Potentials and Kronig-Penney ModelThe Kronig-Penney model is a simple approximation of a solid. The potential consists of a periodic arrangement of delta functions, square well or Coulomb well potentials. By means of epitaxial growth techniques artificial semiconductor superlattices can be realized, which behave very similar to the assumptions of the Kronig-Penny model. To get better understanding of the Kroinig-Penney model, we provide written text, slides, homework assignments and access to the Periodic Potential Lab and the ...
http://nanohub.org/resources/4962
Sat, 20 Dec 2014 15:24:20 +0000HUBzero - The open source platform for scientific and educational collaborationThe Kronig-Penney model is a simple approximation of a solid. The potential consists of a periodic arrangement of delta functions, square well or Coulomb well potentials. By means of epitaxial growth techniques artificial semiconductor superlattices can be realized, which behave very similar to the assumptions of the Kronig-Penny model. To get better understanding of the Kroinig-Penney model, we provide written text, slides, homework assignments and access to the Periodic Potential Lab and the ...nanoHUB.orgsupport@nanohub.orgnoAQME, nanoelectronics, periodic potentialsDragica Vasileskaen-gbCopyright 2014 nanoHUB.orgResourcesSlides: Kronig-Penney Model Explained
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www.eas.asu.edu/~vasileskNSFwww.eas.asu.edu/~vasileskNSFnoAQME, Kroenig-Penney, kronig-penney, nanoelectronics, periodic potentialsDragica Vasileska, Gerhard KlimeckDragica Vasileska, Gerhard KlimeckTeaching MaterialsWed, 09 Jul 2008 16:26:08 +0000/http://nanohub.org/site/resources/2008/07/04960/kronig_penney_1.pdfPeriodic Potentials and the Kronig-Penney Model
http://nanohub.org/resources/4847
This material describes the derivation of the Kronig-Penney model for delta-function periodic potentials.This material describes the derivation of the Kronig-Penney model for delta-function periodic potentials.noABACUS, AQME, band structure, Kroenig-Penney, kronig-penney, nanoelectronics, periodic potentialsDragica VasileskaDragica VasileskaTeaching MaterialsWed, 02 Jul 2008 20:31:13 +0000/http://nanohub.org/site/resources/2008/07/04848/periodicpotentials.pdfPeriodic Potentials and Bandstructure: an Exercise
http://nanohub.org/resources/4851
This exercise teaches the students that in the case of strong coupling between the neighboring wells in square and Coulomb periodic potential wells electrons start to behave as free electrons and the gaps that open at the Brillouin zone boundaries become smaller and smaller (thus recovering the free particles dispersion relation).NSFNSFThis exercise teaches the students that in the case of strong coupling between the neighboring wells in square and Coulomb periodic potential wells electrons start to behave as free electrons and the gaps that open at the Brillouin zone boundaries become smaller and smaller (thus recovering the free particles dispersion relation).NSFNSFnoABACUS, AQME, band structure, nanoelectronics, periodic potentialsDragica Vasileska, Gerhard KlimeckDragica Vasileska, Gerhard KlimeckTeaching MaterialsWed, 02 Jul 2008 20:30:42 +0000/http://nanohub.org/site/resources/2008/07/04852/exercise_bandstructure.pdfFrom 1 well to 2 wells to 5 wells to periodic potentials: an Exercise
http://nanohub.org/resources/4853
This exercise demonstrates that the interaction between the wells lifts the degeneracy of the quasi-bound states and if in the limit we have infinite periodic potential it leads to formation of energy bands. Notice that when the interaction is less strong the energy levels are more sharp and the width of the bands is smaller.NSFNSFThis exercise demonstrates that the interaction between the wells lifts the degeneracy of the quasi-bound states and if in the limit we have infinite periodic potential it leads to formation of energy bands. Notice that when the interaction is less strong the energy levels are more sharp and the width of the bands is smaller.NSFNSFnoABACUS, AQME, energy bands, nanoelectronics, quantum wellsDragica Vasileska, Gerhard KlimeckDragica Vasileska, Gerhard KlimeckTeaching MaterialsWed, 02 Jul 2008 20:30:33 +0000/http://nanohub.org/site/resources/2008/07/04854/125_wells.pdf