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Periodic Potential Lab Learning Materials

by Saumitra Raj Mehrotra, Dragica Vasileska, Gerhard Klimeck, Alejandra J. Magana, SungGeun Kim

Version 2
by Saumitra Raj Mehrotra
Version 6
by Michael Anderson

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By completing the Periodic Potential Lab in [[Resource(5065)]], you will be able to:
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By completing the Periodic Potential Lab in [[Resource(5065)]], users will be able a) to understand the Kronig-Penney model and the formation of energy bands and energy gaps due to the underlying periodic interaction potential, b) to understand the concept of the effective mass, and c) to create their own Kronig-Penney solver.
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a) understand the Kronig-Penney model and the formation of energy bands and energy gaps due to the underlying periodic interaction potential
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b) understand the concept of the effective mass
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c) create your own Kronig-Penney solver.
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12 The specific objectives of the Periodic Potentials Lab are:
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14 [[Image(template_scheme.jpg, 400px)]]
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18 == Recommended Reading ==
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If you have not had experience with periodic potentials, bandstructure, the concept of the effective mass, etc., listed below are the suggested reading materials:
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Users who are new to periodic potentials, bandstructure, or the concept of the effective mass should consult the following resources:
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1. D. K. Ferry, Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Second Edition (Institute of Physics Publishing, 2001).
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1. D. K. Ferry. (2001). ''Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers''. 2nd ed. Bristol (UK): Institute of Physics Publishing.
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25 == Demo ==
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[[Resource(6855)]]
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* [[Resource(6855)]]
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* [[Resource(6839)]]
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== Theoretical descriptions ==
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== Theoretical Descriptions ==
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35 * [[Resource(2263)]]
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37 * [[Resource(2346)]]
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39 * [[Resource(4847)]]
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43 == Tool Verification ==
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45 [[Resource(8197)]]
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== Worked Examples ==
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== Examples ==
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1. [[Resource(6839)]]
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1. [[Resource(11125)]]
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56 == Exercises and Homework Assignments ==
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58 1. [[Resource(3950)]]
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60 2. [[Resource(4851)]]
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64 == Solutions to Exercises ==
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Solutions to exercises will be provided to Instructors ONLY!
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Solutions to exercises are provided only to instructors!
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== Take a Test ==
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== Evaluation ==
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This test will assess your conceptual understanding of the physical, mathematical and computational knowledge related to periodic potentials and formation of bandstructure in crystals.
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This resource will evaluate the user's conceptual understanding of the physical, mathematical and computational knowledge related to periodic potentials and formation of bandstructure in crystals.
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74 [[Resource(9458)]]
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== Solve the Challenge ==
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== Challenge ==
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In this final challenge you will integrate all what you have learned about the Kronig-Penney model.
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In this final challenge, users will integrate what they have learned about the Kronig-Penney model.
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82 [[Resource(9195)]]

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