73 Consider a conduction electron in a cubical crystal of a con- ducting material. Such an electron is free to move throughout the volume of the crystal but cannot escape to the outside. It is trapped in a three-dimensional infinite well. The electron can move in three dimensions, so that its total energy is given by h2 -(n} + n} + n}), E = 8L?m in which n1, n2, and n; are positive integer values. Calculate the en- ergies of the lowest five distinct states for a conduction electron moving in a cubical crystal of edge length L = 0.25 µm.

73 Consider a conduction electron in a cubical crystal of a con- ducting material. Such an electron is free to move throughout the volume of the crystal but cannot escape to the outside. It is trapped in a three-dimensional infinite well. The electron can move in three dimensions, so that its total energy is given by h2 -(n} + n} + n}), E = 8L?m in which n1, n2, and n; are positive integer values. Calculate the en- ergies of the lowest five distinct states for a conduction electron moving in a cubical crystal of edge length L = 0.25 µm.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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