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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
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter28: Atomic Physics
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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.
Transcribed Image Text: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.
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