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Eng 45 - Chapter 1 - Structure(27)

Eng 45 - Chapter 1 - Structure(27) - pass by but traveling...

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Materials Science Fall, 2007 Page 26 electrons are mobile and fill the whole solid. However, the Pauli Exclusion Principle still applies. An electron that is in, say, the 3s state in the isolated atom cannot simply move through the solid by successively occupying the 3s states of its neighbors, since these states are already filled. The valence electron states on the atoms must combine together to make new states that are independent of on another, spread through the solid, and hold no more than two electrons (one of each spin). These are the one-electron states of the solid. core states valence states excited states free states E ... Fig. 2.8: Schematic diagram of the potential and the electron energy states along a line of atoms in a solid. The atom at the left lies at the solid surface. One way to construct the different one-electron states of a solid is to let the valence electrons move through the solid by occupying identical states on the atoms they
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Unformatted text preview: pass by, but traveling with different momenta. Since the momentum of an electron is part of its quantum state, electrons with different momenta are in different quantum states and, hence, satisfy the Pauli principle. An electron can, of course, be viewed as either a particle or a wave. If it is regarded as a particle, its momentum is written p = m*v 2.5 where p is the magnitude of the electron's momentum, v is its velocity and m* is its effec-tive mass , which may differ from its physical mass because of the interaction with the nu-clei and the other electrons. If the electron is regarded as a wave, its momentum can be written p = h ¬ = Ók 2.6 Thank you for evaluating AnyBizSoft PDF Splitter. A watermark is added at the end of each output PDF file. To remove the watermark, you need to purchase the software from http://www.anypdftools.com/buy/buy-pdf-splitter.html...
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Eng 45 - Chapter 1 - Structure(27) - pass by but traveling...

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