The first Brillouin zone of an infinite chain of H atoms has an infinite number of crystal

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The first Brillouin zone of an infinite chain of H atoms has an infinite number of crystal orbitals, each with a different value of k.

(a) State the limiting values of k within the first Brillouin zone.

(b) The figure below shows the real part of the wavefunction for a crystal orbital ψ(r) with a specific value of k (the positions of the H atoms are denoted by the black dots). Determine the value of k for this crystal orbital.

(c) Calculate the momentum of this crystal orbital.

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Solid State Materials Chemistry

ISBN: 9780521873253

1st Edition

Authors: Patrick M. Woodward, Pavel Karen, John S. O. Evans, Thomas Vogt

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Question Posted: Jan 23, 2024 10:02 AM

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The first Brillouin zone of an infinite chain of H atoms has an infinite number of crystal

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a a k a b Visual inspection shows tha...View the full answer

Solid State Materials Chemistry

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