| 11. | It begins with transitions at the center of the Brillouin zone, \ boldsymbol { k } = 0.
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| 12. | Brillouin was a founder of modern solid state physics for which he discovered, among other things, Brillouin zones.
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| 13. | Physically, U-processes occur when the final momentum of the particle points out of the first Brillouin zone.
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| 14. | Photons have negligible wave vectors and therefore the band extremes have to be in the same position of the Brillouin zone.
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| 15. | An ACAR measurement on a metal has discontinuities where bands cross the Fermi level in all Brillouin zones in reciprocal space.
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| 16. | Optical phonons have a non-zero frequency at the Brillouin zone center and show no dispersion near that long wavelength limit.
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| 17. | The most important consequence of the periodic potential is the formation of a small band gap at the boundary of the Brillouin zone.
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| 18. | During his work on the propagation of electron waves in a crystal lattice, he introduced the concept of Brillouin zones in 1930.
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| 19. | A constant force F _ 0 results in the acceleration of the particle until the edge of the first Brillouin zone is reached.
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| 20. | Therefore, all distinct Bloch waves occur for "'k "'- values within the first Brillouin zone of the reciprocal lattice.
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