Making sense of Brillouin Zones - Part 1
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This is part 1 of a two-part video on how to make sense of Brillouin zones, a central concept in the physics of solids. This first part contains the introductory material for a demonstration of aliasing, which appears in the second part. Video posted for use under Creative Commons Licence - by-nc-sa
Comments
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Man you say words funny? are you from london?
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the brillouin zone of reciprocaq lattice to fcc lattice ha shortest G's are eight vectors, how?????
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Quick Q: why is the spacing in the reciprocal lattice 2*pi/a ? Is related to needing units of inverse meters in K-space?
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Thanks for uploading this. Very clear explanation.... Does the same explanation apply to the plasmon dispersion relation?
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Nice! Thank you!
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Reciprocal lattice... that's a tricky in words and it's probably best put by wikipedia as "the lattice in which the Fourier transform of the spatial wavefunction of the original lattice is represented." In other words, imagine you have an electron wavefunction e^ikr in a crystal where the sites are in real space r. The reciprocal lattice is just that crystal transformed into momentum space k.
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what is the reciprocal lattice ?
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thank you from Taiwan
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Thanks that was very clear. Not going to make any puns about crystals to say how clear.
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wigner seitz cell
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What does he say at 2:55: "And so your Brillouin zones are just the _ _ _ _ _ _, okay so its the uhm set of all points closest to the point of interest..."
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With Fourier-Transformation.
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What is wave with the different lambdas on Brillouin Zones ? what does it mean, wavelength, wave on the Brillouin Zones ?
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What is a WignerSeitz Cell ?
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Otherwise, great video, really well explained. Perhaps some relation to what they actually are, i.e. their relation to free electron theory.
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When you're explaining the reduced scheme, I was taught that instead of reflecting at each brillouin zone boundary, the wave coupld simply moved the reciprocal lattice vector in either direction. Since we also used a negative k-axis, I think this is slightly easier to understand than the reflection. Admittedly, our explanation for the movement was very mathsy, so probably not really suited to video. (next comment)
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