Talk:Brillouin zone

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could this page not do with some diagrams???

You can possibly entice someone to make one by adding {{reqdiagram}} here and then list it at requested images. — Laura Scudder 01:22, 24 May 2006 (UTC)

the lower right panel of the figure (showing the Brillouin zone for the triangular lattice) has the wrong orientation: it should be rotated by 90 degrees; perhaps the artist can fix this... Brienanni 17:32, 26 March 2007 (UTC)

Actually, the image looks okay. On the left the reciprocal lattice is shown, on the right the same with the first Brillouin zone marked. 01:24, 29 March 2007 (UTC)
sorry, I had misunderstood the image: thought the left showed the real space lattice, and the right the reciprocal lattice with the first Brillouin zone marked Brienanni 19:57, 29 March 2007 (UTC)

Brillouin zone.svg: Correct or incorrect?[edit]

User: apparently agreed that the diagram on the current page is incorrect: [1] I don't have any knowledge in this area; could someone who does have knowledge comment on the diagram's correctness?

If the diagram is indeed correct, the article or diagram caption should explain why it is correct: "Some textbooks depict the zone rotated 90 degrees", or "Note that the sides of the polygon are perpendicular to the edges of the reciprocal graph, rather than parallel", or some other such wording. That way, readers won't be tempted to miscorrect it again. EDIT: After reading a bit more of the article, I believe the diagram is correct; it shows the set of all points in the plane which are closer to the central dot than to any other dot. However, I still don't know what wording to use to deter people from miscorrecting the caption.

Or, if the diagram is indeed incorrect, then it should be fixed. If multiple people agree that it's incorrect but don't know how to fiddle with SVG images, I'd be willing to try fixing it up myself. Drop me a line on my Talk page. --Quuxplusone (talk) 23:53, 18 January 2011 (UTC)

The issue here is whether the lattice shown at left is the real-space lattice or the reciprocal lattice. If it is the reciprocal lattice, it is correct. If the lattice at left is the real-space lattice, then problem is that the reciprocal of a hexagonal lattice is a hexagonal lattice rotated by 30 degrees, and hence the corresponding Brillouin zone is rotated by 30 degrees compared to what is currently shown. I will correct the caption to indicate that the reciprocal lattices are what are shown in the figure. — Steven G. Johnson (talk) 02:50, 19 January 2011 (UTC)

Both Brillouin Zones are correct but in a) the construction of it is depicted wrong (the diagonal lines are not connecting the nearest dots to the origin, these lines would actually be used to construct the 2nd BZ), i found a nice construction guide here: (Noizhende (talk) 22:17, 25 January 2015 (UTC))

Three dimensional BZs: updates?[edit]

I am the author of the 3D-BZs. There is a gauge in the definition of the axes in the real space (a1,a2,a3) so the reciprocal axes (b1,b2,b3) might be rotated (and/or mirrored/inversed) with respect to some books and other software. Unfortunately, there is no standardization here. If somebody is interested in creating animated GIFs so that the irreducible part of the BZ is shown more clearly (with associated high-symmetry paths and points), I can give the Cartesian coordinates . -Stefano Curtarolo 1 May 2014. — Preceding unsigned comment added by Auro69 (talkcontribs) 16:12, 1 May 2014 (UTC)

Irreducible Brillouin Zone: updates?[edit]

I think this sentence is wrong: "... irreducible Brillouin zone, which is the first Brillouin zone reduced by all of the symmetries in the point group of the lattice", as I think the IBZ is reduced by the symmetries of the point group of the crystal and not the point group of the lattice. If you take a FCC lattice and populate the unit cell with atoms in random positions, the BZ will look like the FCC one, but the IBZ will contain the whole BZ, because the symmetry becomes P1 (space group =1), consistent with a triclinic symmetry. Thanks -Stefano Curtarolo 1 May 2014. — Preceding unsigned comment added by Auro69 (talkcontribs) 16:19, 1 May 2014 (UTC)

== Please dont mess up the hexagonal lattice system: it is lattice system, see last column of lattice systems in the wikipedia page.

Critical Points?[edit]

Both 'critical point' and 'gamma-point' l(and surely more) link here, yet there's no mention of either. A corresponding section has been removed in the past.

Why? — Preceding unsigned comment added by (talk) 15:59, 8 October 2015 (UTC)

Bouillon cube[edit]

"also known as the Bouillon cube" - Can I assume this is a gag? (talk) 03:54, 7 July 2016 (UTC)

Symmetry point labels[edit]

Electronic_band_structure#Crystalline_symmetry_and_wavevectors says "Special high symmetry points in the Brillouin zone are assigned labels like Γ, Δ, Λ, Σ." (and shows them for FCC) but (apart from Γ) they don't seem to be mentioned here. - Rod57 (talk) 22:45, 9 November 2016 (UTC)

OK. Diagram shows them as vectors from Γ to some of the high symmetry points. - Rod57 (talk) 22:50, 9 November 2016 (UTC)