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Physics
Atomic and Condensed Matter
Symmetries of a Diamond Unit Cell - Point Group Confusion
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[QUOTE="ngonyama, post: 6014921, member: 646938"] The difference between a mirror operation and a glide operation is that the latter is followed by a translation of half a unit cell, i.e. [I]a few Angstroms at most[/I]. If you want to describe, say the refractive index and your wavelength is 500nm or 5000A (green light) do you really think that tiny shift matters? You will observe the rotational point group symmetry, not the space group one. If you use X-rays with wavelengths in the Angstrom range that becomes a very different matter. It also matters if you consider band structures, particularly at the edges of the Brillouin zone. It is phenomenon known as 'bands-sticking-together'. The non-symmorphic symmetry causes the local representations in points other than Γ not to be fully reducible. [/QUOTE]
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Atomic and Condensed Matter
Symmetries of a Diamond Unit Cell - Point Group Confusion
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