Differences between cubic crystal symmetry groups

[gerd hasenrein]

Dear mtex users,

I have a quite fundamental question about symmetry groups that is maybe easy to answer for some of you.

When I assign 'cubic' symmetry to a set of orientations, it is typically 'm-3m'. When I look for cubic symmetry groups also '432' or '23' would also be valid for cubic symmetry. I actually understand the Herman-Maugin notation and what the numbers mean. But what I'm in doubt is for what one uses the different symmetries. Is it for example depending on if one analyses fcc or bcc crystal structure?

I would be very pleased for some explaining answer.

Best wishes

[ruediger Kilian]

Hi,

the cubic crystal system has 3 Bravais lattices (cO,CI,cF) and 5 point groups. Each of these point groups are distinct by their symmetry operators - that's what you choose with crystalSymmetry in mtex.
Hope that helps.

Cheers,
Rüdiger

[gerd hasenrein]

Thank you Rüdiger for your reply,

then which point group should one chose to represent a metallic material with cubic symmetry, e.g. aluminum (fcc): m-3m, 432, 23?

Best wishes

[Rüdiger Kilian]

Hi,
it depends on your material. If you look up aluminum, it is m-3m. fcc is just the lattice type, but in any of the cubic point groups you may find F lattices.

Hope that helps.
Cheers,
Rüdiger

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From: mtex...@googlegroups.com <mtex...@googlegroups.com> on behalf of gerd hasenrein <lapa...@gmail.com>
Sent: Tuesday, September 24, 2019 8:41:35 AM
To: MTEX
Subject: Re: {MTEX} Differences between cubic crystal symmetry groups

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