Feature Requests item #3036295, was opened at 2010-07-28 17:14
Message generated for change (Comment added) made by hansonr
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Category: None
Group: None
Status: Open
Priority: 5
Private: No
Submitted By: Nobody/Anonymous (nobody)
Assigned to: Nobody/Anonymous (nobody)
Summary: Polyhedral volumes

Initial Comment:
For cystallographic calculations, it would be useful to compute and display the 
properties of polyhedra, including volumes, quadratic elongation, angle 
variance etc. This is done very well in VESTA and DrawXTL. As with distances 
and angles, it would also be useful to compute propogated errors if 
uncertainties on cell parameters and atomic coordinates are provided in the 
input file.

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>Comment By: Bob Hanson (hansonr)
Date: 2010-09-01 10:12

Message:
If you can define these, I could take a look. Volume would be trivial. I
don't know what the others mean.

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Comment By: Nobody/Anonymous (nobody)
Date: 2010-07-29 19:32

Message:
Hi, not sure exactly what else you want to know. The classic reference on
polyhedral distortion metrics is Robinson et al. 1971, Science 172,
567-570.

Understanding P and T-induced changes on polyhedral properties is
something very important in all areas of crystallography - certainly the
perovskite crowd want to understand contributions to phase changes from
polyhdedral tilting and distortion (bit of an old ref, but see Thomas
(1989) Acta Cryst B 45, 337-344). For my own part, I want to demonstrate
the relative compressibility* of different coordination polyhedra in my
structures (e.g., sulfate tetrahedra are very stiff, and MgO6 octahedra are
quite squashy, often more so than the bulk structure). There is an
interesting paper on polyhdral compressibilities in minerals by Bob Hazen
(1988), Am. J. Sci. 288A, 242-269
(www.geology.yale.edu/~ajs/1988/Wones.1988.09Hazen.pdf).

As I say, both VESTA
(http://www.geocities.jp/kmo_mma/crystal/en/vesta.html) and DrawXTL
(http://www.ccp14.ac.uk/ccp/web-mirrors/larryfinger/~larry.finger/drawxtl/)
compute polyhdral parameters, but neither propagate errors, so this may be
very hard to do.

*Actually, that makes me realise that it would also be useful to have a
means of representing tensorial properties over a crystal structure, for
example a thermal expansion tensor representation surface or an elastic
stiffness tensor. This would be great to show correlations between, say,
directions of greatest compressibility and some structural element. One
would want to load a file with tensor components and then plot a surface
(like WinTensor).

Cheers

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Comment By: Bob Hanson (hansonr)
Date: 2010-07-29 07:57

Message:
tell me more.

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