Brian McMahon wrote:

>Dear Bob
>
>At first glance, tested against a number of Acta Cryst. C structures
>with relatively large or elongated ellipsoids, this is looking very
>nice indeed.
>
>So far the only issue I have come across is the logic of handling
>mixed isotropic/anisotropic refinements; in the CIF
>     http://scripts.iucr.org/cgi-bin/sendcif?gd3149sup1
>there are a number of atoms (O43, O53) which have been refined
>isotropically and are listed in the main atom list with their
>values of _atom_site_U_iso_or_equiv. They don't appear in the
>separate list of atoms with anisotropic Uij values. So Jmol
>doesn't display them at all in the "ellipsoid" mode. I guess
>they should appear as suitably scaled spheres, perhaps with some
>indication that they are U_equivalent's; or perhaps with a mode
>that can switch on/off "ellipsoid" displays for isotropically
>refined atoms.
>  
>
I'd like to be translate those to Uij values. Can you find out how to do 
that? I see

http://www.iucr.org/iucr-top/cif/cif_core/definitions/Cdata_atom_site_U_iso_or_equiv.html

but...



>My editorial colleagues are happy with the idea of using the
>"temperature" colour scheme in association with these ellipsoids,
>and in these examples that also works well.
>
>  
>
Note that I am defining temperature as

(U11 + U22 + U33)/3.0 * 100

If this is not correct, please let me know. (I can't find where I read 
that, and I don't know if I remember it correctly.)

>I'll build some options arising from this into our enhanced
>figures toolkit and encourage the technical editors here to
>experiment some more.
>
>  
>
great.

>The drop-down menu will benefit from having some of this functionality
>added. An obvious extension would be to add "displacement ellipsoids"
>to the list of Style>Scheme, but it might also be useful to have a
>menu option to select between different styles of representation (axes,
>footballs, etc.) when these become available.
>
>  
>
right....

>Thank you very much for the work you've put into this: for our
>small-molecule applications this will enormously increase the
>impact of Jmol enhanced figures!
>
>  
>
terrific.

>Best wishes
>Brian
>_________________________________________________________________________
>Brian McMahon                                       tel: +44 1244 342878
>Research and Development Officer                    fax: +44 1244 314888
>International Union of Crystallography            e-mail:  [EMAIL PROTECTED]
>5 Abbey Square, Chester CH1 2HU, England
>
>
>
>On Thu, Apr 17, 2008 at 02:14:06AM -0500, Bob Hanson wrote:
>  
>
>>Alright. Time to test.  See
>>
>>http://chemapps.stolaf.edu/jmol/docs/examples-11/new.htm
>>http://chemapps.stolaf.edu/jmol/docs/examples-11/ellipsoids.jpg
>>http://chemapps.stolaf.edu/jmol/docs/examples-11/Jmol-11_5.zip
>>
>>Bob
>>
>>
>>
>>Bob Hanson wrote:
>>
>>    
>>
>>>Alan, Thomas, Brian, Rich, others,
>>>
>>>OK, progress. I have just uploaded code introducing the ELLIPSOID 
>>>command. All it does at this point is draw the axes. But that's enough 
>>>to convince me I do have the Uij --> ellipsoid axes conversion correct, 
>>>and that is no small achievement! The ellipsoid axes are determined by 
>>>first transforming the Uij to Bij, then expressing the B matrix in terms 
>>>of cartesian coordinates. Then solving the eigenvector problem to find 
>>>the rotation that sets all nondiagonal elements 0 so that the 
>>>characteristic equation is of the form
>>>
>>> a11 x^2 + a22 y^2 + a33 z^2 = constant
>>>
>>>For the record, this required adding a small eigenvector/eigenvalue 
>>>solver class (public domain, NIST - JAMA; org/jmol/symmetry/Eigen.java).
>>>
>>>Still to do are (a) symmetry considerations and (b) footballs.
>>>
>>>I hope to look at this later today. Symmetry should be no problem. I'm 
>>>pretty sure just have to make sure I'm multiplying matrices properly. 
>>>Some nice examples with different symmetries and poor data (lots of 
>>>anisotropy) would be helpful. Alan, do you have any BAD data??? (Feel 
>>>free to send it to me off line if you would prefer.) Once we have 
>>>symmetry, we will at least have visualizations to check. Footballs can 
>>>come later.
>>>
>>>At some point we need to confirm that the axes are the correct absolute 
>>>length. I think I can do footballs without isosurfaces. Tricky, though. 
>>>We need to find out how to draw ellipsoids in POV-Ray. We might even get 
>>>the POV-Ray output going first if that turns out to be a relatively easy 
>>>operation.
>>>
>>>Colors -- for now let's just stick with what Jmol can do with colors 
>>>already. This includes temperature, which I believe can be calculated 
>>>from Uij using:
>>>
>>>bFactor = (U11 + U22 +  U33)/3
>>>
>>>but I'm not 100% sure that is correct.
>>>
>>>Bob
>>>      
>>>
>
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-- 
Robert M. Hanson
Professor of Chemistry
St. Olaf College
Northfield, MN
http://www.stolaf.edu/people/hansonr


If nature does not answer first what we want,
it is better to take what answer we get. 

-- Josiah Willard Gibbs, Lecture XXX, Monday, February 5, 1900



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