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
>
>
>
>
>
>Thomas Stout wrote:
>
>  
>
>>Yes, Bob - I believe that is correct!
>>-Tom
>>
>>On Tue, Apr 15, 2008 at 1:47 PM, Bob Hanson <[EMAIL PROTECTED] 
>><mailto:[EMAIL PROTECTED]>> wrote:
>>
>>    Thank you, Thomas. That's very interesting information. I hope
>>    that Jmol
>>    can be at the forefront of visualizing whatever is needed in that
>>    area.
>>
>>    Am I correct that the PDB ANISOU records are coefficients for the
>>    equation
>>
>>     U11 x^2  + U22 y^2 + U33 z^2 + U12 xy + U13 xz + U23 yz - c = 0
>>
>>    where x, y, and z are not Cartesian coordinates but, rather,
>>    coordinates
>>    in the reciprocal  lattice space:
>>
>>     x a* + y b* + z c*
>>
>>    ? This means also that the space group must be read properly so
>>    that the
>>    unit cell parameters and reciprocal axes can be determined. Correct?
>>
>>    Bob
>>
>>
>>    Thomas Stout wrote:
>>
>>    >
>>    > I too am very supportive of adding this functionality!  For
>>    > macromolecules however, I would like to comment though that the
>>    number
>>    > of "ultra-high-resolution" (sub 1.0-1.4Angstrom) structures is
>>    > continuing to increase rapidly.  This is due to both better crystals
>>    > and much more powerful synchrotron X-ray sources (amongst other
>>    > factors).  Therefore, the number of macromolecular structures with
>>    > anisotropic thermal parameters is also greatly on the rise.  One
>>    > caveat however is that the entire issue of the aniso-Bs (or Us) is
>>    > currently under debate in the macromolecular field.  The recent rise
>>    > of TLS refinement (essentially, anisotropic motion of domains) is
>>    > proving a distinct advantage in the refinement of moderate (and
>>    lower)
>>    > resolution structures.  There is not yet a consensus on how those
>>    > modified Bs (or Us) should be properly represented within the PDB
>>    > format, and as a result there is  considerable "variety" amongst
>>    > structures in the PDB with ANISO records.  (Some are the "raw"
>>    (whole)
>>    > nine components of the atomic thermal parameter, others are the
>>    > directional modifications to the isotropic thermal parameter).
>>    > However, the format is fixed so I would still encourage the
>>    inclusion
>>    > of PDB structures in the anisotropic thermal ellipsoid
>>    representations
>>    > (and leave it up to the macromolecular crystallographers to sort out
>>    > what those fields actually mean).
>>    >
>>    > This would be a very useful addition!
>>    > Cheers,
>>    > Tom
>>    >
>>    > On Tue, Apr 15, 2008 at 7:06 AM, Alan Hewat <[EMAIL PROTECTED]
>>    <mailto:[EMAIL PROTECTED]>
>>    > <mailto:[EMAIL PROTECTED] <mailto:[EMAIL PROTECTED]>>> wrote:
>>    >
>>    >     I strongly support Brian's request for drawing anisotropic
>>    temperature
>>    >     ellipsoids, and agree with Rich that the full ellipsoid surface
>>    >     should be
>>    >     drawn, with an option for showing axial lengths. Actually, near
>>    >     the end of
>>    >     last year we discussed standards for output of anisotropic
>>    temperature
>>    >     factors from the Inorganic Crystal Structure Database ICSD,
>>    and at
>>    >     that
>>    >     time Brian pointed out the IUCr CIF recommendations, which
>>    are for
>>    >     Uij:
>>    >
>>    >     On Fri, Nov 16, 2007 at 6:32 PM, Brian McMahon <[EMAIL PROTECTED]
>>    <mailto:[EMAIL PROTECTED]>
>>    >     <mailto:[EMAIL PROTECTED] <mailto:[EMAIL PROTECTED]>>> wrote:
>>    >     >  For structural papers (e.g. Acta C and E) there is a list of
>>    >     >  required items
>>    >     (http://journals.iucr.org/services/cif/reqditems.html)
>>    >     >  which stipulates _atom_site_U_iso_or_equiv. Does this answer
>>    >     >  your question? I think the biological crystallography
>>    journals
>>    >     >  accept Bij values in line with that community's normal
>>    practice.
>>    >
>>    >     Bob, you may obtain CIFs containing Uij anisotropic temperature
>>    >     factors
>>    >     from the ICSD on http://icsd.ill.fr/ The IUCr published CIFs
>>    are also
>>    >     freely available to download, and definitions of Uij are
>>    contained
>>    >     on the
>>    >     IUCr website. Let me know if you have any specific questions.
>>    >     Anisotropic
>>    >     temperature factors would be really great for inorganic and
>>    small
>>    >     organic
>>    >     structures. They are perhaps less useful for large organic
>>    >     molecules where
>>    >     PDB format usually applies.
>>    >
>>    >     Alan.
>>    >     ______________________________________________
>>    >     Dr Alan Hewat, NeutronOptics, Grenoble, FRANCE
>>    >     <[EMAIL PROTECTED]> +33.476.98.41.68
>>    >          http://www.NeutronOptics.com/hewat
>>    >     ______________________________________________
>>    >
>>    >
>>    >    
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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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>
>
>  
>


-- 
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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