Hi Doeke,

you can take the coordinates of B and do a rigid body refinement
against the data from A. If this map is sufficient to reproduce model A
(including model building and more refinement cycles), then B is
isomorphous to A. You can do this the other way round, and the result
may not be the same - hence, the mathematical definition of isomorphous
is not identical to the practical use of 'isomorphous' structures when
it comes to phasing. You can repeat this for each side of the triangle
(each in two directions) in order to label the semantic triangle.

Merry Christmas, more peace on earth and sanity for the elections in
2024!

Tim

On Wed, 20 Dec 2023 20:15:17 +0000 "Hekstra, Doeke Romke"
<[email protected]> wrote:

> Dear colleagues,
> 
> Something to muse over during the holidays:
> 
> Let's say we have three crystal forms of the same protein, for
> example crystallized with different ligands. Crystal forms A and B
> have the same crystal packing, except that one unit cell dimension
> differs by, for example, 3%. Crystal form C has a different crystal
> packing arrangement altogether. What is the right nomenclature to
> describe the relationship between these crystal forms?
> 
> If A and B are sufficiently different that their phases are
> essentially uncorrelated, what do we call them? Near-isomorphous?
> Non-isomorphous? Do we need a different term to distinguish them from
> C or do we call all three datasets non-isomorphous?
> 
> Thanks for helping us resolve our semantic tangle.
> 
> Happy holidays!
> Doeke
> 
> =====
> 
> Doeke Hekstra
> Assistant Professor of Molecular & Cellular Biology, and of Applied
> Physics (SEAS), Director of Undergraduate Studies, Chemical and
> Physical Biology Center for Systems Biology, Harvard University
> 52 Oxford Street, NW311
> Cambridge, MA 02138
> Office:    617-496-4740
> Admin:   617-495-5651 (Lin Song)
> 
> 
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Tim Gruene
Head of the Centre for X-ray Structure Analysis
Faculty of Chemistry
University of Vienna

Phone: +43-1-4277-70202

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