Here's an interesting paper on "The Genesis of Twinned Crystals" (from
1945! - it's even printed on simulated aged paper and if you look
closely the "aging" has an unrealistic plane-group pattern!):

http://www.minsocam.org/msa/collectors_corner/arc/twinorig.htm

It's by the eminent crystallographer Martin J. Buerger who was Prof. of
Mineralogy at MIT (http://en.wikipedia.org/wiki/Buergerite) (those of us
old enough will remember his classic textbooks "Elementary
Crystallography" and "the Precession Method in Crystallography":
http://www.amazon.com/s/ref=nb_ss_b/104-3443522-7876740?url=search-alias
%3Dstripbooks&field-keywords=%22martin+j.+buerger%22&Go.x=9&Go.y=10&Go=G
o).

Anyway, the point is that crystals are never "grown under identical
conditions" even in the same pot - crystallisation by definition is a
dynamic process so that the precise conditions will vary over time and
even from place to place in the pot, because as a crystal grows the
protein or whatever is depleted from solution and so the conditions in
the solution phase inevitably change over time.  Crystallisation is
necessarily a non-equilibrium process from a supersaturated solution (if
it were truly in equilibrium it would take an infinite time for a
crystal to grow!) - and the degree of supersaturation is known to be
correlated with the frequency of occurrence of growth defects such as
twinning.  As the material is depleted from solution the degree of
supersaturation is reduced, so the rate of growth slows down and defects
including twinning become less likely.  Hence one would hypothesise that
the more highly twinned crystals in a pot would be the ones that had
formed first (or at least formed fastest), and in the case of the
variably twinned needle crystal that I mentioned earlier one would
expect that the crystal had grown from the twinned end towards the
non-twinned end - I don't know if anyone has actually looked at this in
detail!

-- Ian


> -----Original Message-----
> From: [EMAIL PROTECTED] 
> [mailto:[EMAIL PROTECTED] On Behalf Of Mark Mayer
> Sent: 17 April 2007 20:39
> To: CCP4BB@JISCMAIL.AC.UK
> Subject: twin fraction varies between crystals?
> 
> For cases where people have had merohedral twinning, did the 
> twin fraction vary substantially 
> between individual crystals grown under indentical 
> conditions? I have no prior experience with 
> merohedral twinning, and was surprised to see that the twin 
> fraction varied substantially as detailed 
> below, and that by screening we were able to get untwinned xtals. 
> 
> The project started with a weak home data set for which the 
> twin fraction was 0.478, and which 
> scaled in both H3 and H32. We just came back from APS with 
> data sets from another three crystals, 
> for which the ML twin fraction, estimated using 
> phenix.xtriage with scalepack merged intensities as 
> input, varied from 0.335, 0.219 and 0.02. The latter is 
> refining very nicely, in H3 and will not scale in 
> H32. 
> 
> Thanks - Mark
> 
> 

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