I think your procedure is good with current technology. At early stages twin refinement may give misleading results.

An intuitive resoning for low R factor would be: Twin is summation of intensities. As you sum intensities two things happen: 1) distribution of intensities become more symmetric (departs from wilson distribution or chisquared distribution with degrees of freedom 2 in case of acentric reflections) 2) distributions become narrower. As distribution becomes narrower probability that differences between randomly selected values from the population with this distribution is small will be higher. Hence R factors will be smaller. When errors in model becomes comparable with the errors in experiment then differences between observed structure and calculated structure factors become more "independent" and R factors become comparable. In practice it never happens (errors in model are always higher than errors in experimental data which is understandable). So "twin" R factor always going to be lower than corresponding non-twin R factor.

As a general rule: One should be careful in comparing R factors from two different crystals. R factors are not only dependent on errors in coordinate model. But they are dependent on many statistical properties of crystal, twinning is just an example of such properties.

There are some warnings about twin refinement for extreme cases on the presentation from www.ysbl.york.ac.uk:/y/people/garib/Presentations/ Refmac_February.ppt, slides number 17 and 18 (apologies if it sound like as self promotion)

regards
Garib



On 23 Apr 2010, at 22:56, Jon Schuermann wrote:
Hari,

What twin tests have you run? Results? If your data really is P43212 and you drop to P212121 you will still have the additional two-fold operator in your data. An operator is a mathematical operator, which could be crystallographic or twin.

I never refine a structure with twin refinement from the beginning (even if I suspect it is twinned). I do iterative rounds of model building and conventional refinement until I cannot get the R-factor any lower. Depending on many factors (resolution, twin fraction, etc.), I usually get stuck in the mid-30's. At this point I will investigate twin refinement or other possible SG's.

If you start using twin refinement too early in the model building process, I have seen programs report much too low R-factors and exaggerated twin fractions. Probably, a programmer like Garib or Peter could comment on why.

Jon



On 04/23/2010 04:28 PM, hari jayaram wrote:
I am refining a twinned dataset in possible spacegroup P212121 . Pointless thinks it is P43212 , but based on reading this posting (http://www.phenix-online.org/pipermail/phenixbb/2007-September/000501.html ) I think it is P212121.

The starting R/Rfree after molecular replacement ( single site mutant) was 34/38 to 2.2 A

After an initial round of restrained refinement ( without twin refinement) and minimal rebuilding I got the R/Rfree to 30/34

Then I did an amplitude based twin refinement - The twin fraction was 0.48 k,h,-l and 0.52 h,k,l and The r/rfree became 24/29

After a little more rebuilding ( a few residues out of 800 residues in ASU) and another twin refinement I got an r/rfree of 22/27 . Now the twin fraction was 0.87 (h,k,l) and 0.13 (k,h,-1)

The maps looked a little better allowing me to fix a few more residues

Finally the same twin refinement gives me no twin operators and the R/Rfree is 22/26


All the twinning tests indicate a serious twinning in my crystal. Any ideas why I am seeing this

Hari





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Jonathan P. Schuermann, Ph. D.
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