Dear Herman,

there is no freedom to choose between twinned-P32 (5 chains) and 
untwinned-P3221 (2 chains plus 0.5 chain in two orientations) or even vote; it 
is either one or the other, and there should be a difference in R values. 
Why? A twin operator leads to addition of intensities whereas a spacegroup 
operator leads to addition of (complex) structure factors. They are not 
exchangeable. Both produce symmetry, but the math is different, and thus the 
resulting intensities are different. 
The correct spacegroup can only be found by trying all possibilities, and 
comparing R values. However, for a meaningful comparison of R values, one has 
to restrain the NCS (and one cannot strictly compare twinned refinement results 
with untwinned refinement, as noted earlier).

best wishes,
Kay

On Fri, 27 Aug 2021 08:56:38 +0000, Schreuder, Herman /DE 
<[email protected]> wrote:

>Dear Peer and Eleanor,
>
>This is indeed what I am suspecting: If the "twinning operator" in P32 puts 4 
>out of 5 protein chains on top of symmetry mates, is the "true" space group 
>then P32, with 5 twinned chains, or P3221 with 4 normal chains and 1 chain on 
>a special position? I would vote for the latter.
>
>Best,
>Herman
>
>Von: CCP4 bulletin board <[email protected]> Im Auftrag von Peer Mittl
>Gesendet: Freitag, 27. August 2021 10:17
>An: [email protected]
>Betreff: Re: [ccp4bb] Antwort: Re: [ccp4bb] chain on 2-fold axis?
>
>Dear Eleanor,
>
>I indeed used r/tefmac for the refinement and it came up with the values
>HKL (a=0.56), KH-L (a=0.44). It would be interesting to see if a
>refinement in P3221 would come up with the same occupancies for the
>alternative conformations for the "extra" chain on the 2-fold axis. It
>seems as if the "well-ordered" chains (2 in P3221, 4 in P32) form a
>sublattice with P3221 symmetry and it's just the "extra" chain, which
>generates the twinning.
>
>All the best,
>Peer
>
>On 26.08.2021 18:09, Eleanor Dodson wrote:
>> Motto =mitti in predictive text!
>>
>> On Thu, 26 Aug 2021 at 16:52, Eleanor Dodson
>> <[email protected] 
>> <mailto:[email protected]<mailto:[email protected]%20%3cmailto:[email protected]>>>
>>  wrote:
>>
>> Great, motto. I think you have nailed it! Did you use tefmac for
>> twinned refinement? And if so what did it suggest the twin
>>  fraction is?
>>
>> On Thu, 26 Aug 2021 at 16:30, Peer Mittl <[email protected]
><mailto:[email protected]%0b>> <mailto:[email protected]>> wrote:
>>
>> Yes, the data indeed seems to be twinned and the tNCS has
>> masked the twinning statistics, which is why I haven't
>> considered it so far.
>>
>> I have not tried twinned refinement in C2 and P1 yet, but
>> refining 4 chains in P32 with twinning yields a difference ED
>> map that clearly indicates one (and just on!) orientation for
>> the 5th chain. Thank you all for your suggestions.
>>
>> Have a nice evening,
>> Peer
>>
>> -----"CCP4 bulletin board" <[email protected]
><mailto:[email protected]%0b>> <mailto:[email protected]>> schrieb: 
>-----
>> An: [email protected]<mailto:[email protected]> 
>> <mailto:[email protected]>
>> Von: "Kay Diederichs"
>> Gesendet von: "CCP4 bulletin board"
>> Datum: 26.08.2021 16:41
>> Betreff: Re: [ccp4bb] chain on 2-fold axis?
>>
>> Dear Peer,
>>
>> I suspect that the true spacegroup has lower symmetry than
>> P3221, and that there may be twinning masked by tNCS.
>> Subgroups of P3221 are C2 and P32 (
>> https://strucbio.biologie.unikonstanz.de/xdswiki/index.php/Space_group_determination#Subgroup_and_supergroup_relations_of_these_space_groups<https://strucbio.biologie.unikonstanz.de/xdswiki/index.php/Space_group_determination#Subgroup_and_supergroup_relations_of_these_space_groups>
>> <https://strucbio.biologie.unikonstanz.de/xdswiki/index.php/Space_group_determination#Subgroup_and_supergroup_relations_of_these_space_groups<https://strucbio.biologie.unikonstanz.de/xdswiki/index.php/Space_group_determination#Subgroup_and_supergroup_relations_of_these_space_groups>>
>> )
>> and of course P1.
>> What I'd do is process the data, and solve (use the best chain
>> of the refined P3221 model for MR) and refine the structure in
>> these spacegroups.
>> Inspect the results: If P1 is clearly better than P32 and C2,
>> P1 is correct.
>> If C2 (P32) is clearly better than P32 (C2), then P1 should
>> give the same R-values as the better one; if so, P1 can be
>> discarded.
>> Try this with and without twin refinement - although it's hard
>> to compare R-values of non-twinned and twinned refinements.
>>
>> The automatic way to do this is with Zanuda. If you run that
>> locally, you can make refmac do twin refinement.
>>
>> For all resulting structures, I'd also feed the resulting
>> Fcalc (!) into pointless. That should reveal that the packing
>> is indeed close to P3221.
>>
>> Best wishes,
>> Kay
>>
>>
>> On Thu, 26 Aug 2021 11:54:06 +0200, Peer Mittl
>> <[email protected] 
>> <mailto:[email protected]<mailto:[email protected]%20%3cmailto:[email protected]>>>
>>  wrote:
>>
>> >Der CCP4 community,
>> >
>> >Is there a refinement program that can handle protein
>> monomers sitting
>> >on crystallographic 2-folds?
>> >
>> >This is probably a strange question but we have the following
>> situation.
>> >We have a 2.6 Ang datasets in SG P3221 (Rpim=4%, Isa=19.6)
>> and a clear
>> >molrep solution with 2 chains, albeit with tNCS (0/0/0.5)
>> that can be
>> >refined to around 27/33% Rfactor. According to Vm a third
>> chain could be
>> >present. So far so good, but there is clear difference ED for
>> a third
>> >chain sitting exactly on the 2-fold. Since the protein has a
>> peculiar
>> >shape, one can tell even its orientation. I can relax the
>> symmetry to
>> >P32 (or even P1) and place the missing chain with 50%
>> occupancy on the
>> >2-fold. This model can be refined, but I do not like this
>> work around,
>> >because the data is clearly P3221.
>> >
>> >Any hints on similar crystal pathologies and how they have
>> been handled
>> >would be helpful.
>> >
>> >All the best,
>> >Peer
>> >
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>--
>****************************
>Peer Mittl, PD Dr.
>Biochemisches Institut
>Universit�t Z�rich
>Room 44M03
>Winterthurer Strasse 190
>CH-8057 Z�rich
>
>Tel. +41-(0)44-6356559
>Mobile +41-(0)76-2776566
>Fax. +41-(0)44-6356805
>Mail [email protected]<mailto:[email protected]>
>
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