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On Thu, 2 Oct 2014 11:58:42 +0100, Ian Tickle <[log in to unmask]> wrote:

>Hi, we shouldn't be using numbers at all (CCP4-style or otherwise, since
>no-one else outside the MX community uses these).  We should be using the
>unique full Hermann-Mauguin symbol, since the 'standard setting' space
>group number in IT obviously does not uniquely define the setting, and it's
>the setting that matters.  Note that the standard setting symbol P2221
>means 'either P2122 or P2212 or P2221' according to the a<=b<=c convention
>(this is universal amongst the crystallography communities), so you still

Once again, citing from ITC Vol A Table 9.3.2 (p. 747 in my 1995 edition) , these "conventions refer to the cell obtained by the transformations from Table 9.3.1. They have been chosen for convenience in this table". To me, this indicates that a<b<c _could_ be obtained _if_ one were to transform. But the question is: why would one want to transform? I don't see "sticking to the original indexing" as a convincing convenience.

>have to define the setting if you refer to the standard symbol.  I'm aware

My copy of ITC Vol A says (p 41) about Table 3.2: "the 'standard' space group symbols ... are printed in bold face". The Table has "P 21 21 2" (18) and "P 2 2 21" (17) in bold face. There is no ambiguity here.

>that some software uses the list of general equivalent positions to define
>the space group but IMO that's overkill.  If I wan't to talk about space
>group F432 you can't expect me to recite the list of 96 g.e.p.s! - the H-M
>symbol is sufficient.  There are of course other cases besides P2221 where
>the setting is ambiguous (e.g. C2/A2/I2 and various cases of origin
>shifting), so using the correct symbol for the setting is critical.
>
>The most important features of any convention are a) that it's documented
>in an 'official' publication (i.e. not informal such as software
>documentation, otherwise how am I supposed to reference it?), and b)
>everyone subscribes to it.  If you think we should be using a different
>convention then I want to see the proper documentation for it, with
>everything spelled out in excruciating detail (so it should be at least as
>thick as ITC!).  It seems to me that ITC fulfils these requirements
>admirably!

Switching the default in POINTLESS from "SETTING CELL-BASED" to "SETTING SYMMETRY-BASED" would make me happy, but more importantly, would avoid a lot of problems.

thanks,

Kay

>
>Cheers
>
>-- Ian
>
>On 2 October 2014 10:25, Kay Diederichs <[log in to unmask]>
>wrote:
>
>> On Tue, 30 Sep 2014 13:29:02 +0100, Phil Evans <[log in to unmask]>
>> wrote:
>>
>> >Be careful: the International Tables space group number may be ambiguous.
>> For example sg number 18 may refer to P 21 21 2 or its permuted settings P
>> 21 2 21 or P 2 21 21, if you follow the "proper" IUCr convention that
>> primitive orthorhombic space groups have a<b<c
>>
>> I would like to point out that there is an alternative interpretation of
>> the International Tables (Vol A, 4th ed. 1995). In that interpretation
>> (which e.g. XDS follows) space group 18 has the 'standard' space group
>> symbol, "P21 21 2" (bold letters in Table 3.2). This is of course not
>> ambiguous at all; the pure 2-fold then corresponds to the "c" axis and
>> there is always a permuation of axes to achieve this. As a result, the axes
>> are not necessarily ordered such that a<b<c . The latter ordering is just a
>> "convention" which was "chosen for convenience" and the "convention
>> refer(s) to the cell obtained by the transformations from Table 9.3.1"
>> (citing from table 9.3.2) - in other words, the convention is fulfilled
>> _after_ the transformation (which of course is just order-permuting while
>> keeping right-handedness) - nothing new here.
>>
>> In my understanding, CCP4 developers have (years ago) understood this
>> "convention" as a "condition", which lead them to  invent "CCP4 space group
>> symbols" 1017 and 2017 as well as 1018, 2018, 3018. This also seems to be
>> the reason for the default being "SETTING CELL-BASED" in POINTLESS.
>>
>> Users of XDS should be aware that by default, POINTLESS therefore permutes
>> the axes such that a<b<c . This however may lead to space groups 1017 /
>> 2017 / 1018/ 2018/ 3018 - indicated in the MTZ file, but not in the
>> POINTLESS log file (last I checked).
>>
>> In consequence, XDS will use the space group 17 or 18 (which is what
>> POINTLESS reports), but the user must provide  the correct ordering (which
>> does not necessarily mean a<b<c) of cell parameters in XDS.INP. The easiest
>> way, for XDS users, would be to run POINTLESS with the "SETTING
>> SYMMETRY-BASED" option (I wish the latter were the default because the
>> default SETTING CELL-BASED has no advantages that I can see). Or they use
>> the "good old manual way" of inspecting, by eye, the systematic absences
>> along H00 0K0 00L - this cannot fail.
>>
>> To me, "symmetry trumps cell metric" so "SETTING SYMMETRY-BASED" should be
>> the default.
>>
>> I'm harping on this because I have recently seen how a Molecular
>> Replacement solution was not obtained in space group 18 because of the
>> misleading (I'd say) ordering a<b<c .
>>
>> I'm probably also harping on this because it took me so many years to
>> discover this failure mode, and I would like to prevent others from falling
>> into this trap.
>>
>> HTH,
>>
>> Kay
>>
>>
>>
>> >
>> >The space group names are unambiguous (though also watch out for R3 & R32
>> which are normally indexed as centred hexagonal, but could be indexed in a
>> primitive cell)
>> >
>> >Phil
>> >
>> >
>> >On 30 Sep 2014, at 13:07, Simon Kolstoe <[log in to unmask]> wrote:
>> >
>> >> Dear ccp4bb,
>> >>
>> >> Could someone either provide, or point me to, a list of space-groups
>> relevant to protein crystallography just by space group number? I can find
>> lots of tables that list them by crystal system, lattice etc. but no simple
>> list of numbers.
>> >>
>> >> Thanks,
>> >>
>> >> Simon
>>
>