Hi Eleanor

H3 #143 is (and always has been) a triply-primitive cell setting of P3.

http://img.chem.ucl.ac.uk/sgp/large/143bz1.htm

Cheers

-- Ian


On Wed, 22 Jul 2020 at 14:42, Eleanor Dodson <
0000176a9d5ebad7-dmarc-requ...@jiscmail.ac.uk> wrote:

> But surely P3 symmetry ' cell ( a,a,c 90 90 120) with origin shifts
> (⅓,⅔,0), +(⅔,⅓,0) can just be indexed as P3 with
> cell (a/sqrt(3), a/sqrt(3), c, 90 90 120) ??
> Eleanor
>
> On Wed, 22 Jul 2020 at 14:32, Nicholas Keep <n.k...@mail.cryst.bbk.ac.uk>
> wrote:
>
>> I have an answer from Jeremy Cockcroft the author of the 'Birkbeck'
>> Tables. Actually Jeremy has been at UCL for a decade or so and they are
>> hosted from their
>>
>> Nick
>>
>> In answer to the question regarding the use of R and H for trigonal space
>> groups, the letters refer to two distinct types of lattice centring
>> symmetry operation, namely +(⅓,⅔,⅔), +(⅔,⅓,⅓) and +(⅓,⅔,0), +(⅔,⅓,0),
>> respectively. For the subset of rhombohedral space groups, the symbol R
>> should always be used.  When the alternative unit cell with a=b=c and
>> α=β=γ is chosen, this cell corresponds to a primitive Bravais lattice, but
>> the label P is not used as this would result in confusion with
>> non-rhombohedral space groups.  (The choice of symmetry operators for
>> rhombohedral space groups is wholly dependent of the choice of unit cell,
>> i.e. hexagonal versus rhombohedral, so there is no ambiguity if the unit
>> cell is specified.)
>>
>> For the non-rhombohedral space groups, it may occasionally be convenient
>> to choose a larger H-centred unit cell that is not the usual primitive P
>> one.  (The use of larger unit cells is quite common for systems that
>> undergo phase transformations as it may enable the crystallographer to keep
>> the contents of the unit cell the same in both phases.)  Note that the
>> use of an H-centred lattice switches the order of the symmetry elements in
>> these space group symbols, e.g. P312 becomes H321.
>>
>> I am not aware of any changes to this convention, which I believe has a
>> long history.  However, it is possible that the letter H has been used
>> unwittingly for other purposes.
>>
>> Jeremy Karl Cockcroft
>>
>>
>> --
>>
>> NOTE NEW PHONE NUMBER JULY 2020
>>
>> Prof Nicholas H. Keep
>> Executive Dean of School of Science
>> Professor of Biomolecular Science
>> Crystallography, Institute for Structural and Molecular Biology,
>> Department of Biological Sciences
>> Birkbeck,  University of London,
>> Malet Street,
>> Bloomsbury
>> LONDON
>> WC1E 7HX
>>
>> Office G54a
>>
>> Dean Email;  scid...@bbk.ac.uk
>> Dept email     n.k...@mail.cryst.bbk.ac.uk
>> Telephone 020-3926-3475  (Will contact me at home if working as well as my 
>> office)
>>
>> If you want to access me in person you have to come to the crystallography 
>> entrance
>> and ring me or the department office from the internal phone by the door
>>
>>
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