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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