The original reference for the H cell is the very first edition of Int.
Tab.:

Hermann, C. (1935).  Internationale Tabellen zur Bestimmung von
Kristallstrukturen.  Berlin: Gebrueder Borntraeger.

Cheers

-- Ian


On Wed, 22 Jul 2020 at 17:34, Eleanor Dodson <
0000176a9d5ebad7-dmarc-requ...@jiscmail.ac.uk> wrote:

> Well - yes . I am a true devotee of doctored cells to match something
> already in existence in a higher symmetry which has become approximate in
> some new manifestation! But I hadnt realised there were official versions
> of doctoring..
> Eleanor
>
> On Wed, 22 Jul 2020 at 16:29, Jeremy Karl Cockcroft <jeremyk...@gmail.com>
> wrote:
>
>> Dear Eleanor,
>> What you say is absolutely spot-on! An H3 cell can be reduced down to the
>> smaller P3 cell as you pointed out.
>>
>> However, sometimes it may be useful to use a larger unit cell. I can't
>> give an example for trigonal space groups or from protein crystallography,
>> but in a recent paper, I used a unit cell in C-1 (i.e. a doubled P-1
>> triclinic cell) as this related to the C-centred monoclinic cell as
>> exhibited in a higher temperature phase. I could have used P-1, but I knew
>> that chemists would see the relationship between the phases more easily by
>> using an enlarged cell. I have done this sort of thing many times, e.g. I
>> used F2/d for the low temperature phase of DI (HI) many years ago instead
>> of C2/c as this related to the face-centred cubic form. As I am interested
>> in phase transitions, I  tabulated a range of space-group settings for
>> enlarged unit cells on my site.
>>
>> I am not sure that this will make the CCP4 list as I am not subscribed to
>> it - please feel free to echo it on there.
>> Best regards,
>> Jeremy Karl.
>> ***************************************************************
>> Dr Jeremy Karl Cockcroft
>> Department of Chemistry
>> (University College London)
>> Christopher Ingold Laboratories
>> 20 Gordon Street
>> London WC1H 0AJ
>> +44 (0) 20 7679 1004 (laboratory)
>> +44 (0) 7981 875 829 (cell/mobile)
>> j.k.cockcr...@ucl.ac.uk or jeremyk...@gmail.com
>> http://img.chem.ucl.ac.uk/www/cockcroft/homepage.htm
>> ***************************************************************
>> 6 Wellington Road
>> Horsham
>> West Sussex
>> RH12 1DD
>> +44 (0) 1403 256946 (home)
>> ***************************************************************
>>
>>
>> On Wed, 22 Jul 2020 at 14:51, Nicholas Keep <n.k...@mail.cryst.bbk.ac.uk>
>> wrote:
>>
>>>
>>>
>>>
>>> -------- Forwarded Message --------
>>> Subject: Re: [ccp4bb] Question about P3, H3 and R3 space groups
>>> Date: Wed, 22 Jul 2020 14:41:27 +0100
>>> From: Eleanor Dodson <0000176a9d5ebad7-dmarc-requ...@jiscmail.ac.uk>
>>> <0000176a9d5ebad7-dmarc-requ...@jiscmail.ac.uk>
>>> Reply-To: Eleanor Dodson <eleanor.dod...@york.ac.uk>
>>> <eleanor.dod...@york.ac.uk>
>>> To: CCP4BB@JISCMAIL.AC.UK
>>>
>>> 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
>>>>
>>>>
>>>> ------------------------------
>>>>
>>>> To unsubscribe from the CCP4BB list, click the following link:
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>>>>
>>>
>>> ------------------------------
>>>
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>>
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