On Fri, Feb 23, 2024 at 9:58 AM Winter, Graeme (DLSLtd,RAL,LSCI) <
00006a19cead4548-dmarc-requ...@jiscmail.ac.uk> wrote:

> While I get where you are coming from, it is still from a mathematical
> standpoint correct to consider e.g. a tetragonal crystal as monoclinic -
> P21 is a subgroup of P43212 (say) so strictly it is possible and correct -
> if experimentally unlikely - to have the situation we are discussing here
> occur.
>

Actually all values of beta are equally likely (up to a certain point,
larger angles, say > 120, obviously become much less likely because it's
likely that the cell can be transformed into one with a smaller angle).
90.0000 is just as likely as 90.0001, and 90.0002, and 90.0003 ... .  If I
ask what's the chance that the next structure determination in monoclinic
will have beta = 91.2345 it's exactly the same chance as it will have beta
= 90.0000 .  Logically if we exclude 90.0000 on the grounds that it's very
unlikely we should exclude all values!  Obviously if I ask what's the
chance beta will be _anything_ other than 90, that's a false comparison.
10 heads in a row has a chance of 2^-10 and so does any random sequence I
name before the toss (say HHHTTHHTHT): the point is I'm doing the choosing.

Cheers

-- Ian

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