Yes, a good summary.
The use of the term redundancy (real or otherwise!) in crystallography is 
potentially misleading as the normal usages means superfluous/ surplus to 
requirements.  The closest usage I can find from elsewhere is in information 
theory where it is applied for purposes of error detection when communicating 
over a noisy channel. Seems similar to the crystallographic use.

The more relevant point is what sort of errors would be mitigated by having 
different paths through the crystal. The obvious ones are absorption errors and 
errors in detector calibration. Inverse beam methods can mitigate these by 
ensuring the systematic errors are similar for the reflections being compared. 
However, my interpretation of the Acta D59 paper is that it is accepted that 
systematic errors are present and, by making multiple measurements under 
different conditions, the effect of these systematic errors will be minimised.

Can anyone suggest other sources of error which would be mitigated by having 
different paths through the crystal. I don't think radiation damage (mentioned 
by several people) is one.

Colin

From: CCP4 bulletin board [mailto:CCP4BB@JISCMAIL.AC.UK] On Behalf Of Frank von 
Delft
Sent: 14 May 2013 14:23
To: ccp4bb
Subject: [ccp4bb] Fwd: Re: [ccp4bb] reference for "true multiplicity"?

George points out that the quote I referred to did not make it to the BB -- 
here we go, read below and learn, it is a most succinct summary.
phx

-------- Original Message --------
Subject:

Re: [ccp4bb] reference for "true multiplicity"?

Date:

Tue, 14 May 2013 09:25:22 +0100

From:

Frank von Delft 
<frank.vonde...@sgc.ox.ac.uk><mailto:%3cfrank.vonde...@sgc.ox.ac.uk%3e>

To:

George Sheldrick 
<gshe...@shelx.uni-ac.gwdg.de><mailto:gshe...@shelx.uni-ac.gwdg.de>


Thanks!  It's the Acta D59 p688 I was thinking of - start of discussion:
"The results presented here show that it is possible to solve
protein structures using the anomalous scattering from native
S atoms measured on a laboratory instrument in a careful but
relatively routine manner, provided that a sufficiently high
real redundancy is obtained (ranging from 16 to 44 in these
experiments). Real redundancy implies measurement of
equivalent or identical re¯ections with different paths through
the crystal, not just repeated measurements; this is expedited
by high crystal symmetry and by the use of a three-circle (or )
goniometer."
Wise words...

phx


On 14/05/2013 08:06, George Sheldrick wrote:
Dear Frank,

We did extensive testing of this approach at the beginning of this millenium - 
see
Acta Cryst. D59 (2003) 393 and 688 - but never claimed that it was our idea.

Best wishes,
George

On 05/14/2013 06:50 AM, Frank von Delft wrote:

Hi, I'm meant to know this but I'm blanking, so I'll crowdsource instead:

Anybody know a (the) reference where it was showed that the best SAD data is 
obtained by collecting multiple revolutions at different crystal offsets (kappa 
settings)?  It's axiomatic now (I hope!), but I remember seeing someone 
actually show this.  I thought Sheldrick early tweens, but PubMed is not being 
useful.

(Oh dear, this will unleash references from the 60s, won't it.)

phx






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