Dear Randy,

I could not agree more. Statistical methods for phasing and refinement
must be better using the observed intensities and their esds than with
(c)truncated F-values. In particular one should merge intensities, not
truncated Fs!

To elaborate on Harry's comment, when SHELXL started refining only
against intensities 22 years ago, I received many complaints from irate
small molecule crystallographers whose papers had been rejected because
the unweighted R-factors R2 (based on intensities) were too high. I even
sent a letter to editors of the journals involved to explain why
R-factors based on intensities are at least twice as high as those based
on F, but to no avail. So I had to output R1 (the unweighted R-value
based on F) even though the structure had been refined against
intensitites, then everyone was happy.

Do I correctly understand that you have developed new (better) maximum
likelihood criteria for use with I rather than F?

Best wishes, George



On 12/02/2014 10:26 PM, Randy Read wrote:
> Dear Mohamed,
> 
> At the moment, a lot of programs require amplitudes, but I believe that they 
> should all eventually be updated to use intensities.  In fact, we’re in the 
> end stages of a large project to switch Phaser from using amplitudes to using 
> intensities.  There are a number of reasons why, in principle, it’s better to 
> work in terms of intensities.  One is that it’s perfectly reasonable to have 
> a negative observed intensity, which can come from subtracting a background 
> estimate with measurement errors from a very weak peak with its own 
> measurement errors.  That, of course, is where the French and Wilson 
> algorithm comes in, allowing an amplitude to be estimated without simply 
> taking a square root.  However, the problem with the French and Wilson 
> algorithm is that it loses information, i.e. you can’t reconstruct the 
> intensity and its standard deviation.  What you get out of French & Wilson 
> depends on the estimate of the expected intensity for a reflection, which is 
> typically taken from t
he mean in the resolution shell but should vary with direction for crystals 
suffering from anisotropic diffraction and should be modulated for crystals 
with translational non-crystallographic symmetry.
> 
> Another reason it’s better to work in terms of intensities is that it’s 
> reasonable to assume that the measurement errors for intensities are 
> Gaussian, but then less reasonable to assume that for amplitudes 
> (particularly with the problem that amplitudes can’t be negative).
> 
> For now, you need amplitudes for a lot of purposes and then the French & 
> Wilson algorithm is useful.  But what I would strongly recommend is that you 
> hang on to the intensities and you make sure that the intensities are 
> deposited at the PDB.  It’s a pity that many PDB depositions only have 
> amplitudes that have been through French & Wilson, so that new procedures 
> based on intensities won’t be able to be applied with their full power.
> 
> Best wishes,
> 
> Randy Read
> 
> -----
> Randy J. Read
> Department of Haematology, University of Cambridge
> Cambridge Institute for Medical Research    Tel: +44 1223 336500
> Wellcome Trust/MRC Building                         Fax: +44 1223 336827
> Hills Road                                                            E-mail: 
> rj...@cam.ac.uk
> Cambridge CB2 0XY, U.K.                               
> www-structmed.cimr.cam.ac.uk
> 
> On 1 Dec 2014, at 20:49, Mohamed Noor <mohamed.n...@staffmail.ul.ie> wrote:
> 
>> Dear crystallographers
>>
>> Is there any reason for using one data type over the other? Are there any 
>> errors associated with the French and Wilson I-to-F conversion step?
>>
>> Thanks.
>> Mohamed
> 

-- 
Prof. George M. Sheldrick FRS
Dept. Structural Chemistry,
University of Goettingen,
Tammannstr. 4,
D37077 Goettingen, Germany
Tel. +49-551-39-33021 or -33068
Fax. +49-551-39-22582

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