So I guess there is never a case in crystallography in which our
models predict the data to within the errors of data collection? I
guess the situation might be similar to fitting a Michaelis-Menten
curve, in which the fitted line often misses the error bars of the
individual points, but gets the overall pattern right. In that case,
though, I don't think we say that we are inadequately modelling the
data. I guess there the error bars are actually too small (are
underestimated.) Maybe our intensity errors are also underestimated?

JPK

On Thu, Oct 28, 2010 at 9:50 AM, George M. Sheldrick
<gshe...@shelx.uni-ac.gwdg.de> wrote:
>
> Not quite. I was trying to say that for good small molecule data, R1 is
> usally significantly less than Rmerge, but never less than the precision
> of the experimental data measured by 0.5*<sigmaI>/<I> = 0.5*Rsigma
> (or the very similar 0.5*Rpim).
>
> George
>
> Prof. George M. Sheldrick FRS
> Dept. Structural Chemistry,
> University of Goettingen,
> Tammannstr. 4,
> D37077 Goettingen, Germany
> Tel. +49-551-39-3021 or -3068
> Fax. +49-551-39-22582
>
>
> On Thu, 28 Oct 2010, Jacob Keller wrote:
>
>> So I guess a consequence of what you say is that since in cases where there 
>> is
>> no solvent the R values are often better than the precision of the actual
>> measurements (never true with macromolecular crystals involving solvent),
>> perhaps our real problem might be modelling solvent?
>> Alternatively/additionally, I wonder whether there also might be more
>> variability molecule-to-molecule in proteins, which we may not model well
>> either.
>>
>> JPK
>>
>> ----- Original Message ----- From: "George M. Sheldrick"
>> <gshe...@shelx.uni-ac.gwdg.de>
>> To: <CCP4BB@JISCMAIL.AC.UK>
>> Sent: Thursday, October 28, 2010 4:05 AM
>> Subject: Re: [ccp4bb] Against Method (R)
>>
>>
>> > It is instructive to look at what happens for small molecules where
>> > there is often no solvent to worry about. They are often refined
>> > using SHELXL, which does indeed print out the weighted R-value based
>> > on intensities (wR2), the conventional unweighted R-value R1 (based
>> > on F) and <sigmaI>/<I>, which it calls R(sigma). For well-behaved
>> > crystals R1 is in the range 1-5% and R(merge) (based on intensities)
>> > is in the range 3-9%. As you suggest, 0.5*R(sigma) could be regarded
>> > as the lower attainable limit for R1 and this is indeed the case in
>> > practice (the factor 0.5 approximately converts from I to F). Rpim
>> > gives similar results to R(sigma), both attempt to measure the
>> > precision of the MERGED data, which are what one is refining against.
>> >
>> > George
>> >
>> > Prof. George M. Sheldrick FRS
>> > Dept. Structural Chemistry,
>> > University of Goettingen,
>> > Tammannstr. 4,
>> > D37077 Goettingen, Germany
>> > Tel. +49-551-39-3021 or -3068
>> > Fax. +49-551-39-22582
>> >
>> >
>> > On Wed, 27 Oct 2010, Ed Pozharski wrote:
>> >
>> > > On Tue, 2010-10-26 at 21:16 +0100, Frank von Delft wrote:
>> > > > the errors in our measurements apparently have no
>> > > > bearing whatsoever on the errors in our models
>> > >
>> > > This would mean there is no point trying to get better crystals, right?
>> > > Or am I also wrong to assume that the dataset with higher I/sigma in the
>> > > highest resolution shell will give me a better model?
>> > >
>> > > On a related point - why is Rmerge considered to be the limiting value
>> > > for the R?  Isn't Rmerge a poorly defined measure itself that
>> > > deteriorates at least in some circumstances (e.g. increased redundancy)?
>> > > Specifically, shouldn't "ideal" R approximate 0.5*<sigmaI>/<I>?
>> > >
>> > > Cheers,
>> > >
>> > > Ed.
>> > >
>> > >
>> > >
>> > > --
>> > > "I'd jump in myself, if I weren't so good at whistling."
>> > >                                Julian, King of Lemurs
>> > >
>> > >
>>
>>
>> *******************************************
>> Jacob Pearson Keller
>> Northwestern University
>> Medical Scientist Training Program
>> Dallos Laboratory
>> F. Searle 1-240
>> 2240 Campus Drive
>> Evanston IL 60208
>> lab: 847.491.2438
>> cel: 773.608.9185
>> email: j-kell...@northwestern.edu
>> *******************************************
>>
>>
>

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