Thank you for your responses. Actually, the data are very complete: 99.6%
total and 99.2% in the high resolution shell. Only 2% of data were used for
cross validation because there were a large number of reflections.

I had calculated omit maps. At first when I discovered the presence of the
lower occupancy form, I initially only had the modified ligand in the map,
but then using phases from the model including it, noticed extra density
explainable by the unmodified ligand. Afterward, however, I calculated omit
maps, removing all ligands. The mFo-DFc omit map does indeed show features
of the unmodified (lower occupancy) ligand even when omitting all ligands in
the model. However, the 2mFo-Dfc omit map shows the lower occupancy form
better than the mFo-Dfc omit map.  Interesting.

Gregg
 

*******************************************
Gregg Crichlow
Dept. of Pharmacology
Yale University
P.O. Box 208066
New Haven, CT 06520-8066
*******************************************





On 3/27/12 4:48 PM, "Ethan Merritt" <[email protected]> wrote:

> [Snipped from the full message, which is appended below]
>>  The program that kept showing me two forms bound was not
>>  substituting Fcalc for unobserved reflections.  So, I turned on the option
>>  to substitute Fcalc, and the minor form disappeared � the density looked
>>  like it did in the second program.  I figured the density that reveals the
>>  two forms must be correct being that it would be a big coincidence for
>>  artifactual density to appear that just so happens to fit perfectly our
>>  added (unmodified)ligand at 1.55 A.  So, I suppose, being that the occupancy
>>  of the major form is so much higher, by substituting unobserved reflections
>>  with Fcalc, the major form is being overemphasized, and the minor form
>>  becomes invisible.
> 
> A weighted difference map (mFo - DFc) that does not include the ligand
> atoms in Fc at all would be a better guide.  It would not be biased by
> the current ligand model [or at least much less biased] and it certainly
> would not be sensitive to the modelled occupancies since these atoms
> would not be contributing to Fc at all regardless of occupancy.
> 
> It is in general more convincing to show difference density from
> an Fo-Fc map with ligands omitted from Fc than it is to show density
> from some variant of 2Fo-Fc with ligands included in Fc.
> 
> How complete is your data set?
> Are you trying to deal with more than a few per cent of missing reflections?
> If it is only the highest resolution shell that has poor completeness,
> have you tried truncating the map calculation to a shell that is complete?
> 
> Ethan
> 
> 
> On Tuesday, March 27, 2012 01:06:16 pm Gregg Crichlow wrote:
>>  Please excuse me for bringing up an old issue.  I have an interesting
>>  example of a difference seen when DFc was substituted for missing
>>  reflections versus when it wasn�t. Maybe others had this experience.  I had
>>  a structure in which the electron density showed two �overlapping� ligands
>>  bound in the same active site.  One was the ligand that was co-crystallized
>>  with the protein.  The other was the same ligand but with an unintentional
>>  modification (presumably due to radiation dose).  I was able to discern the
>>  two forms in the electron density (1.55 A) being that they did not
>>  completely overlap.  Based on occupancy refinement, the occupancies were
>>  0.12 and 0.88 (unmodified and modified forms, respectively).  Then one time
>>  I calculated the map using a second program, and the lower occupancy ligand
>>  disappeared!  When I calculated maps in the first program, there were again
>>  two forms visible.  I thought that the difference may be due to the
>>  difference between substituting unobserved reflections with Fc (or rather
>>  DFc because of sigma-A weighting) versus omitting them from the Fourier
>>  transform.  The program that kept showing me two forms bound was not
>>  substituting Fcalc for unobserved reflections.  So, I turned on the option
>>  to substitute Fcalc, and the minor form disappeared � the density looked
>>  like it did in the second program.  I figured the density that reveals the
>>  two forms must be correct being that it would be a big coincidence for
>>  artifactual density to appear that just so happens to fit perfectly our
>>  added (unmodified)ligand at 1.55 A.  So, I suppose, being that the occupancy
>>  of the major form is so much higher, by substituting unobserved reflections
>>  with Fcalc, the major form is being overemphasized, and the minor form
>>  becomes invisible.
>>                    There may be many cases in which substituting Fcalc (or
>>  DFc) for missing reflections is beneficial. I don�t know the mathematical or
>>  theoretical arguments behind it.  I�m not arguing for one way being
>>  generally superior to the other, or for one program over another.  However,
>>  this is one empirical example of it being advantageous not to make this
>>  substitution.
>>                    When calculating experimentally phased maps, we multiply
>>  our structure factors by a figure of merit to down-weight reflections with
>>  less certain phases. Could one consider leaving missing reflections as zero
>>  analogous to multiplying Fcalc by FOM = 0? (just asking � maybe this is
>>  faulty logic.) Of course, this would be for the sake of the amplitude
>>  instead of the phase in this case. If an intensity is not observed, we have
>>  the ultimate uncertainty regarding its value.
>>  Maybe some developers will want to use this structure and the corresponding
>>  data to test DFc vs. �0� vs. DFc multiplied by a specific FOM only used for
>>  the missing reflections, varying from 0 to 1.  Unfortunately, this structure
>>  is not yet published (we needed to wait for other experiments to be
>>  finished) so I cannot yet provide it or the structure factors. However, if
>>  anyone is interested, feel free to contact me, and when it is published I
>>  would be happy to let you know the PDB code, if you still want it.
>>  
>>  
>>  
>>  *******************************************
>>  Gregg Crichlow
>>  Dept. of Pharmacology
>>  Yale University
>>  P.O. Box 208066
>>  New Haven, CT 06520-8066
>>  *******************************************
>>  
>>   
>>  
>>  
>>  
> 
> -- 
> Ethan A Merritt
> Biomolecular Structure Center,  K-428 Health Sciences Bldg
> University of Washington, Seattle 98195-7742
> 
> 


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