The numeric average of the B factors of the atoms in your model only
roughly corresponds to the calculation of the Wilson B.  While I always
expect the average B to be larger than the Wilson B, how much larger
depends on many factors, making it a fairly useless criteria for judging
the correctness of a model.

   While it is pretty easy to understand the average of the B factors in
your model, the Wilson B is more difficult.  Since it is calculated by
drawing a line though the (Log of) the intensity of your structure
factors as a function of the square of sin theta over lambda, it is
rather removed from the atomic B factors.  When drawing the line the low
resolution data are ignored because those data don't fall on a straight
line, and this means that the large B factor atoms in your model are
ignored in the Wilson B calculation.

   The Wilson B is (sort of) a weighted average of the B factors of your
model, with the smallest B's given the largest weight.  The actually
weighting factor is a little obscure so I don't know how to simulate it
to adjust the averaging of atomic B's to come out a match.  The easiest
way to compare your model to the Wilson B is to calculate structure
factors from it and calculate the Calculated Wilson B.  No one does this
because it will always come out as a match.  If your calculated Wilson B
doesn't match the observed Wilson B your R values are guaranteed to be
unacceptable and your refinement program will have to be malfunctioning
to create such a model.

   If all the B factors in your model are equal to each other, your
refined model will have an average B that matches the Wilson B, because
weighting doesn't matter in that situation.  If you allow the B's to
vary, the difference between the average and the Wilson B will depend on
how high of an individual B factor you are willing to tolerate.  If you
are a person who likes to build chain into weak loops of density, or
build side chains where there is little to no density, then your average
B will be much larger than the Wilson B.  This does not mean there is an
error, it is simply a reflection of the Wilson B's insensitivity to
atoms with large B.

   I do not believe comparing the average B to the Wilson B has any
utility at all.

Dale Tronrud

On 3/12/2019 11:34 AM, Eze Chivi wrote:
> Dear CCP4bb community,
> 
> 
> The average B-factor (calculated from model) of my protein is 65,
> whereas the Wilson B is 52. I have read in this BB that "it is expected
> that average B does not deviate strongly from the Wilson B". How I can
> evaluate if the difference calculated for my data is razonable or not?
> 
> 
> Thank you in advance
> 
> 
> Ezequiel
> 
> 
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