Hi,

I think through bond and through space B factor (+ sphericity) restraints 
primarily exist for pragmatic reasons: they are needed to maintain the 
numerical stability of the refinement. That is a separate issue from making 
physical sense. If one finds consistent B-factor similarity in atoms connected 
through bonds and near each other that lends support to a physical 
interpretation. Unfortunately that is not the case: a CG atom in a lysine 
residue tend to have higher Biso than a CB atom and lower Biso than a CD atom 
even though they are both CB and CD are covalently bonded to CG and they are 
physically close to one other. That tells me that the position of the atom in a 
residue predicts their relative B factors than bonding connectivity. Spherical 
targets also work against evidence as the probability of finding perfectly 
isotropic atoms in a protein structure is close to zero in high resolution 
structures. It is enough take a look at the excellent PARVATI home page at the 
fraction of atoms at anisotropy=1: 
http://skuld.bmsc.washington.edu/parvati/parvati_survey.html

We did not try to put atoms into predetermined groups, but used clustering 
analysis of the ADP tensors in a set of high resolution structures.  We found 
that ADPs of covalently bonded atoms are rarely the most similar. Only in 
weakly defined parts of the structure bonding connectivity has strong 
predictive power, but I wonder if that is not entirely the effect of 
restraints. 

What is really surprising is that ADPs of chemical similar atoms have a 
tendency to be the most similar even though they are located in completely 
different parts of the structure. And that includes similarity in displacement 
directions in the absence of obvious symmetry.
Different crystal structures have different disorder and resolution in you 
analysis is shown to have a role. Therefore restraints might need to be 
tailored to the actual type of disorder (for example using TLS or not). I agree 
that when it comes to physically relevant ADP restraints, our toolbox may also 
be incomplete. 

Best wishes,

Gergely

-----Original Message-----
From: CCP4 bulletin board <CCP4BB@JISCMAIL.AC.UK> On Behalf Of Bohdan Schneider
Sent: March 12, 2020 11:05
To: CCP4BB@JISCMAIL.AC.UK
Subject: Re: [ccp4bb] [3dem] Which resolution?

Hello,

B-factors actually do have a physical meaning which is at least to some extent 
reflected by the crystal structures as refined. This can be demonstrated at 
higher resolution structures: when we created three tiers of structures, better 
than 1.9 Å, 1.9-2.4 Å, and 2.4-3.0 Å, structures in the first one showed 
distinct distributions of B factors for the amino acid side chain/main chain 
atoms inside and outside the protein, for DNA bases, and phosphates, and for 
water at the interface, and on the biomolecule surface. The distinction is less 
clear for the
1.9-2.4 Å structures and is lost completely below that resolution limit.

We think that the distributions for the high resolution structures can be 
developed into meaningful set of constraints and/or validation criteria.

If interested, you can read more in our open access paper Acta Cryst. 
(2014). D70, 2413–2419 (doi:10.1107/S1399004714014631).

Best regards,

Bohdan, bs.structbio.org

On 2020-03-11 16:41, Gerard DVD Kleywegt wrote:
>>> If this is the case, why can't we use model B factors to validate 
>>> our structure? I know some people are skeptical about this approach 
>>> because B factors are refinable parameters.
>>>
>>> Rangana
>>
>> It is not clear to me exactly what you are asking.
>>
>> B factors _should_ be validated, precisely because they are refined 
>> parameters that are part of your model.   Where have you seen 
>> skepticism?
> 
> Rangana said that B-values should not be used *to validate 
> structures*, NOT that B-values themselves shouldn't be validated themselves.
> 
> I suppose I am at least in part to blame for the former notion and the 
> reason for this (at least circa 1995 when the Angry Young Men from 
> Uppsala first starting harping on about this) was that B-values 
> tend(ed) to be error sinks which could "absorb" all sorts of errors 
> and phenomena in addition to modelling atomic displacement (e.g., 
> unresolved disorder, unresolved NCS differences, incorrect restraints, 
> incorrect atom types modelled, partial ocupancies, etc.).
> 
> --Gerard
> 
> ******************************************************************
>                             Gerard J. Kleywegt
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