My knowledge of Fortran is dated, but the ESU_R and ESU_RFREE are
calculated in refmac like this

HESU_CRUIC = SQRT(FLOAT(N_REFINED_ATOMS)/FLOAT(NREFMNPAR))*
     +              COMPL**(-0.333333)*HD_HIGH*HRFAC_SHELL_WORK(NB1)

HESU_FREE = SQRT(FLOAT(N_REFINED_ATOMS)/FLOAT(NREFA(1,NB1)))*
     +        COMPL**(-0.333333)*HD_HIGH*HRFAC_SHELL_FREE(NB1)

Completeness and resolution are the same in both, so for the ratio of
the two you get

ESU_R/ESU_RFREE=SQRT(Nrefl/(Nrefl-Npar))*(R/Rfree)

First factor will always be >1, second <1.  It seems to me that R/Rfree
stays roughly constant at various resolutions, so ESU_R > ESU_RFREE will
hold at lower resolutions, where Nrefl is small.

Now to specific numbers in your case:

R=18.343, Rfree=23.766, Nrefl=8006, Npar=4*1577=6308
(it appears to me that with isotropic Bfactors refmac indeed uses
Npar=4*Natoms)
This gives

ESU_R/ESU_RFREE ~1.68, in perfect agreement with stated ESU's
(0.468/0.279~1.68)

Ed.



On Mon, 2010-01-11 at 12:12 +0100, Mueller, Juergen-Joachim wrote:
> 
> Dear all,
> a solved 2.6 Ang. structure shows the following estimated coordinate
> errors
> REMARK   3  ESTIMATED OVERALL COORDINATE ERROR.
> REMARK   3   ESU BASED ON R VALUE                            (A):
> 0.468
> REMARK   3   ESU BASED ON FREE R VALUE                       (A):
> 0.279
> REMARK   3   ESU BASED ON MAXIMUM LIKELIHOOD                 (A):
> 0.217
> 
> Similar values are calculated by REFMAC independent of its version.
> The reverse order
> (at least for Rvalue and Rfree) makes more sense to me. Using the
> formula for the ESDs given in the REFMAC documentation also a reverse
> order seems to be correct (Parameters are given in the full pdb-header
> attached).
> Unclear to me is whether the restraints are included in the item
> Nparam or not. I choose Nparam=4 x Natom. Or what could be the reason
> for discrepancy?
> Any comments are welcome
> Jürgen
> 
> 


-- 
Edwin Pozharski, PhD, Assistant Professor
University of Maryland, Baltimore
----------------------------------------------
When the Way is forgotten duty and justice appear;
Then knowledge and wisdom are born along with hypocrisy.
When harmonious relationships dissolve then respect and devotion arise;
When a nation falls to chaos then loyalty and patriotism are born.
------------------------------   / Lao Tse /

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