The overall standard uncertainty (estimated standard deviation)
of the positional parameters based on a maximum likelihood
residual.
The overall standard uncertainty (sigmaX)2 gives an
idea of the uncertainty in the position of averagely
defined atoms (atoms with B values equal to average B value)
3 N_a
(sigmaX)2 = -----------------------------------------------------
8 pi2 sumi {[1/Sigma - (E_o)2 (1-m2)](SUM_AS)s2}
SUM_AS = (sigma_A)2/Sigma2)
N_a = number of atoms
Sigma = (sigma_{E;exp})2 + epsilon [1-{sigma_A)2]
E_o = normalized structure factors
sigma_{E;exp} = experimental uncertainties of normalized
structure factors
sigma_A = <cos 2 pi s delta_x> SQRT(Sigma_P/Sigma_N)
estimated using maximum likelihood
Sigma_P = sum_{atoms in model} f2
Sigma_N = sum_{atoms in crystal} f2
f = form factor of atoms
delta_x = expected error
m = figure of merit of phases of reflections
included in the summation
s = reciprocal-space vector
epsilon = multiplicity of the diffracting plane
summation is over all reflections included in refinement
Ref: (sigma_A estimation) "Refinement of macromolecular
structures by the maximum-likelihood method",
Murshudov, G. N., Vagin, A. A. & Dodson, E. J. (1997).
Acta Cryst. D53, 240-255.
(SU ML estimation) Murshudov, G. N. & Dodson,
E. J. (1997). Simplified error estimation a la
Cruickshank in macromolecular crystallography.
CCP4 Newsletter on Protein Crystallography, No. 33,
January 1997, pp. 31-39.
http://www.ccp4.ac.uk/newsletters/newsletter33/murshudov.html