The overall standard uncertainty (e.s.d.) 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 = is form factor of atoms
delta_x = expected error
m = is figure of merit of phases of reflection
included in summation delta_x expected error
s = reciprocal space vector
epsilon = multiplicity of 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) "Simplified error estimation a la
Cruickshank in macromolecular crystallography",
Murshudov G. N. & Dodson E. J. (1997). CCP4 Newsletter,
no. 33. http://www.dl.ac.uk/CCP/CCP4/newsletter33/