International
Tables for
Crystallography
Volume F
Crystallography of biological macromolecules
Edited by M. G. Rossmann and E. Arnold

International Tables for Crystallography (2006). Vol. F. ch. 21.2, p. 511   | 1 | 2 |

Table 21.2.3.1 

S. J. Wodak,a* A. A. Vagin,b J. Richelle,b U. Das,b J. Pontiusb and H. M. Bermanc

aUnité de Conformation de Macromolécules Biologiques, Université Libre de Bruxelles, avenue F. D. Roosevelt 50, CP160/16, B-1050 Bruxelles, Belgium, and EMBL–EBI, Wellcome Trust Genome Campus, Hinxton, Cambridge CB10 1SD, England, bUnité de Conformation de Macromolécules Biologiques, Université Libre de Bruxelles, avenue F. D. Roosevelt 50, CP160/16, B-1050 Bruxelles, Belgium, and  cDepartment of Chemistry, Rutgers University, 610 Taylor Road, Piscataway, NJ 08854-8087, USA
Correspondence e-mail:  shosh@ucmb.ulb.ac.be

Table 21.2.3.1 | top | pdf |
Parameters computed for the analysis of the structure-factor data

The first column lists the parameter, the second column gives the formula or definition of the parameter and the third column contains a short description of the meaning of the parameters when warranted.

Parameter Formula/definition Meaning
Completeness (%) Percentage of the expected number of reflections for the given crystal space group and resolution  
B_overall (Patterson) [8\pi^{2} \sigma_{\rm Patt}/(2)^{1/2}] Overall B factor
R_stand(F) [\langle \sigma (F)\rangle/\langle F \rangle] Uncertainty of the structure-factor amplitudes
Optical resolution [(\sigma_{\rm Patt}^{2} + \sigma_{\rm sph}^{2})^{1/2}] § Expected minimum distance between two resolved atomic peaks
Expected optical resolution Optical resolution computed considering all reflections  
[\hbox{CC}_{F}] [\displaystyle{\langle F_{\rm obs} F_{\rm calc}\rangle - \langle F_{\rm obs}\rangle\langle F_{\rm calc}\rangle \over \left[(\langle F_{\rm obs}^{2} \rangle - \langle F_{\rm obs}\rangle^{2}) (\langle F_{\rm calc}^{2}\rangle - \langle F_{\rm calc}\rangle^{2})\right]^{1/2}}] Correlation coefficient between the observed and calculated structure-factor amplitudes
S [\left\{{\textstyle\sum\displaystyle (F_{\rm obs} f_{\rm cutoff})^{2} \over \textstyle\sum\displaystyle \left[F_{\rm calc} \exp (- B_{\rm diff}^{\rm overall} s^{2}) f_{\rm cutoff}\right]^{2}}\right\}^{1/2}] Factor applied to scale [F_{\rm calc}] to [F_{\rm obs}]
[f_{\rm cutoff}] [1 - \exp (- B_{\rm off} s^{2})] †† Function applied to obtain a smooth cutoff for low-resolution data
[\sigma_{\rm Patt}] is the standard deviation of the Gaussian fitted to the Patterson origin peak.
F is the structure-factor amplitude, and [\sigma({F})] is the structure-factor standard deviation. The brackets denote averages.
§[\sigma _{\rm sph}] is the standard deviation of the spherical interference function, which is the Fourier transform of a sphere of radius [1/d_{\min}], with [d_{\rm min}] being the minimum d spacing.
[B_{\rm diff}^{\rm overall} = B_{\rm obs}^{\rm overall} - B_{\rm calc}^{\rm overall}] is added to the calculated overall B factor, [B_{\rm overall}], so as to make the width of the calculated Patterson origin peak equal to the observed one; s is the magnitude of reciprocal-lattice vector.
††[B_{\rm off} = 4 d_{\rm max}^{2}], where s and [d_{\rm max}], respectively, are the magnitude of the reciprocal-lattice vector and the maximum d spacing.