Historically, R-factors were introduced by ...

Definitions

Data quality indicators

  • Rsym and Rmerge : the formula is

[math]\displaystyle{ R_{merge} = \frac{\sum_{hkl}\vert I_{hkl}-\langle I_{hkl}\rangle\vert}{\sum_{hkl}I_{hkl}} }[/math]

[math]\displaystyle{ R=\frac{\sum_{hkl_{unique}}\vert F_{hkl}^{(obs)}-F_{hkl}^{(calc)}\vert}{\sum_{hkl_{unique}} F_{hkl}^{(obs)}} }[/math]

  • Redundancy-independant version of the above: Rmeas
  • measuring quality of averaged intensities/amplitudes: Rp.i.m. and Rmrgd-F

Model quality indicators

  • R and Rfree : the formula is (LaTex please )

what do R-factors try to measure, and how to interpret their values?

  • relative deviation of

Data quality

  • typical values: ...

Model quality

what kind of problems exist with these indicators?

- (Rsym / Rmerge ) should not be used, Rmeas should be used instead (explain why ?)

- R/Rfree and NCS: reflections in work and test set are not independant