Intensity statistics: Difference between revisions

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(New page: please link this text to Centric and acentric reflections which already has formulas and plots. Or (better) move some of that stuff here.)
 
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please link this text to [[Centric and acentric reflections]] which already has formulas and plots. Or (better) move some of that stuff here.
== Intensity statistics of twinned vs non-twinned vs pseudo-translation datasets ==
=== Question on CCP4BB (slightly edited): ===
 
The data I am working on has a strong translation vector (this can be found out e.g. using [http://www.ccp4.ac.uk/dist/html/sfcheck.html sfcheck]).
 
On the cumulative intensity distribution plot, the theoretical and observed curves do not overlap. I did "detect_twinning" from CNS, and there is the
result:
 
  <|I|^2>/(<|I|>)2  = 3.2236 (2.0  for untwinned, 1.5  for twinned)
  (<|F|>)2/<|F|^2>  = 0.6937 (0.785 for untwinned, 0.865 for twinned)
 
What does this mean?
 
=== Answer (slightly edited): ===
A normal data set has a unimodal intensity distribution with a predictable shape (for formulas and plots, see [[Centric and acentric reflections]]). When there is [[twinning]] the distribution remains unimodal but becomes sharper and this is picked up in the twinning analysis. When there is [[pseudo-translation|pseudo-translational]] symmetry, as you indicate you have, then the intensity distribution becomes bimodal with one set of reflections systematically strengthened and another systematically weakened. This makes the whole distribution broader, just the opposite of what twinning does, and therefore shows up as "negative twinning" in the analysis.
 
== Mean intensity as a function of resolution ==
 
Please see [[Wilson plot]].

Latest revision as of 10:24, 24 March 2012

Intensity statistics of twinned vs non-twinned vs pseudo-translation datasets[edit | edit source]

Question on CCP4BB (slightly edited):[edit | edit source]

The data I am working on has a strong translation vector (this can be found out e.g. using sfcheck).

On the cumulative intensity distribution plot, the theoretical and observed curves do not overlap. I did "detect_twinning" from CNS, and there is the result:

 <|I|^2>/(<|I|>)2  = 3.2236 (2.0   for untwinned, 1.5   for twinned)
 (<|F|>)2/<|F|^2>  = 0.6937 (0.785 for untwinned, 0.865 for twinned)

What does this mean?

Answer (slightly edited):[edit | edit source]

A normal data set has a unimodal intensity distribution with a predictable shape (for formulas and plots, see Centric and acentric reflections). When there is twinning the distribution remains unimodal but becomes sharper and this is picked up in the twinning analysis. When there is pseudo-translational symmetry, as you indicate you have, then the intensity distribution becomes bimodal with one set of reflections systematically strengthened and another systematically weakened. This makes the whole distribution broader, just the opposite of what twinning does, and therefore shows up as "negative twinning" in the analysis.

Mean intensity as a function of resolution[edit | edit source]

Please see Wilson plot.