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Spatial Detector accuracy

  1. Nov 30, 2011 #1
    Hi

    please forgive me if you find that this is not the correct place, but since my work is of experimental nuclear physics and I didn't find a sub.forum in math neither engineering I decide to post here.

    Here is the question:

    in any track detector, the spatial accuracy of the detector is σ=pitch/sqrt(12) where the pitch is the separation between two wires/fibers/etc, but where the sqrt(12) comes from?

    I know that should come from some statistics analysis but I have an absolute blockout.

    Thank you
     
  2. jcsd
  3. Nov 30, 2011 #2
    The uniform distribution !
    [tex]\mu = \frac{1}{b-a}\int_a^b \text{d}x\,x = \frac{a+b}{2}[/tex]
    [tex]\sigma^2 = \frac{1}{b-a}\int_a^b\text{d}x\, (x-\mu)^2 = \frac{(b-a)^2}{12}[/tex]
     
  4. Dec 2, 2011 #3
    thank you very much!!
     
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