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Obtaining range from bethe-bloch formula

  1. Dec 26, 2009 #1
    While studying particle physics, i saw that the range formula is the integration dE/(dE/dx) but as you know that there are no variable E in the formula. how could that integration be done?

    well i think we can do it by ourselves and we must use a programming language and i think the trapezoidal rule would be useful to solve that.

    But i could not find out how could that integration be done please help me. thank you
     
  2. jcsd
  3. Dec 26, 2009 #2

    Vanadium 50

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    But there is a velocity. From velocity you can get energy.
     
  4. Dec 26, 2009 #3
    Look at Equation (1) and Figure 1 in
    http://beamdocs.fnal.gov/DocDB/0010/001068/001/A%20tutorial%20on%20beam%20loss%20monitoring.pdf [Broken]
    Eq (1) is the Bethe Bloch energy loss equation for protons. The independent variable is β. The integrated range is obtained by iteration of

    dx = dE/[dE/dx]
    E=E-dE
    x=x+dx
    etc.

    Bob S
     
    Last edited by a moderator: May 4, 2017
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