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Energy of a gamma particle

  1. Apr 27, 2015 #1
    1. The problem statement, all variables and given/known data

    Fluorine-18 is an isotope of fluorine often used in positron emission tomography, as it undergoes beta negative decay.
    1. a) Determine the decay equation for fluorine-18.

    2. b) If the positron emitted collides with an electron, it annihilates the electron and emits 2 gamma particles in the opposite direction. Determine the energy that one gamma particle has as a result of this collision. m(electron/positron) = 0.000549 u
    2. Relevant equations
    E=mc^2

    3. The attempt at a solution

    1) 189F---->188O+e-1

    2) Im not too sure about this one. Im assuming it has something to do with e=mc^2 but I'm not sure how to approach it
     
  2. jcsd
  3. Apr 27, 2015 #2

    SteamKing

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    There's a couple of inconsistencies in the stated problem and your solution:

    1) If fluorine-18 is used in PET, shouldn't it give off beta+ particles (positrons) instead of beta- particles (electrons)?

    2) This is not how a beta decay reaction works:
    189F---->188O+e-1

    http://en.wikipedia.org/wiki/Beta_decay
     
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