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Homework Help: Lawson Parameter for Sustained Deuterium-Deuterium Fusion

  1. Mar 19, 2013 #1
    1. The problem statement, all variables and given/known data

    Calculate the minimum Lawson parameter for sustained deuterium-deuterium fusion in a plasma with an energy of 10 keV.

    2. Relevant equations

    The Lawson parameter is given as $$ n \tau > \frac{12 k T}{<\sigma v> Q} $$

    where [itex]\sigma[/itex] is the fusion cross-section.

    3. The attempt at a solution

    I think that Q for d-d reaction is 4 MeV when a proton is produced and 3.3 MeV when a neutron is produced so I assume for the minimum Lawson parameter I should use the larger value of 4 MeV?

    Also if the energy of the plasma is 10 MeV should I use this to calculate the temperature of the reaction [itex]T[/itex] using [itex] \frac{3}{2} k T [/itex] or somehow the velocity [itex]v[/itex] using [itex] \frac{1}{2} m v^2 [/itex]?
    Last edited: Mar 19, 2013
  2. jcsd
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