Sarahisme Posted May 1, 2006 Share Posted May 1, 2006 Hi all. i can't quite figure out how to modify the equation for this alpha particle decay stuff....any ideas ? i think i need to modify this equation: anyway, help would be great! thanks guys & gals Sarah Link to comment Share on other sites More sharing options...
swansont Posted May 1, 2006 Share Posted May 1, 2006 EG is the energy of the ground state? You have the tunneling probability for one strike against a barrier. If you have the energy of the alpha, you should be able to calculate how often it hits the barrier, and get the total probability of tunneling. You can use the U-235 data to fix one parameter of your equation, and then estimate the Pu-239 half-life. Link to comment Share on other sites More sharing options...
Sarahisme Posted May 1, 2006 Author Share Posted May 1, 2006 oh E_G is Gamow energy Link to comment Share on other sites More sharing options...
Sarahisme Posted May 1, 2006 Author Share Posted May 1, 2006 EG is the energy of the ground state? You have the tunneling probability for one strike against a barrier. If you have the energy of the alpha' date=' you should be able to calculate how often it hits the barrier, and get the total probability of tunneling. You can use the U-235 data to fix one parameter of your equation, and then estimate the Pu-239 half-life.[/quote'] but don't i have to change the equation because the current equation contains mu, which is the reduced mass? sorry i should dexplain, ...initially this equation was for two protons colliding and possible fusing... Link to comment Share on other sites More sharing options...
swansont Posted May 1, 2006 Share Posted May 1, 2006 I think what you need is an equation that gives you the probability of tunneling through a barrier. (like this) Link to comment Share on other sites More sharing options...
Sarahisme Posted May 2, 2006 Author Share Posted May 2, 2006 hmm i am getting confused... ok lets start from the begining.... we are given that [math] \lambda = v \rho [/math] then i think i need to somehow manipulate the equation in my first post...hmmmmm Link to comment Share on other sites More sharing options...
Sarahisme Posted May 2, 2006 Author Share Posted May 2, 2006 i am thinking that its something to do with this but this involves 3D stuff, so i think i need to simplify it down...yeah? Link to comment Share on other sites More sharing options...
swansont Posted May 2, 2006 Share Posted May 2, 2006 That looks more like an equation for a potential well; you can probably do a 1-D model of it. Link to comment Share on other sites More sharing options...
Sarahisme Posted May 3, 2006 Author Share Posted May 3, 2006 how do i work out the Z number for U-235 and Pu-239? Link to comment Share on other sites More sharing options...
swansont Posted May 3, 2006 Share Posted May 3, 2006 That should be trivial to look up, but since I'm here: U has 92 protons, Pu has 94 and the alpha has two. Link to comment Share on other sites More sharing options...
Sarahisme Posted May 5, 2006 Author Share Posted May 5, 2006 k thanks, i got it now! thanks for all your help btw! Link to comment Share on other sites More sharing options...
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