Relation between cross section, scattering angle and KE?

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594
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I'm trying to figure our the relation between cross section, scattering angle and KE?

I'm doing a few exercises where I've been given kientic energy and scattering angle and have to calculate the cross section. Cross section is in units of Barns (m2), and KE is 1/2 kg*m2*s-2, but I can't seem to derive an equation. Any help would be much appreciated.
 

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What is the set up? Are you shooting particles at a spherical target?
 
594
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Yes. Shooting alpha particles at a gold atom. It's Rutherford Scattering.
 
jtbell
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There must be thousands of web pages with formulas for the Rutherford scattering cross section, and derivations of them, if it's not in your textbook:

https://www.google.com/search?q=rutherford+scattering+cross+section

Are you having trouble trying to apply some version of those formulas? If so, I suggest you choose one, make an attempt at the solution to one of your exercises, and then post in one of our homework forums for help.
 

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