Relation between cross section, scattering angle and KE?

AI Thread Summary
The discussion focuses on understanding the relationship between cross section, scattering angle, and kinetic energy in the context of Rutherford scattering. The user is attempting to calculate the cross section given kinetic energy and scattering angle but struggles to derive the necessary equation. It is confirmed that the scenario involves shooting alpha particles at a gold atom. Participants suggest looking for existing formulas related to Rutherford scattering and recommend attempting a specific exercise before seeking further help. The conversation emphasizes the importance of applying established formulas to solve the problem effectively.
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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?
 
Yes. Shooting alpha particles at a gold atom. It's Rutherford Scattering.
 
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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