Relation between cross section, scattering angle and KE?

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Discussion Overview

The discussion revolves around the relationship between cross section, scattering angle, and kinetic energy, specifically in the context of Rutherford scattering involving alpha particles and gold atoms. Participants explore the mathematical derivation of this relationship while addressing practical exercises.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant seeks to derive an equation relating cross section, scattering angle, and kinetic energy, noting the units involved.
  • Another participant inquires about the experimental setup, specifically whether particles are being shot at a spherical target.
  • A participant confirms the setup involves shooting alpha particles at gold atoms, identifying it as Rutherford scattering.
  • Another participant suggests that there are numerous resources available online for formulas related to Rutherford scattering cross section and encourages the original poster to attempt applying one of those formulas to their exercises.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a specific equation or derivation, and the discussion remains unresolved regarding the relationship sought by the original poster.

Contextual Notes

The discussion lacks specific assumptions or definitions that may be necessary for deriving the relationship, and participants do not clarify which version of the formulas they are referring to.

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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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