Alpha particle in a force field depiction

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Discussion Overview

The discussion revolves around the depiction of an alpha particle in a force field, specifically its interaction with a positively charged nucleus as illustrated in a schematic from an advanced physics textbook. Participants explore the geometry of the particle's trajectory and the angles involved in its deflection.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant requests clarification on the schematic, asking for details about the image and the significance of the fraction involving pi.
  • Another participant asks for a reference to the textbook to provide context for the discussion.
  • A participant explains that as the alpha particle approaches the nucleus, it is repelled, resulting in a deflection angle denoted as ##\theta##. They describe the geometric relationship where the sum of the angles, including the fraction, equals ##\pi##.
  • The same participant elaborates on the symmetry of the particle's trajectory concerning the dashed line, indicating that the angles on either side of the closest approach line are equal, each being half of ##\pi-\theta##.

Areas of Agreement / Disagreement

Participants present similar explanations regarding the geometry of the alpha particle's trajectory, but there is no consensus on the initial request for clarification about the schematic, as it remains unaddressed.

Contextual Notes

The discussion does not provide specific definitions or assumptions regarding the terms used, and the reference to the textbook remains unspecified, which may limit understanding for those unfamiliar with the context.

Who May Find This Useful

This discussion may be of interest to students and enthusiasts of advanced physics, particularly those studying particle interactions and geometric interpretations in force fields.

hawkslime
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TL;DR
Can someone give me an explanation of the below picture, please?
Hello, I was glazing through what I would consider an advanced physics textbook and I saw this image. It is a schematic picture of an alpha-particle in a field of an atom.

Now, can someone get me started on what (and why and how) is going on in it? Especially with the fraction with pi.

20200721_190744.jpg
 
Physics news on Phys.org
Welcome to PF.
Can you please give a reference; Title; Author; ISBN; Page number.
 
The alpha particle approaches a positively charged nucleus, it is repelled and its path is deflected by an angle ##\theta##. The rest is just geometry. The sum of the two angles with the fraction is ##\pi-\theta## because these two plus the ##\theta## angle must add up to ##\pi##. The dashed line is going through the point of closest approach. The particle trajectory is symmetric with respect to that line, so both sides of it have half of the ##\pi-\theta## angle.
 
mfb said:
The alpha particle approaches a positively charged nucleus, it is repelled and its path is deflected by an angle ##\theta##. The rest is just geometry. The sum of the two angles with the fraction is ##\pi-\theta## because these two plus the ##\theta## angle must add up to ##\pi##. The dashed line is going through the point of closest approach. The particle trajectory is symmetric with respect to that line, so both sides of it have half of the ##\pi-\theta## angle.
Thank you.
 

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