Rutherford Backscattering Experiment

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Homework Help Overview

The discussion revolves around the Rutherford backscattering experiment, focusing on the scattering of alpha particles by a gold film. Participants are exploring the historical significance and the conditions under which the original scattering formula may not hold true.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the success of Rutherford's approach due to the use of a thin foil and the mass difference between the alpha particles and gold nuclei. Questions are raised about the historical context and implications of the experiment's results.

Discussion Status

The discussion is active, with participants providing insights into the experiment's significance and questioning aspects of the original assumptions. Some guidance has been offered regarding the historical results, but no consensus has been reached on the broader implications.

Contextual Notes

Participants are considering the limitations of Rutherford's model, particularly in scenarios involving thicker foils or comparable masses between the alpha particles and target nuclei.

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Homework Statement



In the famous “Rutherford backscattering” experiment, alpha particles (Z=2) of
approximately 7 MeV were used to bombard a Au (Z=79) film. Rutherford derived the
scattering formula by treating an incident alpha particle and a Au target atom as two point
charges with their charge numbers equal to their atomic numbers. This assumption, however,
is not accurate in describing general ion solid interactions. Explain
(a) why was Rutherford’s approach successful in his experiments?
and
(b) under what conditions deviation from Rutherford scattering formula will occur?



Homework Equations





The Attempt at a Solution



a) Rutherford’s approach was successful because he used an extremely thin foil with a target nucleus much heavier than the incident alpha particles.

b) If the foil was thicker and the target nucleus and incident alpha particle were of comparable mass, Rutherford would have observed increased ion-solid reaction types.
 
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The thin foil is certainly an important point. The heavy nucleus is something the scattering formula can take into account.

I think the question asks for something that you missed so far. What was the important historic result of the experiment? If you know the result in advance (as we do know) it might look obvious, but at that time it was unclear.
Hint:
What about electrons, for example?
 
The result was confirmation of the atomic nucleus - most of the foil's mass is concentrated and not evenly distributed.
 

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