Rutherford Backscattering Experiment

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SUMMARY

The Rutherford backscattering experiment utilized alpha particles (Z=2) at approximately 7 MeV to bombard a gold (Au, Z=79) film. Rutherford's success stemmed from using an extremely thin foil and a target nucleus significantly heavier than the incident alpha particles, allowing for accurate predictions of scattering behavior. Deviations from the Rutherford scattering formula occur when the foil thickness increases or when the masses of the target nucleus and incident alpha particles become comparable, leading to more complex ion-solid interactions. The experiment historically confirmed the existence of the atomic nucleus, demonstrating that most of the foil's mass is concentrated rather than evenly distributed.

PREREQUISITES
  • Understanding of alpha particle properties and behavior
  • Familiarity with atomic structure and atomic numbers
  • Knowledge of ion-solid interaction principles
  • Basic grasp of scattering theory and formulas
NEXT STEPS
  • Study the principles of ion-solid interactions in greater detail
  • Explore advanced scattering theories beyond Rutherford's model
  • Investigate the historical context and implications of the Rutherford experiment
  • Learn about modern applications of backscattering techniques in materials science
USEFUL FOR

Physics students, researchers in nuclear physics, and anyone interested in the historical significance and applications of scattering experiments in understanding atomic structure.

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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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