Understanding Rutherford's Alpha Scattering Experiment

In summary, the alpha particles scatter because the electrostatic force between the +ve alpha particles and the +ve nucleii is repulsive. If the metal nucleii were of similar mass to the alphas, then the alphas would not reach the nucleus.
  • #1
DJ-Smiles
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Homework Statement


Hey I am revising for my physics test and am having a bit of trouble understanding rutherford's alpha scattering experiment. My teacher gave us a powerpoint but it does not seem to help me, more so it confuses me. I am a good physics student and not understanding this is hard for me.

If you could help me by answering these questions I would be ecstatic, thanks in advance guys:

why do alpha particles scatter?
- How do they scatter?
- force involved?
- how this force works?
- what if the metal wasn't gold?
-would this have an affect?

If you want to throw in some things you think might help I am willing to give anything a try, thanks again
 
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  • #2
why do alpha particles scatter?
repulsive electrostatic forces between the +ve alpha particles and the +ve nucleii

- How do they scatter?
repulsive electrostatic forces between the +ve alpha particles and the +ve nucleii

- force involved?
repulsive electrostatic forces between the +ve alpha particles and the +ve nucleii

- how this force works?
the electrostatic forces between the +ve alpha particles and the +ve nucleii are repulsive

- what if the metal wasn't gold?
-would this have an affect?
Most metals are significantly more massive than alphas. Rutherford assumed the gold nucleii were essentially fixed. Of course, if the metal nucleii are of similar mass to the alphas then that doesn't hold true any more. If you shine alphas on to beryllium, for example, you'll end up with a stream of neutrons coming out of the metal!

If you want to throw in some things you think might help I am willing to give anything a try,

just remember that repulsive electrostatic forces between the +ve alpha particles and +ve nucleii results in scattering (called 'Coulomb scattering' as it is the 'Coulombic' force... did I mention that is the electrostatic force :smile: )
 
  • #3
thanks a lot for that i needed it. I can't believe its all because of the same force. I didnt really understand the bit about the metals though. Is it that if the metal he used was more proton rich there would be greater deflection angles and less proton, smaller deflection? because i used an applet just before and it appeared that as the number of protons decreases so does the deflection angles
 
  • #4
The comment on the different metals was to do with the atomic mass - it is like a ping-pong ball hitting a bowling ball, it'll just bounce off. But if it were another ping pong ball then both would shoot off from the collision point.

I'd expect the electric field around a naked gold nucleus would, indeed, be stronger. However, it is strong enough around any nucleus that the alphas would not reach the nucleus (unless* they have enough energy to penetrate the Coulomb barrier - an MeV at least, in the case of gold that'd be many many MeV I am sure)

*[- or if there is some quantum tunnelling event, but I'll not complicate this answer with that]

However, in real life you'd also contend with the fact that the alpha is flying through an electron soup before it reaches the nucleus, and the fewer protons the fewer electrons. I confess I've not crunched those numbers or thought about it much, so I'm not sure enough to comment on what the variations of results would be if you used a metal foil of different atomic mass.
 
  • #5
ok i get it now thanks again
 

1. What is Rutherford scattering?

Rutherford scattering is a phenomenon observed when a beam of particles, typically alpha particles, is directed towards a thin foil. The particles are scattered in various directions due to interactions with the positively charged nucleus of the atoms in the foil.

2. How did Rutherford use scattering to discover the atomic structure?

Rutherford used the results of his scattering experiments to propose the nuclear model of the atom. By observing the pattern of deflected particles, he concluded that atoms have a small, dense, positively charged nucleus at the center, surrounded by negatively charged electrons.

3. What is the significance of Rutherford scattering in modern physics?

Rutherford scattering played a crucial role in understanding the structure of atoms and paved the way for the development of quantum mechanics. It also led to the discovery of the atomic nucleus and the subatomic particles within it.

4. How does the scattering angle depend on the incident particle's energy?

The scattering angle is directly proportional to the incident particle's energy. This means that as the energy of the particles increases, the scattering angle also increases, resulting in a wider spread of the scattered particles.

5. What is the formula for calculating the scattering angle in Rutherford scattering?

The formula for calculating the scattering angle in Rutherford scattering is θ = 2arctan(q/4πε0Er0), where q is the charge of the particle, ε0 is the permittivity of free space, E is the incident particle's energy, and r0 is the radius of the scattering target.

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