1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Rutherford's formula

  1. Jan 23, 2013 #1
    1. The problem statement, all variables and given/known data
    Explain why the scattering of [itex]\alpha[/itex] particles at very small angles disagree with the Rutherford formula.


    2. Relevant equations
    N/A


    3. The attempt at a solution
    I find resources from webs and get some information about the failure of Rutherford's formula. It occurs only at the distance of closest approach being less than the diameter of the nucleus and this can happen if (a) the angle of scatter is large or (b) the energy of the particle is large enough, which is on the contrary of the problem statement.

    I am thinking the problem statement is wrong.
    Could anyone help me?
    Regards.
     
  2. jcsd
  3. Jan 23, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    My guess: Very small angles can correspond to very large distances, and then you have electrons to consider, shielding the charge of the nuclei.
     
  4. Jan 23, 2013 #3

    rude man

    User Avatar
    Homework Helper
    Gold Member

    If you had said "very large scattering angles I would have an answer - at very close distances (~10-14m) the nuclear attraction force subtracts from the Coulomb repulsion force. But I have never heard a problem with the formula for small scattering angles.

    Did the statement tell whether the small-angle probabilities are smaller or larger than what the formula predicts?

    EDIT: electrons cannot play a part in this because they are so much lighter thsn the alpha particles that they could never get close enough to the alpha particles to cause the latter to veer any appreciable distance (conservation of linear momentum).

    EDIT EDIT: I did run across a presentation where the scattering atom's electron cloud can affect the path of the bombarding particle, but this particle had its own electron cloud. I assume alpha particles have no electrons & therefore no electron cloud of their own.
     
    Last edited: Jan 23, 2013
  5. Jan 23, 2013 #4
    No, the statement here is the only statement I met in the question paper.
    This is why I think the statement were wrong.
    Thank you!
     
  6. Jan 23, 2013 #5

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I'd agree with mfb. The Rutherford formula assumes a bare nucleus. The electrons will screen the central charge at low scattering angles.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Rutherford's formula
  1. Rutherford scattering (Replies: 10)

  2. Rutherford Experiment (Replies: 1)

Loading...