Syllabus Edition

First teaching 2023

First exams 2025

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Rutherford's Gold Foil Experiment (HL IB Physics)

Revision Note

Katie M

Author

Katie M

Expertise

Physics

Rutherford's Gold Foil Experiment

  • Evidence for the structure of the atom was discovered by Ernest Rutherford at the beginning of the 20th century from the study of alpha particle scattering
  • The experiment consisted of beams of high-energy alpha particles fired at thin gold foil and a detector on the other side to determine
    • The different angles of deflection of the alpha particles
    • The number of alpha particles that were deflected at each angle

Apparatus for the Rutherford Scattering Experiment

  • The setup for the scattering experiment consisted of:
    • A source of alpha particles in a lead container
    • A thin sheet of gold foil
    • A movable detector 
    • An evacuated chamber

Alpha particle experiment diagram, downloadable AS & A Level Physics revision notes

Experimental set up for α-particle scattering

Purpose of the lead container

  • Alpha particles are emitted in all directions, so the source was placed in a lead container
  • This was to produce a collimated beam of alpha particles
  • This is because alpha particles are absorbed by lead, so a long narrow hole at the front allowed a concentrated beam of alpha particles to escape and be directed as needed

Purpose of the thin sheet of gold foil

  • The target material needed to be extremely thin, about 10−6 m thick
  • This is because a thicker foil would stop the alpha particles completely
  • Gold was chosen due to its malleability, meaning it was easy to hammer into thin sheets

Purpose of the evacuated chamber

  • Alpha particles are highly ionising, meaning they only travel about 5 cm before interacting with molecules of air
  • So, the apparatus was placed in an evacuated chamber
  • This was to ensure that the alpha particles did not collide with any particles on their way to the foil target

Findings from the Rutherford Scattering Experiment

  • An alpha (α) particle is the nucleus of a helium atom, so it has a positive charge

Alpha particle scattering, downloadable AS & A Level Physics revision notes

When α-particles are fired at thin gold foil, most of them go straight through but a small number bounce straight back

  • The observations from Rutherford's experiment were:

A. The majority of α-particles passed straight through the foil undeflected

    • This suggests the atom is mostly empty space

B. Some α-particles deflected through small angles of <10°

    • This suggests there is a positive nucleus at the centre (since two positive charges would repel)

C. Only a small number of α-particles deflected straight back at angles of >90°

    • This suggests the nucleus is extremely small and is where most of the mass and charge of the atom are concentrated
    • This led to the conclusion that atoms consist of small, dense positively charged nuclei surrounded by negatively charged electrons

Atomic Structure, downloadable AS & A Level Physics revision notes

An atom: a small positive nucleus, surrounded by negative electrons

  • (Note: The atom is around 100,000 times larger than the nucleus!)

Worked example

In an α-particle scattering experiment, a student set up the apparatus below to determine the number of α-particles, n, incident per unit time on a detector held at various angles θ.

WE - Rutherford scattering question image 1, downloadable AS & A Level Physics revision notes

Which of the following graphs best represents the variation of n with θ from 0 to 90°?

WE - Rutherford scattering question image 2, downloadable AS & A Level Physics revision notes

Answer:   A

  • The Rutherford scattering experience directed parallel beams of α-particles at gold foil
  • The observations were:
    • Most of the α-particles went straight through the foil
    • The largest value of n will therefore be at small angles
    • Some of the α-particles were deflected through small angles
    • n drops quickly with increasing angle of deflection θ
  • These observations fit with graph A

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Katie M

Author: Katie M

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.