Rutherford Scattering (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

Reviewed by: Tim

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Rutherford scattering

  • 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

  • Rutherford passed beams of alpha particles through a thin sheet of gold foil to investigate:

    • 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

An alpha source directs particles at thin gold foil, 10⁻⁶ metres thick, inside a vacuum. A detector moves around it to record undeflected and deflected particle paths.
Alpha particles are fired at thin gold foil in a vacuum, and a movable detector counts them at each angle

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

α-particles approach atoms. Most pass straight through (path A), some are deflected through small angles (path B), and a very small number rebound backwards (path C).
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

An atom with negative electrons on blue orbital paths around a small, positively charged nucleus. Labels give the nucleus diameter as 10 to the minus 15 metres and the atom diameter as 10 to the minus 10 metres.
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 n of α-particle incident per unit time on a detector held at various angles θ.

Alpha particles travel horizontally into thin gold foil, while a detector rotates around it. The scattering angle θ is measured from 0 degrees, with positions marked +90, −90, +170 and −170 degrees.

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

Four line graphs of detector count rate n against scattering angle θ from 0 to 90 degrees. Graph A drops sharply then gradually, Graph B decreases smoothly, Graph C rises sharply, and Graph D decreases linearly to zero.

[1]

Answer:

  • The Rutherford scattering experiment 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 [1 mark]

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Katie M

Author: Katie M

Expertise: Curriculum Expert

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.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.