Alpha & Beta Decay (AQA AS Physics)

Revision Note

Katie M

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Katie M

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α & β Decay Equations

  • When nuclei are unstable, they can become more stable through the process of radioactive decay
  • Three of the most common decay mechanisms are:
    • Alpha decay
    • Beta-minus decay
    • Beta-plus decay

Alpha Decay

  • Alpha decay is common in large, unstable nuclei with too many nucleons (protons and neutrons)
  • The decay involves a nucleus emitting an alpha particle and decaying into a different nucleus
  • An alpha particle consists of 2 protons and 2 neutrons
    • This is equivalent to a helium nucleus

Alpha decay diagram, downloadable AS & A Level Physics revision notes

During alpha decay, a parent nucleus becomes a daughter nucleus by emitting an alpha particle (helium nucleus)

  • When an unstable nucleus (the parent nucleus) emits radiation, the constitution of its nucleus changes
  • As a result, the isotope will change into a different element (the daughter nucleus)
  • Alpha decay can be represented by the following radioactive decay equation:

Alpha decay equation, downloadable IGCSE & GCSE Physics revision notes

  • When an alpha particle is emitted from a nucleus:
    • The nucleus loses 2 protons: proton number decreases by 2
    • The nucleus loses 4 nucleons: nucleon number decreases by 4

Beta-Minus Decay

  • A beta-minus, β-, particle is a high energy electron emitted from the nucleus
  • β- decay is when a neutron turns into a proton emitting an electron and an anti-electron neutrino

Beta minus decay diagram, downloadable AS & A Level Physics revision notes

During beta-minus decay, a neutron in a parent nucleus becomes a proton in a daughter nucleus by emitting a beta-minus particle (an electron) and an anti-electron neutrino

  • When a β- particle is emitted from a nucleus:
    • The number of protons increases by 1: proton number increases by 1
    • The total number of nucleons stays the same: nucleon number remains the same

 Beta minus decay equation, downloadable AS & A Level Physics revision notes

  • The new nucleus formed from the decay is called the “daughter” nucleus (nitrogen in the example above)

Beta-Plus Decay

  • A beta-plus, β+, particle is a high energy positron emitted from the nucleus
  • β+ decay is when a proton turns into a neutron emitting a positron (anti-electron) and an electron neutrino

Beta plus decay diagram, downloadable AS & A Level Physics revision notes

During beta-plus decay, a proton in a parent nucleus becomes a neutron in a daughter nucleus by emitting a beta-plus particle (a positron) and an electron neutrino

  • When a β+ particle is emitted from a nucleus:
    • The number of protons decreases by 1: proton number decreases by 1
    • The total number of nucleons stays the same: nucleon number remains the same

Beta plus decay equation, downloadable AS & A Level Physics revision notes

Worked example

The radioactive nucleus Rn presubscript 86 presuperscript 222 undergoes alpha decay into a daughter nucleus Po.

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(a)
Which letter in the diagram represents the daughter product?
(b)
What is the nucleon number and proton number of Po?
 

(a)  Answer:  C

  • The number of neutrons in Rn presubscript 86 presuperscript 222 is 222 − 86 = 136
  • In alpha decay, the parent nucleus loses a helium nucleus (2 protons, 2 neutrons)
    • Proton number: 86 decreases to 84
    • Neutron number: 136 decreases to 134

kIpBjj3K_5-3-3-alpha-decay-worked-example-ans

  • Therefore, the correct answer is C

(b)

  • The equation for alpha decay is as follows:

e05oI0O__5-3-3-alpha-decay-worked-example-ans-1

  • Hence the daughter nucleus Po has
    • Nucleon number = 222 − 4 = 218
    • Proton number = 86 − 2 = 84

Worked example

A radioactive substance with a nucleon number of 212 and a proton number of 82 decays by β-plus emission into a daughter product which further decays by β-plus emission into a granddaughter product.

wwRIfc8V_5-3-3-beta-emission-worked-example

Which letter in the diagram represents the granddaughter product?

Answer:  A

  • The number of neutrons in the parent nucleus is 212 − 82 = 130
  • In beta-plus decay, a proton turns into a neutron
    • Proton number: 82 decreases to 80
    • Neutron number: 130 increases to 132

zPDKmJbN_5-3-3-beta-emission-worked-example-ans

  • Therefore, the correct answer is A

Examiner Tip

Remember to avoid the common mistake of confusing the number of neutrons with the nucleon number. In alpha decay, the nucleon (protons and neutrons) number decreases by 4 but the number of neutrons only decreases by 2.

Neutrino Emission

  • An electron neutrino is a type of subatomic particle with no charge and negligible mass which is also emitted from the nucleus
  • The anti-neutrino is the antiparticle of a neutrino
    • Electron anti-neutrinos are produced during β– decay
    • Electron neutrinos are produced during β+ decay

Neutrino Emission, downloadable AS & A Level Physics revision notes

  • Although the neutrino has no charge and negligible mass, its existence was hypothesised to account for the conservation of energy in beta decay
  • When the number of α particles is plotted against kinetic energy, there are clear spikes that appear on the graph
  • This demonstrates that α-particles have discrete energies (only certain values)

 Alpha and beta energy graphs, downloadable AS & A Level Physics revision notes

Alpha particles have discrete energy levels whilst beta particles have a continuous range of energies

  • When the number of β particles is plotted against kinetic energy, the graph shows a curve
  • This demonstrates that beta particles (electrons or positrons) have a continuous range of energies
  • This is because the energy released in beta decay is shared between the beta particles (electrons or positrons) and neutrinos (or anti-neutrinos)
  • This was one of the first clues of the neutrino’s existence
  • The principle of conservation of momentum and energy applies in both alpha and beta emission

Examiner Tip

One way to remember which particle decays into which depends on the type of beta emission, think of beta ‘plus’ as the ‘proton’ that turns into the neutron (plus an electron neutrino)

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Katie M

Author: Katie M

Expertise: Physics

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.