Syllabus Edition

First teaching 2023

First exams 2025

|

Alpha, Beta & Gamma Particles (SL IB Physics)

Revision Note

Katie M

Author

Katie M

Expertise

Physics

Alpha, Beta & Gamma Decay

  • Some isotopes of elements are unstable
    • This can happen when a nucleus has an imbalance of protons and neutrons or too much energy
  • To become more stable, a nucleus can emit particles or radiation by the process of radioactive decay
  • The three main types of radioactive particle or radiation are:
    • Alpha particles
    • Beta particles
    • Gamma radiation

Alpha Particles

  • An alpha (α) particle is a high-energy helium nucleus
    • It contains 2 protons and 2 neutrons
    • It has a mass of 4u and a charge of +2e
  • The nuclear notation for an alpha particle is:

Alpha particle, downloadable AS & A Level Physics revision notes

Nuclear notation for an alpha particle (a helium nucleus)

  • Alpha particles are usually emitted by large, unstable nuclei with too many nucleons (protons and neutrons)
  • When an unstable nucleus decays, its composition changes
  • 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
  • As there is a change in proton number, the parent nucleus is a different element to the daughter 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)

Beta-Minus Decay

  • A beta-minus (β) particle is a high-energy electron
    • It has a mass of 0.0005u and a charge of −1e
  • The nuclear notation for a beta-minus particle is:

6-9-2-beta-particle_ocr-al-physics

  • Beta-minus particles are usually emitted by unstable nuclei with too many neutrons
  • Beta-minus decay is when a neutron turns into a proton and emits an electron and an anti-electron neutrino
  • Electrons have a proton number of −1, so overall:
    • The proton number increases by 1
    • The nucleon number remains the same

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

Beta-minus decay often happens in unstable nuclei that have too many neutrons. The nucleon number stays the same, but the proton number increases by one

Beta-Plus Decay

  • A beta-plus (β+) particle is a high-energy positron
    • It is the antimatter particle of the electron
    • It has a mass of 0.0005u and a charge of +1e
  • The nuclear notation for a beta-minus particle is:

5P5KyNSq_beta-plus-particle

  • Beta-plus particles are usually emitted by unstable nuclei with too many protons
  • Beta-plus decay is when a proton turns into a neutron and emits a positron and an electron neutrino
  • Positrons have a proton number of +1, so overall:
    • The proton number decreases by 1
    • The nucleon number remains the same

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

Beta-plus decay often happens in unstable nuclei that have too many protons. The nucleon number stays the same, but the proton number decreases by one

Gamma Radiation

  • Gamma (γ) rays are a type of high-energy electromagnetic radiation
  • They are emitted by nuclei that need to lose some energy
  • The nuclear notation for gamma radiation is:

Gamma particle, downloadable AS & A Level Physics revision notes

Nuclear notation for gamma rays

  • Gamma particles are photons, so they have a proton number of 0, so overall:
    • The proton number remains the same
    • The nucleon number remains the same

Worked example

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

_ja4j1Ku_5-3-3-alpha-decay-worked-example

(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

Exam 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.

To remember which type of beta emission occurs, try to think of beta ‘plus’ as the ‘proton’ that turns into the neutron (plus an electron neutrino)

Properties of Alpha, Beta & Gamma

  • Alpha, beta and gamma radiation can be characterised by 
    • Ionising ability - a measure of the amount of ionisation caused when nuclear radiation passes through a material
    • Penetrating power - a measure of the distance nuclear radiation will travel before losing all its energy 
  • The greater the ionising ability of a type of radiation, the lower its penetrating power, and vice versa

Ionising ability

  • If any type of radiation collides with an atom, it can knock out electrons, ionising the atom
  • This can cause chemical changes in materials and damage to living cells
  • The ionising ability of radiation can be quantified by the number of ion pairs it produces per cm of air
    • Highly ionising radiation may produce 104 ion pairs per cm of air
    • Weakly ionising radiation may produce 1 ion pair per cm of air

Ionisation, downloadable AS & A Level Physics revision notes

When radiation passes close to atoms, it can knock out electrons, ionising the atom

Penetrating power

  • The distance radiation can travel before losing most, or all, of its energy, is described by its penetrating power
  • The lower the penetrating power of a type of radiation, the shorter its range in air
    • Highly ionising radiation has a low penetrating power
    • Weakly ionising radiation has a high penetrating power

Deflection in Electric and Magnetic Fields

  • When a charged particle enters an electric field it will undergo a deflection
    • Alpha particles are deflected towards the negative plate
    • Beta particles are deflected towards the positive plate
    • Gamma radiation is not deflected and travels straight through between the plates

new-forces-on-a-charged-particle

Alpha and beta particles are deflected by an electric field whereas gamma rays are not

  • When a charged particle moves in a magnetic field, it will also undergo a deflection
  • Faster-moving particles move in larger circular paths according to the equation:

B q v space equals space fraction numerator m v squared over denominator r end fraction space space space space space rightwards double arrow space space space space space r space equals space fraction numerator m v over denominator B q end fraction

  • The larger the circular path, the greater the deflection
  • The amount of deflection of a particle depends on:
    • The speed of the particle, v
    • The mass of the particle, m
    • The charge on the particle, q

Comparing Alpha, Beta & Gamma

  • The ionising abilities and penetrating powers of alpha, beta and gamma can be investigated by
    • Measuring the count rate of a radioactive source using a Geiger counter
    • Placing different materials between the source and the detector
    • Measuring the count rate again to see if the material causes a significant reduction
  • Alpha particles can be stopped by a single sheet of paper
  • Beta particles can be stopped by a few millimetres of aluminium foil
  • The intensity of gamma radiation can be reduced by several metres of concrete or several centimetres of lead

Radiation Stopping Distances, downloadable AS & A Level Physics revision notes

Alpha particles are highly ionising and easily absorbed by atoms whereas gamma radiation is highly penetrating and requires very thick lead to reduce its intensity

  • The properties of the different types of radiation are summarised in the table below:

Comparison of alpha, beta and gamma radiation

Radiation Comparison Table, downloadable AS & A Level Physics revision notes

Properties of Alpha Radiation

  • Alpha is the most ionising type of radiation
    • This is due to it having the highest charge of +2e
    • This means it produces the greatest number of ion pairs per cm in air
    • This also means it can do more damage to cells than the other types of radiation
  • Alpha is the least penetrating type of radiation
    • This means it travels the shortest distance in air before being absorbed
    • Alpha particles have a range of around 3-7 cm in air
  • Alpha particles can be deflected slightly in strong electric and magnetic fields
    • Alpha particles have the highest charge, but also the greatest mass, so their high momentum means they deflect less than a beta particle (in a given field)

Properties of Beta Radiation

  • Beta is a moderately ionising type of radiation
    • This is due to it having a charge of ±1e
    • This means it can do some slight damage to cells (less than alpha but more than gamma)
  • Beta is a moderately penetrating type of radiation
    • Beta particles have a range of around 20 cm - 3 m in air, depending on their energy
  • Beta particles can be deflected through large angles by electric and magnetic fields
    • Beta particles typically travel at much greater speeds than alpha particles, but have much less mass, so they deflect significantly more than an alpha particle (in a given field)

Properties of Gamma Radiation

  • Gamma is the least ionising type of radiation
    • This is because it is an electromagnetic wave with no charge
    • This means it produces the least number of ion pairs per cm in air
    • It can still cause damage to cells, but not as much as alpha or beta radiation. This is why it is used for cancer radiotherapy
  • Gamma is the most penetrating type of radiation
    • This means it travels the furthest distance in air before being absorbed
    • Gamma radiation has an infinite range and follows an inverse square law
  • Gamma rays are not deflected in magnetic and electric fields as they are electrically neutral
    • However, they can transfer their energy to atomic electrons which can be deflected

Worked example

Three successive radioactive decays are shown in the diagram below. Each decay results in a particle being emitted.

y3O2UYo~_5-3-3-alpha-beta-gamma-worked-example

The first decay results in the emission of a beta-minus particle.

The second decay results in the emission of an alpha particle.

The third decay results in the emission of a beta-plus particle.

What is nuclide Z?

A.       straight Z presubscript 90 presuperscript 237       B.       straight Z presubscript 92 presuperscript 233       C.       straight Z presubscript 89 presuperscript 237       D.       straight Z presubscript 90 presuperscript 233

Answer:  D

Step 1: Write the equation for the β− decay

  • A β− particle is an electron
  • The nucleon number stays the same
  • The proton number increases by 1

straight W presubscript 92 presuperscript 237 space rightwards arrow space straight X presubscript 93 presuperscript 237 space plus space straight beta presubscript 1 presuperscript 0

Step 2: Write the equation for the α decay

  • An α particle is a helium nucleus
  • The nucleon number reduces by 4
  • The proton number reduces by 2

straight X presubscript 93 presuperscript 237 space rightwards arrow space straight Y presubscript 91 presuperscript 233 space plus space straight alpha presubscript 2 presuperscript 4

Step 3: Write the equation for the β+ decay

  • A β+ particle is a positron
  • The nucleon number stays the same
  • The proton number reduces by 1

straight Y presubscript 91 presuperscript 233 space rightwards arrow space straight Z presubscript 90 presuperscript 233 space plus space straight beta presubscript plus 1 end presubscript presuperscript 0

Step 4: Determine the final nucleon Z

  • The final nucleon, Z will be:

straight Z presubscript 90 presuperscript 233

Did this page help you?

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.