Alpha, Beta & Gamma Particles (DP IB Physics: SL): Revision Note

Katie M

Written by: Katie M

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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:

    • proton number increases by 1

    • 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:

    • proton number decreases by 1

    • 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:

    • proton number remains the same

    • 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

Examiner Tips and Tricks

Avoid the common mistake of confusing the number of neutrons with the nucleon number. In alpha decay, the nucleon number (A) decreases by 4 and the proton number (Z) decreases by 2. This is because an alpha particle is made up of 2 neutrons and 2 protons.

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

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Katie M

Author: Katie M

Expertise: Physics Content Creator

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.