Types of Radioactive Decay

Sitio: Young Education
Curso: Radioactive Decay
Libro: Types of Radioactive Decay
Impreso por: Guest user
Fecha: lunes, 9 de noviembre de 2026, 16:36

1. Alpha Decay

Learning outcomes
  • I can describe alpha particles.
  • I can write alpha decay equations.
  • I can determine how alpha decay changes atomic number and mass number.
  • I can explain the penetrating power of alpha radiation.
  • I can identify situations where alpha radiation is hazardous.

Alpha Decay

What Is Alpha Decay?

Alpha decay is a type of radioactive decay in which an unstable atomic nucleus emits an alpha particle.

An alpha particle contains:

  • 2 protons
  • 2 neutrons

It is therefore identical to the nucleus of a helium-4 atom.

An alpha particle can be represented as:

⁴₂He

or:

⁴₂α

Because it contains two protons, an alpha particle has an electric charge of:

+2e

where e is the elementary charge.

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6

Structure of an Alpha Particle

An alpha particle consists of four nucleons:

2 protons + 2 neutrons

Therefore:

Mass number = 4

Atomic number = 2

The mass number tells us the total number of protons and neutrons.

The atomic number tells us the number of protons.

So:

⁴₂He

means:

4 nucleons

2 protons

and therefore:

2 neutrons.


Why Alpha Decay Occurs

Alpha decay occurs mainly in very heavy, unstable nuclei.

Large nuclei contain many positively charged protons.

These protons repel one another through the electrostatic force.

The strong nuclear force holds nucleons together, but it acts only over very short distances.

In sufficiently large nuclei, the balance between these effects can make the nucleus unstable.

One way for the nucleus to become more stable is to emit an alpha particle.

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6

The Parent and Daughter Nuclei

The original radioactive nucleus is called the:

parent nucleus

After alpha decay, the remaining nucleus is called the:

daughter nucleus

The process can be represented:

parent nucleus → daughter nucleus + alpha particle

Because the alpha particle carries away two protons and two neutrons, the daughter nucleus is a different element.


What Changes During Alpha Decay?

An alpha particle contains:

  • 2 protons
  • 2 neutrons

Therefore, when a nucleus emits an alpha particle:

mass number decreases by 4

and:

atomic number decreases by 2

This gives the fundamental alpha-decay rule:

A → A − 4

Z → Z − 2

where:

  • A = mass number
  • Z = atomic number

General Alpha Decay Equation

Suppose the original nucleus is:

ᴬ_ZX

After alpha decay:

ᴬ_ZX → ᴬ⁻⁴_Z₋₂Y + ⁴₂He

where:

  • X = parent element
  • Y = daughter element
  • A = original mass number
  • Z = original atomic number

The new element must be identified using its new atomic number.


Example: Uranium-238

Uranium-238 has:

A = 238

Z = 92

During alpha decay:

Mass number:

238 − 4 = 234

Atomic number:

92 − 2 = 90

Element 90 is thorium.

Therefore:

²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He

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6

Checking the Equation

A nuclear equation must conserve:

  • mass number
  • atomic number
  • electric charge

For:

²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He

Check mass numbers:

238 = 234 + 4

238 = 238 ✓

Check atomic numbers:

92 = 90 + 2

92 = 92 ✓

The equation is balanced.


Example: Radium-226

Radium has atomic number:

Z = 88

Suppose:

²²⁶₈₈Ra → ? + ⁴₂He

Mass number of daughter:

226 − 4 = 222

Atomic number:

88 − 2 = 86

Element 86 is radon.

Therefore:

²²⁶₈₈Ra → ²²²₈₆Rn + ⁴₂He


Example: Polonium-210

Polonium has atomic number:

84

During alpha decay:

Mass number:

210 − 4 = 206

Atomic number:

84 − 2 = 82

Element 82 is lead.

Therefore:

²¹⁰₈₄Po → ²⁰⁶₈₂Pb + ⁴₂He


Example: Radon-222

Radon-222 has:

A = 222

Z = 86

After alpha decay:

A = 222 − 4 = 218

Z = 86 − 2 = 84

Element 84 is polonium.

Therefore:

²²²₈₆Rn → ²¹⁸₈₄Po + ⁴₂He


Identifying an Unknown Daughter Nucleus

Suppose:

²⁴¹₉₅Am → ? + ⁴₂He

Subtract 4 from the mass number:

241 − 4 = 237

Subtract 2 from the atomic number:

95 − 2 = 93

Element 93 is neptunium.

Therefore:

²⁴¹₉₅Am → ²³⁷₉₃Np + ⁴₂He


Identifying an Unknown Parent

Sometimes the daughter nucleus is given instead.

Suppose:

? → ²²²₈₆Rn + ⁴₂He

Add the mass numbers:

222 + 4 = 226

Add the atomic numbers:

86 + 2 = 88

Element 88 is radium.

Therefore:

²²⁶₈₈Ra → ²²²₈₆Rn + ⁴₂He


Alpha Decay Changes the Element

The identity of an element depends on its:

number of protons

Since alpha decay removes two protons, the atomic number decreases by two.

Therefore, alpha decay always changes one element into another.

For example:

uranium → thorium

radium → radon

polonium → lead

This process is called:

nuclear transmutation


Conservation in Nuclear Equations

Nuclear equations can be checked using conservation laws.

For introductory alpha-decay equations, check that both sides have the same total:

Mass number

Total number of nucleons is conserved.

Atomic number

Total proton number/charge number is conserved.

For example:

²¹⁰₈₄Po → ²⁰⁶₈₂Pb + ⁴₂He

Mass:

210 = 206 + 4

Atomic number:

84 = 82 + 2

Both balance.


Alpha Particle Properties

Alpha particles have several important properties.

Property Alpha Particle
Composition 2 protons + 2 neutrons
Mass number 4
Charge +2e
Symbol ⁴₂He or ⁴₂α
Relative mass About 4 u
Ionizing ability Very high
Penetrating ability Low
Range in air Relatively short
Deflected by electric fields Yes
Deflected by magnetic fields Yes

Alpha Radiation Has Low Penetrating Power

Alpha particles are relatively:

  • massive
  • slow compared with beta particles and gamma photons
  • strongly charged

Their +2 charge causes strong interactions with atoms and molecules in matter.

As they travel, they quickly transfer energy to surrounding atoms.

As a result, alpha radiation has:

very low penetrating power

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6

What Stops Alpha Radiation?

Alpha radiation can usually be stopped by:

  • a sheet of paper
  • a few centimetres of air
  • clothing
  • the outer dead layer of skin

This means an alpha source outside the body may present a much smaller penetration hazard than a gamma source of comparable activity and energy.

However, this does not mean alpha radiation is harmless.


Alpha Radiation Is Strongly Ionizing

Alpha particles have a charge of:

+2e

and interact strongly with electrons in atoms.

As an alpha particle passes through matter, it can remove electrons from atoms.

This produces:

ions

The process is called:

ionization

Alpha particles deposit their energy over a relatively short distance.

Therefore, alpha radiation has:

high ionizing power


Penetration vs Ionization

It is important to distinguish between:

penetrating power

and:

ionizing power

Alpha radiation has:

low penetration

but:

high ionization

These properties are related.

Because alpha particles interact so strongly with matter, they lose their energy rapidly.

This prevents them from travelling very far.


Comparing Alpha, Beta and Gamma

Radiation Typical Nature Ionizing Power Penetrating Power
Alpha Helium nucleus Very high Low
Beta Electron or positron Moderate Moderate
Gamma Electromagnetic photon Lower per interaction Very high

In simplified terms:

ionizing ability: α > β > γ

while:

penetrating ability: γ > β > α

The exact biological hazard depends on many additional factors, including energy, activity, exposure pathway and tissue involved.


Alpha Radiation Outside the Body

If an alpha-emitting substance remains safely outside the body, the outer layer of skin can usually stop the alpha particles.

Therefore, external exposure to a properly contained alpha source may present relatively limited direct alpha penetration into deeper tissues.

However, safe handling procedures are still required because radioactive materials may present other risks, especially contamination.


Alpha Radiation Inside the Body

Alpha radiation becomes particularly dangerous if an alpha-emitting substance enters the body.

Possible routes include:

  • inhalation
  • ingestion
  • entry through wounds

Once inside the body, the alpha particles can deposit a large amount of energy in a very small volume of tissue.

This can cause substantial biological damage.

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7

Why Internal Alpha Sources Are Hazardous

Outside the body:

skin can stop alpha particles

Inside the body:

there may be no protective dead skin layer between the radioactive material and living cells.

The short range now becomes especially important.

The alpha particle deposits much of its energy within nearby tissue.

This creates dense ionization along its path.

Therefore:

alpha emitters can be especially hazardous when inhaled or ingested.


Ionization and Biological Damage

Ionizing radiation can damage biological molecules.

Possible effects include:

  • breaking chemical bonds
  • damaging proteins
  • damaging cell structures
  • damaging DNA

Cells may:

  • repair the damage
  • die
  • function abnormally
  • acquire mutations

The biological effect depends on factors such as:

  • radiation type
  • radiation energy
  • absorbed dose
  • exposure duration
  • tissue type
  • location of radioactive material

Radon and Alpha Radiation

Radon is a naturally occurring radioactive noble gas produced in decay chains involving uranium and radium.

Some radon isotopes and their radioactive decay products emit alpha radiation.

Radon can accumulate in enclosed spaces under certain geological and building conditions.

The major concern is inhalation of radon and especially its radioactive decay products, which can expose respiratory tissues to alpha radiation.

This is an important example of why:

internal alpha exposure can be more hazardous than external alpha exposure.


Alpha Radiation and Smoke Detectors

Some ionization smoke detectors use a very small quantity of the alpha-emitting isotope:

americium-241

Americium-241 emits alpha particles.

The alpha particles ionize air inside an ionization chamber, allowing a small electrical current to flow.

When smoke enters, it disrupts this ionization current.

The detector senses the change and activates the alarm.

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7

Why Alpha Radiation Can Be Useful in a Smoke Detector

Alpha radiation is useful because it:

  • strongly ionizes the air
  • has a short range
  • is easily contained within the detector's design

The radioactive source is designed to remain securely contained during normal use.

Smoke detectors should not be dismantled or damaged.


Alpha Radiation in Technology and Science

Alpha emitters and alpha particles have applications in:

  • smoke detection
  • scientific research
  • nuclear physics
  • some specialized medical treatments
  • space exploration power systems involving alpha-emitting radioisotopes

In each application, radioactive materials require appropriate containment and safety procedures.


Alpha Particles in Electric Fields

Because an alpha particle has positive charge:

q = +2e

it experiences force in an electric field:

F = qE

The force acts in the direction of the electric field because the alpha particle is positively charged.

This means alpha particles can be deflected using electric fields.


Alpha Particles in Magnetic Fields

A moving alpha particle also experiences magnetic force:

F = qvB sin θ

Because the alpha particle is positively charged, its force direction follows the positive-charge version of the right-hand rule.

If it moves perpendicular to a magnetic field, it can follow a circular path.

The radius is:

r = mv/(qB)

Because alpha particles are relatively massive, their paths are generally less strongly curved than those of much lighter charged particles under comparable conditions.


Alpha Decay and Energy

Alpha decay releases energy because the total mass of the final products is slightly less than the initial mass of the parent nucleus.

The difference is called the:

mass defect

The released energy is related to the mass difference by:

E = Δmc²

Much of this released energy appears as kinetic energy of:

  • the alpha particle
  • the recoiling daughter nucleus

Nuclear Recoil

Momentum must be conserved during alpha decay.

Before decay, suppose the parent nucleus is approximately at rest.

Its total momentum is approximately:

0

After decay, the alpha particle moves in one direction.

The daughter nucleus therefore recoils in the opposite direction.

Their momenta are equal in magnitude and opposite in direction:

p_alpha = −p_daughter

Because the daughter nucleus has much greater mass, its recoil speed is much smaller.


Alpha Decay Is Spontaneous

It is impossible to predict exactly when a particular unstable nucleus will decay.

Alpha decay is:

spontaneous and random

However, for a very large number of identical radioactive nuclei, the overall statistical behaviour is predictable.

This leads to concepts such as:

  • activity
  • decay constant
  • half-life

which describe radioactive samples statistically.


Alpha Decay Chains

One alpha decay may not produce a stable daughter nucleus.

The daughter may also be radioactive.

It can undergo another decay.

This can produce a:

radioactive decay chain

For example, heavy naturally occurring nuclei can pass through several alpha and beta decays before eventually reaching a stable nucleus.

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6

Effect of Multiple Alpha Decays

Each alpha decay causes:

A → A − 4

Z → Z − 2

After two alpha decays:

A → A − 8

Z → Z − 4

After three alpha decays:

A → A − 12

Z → Z − 6

In general, after n alpha decays:

A_new = A_original − 4n

Z_new = Z_original − 2n


Example: Two Alpha Decays

Suppose a nucleus initially has:

A = 238

Z = 92

After two alpha decays:

A = 238 − 2(4)

A = 230

Z = 92 − 2(2)

Z = 88

Therefore, after two alpha decays:

A = 230

Z = 88

Element 88 is radium.


Example: Finding Number of Alpha Decays

A nucleus changes from:

A = 232

to:

A = 220

Difference:

232 − 220 = 12

Each alpha decay reduces A by 4.

Number of alpha decays:

12/4 = 3

The atomic number should therefore decrease by:

3 × 2 = 6

This provides a useful way to check decay-chain calculations.


Detecting Alpha Radiation

Alpha radiation can be detected using suitable instruments such as:

  • Geiger-Müller detectors with appropriate thin windows
  • semiconductor detectors
  • scintillation detectors
  • cloud chambers

Because alpha particles have a short range, detector geometry is particularly important.

The source must often be relatively close to the detector.


Alpha Tracks in a Cloud Chamber

Alpha particles strongly ionize the material through which they pass.

In a cloud chamber, this can produce visible condensation tracks.

Alpha tracks tend to be:

  • relatively thick
  • short
  • strongly ionizing

compared with tracks from lighter charged particles.

This provides visual evidence of their strong interaction with matter.

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7

Safe Handling Principles

Radioactive materials should be handled according to established radiation-safety procedures.

Three general principles for reducing external radiation exposure are:

Time

Reduce unnecessary exposure time.

Distance

Increase distance from the source where appropriate.

Shielding

Use suitable shielding and containment.

For alpha emitters, preventing:

contamination, inhalation and ingestion

is particularly important because of the internal hazard.


External Exposure vs Contamination

These terms are different.

Exposure means radiation reaches a person from a source.

Contamination means radioactive material is deposited on or enters a person, object or environment.

For alpha emitters, contamination can be particularly important because radioactive material entering the body can continue irradiating nearby tissue.


Example: Writing an Alpha Decay Equation

Suppose thorium-232 undergoes alpha decay.

Thorium:

A = 232

Z = 90

Subtract:

A = 232 − 4 = 228

Z = 90 − 2 = 88

Element 88 is radium.

Therefore:

²³²₉₀Th → ²²⁸₈₈Ra + ⁴₂He

Check:

Mass:

232 = 228 + 4 ✓

Atomic number:

90 = 88 + 2 ✓


Example: Complete the Equation

Complete:

²²⁶₈₈Ra → ²²²₈₆Rn + ?

Mass number of missing particle:

226 − 222 = 4

Atomic number:

88 − 86 = 2

Therefore, the missing particle is:

⁴₂He

an alpha particle.


Problem-Solving Strategy

When solving an alpha-decay equation:

Identify the parent

Write its mass number A and atomic number Z.

Subtract four from A

A_new = A − 4

Subtract two from Z

Z_new = Z − 2

Identify the daughter element

Use the new atomic number.

Add the alpha particle

⁴₂He

Check conservation

Make sure both sides have equal total:

  • mass number
  • atomic number

Common Mistakes

Mistake: Saying an alpha particle is a helium atom.
It is a helium nucleus. It does not initially contain electrons.

Mistake: Saying an alpha particle contains four protons.
It contains two protons and two neutrons.

Mistake: Decreasing mass number by 2.
Alpha decay decreases mass number by 4.

Mistake: Decreasing atomic number by 4.
Alpha decay decreases atomic number by 2.

Mistake: Keeping the same element after alpha decay.
Losing two protons changes the element.

Mistake: Saying alpha radiation has high penetrating power.
Alpha radiation has very low penetrating power.

Mistake: Saying low penetration means alpha radiation is harmless.
Alpha emitters can be particularly hazardous when radioactive material enters the body.

Mistake: Confusing irradiation with contamination.
A person can be exposed to radiation without radioactive material being deposited on or inside them.


Key Terms

Alpha particle — helium-4 nucleus containing two protons and two neutrons.

Alpha decay — radioactive decay in which an unstable nucleus emits an alpha particle.

Parent nucleus — original radioactive nucleus before decay.

Daughter nucleus — nucleus produced after radioactive decay.

Mass number (A) — total number of protons and neutrons in a nucleus.

Atomic number (Z) — number of protons in a nucleus.

Nucleon — proton or neutron.

Radioactivity — spontaneous emission of radiation from unstable nuclei.

Ionization — removal or addition of electrons, producing ions.

Ionizing radiation — radiation capable of causing ionization in matter.

Penetrating power — ability of radiation to travel through matter.

Transmutation — conversion of one element into another through a nuclear process.

Contamination — unwanted radioactive material present on or within a person, object or environment.

Irradiation — exposure to ionizing radiation.

Decay chain — sequence of radioactive decays leading through several daughter nuclei.

Mass defect — difference between the mass of a system before and after a nuclear process, associated with released or absorbed energy.


Key Takeaways

  • Alpha decay occurs when an unstable nucleus emits an alpha particle.
  • An alpha particle contains 2 protons and 2 neutrons.
  • It is represented as ⁴₂He or ⁴₂α.
  • An alpha particle has mass number 4.
  • It has charge +2e.
  • Alpha decay decreases mass number by 4.
  • Alpha decay decreases atomic number by 2.
  • The daughter nucleus is therefore a different element.
  • Alpha-decay equations must conserve mass number and atomic number.
  • Alpha radiation has low penetrating power.
  • Paper, a short distance of air or the outer layer of skin can stop alpha particles.
  • Alpha radiation has very high ionizing ability.
  • Alpha particles lose energy rapidly because they interact strongly with matter.
  • External alpha exposure generally has limited penetration through intact skin.
  • Alpha-emitting materials can be particularly hazardous if inhaled, ingested or introduced through wounds.
  • Radon and its decay products are an important example of an internal alpha-radiation hazard.
  • Alpha particles can be deflected by electric and magnetic fields because they are charged.
  • Alpha decay releases energy associated with a small change in mass.
  • The daughter nucleus recoils in the opposite direction to the emitted alpha particle.
  • Alpha decay is spontaneous and random for individual nuclei.

Check Your Understanding

  1. What is an alpha particle?
  2. How many protons and neutrons are in an alpha particle?
  3. What are the mass number and atomic number of an alpha particle?
  4. What electric charge does an alpha particle have?
  5. Describe what happens to an unstable nucleus during alpha decay.
  6. How does alpha decay change the mass number?
  7. How does alpha decay change the atomic number?
  8. Complete: ²³⁸₉₂U → _____ + ⁴₂He.
  9. Complete: ²²⁶₈₈Ra → _____ + ⁴₂He.
  10. Write the alpha-decay equation for polonium-210.
  11. Explain how you can check that an alpha-decay equation is balanced.
  12. Why does alpha decay change one element into another?
  13. Compare the ionizing ability and penetrating power of alpha radiation.
  14. Why can alpha particles be stopped relatively easily by matter?
  15. Explain why an alpha source outside the body may present a smaller direct penetration hazard than the same radioactive material inside the body.
  16. Identify three ways an alpha-emitting substance could enter the body.
  17. Explain why inhaled alpha-emitting material can be hazardous.
  18. A nucleus undergoes three alpha decays. By how much do its mass number and atomic number change?
  19. A nucleus changes from mass number 240 to 224 entirely through alpha decay. How many alpha decays occurred?
  20. Explain how alpha decay demonstrates conservation of mass number, atomic number, energy and momentum.
 
 
 

2. Beta Decay

Learning outcomes
  • I can describe beta particles.
  • I can explain how beta decay changes a nucleus.
  • I can write beta decay equations.
  • I can compare beta radiation with alpha radiation.
  • I can describe the penetrating power of beta radiation.

Beta Decay

What Is Beta Radiation?

Beta radiation is produced when an unstable atomic nucleus undergoes beta decay.

There are two main types:

  • beta-minus (β⁻) decay
  • beta-plus (β⁺) decay

At this level, beta-minus decay is usually the main focus.

A beta-minus particle is a high-speed electron emitted from the nucleus during radioactive decay.

It can be represented as:

⁰₋₁e

or:

β⁻

A beta particle is not an electron that was previously orbiting the nucleus. It is produced during a change involving particles inside the nucleus.

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Properties of a Beta-Minus Particle

A beta-minus particle has:

  • charge = −1e
  • extremely small mass compared with a proton or neutron
  • mass number = 0
  • atomic-number contribution = −1 in nuclear equations

It is represented:

⁰₋₁e

Its mass number is written as zero because the electron is not a nucleon.


What Happens During Beta-Minus Decay?

During beta-minus decay, a neutron changes into a proton.

At a more complete level:

neutron → proton + electron + electron antineutrino

or:

n → p + e⁻ + ν̄ₑ

The electron is emitted from the nucleus as beta radiation.

The antineutrino is also emitted.

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5

Why the Atomic Number Changes

Before beta-minus decay, the nucleus contains a neutron.

During decay:

neutron → proton

The number of protons therefore increases by one.

Since atomic number is the number of protons:

Z → Z + 1

Therefore, the nucleus becomes a different element.


Why the Mass Number Does Not Change

A neutron changes into a proton.

Both the neutron and proton are nucleons.

Therefore, the total number of nucleons remains unchanged.

So:

A → A

The mass number does not change.

This gives the basic beta-minus rule:

mass number: no change

atomic number: increases by 1


General Beta-Minus Decay Equation

A beta-minus decay can be represented:

ᴬ_ZX → ᴬ_Z₊₁Y + ⁰₋₁e + ν̄ₑ

where:

  • X = parent element
  • Y = daughter element
  • A = mass number
  • Z = atomic number
  • ⁰₋₁e = beta-minus particle
  • ν̄ₑ = electron antineutrino

In simpler introductory nuclear equations, the antineutrino is sometimes omitted, giving:

ᴬ_ZX → ᴬ_Z₊₁Y + ⁰₋₁e

However, including the antineutrino gives a more complete description.


Example: Carbon-14

Carbon-14 has:

A = 14

Z = 6

During beta-minus decay:

Mass number:

14 → 14

Atomic number:

6 → 7

Element 7 is nitrogen.

Therefore:

¹⁴₆C → ¹⁴₇N + ⁰₋₁e + ν̄ₑ

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4

Checking the Carbon-14 Equation

Check mass numbers:

Left:

14

Right:

14 + 0 = 14

Therefore:

14 = 14 ✓

Check atomic numbers:

Left:

6

Right:

7 + (−1)

7 − 1 = 6

Therefore:

6 = 6 ✓

The equation balances.


Example: Hydrogen-3

Hydrogen-3, also called tritium, undergoes beta-minus decay.

Hydrogen has atomic number:

Z = 1

After beta-minus decay:

Z = 2

Element 2 is helium.

Mass number remains:

A = 3

Therefore:

³₁H → ³₂He + ⁰₋₁e + ν̄ₑ


Example: Phosphorus-32

Phosphorus-32 has:

A = 32

Z = 15

During beta-minus decay:

A remains 32.

Z increases:

15 → 16

Element 16 is sulfur.

Therefore:

³²₁₅P → ³²₁₆S + ⁰₋₁e + ν̄ₑ


Example: Strontium-90

Strontium has atomic number:

38

During beta-minus decay:

Z = 38 + 1

Z = 39

Element 39 is yttrium.

Therefore:

⁹⁰₃₈Sr → ⁹⁰₃₉Y + ⁰₋₁e + ν̄ₑ


Identifying an Unknown Daughter

Complete:

¹³¹₅₃I → ? + ⁰₋₁e + ν̄ₑ

Mass number remains:

A = 131

Atomic number increases:

53 + 1 = 54

Element 54 is xenon.

Therefore:

¹³¹₅₃I → ¹³¹₅₄Xe + ⁰₋₁e + ν̄ₑ


A Useful Beta-Minus Shortcut

For beta-minus decay, remember:

A stays the same

Z goes up by 1

So:

ᴬ_ZX → ᴬ_Z₊₁Y + β⁻

This is the fastest way to determine the daughter nucleus in introductory problems.


Why Does the Element Change?

An element is defined by its number of:

protons

During beta-minus decay:

neutron → proton

Therefore, the nucleus gains one proton.

Changing the number of protons changes the element.

For example:

carbon → nitrogen

phosphorus → sulfur

strontium → yttrium

This is another example of:

nuclear transmutation


Where Does the Beta Electron Come From?

A common misconception is that the emitted electron was already sitting inside the nucleus.

That is not the correct description.

The electron is produced during the beta-decay process as a neutron transforms into a proton through the weak interaction.

So:

the beta electron is created during the nuclear transformation

rather than being an orbital electron ejected from the atom.


The Weak Interaction

Beta decay occurs through one of the fundamental interactions of nature:

the weak nuclear interaction

At the particle level, the weak interaction allows one type of quark inside a neutron to change, transforming the neutron into a proton.

This is fundamentally different from alpha decay, where a group of two protons and two neutrons leaves the nucleus together.


The Antineutrino

Beta-minus decay also produces an:

electron antineutrino

symbol:

ν̄ₑ

Antineutrinos:

  • have no electric charge
  • have extremely small mass
  • interact very weakly with matter

They can therefore travel through enormous amounts of matter without interacting.


Why the Antineutrino Matters

Early measurements of beta decay produced a puzzle.

The emitted beta particles did not always carry the same energy.

Instead, they showed a continuous range of energies.

Scientists initially wondered whether energy was not being conserved.

The solution was that another particle carries away part of the energy and momentum:

the antineutrino

Therefore:

energy and momentum are conserved

when all decay products are included.


Beta Particles Have a Range of Energies

In alpha decay, alpha particles from a particular decay often emerge with characteristic energies.

Beta decay is different.

The available decay energy is shared mainly among:

  • beta particle
  • antineutrino
  • recoiling daughter nucleus

Therefore, beta particles are emitted with a:

continuous range of kinetic energies

This is an important characteristic of beta decay.


Beta-Plus Decay

Another form of beta decay is:

beta-plus decay

In beta-plus decay:

proton → neutron + positron + electron neutrino

A positron is the antimatter counterpart of an electron.

It has:

  • same mass as an electron
  • charge +1e

It is represented:

⁰₊₁e

or:

β⁺


Changes During Beta-Plus Decay

During beta-plus decay:

proton → neutron

Therefore:

Mass number:

A stays the same

Atomic number:

Z decreases by 1

General equation:

ᴬ_ZX → ᴬ_Z₋₁Y + ⁰₊₁e + νₑ

where νₑ is an electron neutrino.


Beta-Minus vs Beta-Plus

Property Beta-Minus Beta-Plus
Symbol β⁻ β⁺
Emitted particle Electron Positron
Charge −1e +1e
Nuclear change neutron → proton proton → neutron
Mass number No change No change
Atomic number +1 −1
Additional particle Antineutrino Neutrino

For most introductory beta-decay questions, carefully check whether β⁻ or β⁺ is specified.


Penetrating Power of Beta Radiation

Beta radiation has:

moderate penetrating power

It penetrates matter farther than alpha radiation but generally much less than gamma radiation.

A typical comparison is:

alpha < beta < gamma

in penetrating ability.

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6

What Stops Beta Radiation?

Beta radiation can often pass through:

  • paper
  • the outer dead layer of skin

but can be significantly reduced by a relatively thin layer of material such as:

  • plastic
  • acrylic
  • aluminium

The exact penetration depends on beta-particle energy.


Beta Radiation in Air

Beta particles can travel farther through air than alpha particles.

Alpha radiation typically has a range of only a few centimetres in air.

Beta radiation may travel substantially farther, depending on its energy.

This means beta sources can present a more significant external exposure concern than alpha sources at comparable source conditions.


Why Beta Radiation Penetrates Farther Than Alpha

Beta particles are much less massive than alpha particles and carry only one elementary charge magnitude.

Alpha particle:

charge = +2e

Beta-minus particle:

charge = −e

Beta particles generally interact less intensely along each unit of path than alpha particles.

Therefore, they typically lose energy less rapidly and travel farther through matter.


Ionizing Ability

Beta radiation is ionizing.

As beta particles pass through matter, they interact with atoms and can remove electrons.

However, their ionizing ability is generally lower than that of alpha particles.

A simplified comparison is:

alpha → very strongly ionizing

beta → moderately ionizing

gamma → less densely ionizing

This comparison is useful, although actual biological effects depend on radiation energy and exposure conditions.


Alpha vs Beta Radiation

Property Alpha Beta-Minus
Particle Helium nucleus Electron
Composition 2 protons + 2 neutrons Electron
Charge +2e −1e
Relative mass About 4 u Very small
Mass number in equations 4 0
Ionizing ability Very high Moderate
Penetrating ability Low Moderate
Typical shielding Paper / skin / air Plastic or thin metal
Deflected by electric field Yes Yes
Deflected by magnetic field Yes Yes
Nuclear effect A − 4, Z − 2 A unchanged, Z + 1

Alpha and Beta Deflection

Both alpha and beta particles carry electric charge.

Therefore, both can be deflected by:

  • electric fields
  • magnetic fields

However, beta particles are much lighter.

For charged particles in a magnetic field:

r = mv/(|q|B)

Because beta particles have extremely small mass, their trajectories can be strongly curved compared with alpha particles under comparable conditions.

Also:

  • β⁻ is negatively charged
  • α is positively charged

so they curve in opposite directions in the same magnetic field if their velocity directions are comparable.

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5

Gamma Radiation Is Different

Gamma radiation consists of:

high-energy electromagnetic photons

Gamma photons have:

  • no electric charge
  • no rest mass
  • very high penetrating ability

Therefore, gamma radiation is not deflected by electric or magnetic fields.

This provides another useful comparison:

alpha → positive

beta-minus → negative

gamma → neutral


Beta Radiation and External Exposure

Unlike alpha radiation, beta particles can penetrate into living tissue to some extent.

Therefore, a beta source outside the body can potentially damage:

  • skin
  • eyes
  • nearby tissue

The severity depends on factors such as:

  • beta energy
  • source activity
  • exposure time
  • distance
  • shielding

Internal Beta Exposure

Beta-emitting radioactive materials can also be hazardous if they enter the body through:

  • inhalation
  • ingestion
  • wounds

The beta particles can then deposit energy in surrounding tissue.

The biological risk depends strongly on:

  • isotope
  • activity
  • energy
  • location in the body
  • time retained in the body

Shielding Beta Radiation

Beta shielding requires care.

Materials such as:

  • plastic
  • acrylic

are often useful for reducing beta radiation.

Thin aluminium can also stop many beta particles.

However, high-energy beta particles rapidly decelerating in high-atomic-number materials can produce secondary X-ray radiation called:

bremsstrahlung

For this reason, radiation shielding is selected according to the particular source and situation rather than simply using the densest available material.


Bremsstrahlung

The word bremsstrahlung means approximately:

braking radiation

When a fast electron passes near a positively charged nucleus, it can be strongly accelerated or decelerated.

The electron loses kinetic energy.

That energy can be emitted as an X-ray photon.

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6

This is one reason low-atomic-number materials such as plastic may be used as an initial layer for beta shielding.


Beta Decay and Radioactive Dating

Carbon-14 beta decay is particularly important.

Living organisms continually exchange carbon with their environment while alive.

After death, this exchange stops, and the amount of carbon-14 decreases through radioactive decay.

Carbon-14 undergoes:

¹⁴₆C → ¹⁴₇N + ⁰₋₁e + ν̄ₑ

By measuring the remaining carbon-14, scientists can estimate the age of certain once-living materials.


Beta Radiation in Medicine

Beta-emitting isotopes have specialized medical applications.

Depending on the isotope and treatment, beta radiation may be used to deliver ionizing radiation to particular tissues.

Radioactive tracers and therapeutic isotopes are selected according to properties such as:

  • radiation type
  • energy
  • half-life
  • chemical behaviour

Medical use of radioactive materials requires carefully controlled doses and professional radiation-safety procedures.


Beta Radiation in Industrial Measurement

Beta radiation can also be used in some industrial monitoring systems.

For example, radiation passing through a material can depend on its thickness.

A detector on the opposite side can measure the transmitted radiation.

This principle can be used to monitor the thickness of materials such as:

  • paper
  • plastic film
  • thin metal sheet
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6

How a Thickness Gauge Works

A simplified system contains:

beta source → material → detector

If the material becomes thicker:

less beta radiation reaches detector

If the material becomes thinner:

more beta radiation reaches detector

The detector signal can be used in a feedback system to adjust manufacturing equipment.


Detecting Beta Radiation

Beta radiation can be detected using instruments such as:

  • Geiger-Müller tubes
  • semiconductor detectors
  • scintillation detectors
  • cloud chambers

A Geiger-Müller detector records ionizing events and can be used to investigate:

  • background radiation
  • source activity
  • absorption by shielding
  • distance effects

Beta Tracks in a Cloud Chamber

Beta particles can produce visible tracks in a cloud chamber.

Compared with alpha tracks, beta tracks tend to be:

  • thinner
  • longer
  • more irregular

because beta particles are:

  • much lighter
  • less strongly ionizing
  • more easily scattered
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4

Example: Complete a Beta Decay Equation

Complete:

⁶⁰₂₇Co → ? + ⁰₋₁e + ν̄ₑ

Mass number remains:

60

Atomic number increases:

27 → 28

Element 28 is nickel.

Therefore:

⁶⁰₂₇Co → ⁶⁰₂₈Ni + ⁰₋₁e + ν̄ₑ


Example: Find the Parent Nucleus

Suppose:

? → ⁹⁰₃₉Y + ⁰₋₁e + ν̄ₑ

The parent mass number must be:

90

For atomic number:

Z_parent = 39 − 1

Z_parent = 38

Element 38 is strontium.

Therefore:

⁹⁰₃₈Sr → ⁹⁰₃₉Y + ⁰₋₁e + ν̄ₑ


Example: Multiple Beta-Minus Decays

Suppose a nucleus undergoes three beta-minus decays.

Each decay:

  • leaves A unchanged
  • increases Z by 1

After three decays:

A_new = A_original

Z_new = Z_original + 3

For example:

Initial:

A = 100

Z = 40

After three β⁻ decays:

A = 100

Z = 43


Comparing Multiple Alpha and Beta Decays

Suppose a nucleus undergoes:

  • 2 alpha decays
  • 3 beta-minus decays

Each alpha decay:

A − 4

Z − 2

Two alpha decays:

A − 8

Z − 4

Three beta-minus decays:

A unchanged

Z + 3

Overall:

A decreases by 8

Z decreases by 1

This type of reasoning is useful when analyzing radioactive decay chains.


Example: Decay Chain Calculation

A nucleus begins with:

A = 238

Z = 92

It undergoes:

2 alpha decays

and:

2 beta-minus decays.

After two alpha decays:

A = 238 − 8 = 230

Z = 92 − 4 = 88

After two beta-minus decays:

A = 230

Z = 88 + 2 = 90

Final values:

A = 230

Z = 90


Beta Decay Is Random

Like alpha decay, beta decay is a spontaneous nuclear process.

It is impossible to predict exactly when a particular unstable nucleus will decay.

For a large collection of nuclei, however, the overall behaviour is statistically predictable.

This allows radioactive samples to be described using:

  • activity
  • decay constant
  • half-life

Conservation in Beta Decay

Beta decay obeys conservation laws.

Important conserved quantities include:

  • electric charge
  • energy
  • momentum
  • nucleon number
  • lepton number

The neutrino or antineutrino is essential to the complete conservation picture.

For example:

n → p + e⁻ + ν̄ₑ

Charge:

0 = (+1) + (−1) + 0

Therefore:

charge is conserved.


Problem-Solving Strategy

When solving a beta-minus decay equation:

Keep the mass number unchanged

A_new = A

Increase atomic number by one

Z_new = Z + 1

Identify the new element

Use the periodic table.

Add the beta particle

⁰₋₁e

Include the antineutrino when appropriate

ν̄ₑ

Check the equation

Verify that mass number and charge/atomic-number totals balance.


Common Mistakes

Mistake: Saying a beta-minus particle is a proton.
A β⁻ particle is an electron.

Mistake: Saying the beta electron comes from the electron cloud.
It is produced during the nuclear decay process.

Mistake: Decreasing mass number during beta-minus decay.
Mass number stays the same.

Mistake: Decreasing atomic number during beta-minus decay.
For β⁻ decay, atomic number increases by 1.

Mistake: Confusing β⁻ and β⁺ decay.
β⁻ increases Z by 1; β⁺ decreases Z by 1.

Mistake: Saying beta radiation is more ionizing than alpha radiation.
Alpha radiation is generally much more strongly ionizing.

Mistake: Saying beta radiation is less penetrating than alpha radiation.
Beta radiation generally penetrates farther than alpha radiation.

Mistake: Saying beta radiation requires thick lead shielding in every situation.
Shielding depends on the source; low-atomic-number materials are often useful for beta particles, partly to limit bremsstrahlung production.


Key Terms

Beta particle — high-speed electron or positron emitted during beta decay.

Beta-minus (β⁻) — electron emitted when a neutron transforms into a proton.

Beta-plus (β⁺) — positron emitted when a proton transforms into a neutron.

Electron — negatively charged fundamental particle.

Positron — positively charged antimatter counterpart of the electron.

Neutrino — electrically neutral, extremely weakly interacting particle emitted in certain nuclear processes.

Antineutrino — antimatter counterpart of a neutrino; an electron antineutrino is emitted during β⁻ decay.

Weak interaction — fundamental interaction responsible for beta decay.

Parent nucleus — radioactive nucleus before decay.

Daughter nucleus — nucleus produced by radioactive decay.

Transmutation — conversion of one element into another through a nuclear process.

Penetrating power — ability of radiation to travel through matter.

Ionizing power — ability of radiation to remove electrons from atoms or molecules.

Bremsstrahlung — electromagnetic radiation produced when charged particles, particularly electrons, are rapidly accelerated or decelerated.


Key Takeaways

  • Beta decay is a type of radioactive nuclear decay.
  • A beta-minus particle is a high-speed electron.
  • It is represented as ⁰₋₁e or β⁻.
  • During β⁻ decay, a neutron changes into a proton.
  • An electron and electron antineutrino are also produced.
  • The mass number remains unchanged during β⁻ decay.
  • The atomic number increases by one.
  • Therefore, β⁻ decay changes one element into another.
  • The beta electron is produced during the decay; it does not come from the electron cloud.
  • Beta decay occurs through the weak interaction.
  • Beta particles have a continuous range of energies.
  • The antineutrino helps ensure conservation of energy and momentum.
  • Beta-plus decay involves emission of a positron.
  • During β⁺ decay, atomic number decreases by one.
  • Beta radiation has moderate penetrating power.
  • Beta radiation penetrates farther than alpha radiation.
  • Beta radiation is generally less ionizing than alpha radiation.
  • Beta particles are deflected by electric and magnetic fields because they are charged.
  • Beta emitters can present both external and internal radiation hazards.
  • Beta radiation has applications in scientific research, medicine and industrial measurement.

Check Your Understanding

  1. What is a beta-minus particle?
  2. What electric charge does a β⁻ particle carry?
  3. What happens to a neutron during beta-minus decay?
  4. What happens to mass number during β⁻ decay?
  5. What happens to atomic number during β⁻ decay?
  6. Explain why β⁻ decay changes one element into another.
  7. Write the beta-minus decay equation for carbon-14.
  8. Complete: ³²₁₅P → _____ + ⁰₋₁e + ν̄ₑ.
  9. Complete: ⁹⁰₃₈Sr → _____ + ⁰₋₁e + ν̄ₑ.
  10. Explain where the emitted beta electron comes from.
  11. What is the role of the antineutrino in beta-minus decay?
  12. Compare the mass and charge of alpha and beta-minus particles.
  13. Compare the penetrating powers of alpha and beta radiation.
  14. Compare the ionizing abilities of alpha and beta radiation.
  15. Why does beta radiation generally penetrate matter farther than alpha radiation?
  16. Explain why beta particles can be deflected by electric and magnetic fields.
  17. A nucleus with A = 80 and Z = 35 undergoes two β⁻ decays. Determine its new A and Z.
  18. A nucleus undergoes one alpha decay followed by two beta-minus decays. Determine the overall changes in A and Z.
  19. Explain why suitable beta shielding may use plastic rather than simply using a dense metal.
  20. Describe two practical uses of beta radiation and explain why beta radiation is suitable for each.

3. Gamma Radiation

Learning outcomes
  • I can describe gamma radiation.
  • I can explain how gamma emission differs from alpha and beta decay.
  • I can identify situations in which gamma radiation is emitted.
  • I can compare the penetrating power of gamma radiation with other forms of radiation.
  • I can identify appropriate shielding materials for gamma radiation.

Gamma Radiation

What Is Gamma Radiation?

Gamma radiation is a form of very high-energy electromagnetic radiation emitted by an unstable or excited atomic nucleus.

A gamma ray is made of photons, not particles containing protons, neutrons, or electrons.

Gamma radiation is represented by:

γ

or in nuclear equations as:

⁰₀γ

A gamma photon has:

  • no electric charge
  • no rest mass
  • no mass number
  • no atomic number
  • very high energy
  • speed equal to the speed of light in a vacuum

c ≈ 3.00 × 10⁸ m/s

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8

Gamma Radiation Is Electromagnetic Radiation

Gamma radiation belongs to the electromagnetic spectrum.

The electromagnetic spectrum includes:

  • radio waves
  • microwaves
  • infrared
  • visible light
  • ultraviolet
  • X-rays
  • gamma rays

All electromagnetic waves consist of oscillating electric and magnetic fields.

Gamma rays generally occupy the very high-frequency, high-energy region of the electromagnetic spectrum.

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5

Energy of a Gamma Photon

The energy of a photon is:

E = hf

where:

  • E = photon energy (J)
  • h = Planck's constant
  • f = frequency (Hz)

Planck's constant is:

h = 6.63 × 10⁻³⁴ J·s

Since:

c = fλ

gamma photons have very high frequencies and correspondingly very short wavelengths.

Because:

E = hf

higher frequency means higher photon energy.


Gamma Emission

Gamma emission occurs when an atomic nucleus changes from a:

higher-energy nuclear state

to a:

lower-energy nuclear state

The excess energy is released as a gamma photon.

The nucleus itself does not lose a proton or neutron during this process.

Therefore:

mass number does not change

and:

atomic number does not change


Excited Nuclei

An excited nucleus can be represented with an asterisk:

X*

The asterisk indicates that the nucleus contains excess energy.

Gamma emission can then be represented:

X → X + γ*

The nucleus remains the same element and isotope, but moves into a lower-energy state.

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9

General Gamma Equation

A nuclear gamma transition can be written:

ᴬ_ZX → ᴬ_ZX + ⁰₀γ*

Notice that:

A remains unchanged.

Z remains unchanged.

Therefore:

gamma emission does not change the identity of the nuclide.

It changes only its nuclear energy state.


Example: Gamma Emission

Suppose an excited cobalt-60 nucleus emits gamma radiation.

A simplified representation is:

⁶⁰₂₇Co → ⁶⁰₂₇Co + ⁰₀γ*

Before emission:

A = 60
Z = 27

After emission:

A = 60
Z = 27

The element remains cobalt.

Only the nuclear energy decreases.


Gamma Radiation Often Follows Other Nuclear Decays

Gamma radiation is frequently emitted after another radioactive process such as:

  • alpha decay
  • beta decay

The daughter nucleus produced by the first decay may be left in an excited state.

It can then release excess energy by emitting one or more gamma photons.

So a sequence may look like:

parent → excited daughter + alpha/beta

followed by:

excited daughter → lower-energy daughter + gamma


Example: Beta Decay Followed by Gamma Emission

Cobalt-60 undergoes beta-minus decay to an excited state of nickel-60.

A simplified sequence is:

⁶⁰₂₇Co → ⁶⁰₂₈Ni + ⁰₋₁e + ν̄ₑ*

The excited nickel nucleus then releases gamma radiation:

⁶⁰₂₈Ni → ⁶⁰₂₈Ni + γ*

The beta decay changes the atomic number.

The gamma emission does not.

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Gamma Emission After Alpha Decay

The same principle can occur after alpha decay.

First:

parent → daughter + alpha*

Then:

daughter → daughter + gamma*

The alpha decay changes:

  • mass number
  • atomic number

The subsequent gamma emission changes neither.

Gamma emission simply removes excess nuclear energy.


Comparing Nuclear Changes

The three major types of radiation affect nuclei differently.

Alpha decay

The nucleus loses:

  • 2 protons
  • 2 neutrons

Therefore:

A → A − 4

Z → Z − 2

Beta-minus decay

A neutron changes into a proton.

Therefore:

A → A

Z → Z + 1

Gamma emission

The nucleus loses energy.

Therefore:

A → A

Z → Z

This is one of the most important distinctions among alpha, beta and gamma radiation.


Alpha, Beta and Gamma Compared

Property Alpha Beta-Minus Gamma
Symbol α β⁻ γ
Nature Helium nucleus Electron Photon
Charge +2e −e 0
Rest mass Large Very small 0
Mass number 4 0 0
Atomic-number effect −2 +1 No change
Mass-number effect −4 No change No change
Speed Below c Can approach c c in vacuum
Ionizing ability Very high Moderate Lower per interaction
Penetrating ability Low Moderate Very high

Gamma Radiation Has High Penetrating Power

Gamma radiation has much greater penetrating ability than alpha or beta radiation.

A simplified ranking is:

alpha < beta < gamma

for penetrating power.

Alpha particles can be stopped by paper or skin.

Beta particles can often be significantly reduced by plastic or thin metal.

Gamma radiation may require substantial thicknesses of dense shielding material to reduce its intensity.

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Why Gamma Radiation Is Highly Penetrating

Gamma photons:

  • have no electric charge
  • have no rest mass
  • interact differently with matter than charged alpha and beta particles

Charged particles continually interact with electrons and nuclei as they travel.

Gamma photons can travel significant distances between interactions.

Therefore, gamma radiation can penetrate deeply into materials and biological tissue.


Gamma Radiation Is Ionizing

Although gamma radiation is highly penetrating, it is still:

ionizing radiation

Gamma photons can transfer energy to electrons in matter.

These energetic electrons can then cause further ionization.

Therefore, gamma radiation can damage:

  • atoms
  • molecules
  • cells
  • DNA

Its high penetrating power means that an external gamma source can irradiate tissues throughout the body.


Gamma Interactions with Matter

Gamma photons can interact with matter through several processes.

Three important mechanisms are:

  • photoelectric absorption
  • Compton scattering
  • pair production

Which process dominates depends strongly on:

  • gamma energy
  • shielding material
  • atomic number of the material

Photoelectric Absorption

In the photoelectric effect, a gamma photon transfers essentially all of its energy to an electron.

The photon disappears.

The electron is ejected from the atom.

A simplified energy relationship is:

E_photon = binding energy + electron kinetic energy

This process can contribute to the absorption of gamma radiation.


Compton Scattering

In Compton scattering, a gamma photon collides with an electron.

The photon transfers some of its energy to the electron and changes direction.

After the interaction:

  • electron moves away with kinetic energy
  • gamma photon continues with lower energy
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5

Pair Production

A sufficiently energetic gamma photon passing near a nucleus can produce:

  • an electron
  • a positron

The gamma photon disappears and its energy becomes particle rest energy and kinetic energy.

The minimum photon energy required is:

1.022 MeV

because the rest-energy equivalent of one electron is approximately:

0.511 MeV

and two particles are produced:

2 × 0.511 MeV = 1.022 MeV


Gamma Radiation Is Not Easily Stopped Completely

For gamma radiation, it is often more accurate to talk about:

reducing intensity

rather than completely stopping every photon.

As gamma radiation passes through matter, some photons interact and are removed from the original beam.

Others may pass through.

Therefore, increasing shielding thickness progressively reduces the radiation intensity.


Exponential Attenuation

Gamma intensity approximately follows:

I = I₀e^(−μx)

where:

  • I = transmitted intensity
  • I₀ = initial intensity
  • μ = linear attenuation coefficient
  • x = shielding thickness

The attenuation coefficient depends on:

  • photon energy
  • shielding material

Therefore, different gamma sources may require different shielding designs.


Half-Value Layer

A useful shielding quantity is the:

half-value layer (HVL)

The HVL is the thickness of material needed to reduce gamma intensity to:

one-half

of its original value.

After one HVL:

I = I₀/2

After two HVLs:

I = I₀/4

After three HVLs:

I = I₀/8

After n HVLs:

I = I₀(1/2)ⁿ


Example: Half-Value Layers

Suppose the gamma intensity is initially:

800 counts/min

One HVL of shielding reduces this to:

400 counts/min

A second HVL gives:

200 counts/min

A third gives:

100 counts/min

Therefore, three HVLs reduce the intensity to:

1/8 of the original value

or:

12.5%


Gamma Shielding

Because gamma radiation is highly penetrating, shielding often uses materials with substantial density and thickness.

Common shielding materials include:

  • lead
  • concrete
  • steel
  • water

The appropriate material depends on:

  • gamma energy
  • source activity
  • required attenuation
  • available space
  • structural requirements
  • cost
  • radiation environment
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8

Why Lead Is Used

Lead has:

  • high density
  • high atomic number
  • strong gamma attenuation per unit thickness for many gamma energies

Therefore, relatively compact lead shielding can substantially reduce gamma intensity.

Lead is often used in:

  • radiation containers
  • laboratory shielding
  • medical facilities
  • nuclear applications

However, shielding design depends on the radiation energy and application.


Why Concrete Is Used

Concrete is widely used because it can provide:

  • thick structural shielding
  • relatively low cost
  • large-scale protection
  • attenuation of gamma radiation

It is commonly found in:

  • nuclear facilities
  • radiation-treatment rooms
  • research laboratories
  • accelerator facilities

Very thick concrete walls can substantially reduce radiation levels outside controlled areas.


Water as Radiation Shielding

Water can also provide radiation shielding when sufficient thickness is used.

For example, water surrounding stored radioactive material can:

  • absorb radiation
  • provide distance from the source
  • allow visual inspection in some facilities

Large pools are therefore used in parts of the nuclear industry.


Gamma Radiation Outside the Body

Gamma radiation is particularly important as an external radiation hazard.

Unlike alpha particles, gamma photons can penetrate the skin and travel into deeper tissues.

Therefore, a gamma source does not need to enter the body to expose internal organs.

Radiation protection is consequently important even when the source remains outside the body.


Gamma Radiation Inside the Body

Gamma-emitting radioactive material can also present an internal hazard if it enters the body.

The emitted gamma photons can travel away from the radioactive material and expose surrounding tissues.

Some gamma-emitting isotopes are deliberately used in medicine because their radiation can be detected outside the body.


Gamma Radiation in Medical Imaging

Gamma-emitting radioactive tracers can be introduced into the body in carefully controlled medical procedures.

A detector outside the body detects gamma photons leaving the patient.

This allows doctors to investigate biological processes and organ function.

One example is:

gamma-camera imaging

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7

Why Gamma Radiation Is Useful for Imaging

For an internal tracer to be detected externally, its radiation must escape the body.

Alpha radiation would be unsuitable for this purpose because its range in tissue is extremely short.

Gamma radiation is useful because:

  • it can leave the body
  • detectors can measure it externally
  • its location can help determine tracer distribution

The isotope must also have suitable:

  • half-life
  • photon energy
  • chemical properties

Gamma Radiation in Cancer Treatment

High-energy photons can also be used to damage cancer cells.

Radiation therapy aims to deliver a controlled dose to a tumour while minimizing unnecessary exposure to healthy tissue.

Modern systems can direct radiation from carefully selected directions and shapes.

Gamma-emitting radioactive sources have historically and currently been used in certain radiotherapy technologies, alongside X-ray and particle-beam systems.


Sterilization

Gamma radiation can be used to sterilize certain:

  • medical equipment
  • laboratory materials
  • packaged products

The radiation penetrates packaging and damages microorganisms.

This can be useful for items that cannot easily be sterilized using high temperatures.


Food Irradiation

Ionizing radiation can also be used under controlled conditions to:

  • reduce microorganisms
  • control insects
  • delay some spoilage processes

Food irradiation does not automatically make the food radioactive.

Radiation passing through a material and radioactive contamination are different concepts.


Industrial Gamma Radiography

Gamma radiation can be used to inspect the internal structure of manufactured components.

A gamma source is placed on one side of an object and a detector on the other.

Differences in transmitted radiation can reveal:

  • cracks
  • voids
  • defects
  • variations in thickness

This technique is similar in principle to X-ray imaging.


Measuring Material Thickness

Gamma radiation can also be used to monitor thick materials.

A source and detector are placed on opposite sides.

If the material becomes thicker:

less gamma radiation reaches the detector

If it becomes thinner:

more reaches the detector

This can be incorporated into industrial control systems.


Gamma-Ray Astronomy

Gamma rays are also produced naturally in extremely energetic astronomical environments.

Sources include phenomena associated with:

  • neutron stars
  • black-hole environments
  • supernova remnants
  • energetic particle interactions
  • gamma-ray bursts

Because Earth's atmosphere absorbs much high-energy gamma radiation, gamma-ray observatories are often placed on spacecraft.

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8

Detecting Gamma Radiation

Gamma radiation can be detected using devices such as:

  • Geiger-Müller detectors
  • scintillation detectors
  • semiconductor detectors

Because gamma photons are uncharged, detection generally depends on their interactions with matter producing charged particles or ionization that can be measured.


Gamma Radiation in a Magnetic Field

Gamma radiation has:

q = 0

Therefore, magnetic force:

F = qvB

is zero.

So gamma radiation is:

not deflected by a magnetic field


Gamma Radiation in an Electric Field

Similarly:

F = qE

Since:

q = 0

gamma radiation experiences no electric force.

Therefore:

gamma rays are not deflected by electric fields

This differs from both alpha and beta radiation.


Radiation Deflection Comparison

In suitable electric or magnetic fields:

  • alpha radiation is deflected
  • beta radiation is deflected more strongly because of its much smaller mass
  • gamma radiation is not deflected

Alpha and beta also deflect in opposite directions because their charges have opposite signs.


Alpha, Beta and Gamma Shielding

A useful simplified comparison is:

Alpha

Can be stopped by:

  • paper
  • outer dead layer of skin
  • a short distance of air

Beta

Can often be significantly reduced by:

  • plastic
  • acrylic
  • thin aluminium

Gamma

Requires much more substantial shielding, such as:

  • lead
  • thick concrete
  • steel
  • sufficient depth of water

Shielding should always be selected for the particular radiation source and energy.


Radiation Protection

Three fundamental principles are used when controlling external radiation exposure:

Time

Reduce unnecessary exposure time.

Distance

Increase distance from the radiation source where practical.

Shielding

Place suitable material between the source and people.

For highly penetrating gamma radiation, all three can be important.


Why Distance Helps

Radiation spreading outward from a small source approximately follows the:

inverse-square law

under suitable conditions.

Intensity is approximately:

I ∝ 1/r²

If distance doubles:

r → 2r

then:

I → I/4

If distance triples:

r → 3r

then:

I → I/9

This makes distance a powerful radiation-protection tool.


Example: Inverse-Square Law

A detector measures:

900 counts/min

at:

1.0 m

Ignoring background and assuming a point-source geometry, what would be expected at 3.0 m?

Use:

I₂/I₁ = r₁²/r₂²

I₂ = 900 × (1²/3²)

I₂ = 900/9

I₂ = 100 counts/min


Example: Gamma Equation

An excited nucleus is:

¹³⁷₅₆Ba*

It emits a gamma photon.

The equation is:

¹³⁷₅₆Ba → ¹³⁷₅₆Ba + ⁰₀γ*

Notice:

Mass number:

137 → 137

Atomic number:

56 → 56

No element change occurs.


Example: Comparing Decay Types

Suppose three nuclei initially have:

A = 100

Z = 50

Alpha decay

A = 96

Z = 48

Beta-minus decay

A = 100

Z = 51

Gamma emission

A = 100

Z = 50

This comparison clearly shows how differently the three processes affect a nucleus.


Example: Shielding Calculation

A particular shielding material has an HVL of:

2.0 cm

How much radiation remains after:

6.0 cm?

Number of HVLs:

n = 6.0/2.0

n = 3

Therefore:

I = I₀(1/2)³

I = I₀/8

So:

12.5% of the original intensity remains

under the assumptions of the HVL model.


Choosing Shielding

When selecting gamma shielding, engineers consider more than simply density.

Important factors include:

  • gamma photon energy
  • required reduction
  • shielding thickness
  • material density
  • structural strength
  • cost
  • secondary radiation
  • available space
  • source geometry

For example:

lead can provide compact shielding.

concrete can provide economical large-scale structural shielding.

water can provide both shielding and useful separation from radioactive materials.


Common Mistakes

Mistake: Saying gamma radiation consists of high-speed electrons.
Those are beta-minus particles. Gamma radiation consists of photons.

Mistake: Saying gamma emission changes atomic number.
Gamma emission does not change Z.

Mistake: Saying gamma emission changes mass number.
Gamma emission does not change A.

Mistake: Saying gamma emission changes one element into another.
The nucleus remains the same nuclide but moves to a lower-energy state.

Mistake: Saying gamma radiation is not ionizing.
Gamma radiation is ionizing, although its interactions differ from those of charged alpha and beta particles.

Mistake: Saying gamma radiation is easily stopped by paper or aluminium foil.
Gamma radiation is highly penetrating.

Mistake: Saying gamma radiation can always be completely stopped by a fixed thickness of lead.
Shielding generally attenuates gamma radiation; thicker shielding progressively reduces intensity.

Mistake: Saying gamma rays are deflected by magnets.
Gamma photons are uncharged and are not deflected by magnetic fields.


Key Terms

Gamma radiation — high-energy electromagnetic radiation emitted during nuclear transitions.

Gamma photon — quantum of gamma electromagnetic radiation.

Excited nucleus — nucleus containing more energy than its lower-energy or ground state.

Ground state — lowest available energy state of a nucleus.

Nuclear transition — change from one nuclear energy state to another.

Electromagnetic radiation — energy transmitted through oscillating electric and magnetic fields in the form of photons.

Photon — quantum of electromagnetic radiation.

Ionizing radiation — radiation capable of causing ionization in matter.

Penetrating power — ability of radiation to travel through matter.

Attenuation — reduction in radiation intensity as radiation passes through matter.

Attenuation coefficient — quantity describing how strongly a material reduces radiation intensity.

Half-value layer (HVL) — material thickness that reduces radiation intensity to half its original value.

Photoelectric absorption — interaction in which a photon transfers its energy to an electron and is absorbed.

Compton scattering — interaction in which a photon transfers some energy to an electron and changes direction.

Pair production — conversion of a sufficiently energetic photon into an electron and positron near a nucleus.

Shielding — material used to reduce radiation exposure.


Key Takeaways

  • Gamma radiation consists of high-energy electromagnetic photons.
  • Gamma photons have no electric charge and no rest mass.
  • Gamma radiation travels at the speed of light in a vacuum.
  • Gamma emission occurs when an excited nucleus moves to a lower-energy state.
  • Gamma emission does not change mass number.
  • Gamma emission does not change atomic number.
  • Therefore, gamma emission does not change the identity of the nuclide.
  • Gamma emission often follows alpha or beta decay when the daughter nucleus is left excited.
  • Gamma radiation is ionizing.
  • Gamma radiation is much more penetrating than alpha or beta radiation.
  • Gamma rays are not deflected by electric or magnetic fields.
  • Gamma radiation interacts with matter through processes including photoelectric absorption, Compton scattering and pair production.
  • Gamma shielding reduces intensity rather than necessarily stopping every photon.
  • Lead is useful when compact, dense shielding is required.
  • Thick concrete is useful for large-scale structural shielding.
  • Water can also provide substantial shielding when used in sufficient depth.
  • Half-value layer describes the thickness needed to reduce intensity by half.
  • Time, distance and shielding are fundamental radiation-protection principles.
  • Gamma radiation has important applications in medicine, industry and scientific research.
  • Its high penetrating power makes gamma radiation useful but also creates a significant external exposure hazard.

Check Your Understanding

  1. What is gamma radiation?
  2. What type of particle carries gamma radiation?
  3. What are the charge and rest mass of a gamma photon?
  4. Explain why an excited nucleus may emit gamma radiation.
  5. What happens to mass number during gamma emission?
  6. What happens to atomic number during gamma emission?
  7. Write the general equation for gamma emission from an excited nucleus.
  8. Explain how gamma emission differs from alpha decay.
  9. Explain how gamma emission differs from beta-minus decay.
  10. Why can gamma radiation sometimes be emitted immediately after alpha or beta decay?
  11. Rank alpha, beta and gamma radiation from lowest to highest penetrating power.
  12. Compare the ionizing and penetrating properties of alpha and gamma radiation.
  13. Why is gamma radiation not deflected by electric or magnetic fields?
  14. Name three materials that can be used to reduce gamma radiation.
  15. Explain why lead is useful for compact gamma shielding.
  16. Explain why concrete is commonly used in radiation facilities.
  17. What is meant by a half-value layer?
  18. A gamma beam passes through four half-value layers. What fraction and percentage of its original intensity remains?
  19. Explain how gamma radiation can be useful in medical imaging despite being hazardous.
  20. Compare alpha, beta and gamma radiation in terms of their nature, charge, effect on the nucleus, penetrating ability and appropriate shielding.
 
 
 

4. Comparing Nuclear Radiation

Learning outcomes
  • I can compare alpha, beta, and gamma radiation.
  • I can compare their charges and masses.
  • I can compare their penetrating abilities.
  • I can compare their ionizing abilities.
  • I can identify suitable shielding materials for each type of radiation.

Comparing Nuclear Radiation

Radioactive nuclei can emit different forms of ionizing radiation. Three of the most important are:

  • alpha (α) radiation
  • beta (β) radiation
  • gamma (γ) radiation

Although all three can transfer energy to matter and cause ionization, they are physically very different. Their differences in mass, charge, penetration and ionization determine both their hazards and their uses.

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8

Alpha Radiation

An alpha particle is the nucleus of a helium-4 atom.

It contains:

  • 2 protons
  • 2 neutrons

It can be represented as:

⁴₂He

or:

⁴₂α

Its charge is:

+2e

Its relative mass is approximately:

4 u

Alpha particles are therefore relatively heavy and strongly charged compared with beta particles.


Beta Radiation

In beta-minus decay, a neutron changes into a proton while an electron and an electron antineutrino are emitted.

The beta-minus particle is:

⁰₋₁e

or:

β⁻

Its charge is:

−e

Its mass is extremely small compared with an alpha particle.

An electron has a mass of approximately:

9.11 × 10⁻³¹ kg

A proton has a mass about:

1836 times greater

than an electron.

Therefore, beta particles are much lighter than alpha particles.


Gamma Radiation

Gamma radiation consists of high-energy:

electromagnetic photons

Gamma radiation is represented:

γ

or:

⁰₀γ

A gamma photon has:

  • no electric charge
  • no rest mass
  • no mass number
  • no atomic number

Gamma radiation is therefore fundamentally different from alpha and beta radiation.

Alpha and beta are material particles.

Gamma is electromagnetic radiation.


Comparing Their Nature

Property Alpha (α) Beta-Minus (β⁻) Gamma (γ)
Nature Helium nucleus Electron Electromagnetic photon
Protons 2 0 0
Neutrons 2 0 0
Charge +2e −e 0
Relative rest mass About 4 u About 1/1836 u 0
Mass number 4 0 0
Typical speed Much less than c Can approach c c in vacuum

Comparing Charge

Alpha particles are positively charged:

q = +2e

Beta-minus particles are negatively charged:

q = −e

Gamma photons are neutral:

q = 0

Therefore:

alpha → positive

beta-minus → negative

gamma → neutral

These differences affect how the radiation behaves in electric and magnetic fields.


Comparing Mass

Alpha particles have by far the greatest rest mass of the three.

An alpha particle contains four nucleons.

Beta particles are electrons and have a much smaller mass.

Gamma photons have:

zero rest mass

Therefore, in terms of rest mass:

alpha >> beta > gamma

with gamma having no rest mass.


Electric Fields

A charged particle in an electric field experiences:

F = qE

Therefore:

  • alpha particles are deflected
  • beta-minus particles are deflected
  • gamma photons are not deflected

Because alpha and beta-minus have opposite charges, they deflect in opposite directions in the same electric field.

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6

Magnetic Fields

A moving charged particle in a magnetic field experiences:

F = |q|vB sin θ

Therefore:

  • alpha particles can be deflected
  • beta particles can be deflected
  • gamma photons are not deflected

Beta particles generally curve much more strongly than alpha particles under comparable conditions because beta particles have much less mass.


Direction of Deflection

Alpha and beta-minus particles have opposite charges.

Therefore, in the same magnetic field with comparable directions of motion:

alpha and beta-minus curve in opposite directions

Gamma radiation travels straight through because:

q = 0

This provides experimental evidence that gamma radiation is electrically neutral.


Penetrating Power

One of the most important differences between alpha, beta and gamma radiation is their ability to pass through matter.

The general order of penetrating ability is:

alpha < beta < gamma

Therefore:

alpha → least penetrating

beta → intermediate

gamma → most penetrating

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6

Alpha Penetration

Alpha radiation has very low penetrating power.

Alpha particles can typically be stopped by:

  • paper
  • clothing
  • outer dead layer of skin
  • a few centimetres of air

This means alpha particles cannot normally penetrate deeply into the body from an external source.

However, alpha-emitting material can be very hazardous if it enters the body.


Beta Penetration

Beta radiation has moderate penetrating power.

Beta particles can pass through paper and can penetrate into skin to some extent.

They can often be substantially reduced or stopped by materials such as:

  • plastic
  • acrylic
  • thin aluminium

The exact range depends on beta-particle energy.


Gamma Penetration

Gamma radiation has very high penetrating power.

Gamma photons can pass through:

  • paper
  • clothing
  • skin
  • significant amounts of body tissue
  • thin sheets of metal

Substantial shielding may be required to reduce gamma intensity.

Materials commonly used include:

  • lead
  • thick concrete
  • steel
  • water

Penetration Comparison

A useful simplified picture is:

Alpha:

source → paper → stopped

Beta:

source → paper → passes through → plastic/aluminium → greatly reduced

Gamma:

source → paper → passes → aluminium → passes → thick lead/concrete → substantially reduced

Gamma radiation is usually described as being attenuated rather than simply stopped.


Why Alpha Radiation Has Low Penetration

Alpha particles are:

  • relatively massive
  • positively charged +2e

They interact very strongly with atoms in matter.

As they travel, they transfer energy rapidly to nearby atoms.

They therefore lose their kinetic energy over a short distance.

This gives alpha radiation:

low penetration

but:

very high ionization


Why Beta Radiation Penetrates Farther

Beta particles are:

  • much lighter than alpha particles
  • charged only ±e

They generally interact less strongly along each unit of path than alpha particles.

Therefore, beta particles usually travel farther before losing their energy.

This gives beta radiation:

moderate penetration

and:

moderate ionization


Why Gamma Radiation Penetrates Farther

Gamma photons have:

  • no charge
  • no rest mass

They do not continuously interact with matter in the same way as charged alpha and beta particles.

A gamma photon may travel a substantial distance before interacting.

Therefore, gamma radiation has:

high penetrating power


Ionization

Ionization occurs when an atom or molecule gains or loses electrons and becomes electrically charged.

Ionizing radiation can transfer enough energy to remove electrons from atoms.

Alpha, beta and gamma radiation are all:

ionizing radiation

However, their ionizing abilities differ.


Comparing Ionizing Ability

The simplified order is:

alpha > beta > gamma

Therefore:

alpha → very strongly ionizing

beta → moderately ionizing

gamma → less strongly ionizing per unit path

This order is approximately the reverse of their penetrating abilities.


Penetration vs Ionization

A useful relationship is:

Radiation Ionizing Ability Penetrating Ability
Alpha Very high Very low
Beta Moderate Moderate
Gamma Lower per unit path Very high

This is not a coincidence.

Radiation that interacts strongly with matter loses its energy quickly.

Therefore:

strong interaction → high ionization → short range

Radiation that interacts less frequently can travel farther.

Therefore:

weaker/fewer interactions → lower ionization density → greater penetration


Why Alpha Is Strongly Ionizing

Alpha particles have a charge of:

+2e

and move relatively slowly compared with beta particles and gamma photons.

Their strong electric interaction with surrounding electrons causes many ionizations over a short path.

Alpha particles therefore deposit a large amount of energy into a small volume of material.

https://images.openai.com/static-rsc-4/NvwzTfunuS2OzK5N8GRWqmDSsJrTBZaEArBVWfyaDlyQMFL50z1TEbR7Nvxr7AgQx5zccHABmcEvfxb3hsMcbdacBqO6dc-BGmSWV9vhEA_qU6-JQkxs_xnbq4AxVpXvtcQ75vs2Z5PGZVA7PDkvhgc7FFwyp24Xu9Hecu0xcAJCV7-5RTceA8sk5DWqFPFt?purpose=fullsize
 
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7

Beta Ionization

Beta particles are charged, so they also interact electrically with atoms.

However, their smaller charge magnitude and very small mass produce different interactions from alpha particles.

Beta particles typically cause:

less dense ionization than alpha particles

but more direct ionization than is usually associated with gamma photons along comparable paths.


Gamma Ionization

Gamma photons are uncharged.

They produce ionization indirectly through interactions such as:

  • photoelectric absorption
  • Compton scattering
  • pair production at sufficiently high energy

These interactions produce energetic charged particles, especially electrons, which then cause further ionization.


Comparing Radiation Tracks

If alpha and beta radiation are observed in a cloud chamber:

Alpha tracks

Tend to be:

  • short
  • thick
  • relatively straight
  • densely ionizing

Beta tracks

Tend to be:

  • longer
  • thinner
  • more irregular
  • less densely ionizing

Gamma photons do not usually produce a continuous visible charged-particle track directly. Their interactions can create energetic electrons that then leave tracks.

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6

Comparing Nuclear Changes

The three forms of radiation also differ in what happens to the nucleus.

Alpha decay

A → A − 4

Z → Z − 2

Example:

²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He

Beta-minus decay

A → A

Z → Z + 1

Example:

¹⁴₆C → ¹⁴₇N + ⁰₋₁e + ν̄ₑ

Gamma emission

A → A

Z → Z

Example:

ᴬ_ZX → ᴬ_ZX + γ*


Complete Nuclear Comparison

Property Alpha Beta-Minus Gamma
Symbol α β⁻ γ
Nature Helium nucleus Electron Photon
Charge +2e −e 0
Rest mass Large Very small Zero
Nuclear mass-number change −4 0 0
Nuclear atomic-number change −2 +1 0
Ionizing ability Very high Moderate Lower per interaction/path
Penetrating ability Very low Moderate Very high
Electric-field deflection Yes Yes No
Magnetic-field deflection Yes Yes No
Typical shielding Paper/skin Plastic/acrylic/thin metal Lead/thick concrete

Shielding Alpha Radiation

Alpha radiation is easy to stop externally.

Suitable barriers include:

  • paper
  • clothing
  • gloves
  • outer dead layer of skin

However, the main safety concern with alpha emitters is often:

preventing contamination

because alpha-emitting material can become much more hazardous if inhaled or ingested.


Shielding Beta Radiation

Suitable beta shielding may include:

  • plastic
  • acrylic
  • thin aluminium

Low-atomic-number materials such as plastic can be particularly useful for energetic beta radiation because they reduce the production of secondary bremsstrahlung compared with using dense high-Z shielding as the first layer.

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6

Shielding Gamma Radiation

Gamma radiation requires much more substantial shielding.

Common materials include:

  • lead
  • thick concrete
  • steel
  • sufficient depth of water

Gamma shielding usually reduces the intensity rather than guaranteeing that every photon is stopped.


Half-Value Layer

For gamma radiation, shielding can be described using the:

half-value layer (HVL)

The HVL is the thickness of a particular material required to reduce the radiation intensity by half.

After one HVL:

I = I₀/2

After two:

I = I₀/4

After three:

I = I₀/8

This demonstrates why thicker shielding produces progressively greater attenuation.


External Radiation Hazards

The penetrating ability of radiation strongly affects external hazard.

Alpha

Usually cannot penetrate through the outer dead layer of skin.

Therefore, direct external penetration is relatively limited.

Beta

Can penetrate into skin and nearby tissues.

Therefore, it can be an external hazard.

Gamma

Can penetrate deeply into the body.

Therefore, gamma radiation can be a significant whole-body external hazard.


Internal Radiation Hazards

If radioactive material enters the body, the situation changes.

Alpha emitters

Can be particularly hazardous internally because alpha particles deposit large amounts of energy over very short distances.

Beta emitters

Can irradiate tissues around the radioactive material over a greater range.

Gamma emitters

Can irradiate tissues over still greater distances and gamma photons may also leave the body.

The actual risk depends on:

  • isotope
  • activity
  • energy
  • exposure time
  • location
  • biological behaviour

Example: Choosing Shielding

Suppose you have three radioactive sources.

Source A emits alpha radiation

Suitable simple barrier:

paper

Source B emits beta radiation

Suitable material:

plastic or acrylic

Source C emits gamma radiation

Suitable shielding:

thick lead or concrete

The shielding must always be appropriate for the particular source energy and activity in real radiation-safety situations.


Example: Identifying Radiation from Penetration

A radioactive source is tested.

The radiation:

  • passes through paper
  • is stopped by a few millimetres of aluminium

This is most consistent with:

beta radiation

Why?

Alpha would have been stopped by paper.

Gamma would generally require much more substantial shielding for strong attenuation.


Example: Identifying Radiation from Fields

Unknown radiation passes between charged plates.

It is strongly deflected toward the positive plate.

The radiation is likely:

beta-minus

because it carries negative charge.

If it were alpha radiation, it would deflect toward the negative plate.

If it were gamma radiation, it would not be deflected.


Example: No Deflection

Unknown radiation passes through both:

  • electric field
  • magnetic field

without deflection.

It also penetrates deeply through matter.

The radiation is most likely:

gamma

because gamma photons:

  • have no charge
  • are highly penetrating

Example: Strong Ionization but Short Range

A radiation source produces particles that:

  • travel only a few centimetres through air
  • are stopped by paper
  • produce dense ionization

The radiation is:

alpha

These characteristics result from its relatively large mass and +2 charge.


Penetration Experiment

A simple classroom investigation can compare radiation penetration using a suitable simulated activity or professionally managed sealed-source demonstration.

Measurements could be taken:

  1. without absorber
  2. with paper
  3. with plastic or aluminium
  4. with thicker shielding

Typical observations might show:

paper strongly reduces alpha

plastic/aluminium strongly reduces beta

dense thick materials are required for substantial gamma reduction

Radioactive-source experiments must follow the institution's radiation-safety procedures.


Background Radiation

Radiation detectors normally register some radiation even when no laboratory source is nearby.

This is called:

background radiation

Possible sources include:

  • cosmic rays
  • rocks and soil
  • radon and its decay products
  • building materials
  • naturally occurring radioactive isotopes
  • medical exposures

When conducting experiments, background count rate should be measured and considered.


Corrected Count Rate

Suppose:

measured source count = 520 counts/min

background count = 40 counts/min

Then:

corrected count = measured count − background count

corrected count:

= 520 − 40

= 480 counts/min

This gives a better estimate of the count associated with the source under those measurement conditions.


Distance and Radiation Exposure

Increasing distance from a source can reduce radiation exposure.

For an approximately point-like source in open space:

I ∝ 1/r²

Therefore, doubling the distance can reduce intensity to approximately:

1/4

and tripling distance can reduce it to approximately:

1/9

This is especially important for penetrating radiation such as gamma radiation.


Time, Distance and Shielding

Three major principles of external radiation protection are:

Time

Minimize unnecessary exposure time.

Distance

Increase distance from the source where appropriate.

Shielding

Place suitable material between the source and people.

The correct shielding depends on the radiation type.


Why One Shield Does Not Suit Every Radiation Type

The densest material is not automatically the best first shielding material for every situation.

For example:

  • alpha needs little external shielding, but containment is important
  • beta may be better initially shielded using lower-Z materials such as plastic
  • gamma generally requires substantial dense shielding

Radiation protection therefore depends on understanding how each type interacts with matter.


Uses and Properties

The different properties of nuclear radiation make different forms useful for different purposes.

Alpha

Strong ionization and short range can be useful in applications such as ionization smoke detectors.

Beta

Moderate penetration can be useful in some thickness-monitoring systems.

Gamma

High penetration can be useful for:

  • medical imaging
  • radiotherapy applications
  • sterilization
  • industrial radiography

The same properties that make radiation useful can also create hazards.


Identifying Unknown Radiation

A useful identification strategy is to ask:

Is it stopped by paper?

Yes → likely alpha

Does it pass paper but get strongly reduced by plastic or thin aluminium?

Likely beta

Does it require substantial dense shielding for strong attenuation?

Likely gamma

Then check field behaviour:

Strongly deflected and negative?

β⁻

Less strongly deflected and positive?

α

Not deflected?

γ


Common Mistakes

Mistake: Saying alpha radiation is the most penetrating.
Alpha is the least penetrating of the three.

Mistake: Saying gamma radiation is not ionizing.
Gamma radiation is ionizing, although it produces less dense ionization than alpha radiation in typical comparisons.

Mistake: Assuming high penetration means high ionization density.
Alpha demonstrates the opposite: very high ionization but very low penetration.

Mistake: Saying gamma rays have a small positive charge.
Gamma photons have zero charge.

Mistake: Saying beta-minus particles are positively charged.
β⁻ particles are electrons and have negative charge.

Mistake: Saying alpha particles are just protons.
An alpha particle contains two protons and two neutrons.

Mistake: Saying paper is suitable shielding for beta radiation.
Beta particles can generally pass through paper.

Mistake: Saying aluminium foil is sufficient protection from all gamma radiation.
Gamma radiation is highly penetrating and usually requires substantial shielding for significant attenuation.

Mistake: Assuming alpha radiation is harmless because skin stops it.
Alpha-emitting material can be particularly hazardous if it enters the body.


Key Terms

Alpha radiation — radiation consisting of helium nuclei containing two protons and two neutrons.

Beta radiation — radiation consisting of high-speed electrons or positrons produced in nuclear decay.

Gamma radiation — high-energy electromagnetic radiation emitted during nuclear transitions.

Ionizing radiation — radiation capable of producing ions in matter.

Ionization — process in which atoms or molecules gain or lose electrons.

Penetrating power — ability of radiation to pass through matter.

Ionizing power — ability of radiation to cause ionization.

Shielding — material placed between a radiation source and people or equipment to reduce radiation exposure.

Attenuation — reduction in radiation intensity as radiation passes through matter.

Half-value layer — thickness of a material required to reduce radiation intensity by half.

Bremsstrahlung — electromagnetic radiation produced when a charged particle, especially a fast electron, is rapidly decelerated.

Background radiation — ionizing radiation continually present in the environment.

Contamination — radioactive material being deposited where it is not intended, including on or inside a person.

Irradiation — exposure of an object or organism to ionizing radiation.


Key Takeaways

  • Alpha, beta and gamma are three important forms of nuclear radiation.
  • Alpha particles contain two protons and two neutrons.
  • Alpha particles have charge +2e and relatively large mass.
  • Beta-minus particles are electrons with charge −e and very small mass.
  • Gamma radiation consists of photons with zero charge and zero rest mass.
  • Alpha and beta radiation can be deflected by electric and magnetic fields.
  • Gamma radiation is not deflected because it is electrically neutral.
  • Penetrating power increases approximately alpha → beta → gamma.
  • Ionizing ability decreases approximately alpha → beta → gamma in the usual introductory comparison.
  • Alpha radiation is stopped easily by paper or the outer layer of skin.
  • Beta radiation can often be shielded using plastic, acrylic or thin metal.
  • Gamma radiation requires substantial shielding such as lead or thick concrete for strong attenuation.
  • Alpha radiation is highly ionizing because it interacts strongly with matter.
  • Gamma radiation is highly penetrating because photons can travel significant distances between interactions.
  • Alpha radiation is generally a smaller external penetration hazard but can be a serious internal contamination hazard.
  • Beta radiation can present both external and internal hazards.
  • Gamma radiation can penetrate deeply into the body from an external source.
  • The appropriate shielding depends on radiation type and energy.
  • Time, distance and shielding are fundamental radiation-protection principles.
  • Understanding the differences between alpha, beta and gamma radiation allows their behaviour, hazards and applications to be predicted.

Check Your Understanding

  1. What is an alpha particle made from?
  2. What is a beta-minus particle?
  3. What is gamma radiation?
  4. State the charge of an alpha particle.
  5. State the charge of a beta-minus particle.
  6. State the charge of a gamma photon.
  7. Rank alpha, beta and gamma from greatest to smallest rest mass.
  8. Rank alpha, beta and gamma from lowest to highest penetrating ability.
  9. Rank alpha, beta and gamma from lowest to highest ionizing ability.
  10. Explain why alpha radiation has low penetrating power.
  11. Explain why gamma radiation has high penetrating power.
  12. Which radiation can normally be stopped by paper?
  13. Which radiation can often be significantly reduced using plastic or thin aluminium?
  14. Which radiation generally requires substantial lead or concrete shielding?
  15. Explain why alpha and beta radiation are deflected in electric fields but gamma radiation is not.
  16. Explain why beta radiation is usually deflected more strongly than alpha radiation in a magnetic field.
  17. Unknown radiation passes through paper but is strongly reduced by a thin aluminium sheet. Identify the most likely radiation and explain your reasoning.
  18. Unknown radiation passes through an electric field without deflection and requires thick dense shielding for substantial attenuation. Identify the radiation.
  19. Explain why an alpha emitter can be more hazardous inside the body than outside it.
  20. Compare alpha, beta and gamma radiation in terms of nature, mass, charge, ionizing ability, penetrating ability and suitable shielding.
 
 
 

5. Detecting Radiation

Learning outcomes
  • I can describe how radiation is detected.
  • I can explain the purpose of a Geiger-Müller counter.
  • I can interpret radiation count data.
  • I can distinguish between background radiation and radioactive sources.
  • I can explain safe procedures for measuring radiation.

Detecting Radiation

Ionizing radiation cannot usually be detected directly by our senses. We cannot reliably:

  • see it
  • hear it
  • smell it
  • taste it
  • feel low levels of it

Instead, radiation detectors use the interactions between radiation and matter to produce measurable signals.

Different detectors can measure:

  • the presence of radiation
  • count rate
  • radiation energy
  • accumulated dose
  • sometimes the type of radiation

One of the most common detectors introduced in school physics is the Geiger-Müller counter.

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9

Why Radiation Can Be Detected

Alpha, beta and gamma radiation are all ionizing radiation.

This means they can cause atoms or molecules to become ions.

A detector can use this ionization to produce an electrical signal.

For example:

radiation enters detector → ionization occurs → electrical pulse produced → pulse counted

This allows invisible radiation to be converted into a measurable signal.


The Geiger-Müller Counter

A Geiger-Müller counter, often called a Geiger counter, is an instrument used to detect ionizing radiation.

It usually consists of:

  • a Geiger-Müller tube
  • a high-voltage supply
  • electronic counting circuitry
  • a display or meter

Some instruments also produce an audible:

click

for each detected event.

The faster the clicks occur, the greater the measured count rate.

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6

Inside a Geiger-Müller Tube

A simplified Geiger-Müller tube contains:

  • a metal cylindrical wall
  • a thin central wire
  • low-pressure gas
  • a high potential difference
  • sometimes a thin window

The central wire acts as an:

anode

The outer wall acts as a:

cathode

A large potential difference exists between them.


How a Geiger-Müller Tube Works

The basic sequence is:

Radiation enters the tube

Ionizing radiation passes into the detector.

Gas atoms are ionized

Radiation transfers energy to gas atoms and can remove electrons.

This produces:

  • positive ions
  • free electrons

Charges accelerate

The electric field inside the tube accelerates the charged particles.

Electrons move toward the positive anode.

Positive ions move toward the cathode.

More ionization occurs

Accelerated electrons can collide with additional gas atoms and produce more ions.

This creates a rapid:

ionization avalanche

An electrical pulse is produced

The movement of charge produces a short electrical pulse.

The pulse is counted

The electronics record the event.

The detector may:

  • display a count
  • calculate count rate
  • produce a click

What Does One Click Mean?

A click represents a detected ionizing event in the tube.

It does not necessarily mean:

  • exactly one radioactive atom decayed
  • exactly one particle left the source
  • all radiation from the source was detected

Only some emitted radiation reaches and interacts with the detector.

Therefore, the Geiger counter measures:

detected events

rather than directly counting every nuclear decay occurring in the source.


Count and Count Rate

Two related measurements are commonly used.

Count

The total number of detected events during a measurement.

Example:

620 counts

Count rate

The number of detected events per unit time.

For example:

310 counts/min

or:

5.2 counts/s

The SI unit of count rate is:

s⁻¹

although counts per minute (counts/min or cpm) are also widely used.


Calculating Count Rate

Use:

count rate = number of counts / measurement time

Suppose a detector records:

840 counts

during:

3 minutes

Then:

count rate = 840/3

count rate = 280 counts/min


Example

A detector records:

450 counts

during:

30 s

Count rate:

= 450/30

= 15 counts/s

If expressed approximately in counts per minute:

15 × 60 = 900 counts/min


Background Radiation

Even when no laboratory radioactive source is deliberately placed near a detector, the detector will usually record some radiation.

This is called:

background radiation

Background radiation is naturally and artificially present in our environment.

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6

Sources of Background Radiation

Background radiation can come from:

  • cosmic rays
  • rocks
  • soil
  • radon gas and its decay products
  • naturally occurring radioactive isotopes
  • building materials
  • food
  • medical sources
  • residual human-made radioactive materials

The amount of background radiation varies with:

  • location
  • altitude
  • geology
  • building materials
  • weather and ventilation
  • recent medical procedures
  • detector type and sensitivity

Cosmic Radiation

High-energy particles arrive at Earth from space.

They interact with Earth's atmosphere and produce secondary radiation.

At higher altitudes there is generally less atmosphere above the observer to absorb this radiation.

Therefore, cosmic-radiation exposure generally increases with:

altitude

This is one reason radiation exposure during frequent high-altitude flying can differ from exposure at sea level.


Radon

Radon is a naturally occurring radioactive gas produced in decay chains involving uranium in rocks and soil.

Radon can enter buildings and accumulate, particularly in poorly ventilated spaces under suitable geological conditions.

Some radon isotopes and their decay products emit alpha radiation.

Radon is an important contributor to natural background radiation in many regions.


Measuring Background Radiation

Before measuring a radioactive source, background radiation should usually be measured first.

A simple procedure is:

  1. Remove the test source from the measurement area.
  2. Place the detector in the chosen position.
  3. Measure the background count for a fixed time.
  4. Calculate the background count rate.
  5. Repeat if greater reliability is required.
  6. Calculate an average background rate.

This value can then be used to correct measurements made with a source present.


Corrected Count Rate

The detector measures:

source contribution + background

Therefore:

corrected count rate = measured count rate − background count rate

This is an important equation in radiation experiments.


Example: Background Correction

Suppose the detector records:

360 counts/min

with a radioactive source present.

The background count rate is:

40 counts/min

Then:

corrected count rate = 360 − 40

corrected count rate = 320 counts/min

This gives a better estimate of the count rate associated with the source under those experimental conditions.


Example: A Weak Source

Suppose:

measured rate = 75 counts/min

background rate = 58 counts/min

Then:

corrected rate = 75 − 58

corrected rate = 17 counts/min

The source signal is relatively small compared with the background.

This means repeated measurements and longer counting times may be particularly important.


Why Background Must Be Considered

Suppose two students measure the same source.

Student A reports:

500 counts/min

Student B reports:

450 counts/min

At first, it appears that Student A measured a stronger source.

But suppose:

Student A background = 100 counts/min

Student B background = 50 counts/min

Corrected A:

500 − 100 = 400 counts/min

Corrected B:

450 − 50 = 400 counts/min

After background correction, the results agree.


Radiation Counts Vary

Radioactive decay is:

random

It is impossible to predict exactly when a particular unstable nucleus will decay.

Therefore, repeated measurements do not normally give exactly the same number of counts.

For example, five measurements might produce:

118, 125, 121, 115, 126 counts

This variation does not automatically mean the detector is faulty.

It is an expected feature of radioactive decay and counting statistics.


Improving Reliability

Reliability can be improved by:

  • counting for longer periods
  • repeating measurements
  • calculating averages
  • keeping the experimental setup unchanged
  • measuring background radiation carefully

Longer counting times usually reduce the importance of random fluctuations relative to the total count.


Example: Average Count Rate

Suppose five one-minute measurements are:

240, 252, 246, 238, 249

Average:

= (240 + 252 + 246 + 238 + 249)/5

= 1225/5

= 245 counts/min

If background is:

35 counts/min

then:

corrected average = 245 − 35

= 210 counts/min


Distinguishing a Source from Background

Suppose a detector normally measures approximately:

30 counts/min

in the room.

A suspected radioactive sample is placed near the detector.

The detector repeatedly records around:

420 counts/min

The large increase strongly indicates that the sample is contributing additional radiation.

However, if the detector changes from:

30 counts/min

to:

33 counts/min

a single measurement would not provide strong evidence by itself because radioactive counts naturally fluctuate.

Repeated or longer measurements would be needed.


Experimental Controls

When comparing radiation measurements, important variables should be kept constant.

These include:

  • source-to-detector distance
  • detector orientation
  • counting time
  • source position
  • shielding
  • detector type

Changing these variables can change the measured count rate.


Distance and Count Rate

Moving a radiation detector farther from a source generally decreases the measured count rate.

For an approximately point-like source in suitable open conditions, radiation intensity may approximately follow:

I ∝ 1/r²

where r is distance from the source.

If distance doubles:

intensity ≈ 1/4

If distance triples:

intensity ≈ 1/9

Background radiation should still be considered when analyzing the measurements.

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9

Example: Distance Investigation

Suppose the corrected count rate at:

10 cm

is:

800 counts/min

If the source behaves approximately like a point source, doubling the distance to:

20 cm

might produce an idealized prediction of:

800/4 = 200 counts/min

At:

30 cm

the idealized prediction would be:

800/9 ≈ 89 counts/min

Real experimental results may differ because of:

  • detector geometry
  • scattering
  • absorption
  • background radiation
  • source size
  • measurement uncertainty

Detecting Different Types of Radiation

A detector can also be used with absorbers to investigate the type of radiation present.

A simplified procedure might compare readings with:

  • no absorber
  • paper
  • plastic or aluminium
  • thicker dense shielding

Typical behaviour:

Alpha

Strongly reduced by paper or a short distance of air.

Beta

Passes through paper but can be strongly reduced by suitable plastic or thin aluminium.

Gamma

Can pass through both and requires much more substantial shielding for significant attenuation.

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7

The Detector Window

Some Geiger-Müller tubes contain a very thin window.

This is especially important when detecting alpha particles.

Alpha radiation has very low penetrating ability.

A thick detector wall could stop the alpha particles before they entered the sensitive gas.

A thin window therefore allows alpha particles to enter the tube more easily.


Detector Efficiency

A detector does not normally record every radioactive decay.

Some emitted radiation:

  • travels in another direction
  • is absorbed before reaching the detector
  • passes through without producing a detectable event
  • falls outside the detector's sensitive region

The fraction of radiation successfully detected is related to:

detector efficiency

This means:

measured count rate ≠ total activity of the source

unless detector efficiency and geometry are properly accounted for.


Count Rate vs Activity

These terms should not be confused.

Count rate

Number of events detected per second.

Unit:

s⁻¹

Activity

Number of nuclear decays occurring per second in the radioactive material.

Unit:

becquerel (Bq)

1 Bq means:

1 nuclear decay per second

A source with an activity of 1000 Bq undergoes:

1000 nuclear decays each second

but a nearby detector may record far fewer than 1000 counts/s.


Why Count Rate May Be Lower Than Activity

Suppose a source has:

activity = 5000 Bq

but a detector records only:

250 counts/s

This does not necessarily indicate an error.

Many emitted particles or photons may never reach the detector.

Others may reach it but fail to produce a recorded event.

Therefore:

activity describes the source

while:

count rate describes what the detector records


Other Radiation Detectors

The Geiger-Müller counter is only one type of radiation detector.

Other detectors include:

  • scintillation detectors
  • semiconductor detectors
  • cloud chambers
  • photographic film
  • personal dosimeters

Different detectors are useful for different purposes.


Scintillation Detectors

A scintillation detector uses a material that produces tiny flashes of light when ionizing radiation deposits energy.

The light is converted into an electrical signal.

Scintillation detectors can be very sensitive and may provide information about radiation energy.

They are widely used in:

  • nuclear physics
  • medical imaging
  • environmental monitoring
  • particle physics
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6

Semiconductor Detectors

Semiconductor detectors use materials such as silicon or germanium.

Radiation passing through the semiconductor produces mobile charge carriers.

These charges create electrical signals that can be measured.

Semiconductor detectors can provide precise information about radiation energy and are widely used in:

  • nuclear spectroscopy
  • particle physics
  • medical technology
  • scientific research

Cloud Chambers

A cloud chamber allows the paths of some charged particles to become visible.

Ionizing particles create trails of ions through a supersaturated vapour.

Droplets form around these ions.

The resulting condensation trail reveals the particle's path.

Typical observations include:

  • alpha → short, thick tracks
  • beta → thinner, longer, more irregular tracks
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Personal Dosimeters

People who work around ionizing radiation may use personal monitoring devices called:

dosimeters

Dosimeters measure accumulated radiation exposure or dose over time.

They may be used by:

  • medical workers
  • nuclear-industry workers
  • researchers
  • radiographers
  • other radiation workers

A dosimeter is different from a simple Geiger counter because it is primarily designed to monitor accumulated exposure.


Safe Radiation Measurements

Radioactive materials used in education or laboratories must be handled according to the institution's approved radiation-safety procedures.

Three important general principles are:

time

distance

shielding


Minimize Time

Reduce unnecessary time near a radioactive source.

A measurement should be:

  • planned before bringing out the source
  • carried out efficiently
  • completed without unnecessary delays

Reducing exposure time generally reduces radiation dose.


Maximize Appropriate Distance

Radiation exposure generally decreases as distance from the source increases.

Therefore:

  • do not hold a source unnecessarily
  • use appropriate handling equipment where required
  • keep sources away from the body except when the procedure specifically requires a measured distance

The experimental distance should still be controlled accurately.


Use Appropriate Shielding

Shielding depends on radiation type.

Alpha

Paper or thin barriers can stop alpha particles externally, but preventing contamination is especially important.

Beta

Plastic or acrylic is often appropriate; thin metal may also reduce beta radiation depending on the source.

Gamma

Substantial shielding such as lead or concrete may be required for strong attenuation.


Do Not Touch Radioactive Sources Unnecessarily

Radioactive sources should not be directly handled unless specifically designed and approved for such handling under the relevant procedures.

In controlled educational settings, sealed sources may be manipulated using appropriate equipment.

The goal is to:

  • increase distance
  • prevent contamination
  • reduce unnecessary exposure

Never Pointlessly Bring a Source Close to the Body

Radioactive sources should not be placed near:

  • eyes
  • face
  • skin
  • clothing

unless part of an approved professional procedure.

They should never be treated as ordinary classroom objects.


Return Sources to Secure Storage

After measurements are complete, radioactive sources should be returned promptly to their approved:

shielded storage location

They should not be left unattended on laboratory benches.


Keep the Setup Consistent

Safe measurement is also good experimental practice.

When taking repeated readings:

  • keep the detector fixed
  • keep source distance fixed
  • use the same counting time
  • avoid unnecessary movement
  • record results immediately

This reduces both:

  • exposure time
  • experimental uncertainty

A Safe Measurement Procedure

A simplified school investigation might follow this sequence:

  1. Set up the detector before bringing the source to the measurement position.
  2. Measure background radiation.
  3. Record the background count rate.
  4. Position the source using the approved handling procedure.
  5. Maintain a fixed source-to-detector distance.
  6. Measure for a predetermined time.
  7. Record the count.
  8. Repeat measurements if required.
  9. Remove the source promptly.
  10. Return it to approved storage.
  11. Calculate average and background-corrected count rates.

This combines radiation safety with good experimental design.


Interpreting a Data Table

Suppose a student obtains:

Measurement Count Rate
Background 28 counts/min
Source at 10 cm 460 counts/min
Source at 20 cm 145 counts/min
Source at 30 cm 82 counts/min

Correct the readings.

At 10 cm:

460 − 28 = 432 counts/min

At 20 cm:

145 − 28 = 117 counts/min

At 30 cm:

82 − 28 = 54 counts/min

The corrected count rate decreases as distance increases.


Interpreting Absorber Data

Suppose:

Absorber Measured Rate
None 720 counts/min
Paper 710 counts/min
Plastic 180 counts/min
Thick lead 42 counts/min
Background 38 counts/min

Paper has almost no effect.

Plastic produces a large reduction.

This suggests a substantial:

beta component

The small remaining signal above background after dense shielding could arise from more penetrating radiation or experimental/statistical effects, depending on the source and setup.


Random Variation in Data

Suppose repeated one-minute measurements are:

153, 141, 158, 147, 151

The readings vary because radioactive decay is random.

It would be incorrect to expect:

153, 153, 153, 153, 153

every time.

Instead, scientists use:

  • repeated measurements
  • averages
  • statistical uncertainty

to interpret radiation data.


Why Longer Measurements Help

Suppose a detector records approximately:

2 counts/s

In 5 seconds, we might expect only about:

10 counts

Random variation could be a large fraction of this result.

In 100 seconds, we might expect about:

200 counts

The random fluctuations are still present, but they are usually a smaller fraction of the total.

Therefore:

longer counting times generally improve the relative statistical reliability of count-rate measurements.


Detecting a Weak Radioactive Source

A weak source may produce a signal only slightly above background.

Suppose:

background = 52 counts/min

source + background = 61 counts/min

Corrected rate:

61 − 52 = 9 counts/min

Because the difference is small, a single short measurement is not convincing.

Better practice would include:

  • longer measurement times
  • repeated measurements
  • average values
  • statistical analysis where appropriate

Common Mistakes

Mistake: Assuming a Geiger counter measures only artificial radioactive sources.
It also detects background radiation.

Mistake: Forgetting to subtract background radiation.
The detector reading includes both the source contribution and background.

Mistake: Assuming every click equals one decay in the source.
The detector records only radiation that reaches it and produces a detectable event.

Mistake: Confusing activity with count rate.
Activity describes nuclear decays in the source; count rate describes events detected.

Mistake: Expecting identical readings every time.
Radioactive decay is random.

Mistake: Changing the distance during repeated measurements.
Distance can strongly affect count rate.

Mistake: Measuring background for only a very short time when precision matters.
Longer measurements can reduce relative random uncertainty.

Mistake: Handling radioactive sources casually because they are small.
Radioactive materials require approved handling procedures regardless of physical size.


Key Terms

Radiation detector — device used to detect ionizing radiation.

Geiger-Müller counter — instrument that detects ionizing radiation using electrical pulses produced in a Geiger-Müller tube.

Geiger-Müller tube — gas-filled detector in which radiation causes ionization and an electrical avalanche.

Ionization — process in which atoms or molecules gain or lose electrons.

Count — total number of detected radiation events.

Count rate — number of detected events per unit time.

Background radiation — ionizing radiation naturally and artificially present in the environment.

Corrected count rate — measured count rate after subtracting background count rate.

Activity — number of nuclear decays occurring each second.

Becquerel (Bq) — SI unit of activity; 1 Bq = 1 decay/s.

Detector efficiency — measure of how effectively a detector records radiation associated with a source.

Random decay — unpredictable decay of individual unstable nuclei.

Scintillation detector — detector that converts energy deposited by radiation into flashes of light and then electrical signals.

Semiconductor detector — detector that uses radiation-produced charge carriers in a semiconductor.

Cloud chamber — device that makes tracks of ionizing charged particles visible.

Dosimeter — device used to monitor accumulated radiation exposure or dose.


Key Takeaways

  • Ionizing radiation cannot normally be detected directly by human senses.
  • Radiation detectors convert interactions between radiation and matter into measurable signals.
  • A Geiger-Müller counter is commonly used to detect ionizing radiation.
  • Radiation ionizes gas inside a Geiger-Müller tube.
  • The resulting ionization avalanche produces an electrical pulse.
  • Each detected event may produce a count or audible click.
  • Count rate is the number of detected events per unit time.
  • Background radiation is present even when no deliberate radioactive source is nearby.
  • Background radiation comes from sources including cosmic radiation, rocks, soil and radon.
  • Corrected count rate = measured count rate − background count rate.
  • Radioactive decay is random, so repeated counts naturally vary.
  • Longer counting times and repeated measurements improve reliability.
  • Distance, detector orientation and counting time should be controlled during experiments.
  • Count rate is not the same as source activity.
  • Activity is measured in becquerels.
  • A detector does not normally record every nuclear decay.
  • Absorbers can help distinguish between alpha, beta and gamma radiation.
  • Safe radiation measurements follow approved laboratory procedures.
  • Time, distance and shielding are fundamental radiation-safety principles.
  • Good experimental design improves both measurement quality and radiation safety.

Check Your Understanding

  1. Why can't people normally detect ionizing radiation directly with their senses?
  2. What is the purpose of a Geiger-Müller counter?
  3. Describe the basic structure of a Geiger-Müller tube.
  4. Explain how radiation entering a Geiger-Müller tube produces an electrical pulse.
  5. What does a count represent?
  6. Define count rate.
  7. A detector records 900 counts in 3 minutes. Calculate the count rate.
  8. What is background radiation?
  9. Identify four sources of background radiation.
  10. Why should background radiation be measured before investigating a radioactive source?
  11. A detector measures 480 counts/min with a source and 35 counts/min without it. Calculate the corrected count rate.
  12. Why do repeated radiation measurements normally give slightly different results?
  13. Explain two ways to improve the reliability of radiation count data.
  14. Explain why source-to-detector distance must be controlled during an experiment.
  15. Distinguish between activity and count rate.
  16. What does an activity of 500 Bq mean?
  17. Explain why a detector might record far fewer counts per second than the activity of the source.
  18. Describe how absorbers could be used with a detector to help distinguish alpha, beta and gamma radiation.
  19. State the three general radiation-protection principles of time, distance and shielding.
  20. Design a safe procedure for measuring the count rate from a sealed radioactive source, including background correction and steps to improve reliability.