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ATOMIC STRUCTURE · CHAPTER 4 OF 12

What is radioactive decay?

Some nuclei stay unchanged. Others can change without warning, giving out radiation. What changes, what leaves the nucleus, and why can’t we predict the next decay?

By the end, you’ll be able to…

  • explain radioactive decay using unstable nuclei, randomness and spontaneous change
  • identify alpha, beta minus, beta plus, gamma and neutron radiation
  • explain ionisation and compare alpha, beta and gamma radiation
  • describe activity, use becquerels and distinguish activity from count rate.

It starts in the nucleus

Some isotopes have unstable nuclei. An unstable nucleus can change and emit radiation, releasing energy and moving towards a more stable state. This process is called radioactive decay.

The change may produce a different nucleus or leave the nucleus in a lower-energy state. A product can still be unstable and decay again.

Radioactive decay is spontaneous: it does not need an external trigger. Ordinary changes in temperature, pressure or chemical conditions do not change the decay probability of the isotope. It is also random: we cannot predict exactly when a particular nucleus will decay.

INTERACTIVE ISOTOPE COMPARISON

Same element. Different stability.

Compare the two carbon isotopes, then reveal which one is radioactive.

Carbon-12

++++++

6 protons · 6 neutrons

Stable or radioactive?

Carbon-12 is stable. Its nucleus does not undergo radioactive decay.

Carbon-14

++++++

6 protons · 8 neutrons

Stable or radioactive?

Carbon-14 is radioactive. Its unstable nucleus can undergo beta-minus decay. The nuclear change is explored in Chapter 5.

* Pink + particles are protons; white particles are neutrons. The faint circles indicate approximate nuclear extent, not a wall. Diagrams are not to scale. There is no simple rule that every isotope with more neutrons is radioactive.

INTERACTIVE DECAY OBSERVATION

Which nucleus will decay next?

Choose a nucleus to watch. Select “Observe the sample”. A yellow halo and “D” mark nuclei that have decayed; “U” means undecayed.

1 · U1 · D
2 · U2 · D
3 · U3 · D
4 · U4 · D
5 · U5 · D
6 · U6 · D
7 · U7 · D
8 · U8 · D
9 · U9 · D
10 · U10 · D
11 · U11 · D
12 · U12 · D
13 · U13 · D
14 · U14 · D
15 · U15 · D
16 · U16 · D
17 · U17 · D
18 · U18 · D
19 · U19 · D
20 · U20 · D
21 · U21 · D
22 · U22 · D
23 · U23 · D
24 · U24 · D
What should you notice?

Nuclei do not decay in a queue or at evenly spaced times. Identical undecayed nuclei do not come with individual countdown clocks.

For a particular radioactive isotope, an undecayed nucleus has a constant probability of decay per unit time. Large samples show predictable overall patterns, even though individual decays are unpredictable. We explore half-life in Chapter 7.

* This is a scripted illustration of irregular timing, not a random-number simulation. Reset repeats the same sequence. The symbols stand for nuclei; emitted radiation and changes inside each nucleus are omitted. Decayed nuclei remain present.

Random does not mean that a nucleus is “due” to decay because it has waited a long time. We cannot identify the next nucleus or its exact decay time.

What can leave an unstable nucleus?

Nuclear radiation may be particles or electromagnetic radiation. Alpha, beta and gamma radiation all come from changes in the nucleus. They are not the same thing as an outer electron changing shell.

INTERACTIVE RADIATION EXPLORER

Meet the emissions

Select a type of radiation. Watch what leaves the nucleus and how the nucleus changes after emission.

Alpha decay: a helium nucleus leaves

Nucleus 4 p + 4 n 2 p + 2 n Alpha particle (α)
What changes? The nucleus loses two protons and two neutrons. Its atomic number decreases by 2 and its mass number decreases by 4.

Two protons and two neutrons leave together. Relative charge +2; relative mass 4.

An alpha particle is a helium nucleus, not a whole helium atom. It contains no electrons.

Beta-minus decay: a neutron becomes a proton

− Nucleus 3 p + 4 n 4 p + 3 n Electron (β−)
What changes? One neutron changes into a proton. The atomic number increases by 1, but the mass number stays the same.

A high-speed electron is emitted. Relative charge −1; relative mass approximately 1/1836.

The electron is created during the nuclear change. It does not come from an electron shell. An antineutrino is also emitted but is not shown.

Beta-plus decay: a proton becomes a neutron

+ Nucleus 4 p + 3 n 3 p + 4 n Positron (β+)
What changes? One proton changes into a neutron. The atomic number decreases by 1, but the mass number stays the same.

A high-speed positron is emitted. Relative charge +1; relative mass approximately 1/1836.

A positron is the electron's antiparticle. It has the same mass but opposite charge. A neutrino is also emitted but is not shown.

Gamma emission: the nucleus loses energy

Nucleus 3 p + 4 n Higher energy Lower energy Gamma photon (γ)
What changes? The nucleus loses energy. The numbers of protons and neutrons remain unchanged, so atomic number and mass number stay the same.

Gamma radiation has no electric charge and no rest mass.

Gamma radiation is electromagnetic radiation. It carries energy away from an excited nucleus rather than removing a proton or neutron.

Neutron emission: one neutron leaves

Nucleus 3 p + 4 n 3 p + 3 n Neutron (n)
What changes? The nucleus loses one neutron. Its atomic number stays the same, but its mass number decreases by 1.

An uncharged neutron is emitted. Relative charge 0; relative mass approximately 1.

Neutron emission can occur from some unstable or highly excited nuclei. Neutrons are particles from the nucleus, not electromagnetic waves.
+ Proton Neutron

* The nucleus remains in the same position while its composition changes. Each animation cycle represents a new decay event, not repeated decay of one nucleus. Small symbolic nuclei illustrate the counting rules; they are not verified decay examples for particular isotopes. Speeds, sizes and distances are not to scale.

Radiation can ionise atoms

Alpha, beta minus, beta plus and gamma radiation are ionising. They can transfer enough energy to remove an electron from an atom. Losing a negative electron leaves a positive ion.

Ionisation changes an atom’s electrons. Radioactive decay changes its nucleus. These are different processes.

INTERACTIVE IONISATION MODEL

Remove an electron. What is left?

Select the button to show an electron removed by energy transferred from ionising radiation. Select it again to reset.

+−Neutral hydrogen atomPositive hydrogen ionRemoved electron
The proton stays in the nucleus. Removing the electron leaves a net charge of +1. The atom is ionised; its nucleus has not undergone radioactive decay.

* A simplified hydrogen example. The energy-transfer event is omitted; the moving electron illustrates the outcome. Not to scale.

Which radiation gets through?

Alpha particles produce many ionisations over a short distance, so they lose energy quickly. Beta particles are less strongly ionising and penetrate farther. Gamma rays are weakly ionising compared with alpha and beta radiation, but are much more penetrating.

INTERACTIVE SHIELDING EXPLORER

Add a barrier

Select a barrier. Compare how far each line continues. A faded gamma line means reduced intensity, not slower radiation.

Alpha · αBeta · βGamma · γBarrier position
No solid barrier is shown. These lines compare transmission over a short distance; they are not range measurements.
Paper stops alpha particles. Beta and gamma radiation can pass through the paper in this simplified comparison.
A few millimetres of aluminium stop typical beta particles and also stop alpha particles. Gamma radiation can still pass through.
Thick lead absorbs a substantial fraction of gamma radiation, reducing its intensity. It does not guarantee that every gamma photon is stopped. Alpha and beta particles are also stopped.

* The diagram compares typical behaviour; penetration depends on radiation energy and absorber thickness. It does not show particles to scale. Thick concrete can also reduce gamma intensity.

Compare their properties

RadiationIonising powerTypical range in airShielding
AlphaStrongA few centimetresPaper or the outer dead layer of skin
BetaMediumUp to a few metresA few millimetres of aluminium
GammaWeak compared with alpha and betaLong range; intensity decreases with distance and absorptionThick lead or concrete reduces intensity

* These are approximate comparisons, not fixed distances for every source. Beta includes beta-minus electrons and beta-plus positrons; their detailed interactions can differ.

“Weakly ionising” does not mean harmless. Gamma radiation can penetrate deeply into the body. Alpha radiation can be particularly hazardous if an alpha-emitting material gets inside the body. We compare hazards in Chapter 8.

How active is a source?

Activity is the number of nuclear decays per second in a source. Its unit is the becquerel (Bq). An activity of 1 Bq means one decay per second on average.

Activity refers to the source. Count rate is the number of counts registered by a detector per second (or per minute). A detector usually records only some of the radiation emitted, and it may also detect background radiation. Its count rate is not automatically equal to the source’s activity.

To calculate average activity from a known number of decays:

Average activity = number of decays ÷ time in seconds

Because decay is random, measured counts fluctuate. Average over an interval rather than expecting exactly the same number every second.

Three worked examples

These examples give the actual number of nuclear decays, rather than a detector’s recorded counts.

Calculate average activity:

240 decays occur in 60 s. Calculate the average activity.

Average activity = number of decays ÷ time

Average activity = 240 ÷ 60

Average activity = 4 Bq

Calculate average activity:

900 decays occur in 30 s. Calculate the average activity.

Average activity = number of decays ÷ time

Average activity = 900 ÷ 30

Average activity = 30 Bq

Calculate average activity:

1500 decays occur in 1 minute. Calculate the average activity. Use 60 s.

Average activity = number of decays ÷ time

Average activity = 1500 ÷ 60

Average activity = 25 Bq

INTERACTIVE ACTIVITY CHECK

Does 200 Bq mean 200 detector counts?

A source has an activity of 200 Bq. A nearby detector records 35 counts per second. Must one of the readings be wrong?
Try again. Activity describes decays in the source; count rate describes detections.
Correct. The detector may register only some emissions, and background can contribute to its count rate. The two readings need not match.
Try again. A detector usually misses many emissions. Its reading also depends on background and the measurement arrangement.
INTERACTIVE QUICK CHECK

Check your understanding

Choose one answer for each question. Feedback appears underneath.

1. What does random radioactive decay mean?
Try again. Identical nuclei do not all have the same individual waiting time.
Correct. Individual decay times are unpredictable, although large samples show predictable overall patterns.
Try again. Large samples show patterns that we can describe statistically.
2. Which description of beta-minus radiation is correct?
Correct. A neutron changes into a proton and an electron is emitted from the nucleus.
Try again. A shell transition is different from beta-minus decay.
Try again. That describes an alpha particle.
3. Which statement correctly compares alpha and gamma radiation?
Try again. Alpha loses energy rapidly through ionisation and has a short range.
Try again. Gamma transfers energy through interactions that can remove electrons.
Correct. Strong ionisation and high penetration are different properties.
INTERACTIVE CHALLENGE

“A source is 50 Bq, so the detector must click exactly 50 times every second. Heating it will make its nuclei decay faster.” Explain the mistakes.

Use activity, detection, randomness and spontaneous decay in your explanation.

Reveal the answer

50 Bq means 50 nuclear decays per second on average. Randomness means the number in a particular second can vary.

A detector does not necessarily register every emission. Its reading depends on the arrangement and detection efficiency, and background radiation can add counts.

Radioactive decay does not need heating to trigger it. For GCSE purposes, ordinary changes in temperature, pressure or chemical conditions do not change the decay probability of the isotope.

CHAPTER 4

Chapter summary

  • Unstable nuclei undergo spontaneous, random radioactive decay and emit radiation.
  • Individual decay times cannot be predicted, but large samples show predictable patterns.
  • Alpha particles are helium nuclei; beta minus particles are electrons; beta plus particles are positrons.
  • Gamma radiation is electromagnetic radiation. Some nuclei emit neutrons.
  • Ionising radiation can remove electrons from atoms. This differs from changing the nucleus.
  • Alpha is strongly ionising and weakly penetrating; gamma is less strongly ionising and more penetrating.
  • Activity is decays per second, measured in Bq. Detector count rate is a different measurement.