HomePhysicsP7: Radioactivity and ParticlesP7.2 Radioactive Decay – Alpha, Beta, Gamma

P7: Radioactivity and Particles

P7.1 Atomic Structure and Nuclear CompositionP7.2 Radioactive Decay – Alpha, Beta, GammaP7.3 Half-life Applications and Safety
P7: Radioactivity and Particles

Radioactive Decay – Alpha, Beta, Gamma

Understand the three types of nuclear radiation and how unstable nuclei decay to become more stable

Radioactive decay concept

Nuclear Radiation

Alpha, beta, and gamma decay

What is Radioactivity?
Understanding nuclear instability

Radioactivity is the spontaneous emission of particles or energy from an unstable nucleus. Some nuclei have too many or too few neutrons, making them unstable. To become more stable, they emit radiation in the form of alpha particles, beta particles, or gamma rays.

This process is random—we cannot predict when a particular nucleus will decay, but we can measure the average rate of decay for a large sample using half-life.

Alpha Decay (α)
The largest and least penetrating radiation

In alpha decay, the nucleus emits an alpha particle—a helium nucleus containing 2 protons and 2 neutrons (⁴₂He). This reduces the mass number by 4 and the atomic number by 2.

²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He

Uranium-238 decays to Thorium-234

Alpha particles are strongly ionizing but have low penetrating power—they're stopped by paper or a few centimetres of air.

Beta Decay (β⁻)
A neutron becomes a proton

In beta decay, a neutron converts into a proton, emitting a high-speed electron (beta particle) and an antineutrino. The mass number stays the same, but the atomic number increases by 1.

¹⁴₆C → ¹⁴₇N + ⁰₋₁e

Carbon-14 decays to Nitrogen-14

Beta particles are moderately ionizing and moderately penetrating—they're stopped by a few millimetres of aluminium.

Gamma Decay (γ)
High-energy electromagnetic radiation

After alpha or beta decay, the nucleus is often left in an excited state. It releases excess energy as a gamma ray—a high-energy photon. Gamma decay doesn't change the mass number or atomic number.

Gamma rays are weakly ionizing but highly penetrating—they require thick lead or concrete to significantly reduce their intensity.

Half-life
Measuring the rate of decay

The half-life is the time taken for half the radioactive nuclei in a sample to decay. After one half-life, 50% of the original nuclei remain. After two half-lives, 25% remain. After three, 12.5% remain.

N = N₀ × (½)^(t/T)

Where N₀ = initial nuclei, t = time, T = half-life

Radioactive Decay Simulator
Explore alpha, beta, and gamma decay with half-life calculations

Alpha Decay (α)

Particle emitted: ⁴₂He (helium nucleus)

Mass number change: -4

Atomic number change: -2

Stopped by: Paper

Example Decay Equations

²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He

Uranium-238 → Thorium-234

²²⁶₈₈Ra → ²²²₈₆Rn + ⁴₂He

Radium-226 → Radon-222

Penetrating Power Comparison

PaperAluminiumLeadαβγ

Half-life Calculator

Initial nuclei: 1000

Half-life: 10 seconds

Time elapsed: 0 seconds (0.00 half-lives)

Remaining Nuclei

1000

100.0%

Decayed Nuclei

0

0.0%

Half-lives Passed

0.00

Formula: N = N₀ × (½)^(t/T) where N₀ = 1000, t = 0s, T = 10s
N = 1000 × (½)^(0/10) = 1000 × (½)^0.00 = 1000

Key Terms Flashcards
Click the card to reveal the definition

Radioactivity

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Worked Example
Completing a decay equation

Question:

Radium-226 (²²⁶₈₈Ra) undergoes alpha decay. Write the decay equation and identify the daughter nucleus.

Answer:

Alpha decay emits ⁴₂He, so:

New mass number = 226 - 4 = 222

New atomic number = 88 - 2 = 86 (Radon)

²²⁶₈₈Ra → ²²²₈₆Rn + ⁴₂He

Test Your Knowledge
Question 1 of 6

Which type of radiation is stopped by a sheet of paper?