Radioactive Decay – Alpha, Beta, Gamma
Understand the three types of nuclear radiation and how unstable nuclei decay to become more stable

Nuclear Radiation
Alpha, beta, and gamma decay
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.
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.
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.
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.
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
Alpha Decay (α)
Particle emitted: ⁴₂He (helium nucleus)
Mass number change: -4
Atomic number change: -2
Stopped by: Paper
Example Decay Equations
Uranium-238 → Thorium-234
Radium-226 → Radon-222
Penetrating Power Comparison
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
Radioactivity
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
Which type of radiation is stopped by a sheet of paper?