Beta Decay

Unit 3

Beta Decay

This is the easiest way to see the **Law of Conservation of Substance** at work.

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Beta decay is the most common type of radioactive decay, observed in over 97% of all known unstable nuclides.

It is where a nucleus transforms by emitting a beta particle (an electron or anti-electron) and an antineutrino or neutrino.

This is the easiest way to see the Law of Conservation of Substance at work.

There are 3 Types of Beta Decay.0

1. β⁻ Decay (Electron Emission)

A neutron converts into a proton, emitting an electron and an electron-antineutrino. The atomic number increases by 1, mass number unchanged.

2. β⁺ Decay (Positron Emission)

A proton converts into a neutron, emitting an anti-electron and an electron-neutrino. The atomic number decreases by 1.

3. Electron Capture

A proton-rich nucleus absorbs an inner-shell electron, which combines with a proton to form a neutron and emit a neutrino.

Examples

TypeParent IsotopeDecay EquationDaughter IsotopeHalf-life
β⁻Carbon-14614C→714N+e−+νˉe ^{14}_{6}C \rightarrow ^{14}_{7}N + e^- + \bar{\nu}_e Nitrogen-145,730 years
β⁻Strontium-903890Sr→3990Y+e−+νˉe ^{90}_{38}Sr \rightarrow ^{90}_{39}Y + e^- + \bar{\nu}_e Yttrium-9029 years
β⁺Carbon-11611C→511B+e++νe ^{11}_{6}C \rightarrow ^{11}_{5}B + e^+ + \nu_e Boron-1120 minutes
β⁺Fluorine-18918F→818O+e++νe ^{18}_{9}F \rightarrow ^{18}_{8}O + e^+ + \nu_e Oxygen-18110 minutes
Electron capturePotassium-401940K+e−→1840Ar+νe ^{40}_{19}K + e^- \rightarrow ^{40}_{18}Ar + \nu_e Argon-401.25 billion years

Practical Applications

  • Radiocarbon dating – Carbon-14 beta decay measures the age of organic artifacts.
  • PET scans – Positron-emitting isotopes like Fluorine-18 annihilate with electrons, producing gamma rays for medical imaging.
  • Nuclear reactors – Beta decay of fission products produces delayed neutrons essential for reactor control.
  • Betavoltaic batteries – Beta particles generate electricity in long-lasting pacemaker batteries.

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