Beta Decay

Unit 3

Beta Decay

The Weak Force is most known by Modern Physics for particle decay.

4 min read

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.

There are 3 Types of Beta Decay.

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

Type Parent Isotope Decay Equation Daughter Isotope Half-life
β⁻ Carbon-14 614C714N+e+νˉe ^{14}_{6}C \rightarrow ^{14}_{7}N + e^- + \bar{\nu}_e Nitrogen-14 5,730 years
β⁻ Strontium-90 3890Sr3990Y+e+νˉe ^{90}_{38}Sr \rightarrow ^{90}_{39}Y + e^- + \bar{\nu}_e Yttrium-90 29 years
β⁺ Carbon-11 611C511B+e++νe ^{11}_{6}C \rightarrow ^{11}_{5}B + e^+ + \nu_e Boron-11 20 minutes
β⁺ Fluorine-18 918F818O+e++νe ^{18}_{9}F \rightarrow ^{18}_{8}O + e^+ + \nu_e Oxygen-18 110 minutes
Electron capture Potassium-40 1940K+e1840Ar+νe ^{40}_{19}K + e^- \rightarrow ^{40}_{18}Ar + \nu_e Argon-40 1.25 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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