Beta-plus decay, neutrons and nuclear equations

Unstable nuclei can give out alpha particles, beta-minus particles (electrons), beta-plus particles (positrons), gamma rays or neutrons. Each changes the nucleus in a different way.

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What each emission is

EmissionWhat it isRelative massCharge
Alpha (α)2 protons + 2 neutrons (a helium nucleus)4+2
Beta-minus (β−)A fast electron from the nucleusabout 0.0005−1
Beta-plus (β+)A fast positron (the antiparticle of the electron)about 0.0005+1
Gamma (γ)High-frequency EM radiation00
Neutron (n)A neutron10

How the nucleus changes

Alpha: mass number −4, atomic number −2.
Beta-minus: a neutron turns into a proton and an electron. Mass number unchanged, atomic number +1.
Beta-plus: a proton turns into a neutron and a positron. Mass number unchanged, atomic number −1.
Gamma: the nucleus rearranges and loses energy. No change to either number. Gamma is often given out after alpha or beta decay.
Neutron emission: mass number −1, atomic number unchanged.

Balancing nuclear equations

The mass numbers must add up to the same total on both sides, and so must the atomic numbers (charges).
Beta-minus: carbon-14 (6 protons) → nitrogen-14 (7 protons) + electron
Beta-plus: carbon-11 (6 protons) → boron-11 (5 protons) + positron
Alpha: uranium-238 (92 protons) → thorium-234 (90 protons) + alpha particle
Worked example

Fluorine-18 (atomic number 9) decays by beta-plus emission. Find the mass number and atomic number of the new nucleus.

  1. Beta-plus: a proton becomes a neutron.
  2. Mass number stays 18.
  3. Atomic number goes down by 1: 9 − 1 = 8 (oxygen).

Answer: Mass number 18, atomic number 8 (oxygen-18)

Key idea

Alpha: −4 mass, −2 atomic number. Beta-minus: neutron → proton, atomic number +1. Beta-plus: proton → neutron, atomic number −1. Gamma: no change. Neutron emission: mass number −1. Balance mass numbers and atomic numbers in nuclear equations.

Key words
Atomic number
The number of protons in the nucleus of an atom.
Mass number
The total number of protons and neutrons in a nucleus.
Alpha particle
Two protons and two neutrons (a helium nucleus). Strongly ionising, stopped by paper or a few cm of air.

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Quick check

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Extra practice

2 more questions

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  1. Carbon-11 (atomic number 6) decays by beta-plus emission. What is the atomic number of the new nucleus?

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    Answer: 5

    A proton changes into a neutron, so the atomic number falls by 1: 6 − 1 = 5.

  2. Carbon-14 (atomic number 6) decays by beta-minus emission. What is the atomic number of the new nucleus?

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    Answer: 7

    A neutron changes into a proton, so the atomic number rises by 1: 6 + 1 = 7.

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Sources and references

Checked by the GCSE-ready editorial team, 17 October 2026. Last updated 2 October 2026. Spotted a mistake? Tell us and we will fix it.

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