Radioactivity ยป Nuclear Decay

What you'll learn this session

Study time: 30 minutes

Edexcel spec: 7.7

  • What happens to the atomic number and mass number when a nucleus gives out alpha, beta, gamma or neutron radiation
  • Why alpha and beta emission turn the atom into a different element
  • How to fill in a summary table of the four types of radiation
  • How to work out the new nucleus after a decay

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A nucleus changes when it decays

You have met the numbers that describe a nucleus and the radiations an unstable nucleus can give out. Now put them together. When a nucleus gives out radiation, it is called nuclear decay. The nucleus left behind can have different numbers of protons and neutrons from before. So we ask two questions each time: what happens to the atomic number (the number of protons), and what happens to the mass number (protons plus neutrons)?

The atomic number decides which element an atom is. So if the atomic number changes, the atom becomes a new element.

Key terms:

  • Nuclear decay: an unstable nucleus changing by giving out radiation.
  • New element: an atom with a different number of protons from before.

Alpha emission

An alpha particle is 2 protons and 2 neutrons. When the nucleus throws one out, it loses 2 protons and 2 neutrons.

  • The mass number goes down by 4, because 4 particles have gone.
  • The atomic number goes down by 2, because 2 of them were protons.
  • The atomic number has changed, so the atom is a new element.

Worked example

Uranium-238 has 92 protons. It emits an alpha particle.
Mass number: 238 − 4 = 234.
Atomic number: 92 − 2 = 90.
The new nucleus has 90 protons and mass number 234. An element with 90 protons is thorium, so uranium-238 becomes thorium-234.

Beta emission

A beta particle is a fast electron, but there are no electrons inside the nucleus to start with. Instead, a neutron changes into a proton and an electron. The electron is thrown out as the beta particle and the new proton stays in the nucleus.

  • The mass number is unchanged, because a neutron has become a proton and the total number of protons and neutrons is the same.
  • The atomic number goes up by 1, because there is one more proton.
  • The atomic number has changed, so the atom is a new element.

Worked example

Carbon-14 has 6 protons and 8 neutrons. It emits a beta particle.
Mass number: stays at 14.
Atomic number: 6 + 1 = 7.
The new nucleus has 7 protons and 7 neutrons. An element with 7 protons is nitrogen, so carbon-14 becomes nitrogen-14.

Gamma and neutron emission

💡 Gamma (γ)

A gamma ray is a burst of energy, not a particle of matter. The nucleus does not lose any protons or neutrons. The mass number and the atomic number both stay the same. It is still the same element. Gamma rays are often given out after an alpha or a beta particle, when the nucleus still has spare energy to get rid of.

🔄 Neutron

Some nuclei throw out a single neutron. The mass number goes down by 1 because one particle has gone. The atomic number stays the same, because the number of protons has not changed. So it is still the same element, but it is a different isotope of it.

Worked example

Imagine a nucleus with 7 protons and 10 neutrons, mass number 17, that emits a neutron.
Mass number: 17 − 1 = 16.
Atomic number: stays at 7.
It now has 7 protons and 9 neutrons: the same element with one fewer neutron, so an isotope of the same element.

Summary table

Learn this table. It is one of the most useful things to be able to write from memory.

RadiationMass numberAtomic numberNew element?
AlphaDown by 4Down by 2Yes
BetaNo changeUp by 1Yes
GammaNo changeNo changeNo
NeutronDown by 1No changeNo (an isotope of the same element)

This lesson uses words only. Writing the decay as a full balanced equation comes in the next lesson, Balancing Nuclear Equations. What each radiation is made of and how far it travels was covered in Alpha, Beta and Gamma Radiation.

Common mistakes

Common mistakes

  • Saying beta emission changes the mass number. It does not. A neutron becomes a proton, so the total stays the same.
  • Saying the atomic number goes down by 4 for alpha. The 4 is the mass number change. The atomic number goes down by 2.
  • Saying an electron was sitting in the nucleus before. The electron is made when a neutron changes into a proton.
  • Saying neutron emission makes a new element. The number of protons is the same, so it is the same element.

Exam-style question

(a) A nucleus of radium-226 has an atomic number of 88. It emits an alpha particle. State the mass number and the atomic number of the nucleus that is left. [2 marks]

(b) A nucleus of sodium-24 has an atomic number of 11. It emits a beta particle. Describe what happens to its mass number and its atomic number. [2 marks]

(c) Explain why the emission of a gamma ray does not turn an atom into a new element. [2 marks]

Model answer

(a) Mass number 222 (1) and atomic number 86 (1).
(b) The mass number stays the same, at 24 (1). The atomic number goes up by 1, to 12 (1).
(c) A gamma ray is energy only, so no protons or neutrons are lost (1). The atomic number stays the same, so it is still the same element (1).

Exam tip

For part (a), write the two sums down: 226 − 4 and 88 − 2. Do not do them in your head, because mixing up the 4 and the 2 is the easiest way to lose both marks.

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