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5.2.3a Radioactive decay

Radioactive decay is an unstable nucleus rebuilding itself

Definition

Radioactive decay

A change in an unstable nucleus that can result in the emission of an alpha particle or a beta particle, and / or gamma radiation.

  1. Decay happens in the nucleus, not in the electron shells, which is why it is a completely different kind of change from a chemical reaction.
  2. It is spontaneous: no outside condition triggers it, and nothing you do to the sample can speed it up or slow it down.
  3. It is also random: every unstable nucleus in a sample has the same chance of decaying in the next second, and there is no way to tell which one will go.
  4. Randomness for one nucleus still gives predictability for a sample, because a speck of material contains an enormous number of nuclei and the average behaviour of that many is reliable.
  5. This is the same logic as rolling dice: you cannot predict a single roll, but you can predict fairly closely how many sixes appear in ten thousand rolls.

Why a nucleus becomes unstable in the first place

Definition

Radioactive isotope

An isotope whose nucleus is unstable, so that it decays and emits nuclear radiation.

  1. Stability depends on the combination of protons and neutrons, so two isotopes of the same element can behave completely differently.
  2. There are two reasons an isotope turns out to be radioactive.
    1. The nucleus has an excess of neutrons compared with the number of protons, so the mixture is out of balance.
    2. The nucleus is simply too heavy, holding so many nucleons that it cannot stay together whatever the mixture; every nucleus heavier than lead is unstable.
  3. Decaying is how the nucleus fixes the problem, because each emission leaves behind a nucleus that is more stable than the one before it.
  4. One decay is often not enough, so a very heavy nucleus such as uranium goes through a whole series of decays before it finally arrives at a stable nucleus of lead.

Alpha and beta decay change the atom into a different element

  1. The identity of an element is set by its number of protons, so anything that alters the proton number turns the atom into a different element altogether.
  2. Both alpha decay and beta decay do exactly that, so in each case the nucleus left behind belongs to a new element.
  3. The starting nucleus is called the parent and the one produced is the daughter.
  4. Gamma emission is the exception: it carries away only energy, leaving the proton number untouched, so the element does not change.
  5. Gamma rarely happens on its own, because it usually follows an alpha or beta decay that has left the new nucleus holding surplus energy.

A thorium nucleus decaying by beta emission into a daughter nucleus of a different element, which then sheds surplus energy as gamma radiation

Common Mistake
  • Do not say a nucleus decays "when it gets old" or "once it has enough energy"; every unstable nucleus has the same chance of decaying at any moment.
  • Do not treat decay as a chemical process; bonding, dissolving and burning all leave the nucleus untouched.
  • Do not say gamma emission changes the element; only alpha and beta do that.
  • Do not describe the emitted particle as something the nucleus was "storing"; it is produced at the moment of decay.
  • Do not confuse random with unpredictable in bulk; a large sample behaves in a very regular way.
Exam technique
  • "Spontaneous" and "random" mean different things and are usually worth a mark each, so define both: nothing causes it, and you cannot predict which nucleus or when.
  • If a question describes heating, freezing or reacting a source, the expected answer is no change, with the reason attached.
  • When asked why an isotope is radioactive, name the actual cause: too many neutrons or too heavy a nucleus, rather than the circular "because it is unstable".
  • Fluctuating count-rate data in a question is a prompt about randomness, so say so rather than blaming the equipment.
Self review
  • What is radioactive decay?
  • Explain what is meant by saying decay is spontaneous and random.
  • Give two reasons why the nucleus of an isotope may be unstable.
  • Which two types of decay change the nucleus into that of a different element?
  • Why does gamma emission leave the element unchanged?
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An atom has a tiny nucleus containing protons and neutrons. The proton number ZZZ is the number of protons, and the mass number AAA is the total number of protons and neutrons.

Isotopes are atoms of the same element with the same proton number but different numbers of neutrons. Some isotopes are unstable because the nucleus is too heavy or has an unbalanced number of neutrons compared with protons.

Radioactive decay is a nuclear change in which an unstable parent nucleus becomes a daughter nucleus and may emit α\alphaα, β−\beta^-β−, or γ\gammaγ. It is spontaneous, meaning no external trigger is needed, and random, meaning you cannot predict exactly when one nucleus will decay. Heating, cooling, pressure, or chemical reactions do not control it.

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Which statement correctly describes the characteristics of radioactive decay?

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What defines an atom as an isotope?

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