IGCSE 0625 / Section 5.2.3 / Core

Balancing the nucleus.

When a nucleus decays it does not vanish, it transforms, and the bookkeeping is exact. Count the nucleons and the protons before and after, and they always balance.

The key idea

In alpha decay the nucleon number falls by 4 and the proton number by 2. In beta decay the nucleon number stays the same and the proton number rises by 1. A decay equation must balance the nucleon numbers and the proton numbers on both sides.

Definition · learn the exact words

In alpha decay the nucleus loses 2 protons and 2 neutrons; in beta decay a neutron changes into a proton, emitting an electron.

alpha: A falls by 4, Z falls by 2 · beta: A unchanged, Z rises by 1

A decay equation must balance both the nucleon numbers and the proton numbers.

Section 01

Watch the nucleus change.

Trigger alpha and beta decays and see how the nucleon and proton numbers shift.

Stage 1 · Learn

Check decay equations

Four quick checks. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

In alpha decay, the nucleon number...

Quick check+10 XP

In alpha decay, the proton number...

Quick check+10 XP

In beta decay, the nucleon number...

Quick check+10 XP

In beta decay, the proton number...

Section 02

Two changes to remember.

Alpha drops both numbers; beta keeps the nucleon number but raises the proton number.

Worked example

A nucleus with nucleon number 226 and proton number 88 emits an alpha particle. Find the daughter nucleus numbers.

Nucleon number226 − 4 = 222
Proton number88 − 2 = 86
Resultdaughter has nucleon number 222, proton number 86
Examiner trap

In alpha decay both numbers fall, the nucleon number by 4 and the proton number by 2. In beta decay the nucleon number does not change; only the proton number rises by 1 as a neutron becomes a proton. Always balance both numbers.

Stage 2 · Exam

Exam-style questions

Unlocks once the four checks above are done. Worth more XP, written in the style of Paper 2.

Finish the four checks above to unlock the exam questions
Exam style+20 XP

A nucleus of nucleon number 226 and proton number 88 emits an alpha particle. The daughter nucleus has...

Exam style+20 XP

When a nucleus emits a beta particle, its proton number and nucleon number change as follows...

Exam style+20 XP

Carbon-14 (proton number 6) decays by beta emission. The daughter nucleus has a proton number of...

Skill unlocked

Decay equations, mastered.

Decay equations are mapped. Keep the chain going.

-Rank -Level -Score -Topics
Go deeper · practice
Six original Cambridge-style questions
How alpha and beta decay change the nucleon and proton numbers, and balancing decay equations. Attempt each, then reveal the worked solution.
Stage 3 · master the unit
Nuclear physics challenge
Mixed questions across the whole unit, each one worth XP. Start this only when you feel confident across every topic in the unit, not just decay equations.
Start the unit challenge →