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5.2.3Nuclear Physics

Radioactive Decay — Cambridge IGCSE Physics 0625 Revision Notes & Topical Questions

5 min read 11 parts Lesson 13 of 17 1 quiz

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Curriculum Equation Key Radioactive Decay & Half-Life FormulasFast Exam Solution
N(t) = N₀ × (1/2)t / t½ | λ = ln(2) / t½ ≈ 0.693 / t½ | E = Δm × c²
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Lesson summary

5.2.3 Radioactive Decay — IGCSE PHYSICS notes: Explain that radioactive decay is random and spontaneous, describe how alpha, beta and gamma emission change the nucleus and write balanced decay equations.Radioactive decay = the change in an unstable nucleus that emits alpha, beta …

  • Too many neutrons
  • Very heavy nuclei
  • Neutron–proton balance
  • Occurrence
  • Parent nucleus
  • Daughter nucleus

Part 1 of 9Radioactive decay

Radioactive decay
Radioactive decay the change in an unstable nucleus that emits alpha, beta or gamma radiation.
Spontaneous
  • Spontaneous it is not affected by temperature, pressure or chemical state.
Random
  • Random it is impossible to predict which nucleus will decay or when.
Chain
  • Chain decay continues through a series of nuclei until a stable nucleus is reached.

Part 2 of 9Why nuclei are unstable (Extended)

Too many neutrons
  • Too many neutrons isotopes with too many neutrons compared with protons tend to undergo beta decay, which reduces the neutron:proton ratio.
Very heavy nuclei
  • Very heavy nuclei the forces holding them together are weaker, so they tend to undergo alpha decay to become lighter and more stable.
Neutron–proton balance
  • Neutron–proton balance stable light nuclei have about as many neutrons as protons, while heavy nuclei need more.
Hydrogen
  • Hydrogen hydrogen-1 is stable, and tritium is unstable.
    • (2 neutrons to 1 proton)

Part 3 of 9Alpha decay

Change
  • Change the nucleus loses 2 protons and 2 neutrons.
Numbers
  • Numbers the nucleon number A decreases by 4 and the proton number Z decreases by 2.
Result
  • Result a different element forms.
    • (the daughter nucleus)

Part 4 of 9Beta decay

Change
  • Change a neutron changes into a proton and an electron, and the electron is emitted.
Numbers
  • A is unchanged and Z increases by 1.
Result
  • Result a different element forms.

Part 5 of 9Gamma emission

Change
  • Change the nucleus loses excess energy.
Numbers
  • A and Z are unchanged and it is the same element.
Occurrence
  • Occurrence gamma emission often follows alpha or beta decay.

Part 6 of 9Decay equations (Extended)

Alpha
  • AZX → A−4Z−2Y + 42He.
Beta
  • AZX → AZ+1Y + 0−1e.
Gamma
  • AZX → AZX + γ.
Balancing
  • Balancing the totals of nucleon numbers and of proton numbers are equal on both sides.
Notation
  • Notation beta is 0−1e, alpha is 42He and gamma is 00γ.

Part 7 of 9Writing a decay equation

1
Write the parent nucleus in nuclide notation.
2
Identify the emission and write its symbol.
3
Subtract so that the nucleon numbers balance to find A of the daughter.
4
Balance the proton numbers to find Z of the daughter.
5
Use Z to name the new element and check the totals on both sides.

Part 8 of 9Effect on the nucleus

DecayEmittedChange in AChange in Z
Alpha42He−4−2
Beta0−1e (neutron to proton)0+1
Gammaγ00

Part 9 of 9More from the specification

More from the specification
Alpha and beta particle deflection in magnetic fields
  • Alpha and beta particle deflection in magnetic fields perpendicular magnetic fields exert Lorentz forces deflecting charged emissions, providing a means of sorting.
Radioactive decay
  • Radioactive decay random emission of ionising particles from an unstable atomic nucleus
Half-life
  • Half-life time for the activity or number of undecayed nuclei of a source to fall to half
Background count
  • Background count radiation from rocks, air and cosmic rays that must be subtracted from a source's count rate
Alpha, beta and gamma
  • Alpha, beta and gamma alpha is a helium nucleus with positive charge and strongest ionisation, beta is a fast electron, gamma is electromagnetic radiation with the weakest ionisation
Radioactive decay
  • Radioactive decay random emission of ionising particles from an unstable atomic nucleus
Half-life
  • Half-life time for the activity or number of undecayed nuclei of a source to fall to half
Background count
  • Background count radiation from rocks, air and cosmic rays that must be subtracted from a source's count rate
Alpha, beta and gamma
  • Alpha, beta and gamma alpha is a helium nucleus with positive charge and strongest ionisation, beta is a fast electron, gamma is electromagnetic radiation with the weakest ionisation
Background radiation
  • Radiation that is always present in the environment.
Penetrating power
  • How far radiation travels through a material.
Ionising power
  • How strongly radiation ionises atoms.
Electric field
  • Region of space in which a charge experiences a force.
Magnetic field
  • Area around a magnet where its effects can be detected.
Kinetic energy
  • K = ½mv2, energy of motion.
Half-life
  • Time for half the nuclei of an isotope to decay.
Source
  • Reservoir at TH providing heat QH
Charge
  • Quantity of electricity in coulombs, Q = It.
    What the symbols mean: Q = charge (C) · I = current (A) · t = time (s)
Detector
  • An instrument that records the particles produced in collisions.

Key terms

TermMeaning
Radioactive decaySpontaneous random change in an unstable nucleus that emits radiation.
Parent nucleusThe nucleus before decay.
Daughter nucleusThe nucleus formed by decay.
Alpha decayLoss of 2 protons and 2 neutrons.
Beta decayA neutron changes into a proton and an electron.

Avoid these mistakes

1
Saying temperature or chemical state affects decay — it does not.
2
Using +1 for the nucleon number in beta decay — A stays the same.
3
Saying gamma emission forms a new element — it does not.
4
Not balancing both the top and bottom numbers in a decay equation.

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