Nuclear Reactions

Key idea: Write balanced nuclear equations and apply conservation of nucleon number, charge, and mass–energy to nuclear processes (A Level Physics).

  • GCE A-Level H2 Physics 2027
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Learning objectives

  • Apply conservation laws to nuclear equations and beta decay, including antineutrino evidence.

1. Definitions (Must Know)

A. Nuclear reaction

A nuclear reaction involves a change in the nucleus (rearrangement of nucleons), producing new nuclides and/or particles.

B. Nuclear equation

A nuclear equation is a balanced equation written in nuclide notation, e.g.: ¹⁴₇N + ⁴₂He → ¹⁷₈O + ¹₁H

C. Conservation laws (nuclear processes)

In nuclear processes, you apply conservation of:

  • nucleon number A
  • charge (proton number) Z
  • mass–energy
  • momentum

2. Key Ideas (What Earns Marks)

  • Balance nuclear equations by checking A and Z separately (both must match on left and right).
  • If products have greater total mass than reactants, the reaction needs input kinetic energy (endothermic).
  • If reactants have greater total mass than products, energy is released (exothermic): E_released = Δ m c²
Fast workflow
  1. Write nuclide notation.
  2. Balance A (top numbers).
  3. Balance Z (bottom numbers).
  4. Only then interpret the physics (energy released/absorbed).

3. Detailed Explanations

A. How balancing works

Example idea: if you know three of the four nuclides/particles, the missing one can be found by:

  • subtracting nucleon numbers to match A,
  • subtracting proton numbers to match Z.

B. Energy considerations

Define the mass defect for a reaction: Δ m = m_reactants-m_products

Then:

  • if Δ m > 0, energy is released,
  • if Δ m < 0, energy must be supplied.

4. Common Mistakes

  • Balancing A but forgetting to balance Z.
  • Treating γ emission as changing A or Z (it does not; γ is a photon).
  • Using chemical symbols without nuclide notation when the question expects ^A_ZX.

5. Exam Tips

  • State explicitly what is conserved: “nucleon number and charge are conserved”.
  • Use a quick check: sum of top numbers left = sum of top numbers right; same for bottom numbers.
  • If asked about energy: always link to E = Δ m c².

6. Worked Examples

Modelled example 1

Finding a missing particle

Core

Problem

Complete ⁹₄Be + ⁴₂He → ¹²₆C + X.
Study the worked solution
  1. Conserve nucleon number

    Method

    The missing particle has A = 1.

    Reason

    The left side contains 13 nucleons and carbon-12 accounts for 12.

    Working

    9 + 4 = 12 + A_X ⇒ A_X = 1
  2. Conserve charge

    Method

    The missing particle has Z = 0.

    Reason

    The reactant and carbon charge totals are already six.

    Working

    4 + 2 = 6 + Z_X ⇒ Z_X = 0
  3. Identify the particle

    Method

    X is a neutron, ¹₀n.

    Reason

    The nuclide numbers A = 1, Z = 0 identify a neutron.

    Working

    ⁹₄Be + ⁴₂He → ¹²₆C + ¹₀n

Common misconception 2

Conservation statement

Find and correct the mistake

Learner claim

For ¹⁴₇N + ⁴₂He → ¹⁷₈O + ¹₁H, a learner checks A and Z and says these are the only quantities that nuclear reactions conserve. Verify the two number checks and correct the statement.

Try this before viewing the solution

View solution step by step
  1. Verify nucleon number

    Method

    A is balanced at 18.

    Reason

    Nucleon number must match across the equation.

    Working

    14 + 4 = 18 and 17 + 1 = 18
  2. Verify charge

    Method

    Z is balanced at 9.

    Reason

    Total electric charge must also match.

    Working

    7 + 2 = 9 and 8 + 1 = 9
  3. Complete the conservation statement

    Method

    Mass-energy and momentum must also be conserved.

    Reason

    Balancing nuclide notation is necessary but does not by itself demonstrate the reaction’s energy or momentum accounting.

    Working

    conserved: A, charge, mass-energy and momentum

7. Mind Stretchers

Mind stretcher 1: Why does γ emission often accompany nuclear reactions?Extension

Show Answer

Products are often formed in excited nuclear energy states. Emitting a γ photon allows the nucleus to lose energy and reach a lower (more stable) state without changing A or Z.

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Course and syllabus information
Course
GCE A-Level H2 Physics
Edition
GCE A-Level H2 Physics 2027