Nuclear Reactions
Key idea: Write balanced nuclear equations and apply conservation of nucleon number, charge, and mass–energy to nuclear processes (A Level Physics).
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The core idea
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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
- Write nuclide notation.
- Balance A (top numbers).
- Balance Z (bottom numbers).
- 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
Problem
Study the worked solution
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 = 1Conserve 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 = 0Identify 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
Learner claim
Try this before viewing the solution
View solution step by step
Verify nucleon number
Method
A is balanced at 18.Reason
Nucleon number must match across the equation.Working
14 + 4 = 18 and 17 + 1 = 18Verify charge
Method
Z is balanced at 9.Reason
Total electric charge must also match.Working
7 + 2 = 9 and 8 + 1 = 9Complete 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