E.3.17 (HL)—Discrete nuclear energy levels

Syllabus
First assessment 2025
Objective
Level
HL

Read Discrete Nuclear Levels

HL only

Use nuclear spectra

Alpha and gamma radiation can contain discrete energies. Since E=hfE=hf, fixed photon frequencies correspond to fixed energy differences between nuclear states.

Infer nuclear quantization

A line spectrum means the nucleus changes between allowed, discrete energy levels rather than a continuous range. Different transitions produce different alpha or gamma energies.

Use multiple routes

If two decay routes lead to the same final state, their energy relationships can reveal shared intermediate nuclear levels. Treat the routes as evidence about the level structure.

Common trap

Do not infer continuous nuclear energies from a continuous beta spectrum; beta continuity has a different explanation involving the neutrino.

E.3.17 (HL) Exam Analysis

HL only

Assessment in practice

1–2 marks
How it is assessed

Questions explain how fixed gamma photon energies or multiple decay routes provide evidence for quantized nuclear levels.

Command terms

Explain / State

What earns marks

Mention fixed/discrete photon energies, use E=hf, and connect each photon to a difference between nuclear energy levels.

Watch for

Saying only that gamma radiation is electromagnetic without linking fixed photon energies to level differences.

Retrieve the HL Nuclear Model

HL only

Retrieve the HL evidence

Nuclear stability, scattering deviations, the N–Z stability band and discrete alpha/gamma spectra reveal the strong interaction and quantized nuclear levels.

Retrieve the decay equations

Use N=N0eλtN=N_0e^{-\lambda t}, A=λNA=\lambda N, and T1/2=ln2/λT_{1/2}=\ln2/\lambda. The continuous beta spectrum is explained by neutrino energy sharing.