E.3.17 (HL)—Discrete nuclear energy levels
- Syllabus
- First assessment 2025
- Objective
- —
- Level
- HL
Use nuclear spectra
Alpha and gamma radiation can contain discrete energies. Since E=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.
Questions explain how fixed gamma photon energies or multiple decay routes provide evidence for quantized nuclear levels.
Explain / State
Mention fixed/discrete photon energies, use E=hf, and connect each photon to a difference between nuclear energy levels.
Saying only that gamma radiation is electromagnetic without linking fixed photon energies to level differences.
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=N0e−λt, A=λN, and T1/2=ln2/λ. The continuous beta spectrum is explained by neutrino energy sharing.