E.3.15 (HL)—Neutron-proton ratio
- Syllabus
- First assessment 2025
- Objective
- —
- Level
- HL
Light stable nuclei
For small proton numbers, stable nuclei tend to have similar numbers of neutrons and protons, so N≈Z.
Heavy stable nuclei
As Z increases, proton–proton electromagnetic repulsion grows. Stable heavy nuclei therefore need extra neutrons to add strong-force binding without adding proton repulsion, so N>Z.
Read the stability band
The line of stable nuclides bends above N=Z at larger Z. Nuclei on either side can decay toward the band, often through beta decay.
Common trap
Do not say every stable nucleus has more neutrons than protons. The approximation N≈Z is useful for light nuclei.
Questions interpret the N–Z stability graph and identify beta-minus regions.
Identify / Infer
Read the graph relative to N=Z and explain the extra-neutron trend using electromagnetic repulsion and strong-force binding.
Claiming all stable nuclides have N>Z or reading the beta-minus region without relating it to the stability band.
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.