E.3.15 (HL)—Neutron-proton ratio

Syllabus
First assessment 2025
Objective
Level
HL

Relate Neutron-Proton Ratio

HL only

Light stable nuclei

For small proton numbers, stable nuclei tend to have similar numbers of neutrons and protons, so NZN\approx Z.

Heavy stable nuclei

As ZZ increases, proton–proton electromagnetic repulsion grows. Stable heavy nuclei therefore need extra neutrons to add strong-force binding without adding proton repulsion, so N>ZN>Z.

Read the stability band

The line of stable nuclides bends above N=ZN=Z at larger ZZ. 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 NZN\approx Z is useful for light nuclei.

E.3.15 (HL) Exam Analysis

HL only

Assessment in practice

1–2 marks
How it is assessed

Questions interpret the N–Z stability graph and identify beta-minus regions.

Command terms

Identify / Infer

What earns marks

Read the graph relative to N=Z and explain the extra-neutron trend using electromagnetic repulsion and strong-force binding.

Watch for

Claiming all stable nuclides have N>Z or reading the beta-minus region without relating it to the stability band.

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.