The Hong Kong Polytechnic University · FACULTY OF PHYSICS

HTI5205 Chap.5 Atomic and Nuclear Structure

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Chapter 5 of 10 · HTI5205

Atomic and Nuclear Structure

Atomic models are organised here by the evidence that forced each revision. Rutherford scattering replaced diffuse positive charge with a small dense nucleus, and Bohr's discrete stationary states addressed atomic spectra. Nuclear bookkeeping then uses atomic number, neutron number and mass number to read nuclides and balance changes.

Binding energy follows from mass defect, while fission and fusion release energy when products are more tightly bound. The method chapter treats every symbol as an accounting statement that can be audited before interpretation.

Read models as evidence-driven revisions

Thomson's picture placed electrons within diffuse positive charge.

Most alpha particles passing through foil and a small fraction scattering through large angles required positive charge and most mass to occupy a compact nucleus. Bohr retained that nucleus and added discrete stationary electron energies to explain spectral structure.

Each later model keeps useful features and changes the assumption that failed, so model comparison should name both the observation and the revision.

Expand every nuclide symbol

Atomic number Z is the proton count and identifies the element. Neutron number N counts neutrons, and mass number A equals Z plus N.

Isotopes share Z while differing in N; isomers share nuclear composition but occupy different energy states. Electron count depends on charge state and is not fixed by A. Writing Z, N and A beside a symbol turns nuclear notation into an auditable inventory.

Balance transformations before naming them

Alpha emission lowers A by four and Z by two because the emitted particle contains two protons and two neutrons.

Gamma emission changes nuclear energy state without changing A or Z. Any proposed nuclear equation must conserve total nucleon count and charge across the arrow.

This balance should be checked before interpreting penetration, hazard or decay energy, because an unbalanced transformation cannot be repaired by later explanation.

Interpret mass defect as binding

A bound nucleus has less mass than its separated constituents. The difference corresponds to binding energy through mass-energy equivalence.

Fission and fusion can release energy when their products occupy a more tightly bound arrangement. Do not say that mass simply disappears; the complete system conserves mass-energy. Connecting the measured mass difference to binding provides the physical explanation behind the arithmetic.

In this chapter

What this chapter covers

  • 01

    Thomson and Rutherford models

  • 02

    Bohr stationary states

  • 03

    Atomic and neutron numbers

  • 04

    Isotopes and isomers

  • 05

    Mass defect and binding energy

  • 06

    Fission and fusion

Worked example · free

Expand nuclide notation

Q [6 marks]. The displayed marks are an AskSia study allocation, not the University marking scheme. A neutral nuclide has A = 59 and Z = 27. Find proton, neutron and electron counts.
Scattering forces positive charge into a compact nucleus, while atomic spectra force electron energies into discrete states rather than arbitrary orbits.Scattering forces positive charge into a compact nucleus, while atomic spectra force electron energies into discrete states rather than arbitrary orbits.Thomsondiffuse chargeRutherforddense nucleusBohrquantised energieseach model retains evidence and changes the permitted electron picture
Scattering forces positive charge into a compact nucleus, while atomic spectra force electron energies into discrete states rather than arbitrary orbits.
  • 2Read protons from Z.
  • 2Subtract Z from A for neutrons.
  • 2Use neutrality for electrons.
The nucleus contains 27 protons. Neutron count is 59 − 27 = 32. A neutral atom has 27 electrons. The electron count comes from the stated neutrality, not from mass number.
Sia tip — Write N = A − Z before deciding anything about isotope identity.
Glossary

Key terms

Atomic Number
The proton count that identifies the element.
Mass Number
The total number of protons and neutrons in a nucleus.
Isotope
A nuclide with the same proton number and a different neutron count.
Mass Defect
The difference between separated constituent mass and bound nuclear mass.
Binding Energy
The energy associated with holding a nucleus together.
FAQ

Atomic and Nuclear Structure FAQ

What did Rutherford scattering change?

Most particles passed through while a small fraction scattered through large angles, which was incompatible with diffuse positive charge. The result required most mass and positive charge to occupy a very small nucleus.

How do isotopes differ?

Isotopes belong to the same element and therefore share atomic number Z. They differ in neutron number and consequently in mass number A. Electron count is a separate issue determined by charge state.

Does mass vanish in a nuclear reaction?

No. A bound system can have less mass than its separated constituents, and the difference corresponds to binding energy through E = mc squared. Total mass-energy is conserved even when rest mass distribution changes.

What should I balance in a nuclear equation?

Check total nucleon number and total charge independently before naming the decay. Electron count is handled separately through charge state. These inventories expose an impossible transformation before later interpretation.

Study strategy

Exam move

Practise converting each nuclide symbol into Z, N and A, then balance sample decay equations by total nucleon count and charge. Review atomic models as observation-to-revision pairs, because naming the experimental failure is more useful than memorising a timeline alone. Make one card for each model with three prompts: what was retained, what observation failed and what assumption changed.

For nuclides, add a separate electron-count column that is completed only after charge state is known. Work mass-defect calculations with mass units shown before applying mass-energy equivalence, then state that total mass-energy is conserved. Finish by distinguishing isotope, isobar and isomer with invented examples rather than memorised names.

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