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Topic 18

Atomic structure and isotopes

IB MYP Physics · Atomic physics · MYP Years 4–5

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Every atom is mostly empty space, with almost all of its mass packed into a tiny nucleus. We know this because of a century of experiments that kept overturning the previous model — a textbook case of how models change when evidence demands it.

🎯What you need to be able to do

  • Describe the structure of an atom and the relative charge and mass of protons, neutrons and electrons.
  • Use nuclide notation \( ^{A}_{Z}\text{X} \) to find the numbers of each particle.
  • Define isotopes and give examples.
  • Describe how models of the atom developed, including the alpha-scattering experiment.
  • Explain how atoms become ions, and why the size of an atom is so different from its nucleus.

⚛️Inside the atom

An atom has a tiny, dense, positively charged nucleus made of protons and neutrons (together called nucleons), surrounded by electrons arranged in shells (energy levels).

ParticleRelative massRelative chargeWhere
proton1+1nucleus
neutron10nucleus
electronabout 1/1840−1shells around the nucleus

An atom is neutral because it has the same number of electrons as protons. It is about \( 10^{-10} \) m across, while its nucleus is about \( 10^{-15} \) m — a hundred thousand times smaller. If the atom were a football stadium, the nucleus would be a pea on the centre spot.

🔢Nuclide notation

Nuclide notation for carbon-14: the symbol C with mass number 14 written top left and atomic number 6 written bottom left. Labels explain that the mass number is protons plus neutrons and the atomic number is the number of protons, so carbon-14 has 6 protons, 8 neutrons and 6 electrons.
Mass number on top, atomic number below: neutrons = A − Z.
  • Atomic (proton) number \( Z \) — the number of protons. It defines the element: every carbon atom has 6.
  • Mass (nucleon) number \( A \) — the number of protons plus neutrons.
  • Neutrons = \( A - Z \).

👥Isotopes

Isotopes are atoms of the same element (same number of protons) with different numbers of neutrons, and so different mass numbers. Carbon-12 has 6 neutrons and carbon-14 has 8; both are carbon and react identically in chemistry, because chemistry depends on the electrons. Some isotopes have unstable nuclei and are radioactive (see Topic 19).

✏️Worked example: counting particles

Uranium-235 is written \( ^{235}_{92}\text{U} \), and uranium-238 is \( ^{238}_{92}\text{U} \). How many protons, neutrons and electrons are in a neutral atom of each? Why are they the same element?

U-235: 92 protons, 235 − 92 = 143 neutrons, 92 electrons.

U-238: 92 protons, 238 − 92 = 146 neutrons, 92 electrons.

Same element because both have 92 protons. They are isotopes: they differ only in the number of neutrons.

Check: protons + neutrons must give the mass number: 92 + 143 = 235 ✓, 92 + 146 = 238 ✓.
The trap: giving the mass number as the number of neutrons. It is the total of protons and neutrons.

⚡Ions

If an atom loses or gains electrons it becomes an ion. Losing electrons makes a positive ion; gaining them makes a negative ion. The nucleus is unchanged. A sodium atom (11 protons, 11 electrons) that loses one electron becomes Na+ with 11 protons and 10 electrons.

📜How the model of the atom developed

Timeline of atomic models: Dalton's solid sphere (1803); Thomson's plum pudding, a positive sphere with electrons embedded (1897); Rutherford's nuclear model with a tiny positive nucleus and electrons around it (1911); Bohr's model with electrons in fixed shells (1913); and the discovery of the neutron in the nucleus by Chadwick (1932).
Each model replaced the last when new evidence did not fit it.
  1. Dalton (1803): atoms are tiny, indivisible solid spheres; each element has its own kind.
  2. Thomson (1897) discovered the electron, so atoms could not be indivisible. His “plum pudding” model: a ball of positive charge with electrons scattered through it.
  3. Rutherford, Geiger and Marsden (1909–1911) fired alpha particles at thin gold foil. Most went straight through, so the atom is mostly empty space. A few were deflected, and about 1 in 8000 bounced almost straight back — only possible if the positive charge and mass were concentrated in a tiny nucleus. The plum-pudding model could not explain this.
  4. Bohr (1913): electrons orbit in fixed shells at particular energies, explaining the line spectra of elements.
  5. Chadwick (1932) discovered the neutron, accounting for the extra mass in the nucleus.

🌎Science in context: models are tools

No model of the atom is “the truth”; each is a tool that explains some evidence. Chemists still use Bohr’s shells to explain bonding, even though quantum mechanics describes electrons as clouds of probability. Recognising a model’s limitations — and how scientists test and replace models — is exactly what Criterion D rewards.

🧠Quick check

1. How many protons, neutrons and electrons are in \( ^{27}_{13}\text{Al} \)?

13 protons, 27 − 13 = 14 neutrons, 13 electrons.

2. What is an isotope?

An atom of the same element (same number of protons) with a different number of neutrons.

3. Why is an atom electrically neutral?

It has equal numbers of protons (+1 each) and electrons (−1 each), so the charges cancel.

4. What did the fact that most alpha particles passed straight through the gold foil show?

That the atom is mostly empty space.

5. Why did a few alpha particles bounce back?

They came close to a tiny, dense, positively charged nucleus and were strongly repelled by it.

6. An oxygen atom (8 protons) gains two electrons. What is the ion and how many electrons does it have?

O2−, with 10 electrons.

📝Worksheet

Test yourself on the whole topic with a printable worksheet: questions for all four criteria, from recall to a design task, a data-analysis question and a short reflection, with a full mark scheme.

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