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v0.1.1065
NotesPhysics HLTopic 5.1Nuclear model and atomic structure
Back to Physics HL Topics
5.1.12 min read

Nuclear model and atomic structure

IB Physics • Unit 5

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Contents

  • What an atom is made of
  • Nuclide notation — counting p, n, e
  • The alpha-scattering experiment
  • Exam-style question
The big idea: An atom has a tiny central nucleus with the electrons spread around it.

The nucleus holds two kinds of particle, called nucleons:

- protons — positive charge - neutrons — no charge

The electrons (negative) orbit far outside, in the mostly-empty space around the nucleus.
ParticleWhere it isChargeRelative mass
Protonin the nucleus+1 (positive)1
Neutronin the nucleus0 (neutral)1
Electronaround the nucleus−1 (negative)≈ 1/2000 (negligible)
Two words to know: Nucleon = a particle in the nucleus → a proton or a neutron.

Nuclide = a specific type of nucleus, set by how many protons and neutrons it has (e.g. carbon-14 is one nuclide, carbon-12 is another).

Every nuclide is written with two numbers in front of the element symbol. The top number is the nucleon number; the bottom number is the proton number.

GDC workflow
Nuclide notation. X is the element symbol. A (top) = nucleon number = protons + neutrons. Z (bottom) = proton number = the number of protons. This is NOT in the data booklet — you read it off and count.

From those two numbers you can count every particle. The neutron count is the difference between the two numbers:

GDC workflow
Number of neutrons = nucleon number − proton number. You derive this, it is not given in the booklet.
proton (atomic) number — the bottom number; defines the element
nucleon (mass) number — the top number; protons + neutrons
number of neutrons in the nucleus

A neutral atom has as many electrons as protons. But an ion has lost or gained electrons, so its electron count is shifted by its charge:

GDC workflow
Electrons = proton number − charge. A positive ion (e.g. 2+) has LOST electrons, so it has fewer than Z; a negative ion has gained electrons. Not a booklet equation — reason it out.
proton number (number of protons)
the ion's charge in units of e (e.g. +2 for a 2+ ion, −1 for a 1− ion)
Watch the charge sign: A 2+ ion has lost 2 electrons, so it has Z − 2 electrons (q = +2).

A 1− ion has gained 1 electron, so it has Z + 1 electrons (q = −1).

The charge only changes the electrons — the proton and neutron counts are fixed by A and Z.

Worked example — count the particles in an ion

An aluminium ion is written as a nuclide with nucleon number A = 27, proton number Z = 13, and overall charge 3+. How many protons, neutrons and electrons does it have?

Solution

  1. Protons = the bottom number Z, straight off:
  2. Neutrons = top − bottom. Write the rule first, then substitute:
  3. Electrons = protons − charge. The 3+ ion has lost 3 electrons:

Final answer

13 protons, 14 neutrons, 10 electrons. (The 3+ charge removed 3 of the 13 electrons.)

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How we know the nucleus is there: Geiger and Marsden fired alpha particles (small, fast, positively charged) at a very thin gold foil and watched where they went.

('Alpha particle' = a tiny positive particle — 2 protons + 2 neutrons — given off by some radioactive sources.)

What was observed

  • Almost all alpha particles passed straight through, barely bent
  • A small number were deflected through large angles
  • A very few (about 1 in 8000) bounced straight back

What it told us

  • The atom is mostly empty space (so most pass through)
  • The positive charge + nearly all the mass sit in a tiny, dense core
  • That core (the nucleus) is concentrated and positive — it repels a head-on alpha right back
The logic in one line: Most pass through → atom is mostly empty.

A few bounce back hard → all the positive charge and mass is squeezed into a tiny central nucleus.

This replaced the old 'positive pudding with electrons dotted through it' picture.
How this is tested: Both halves of this micro show up:

- Paper 1A (MCQ): a one-step count — given a nuclide or an ion, pick the right number of protons, neutrons or electrons; or write/identify a nuclide symbol. - Paper 2: describe the alpha-scattering observations (an AO1/AO2 recall question), then outline how they were interpreted to give the nuclear model.

Classic trap: changing the proton or neutron count when an atom becomes an ion — only the electron count changes.

IB-style question — (a) describe the observations

In the alpha-particle scattering experiment, a beam of alpha particles is fired at a thin metal foil. Describe two observations made about the paths of the alpha particles. [2]

Solution

  1. Observation 1 — the majority. State what happens to most of the beam:
  2. Most alpha particles pass straight through the foil with little or no deflection.
  3. Observation 2 — the rare event. State what a small fraction do:
  4. A small number are deflected through large angles, and a very few are bounced almost straight back towards the source.

Final answer

(1) Most pass straight through, barely deflected. (2) A few deflect through large angles / bounce back. Each clear observation earns a mark.

IB-style question — (b) outline the interpretation

Outline how these observations led to the nuclear model of the atom. [2]

Solution

  1. Link observation → conclusion (empty space). Use 'most pass through':
  2. Because most alphas pass straight through, the atom must be mostly empty space.
  3. Link observation → conclusion (the nucleus). Use 'a few bounce back':
  4. Because a few are repelled through huge angles, the positive charge and almost all the mass must be concentrated in a tiny, dense, positively charged nucleus.

Final answer

Most pass through ⇒ atom is mostly empty; a few bounce back ⇒ a tiny, dense, positive nucleus holds the charge and mass. Both links needed for full marks.

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Two nuclei are described as being isotopes of the same element.

the quantity that must be the same for both nuclei, and the quantity that differs between them.
[2 marks]

Related Physics HL Topics

Continue learning with these related topics from the same unit:

5.1.2Energy levels and atomic spectra
5.1.3The electronvolt
5.1.4Quantisation of charge
5.1.5Properties of nuclei and high-energy scattering (HL)
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