The structure of the atom
By the end of this topic you'll know what's inside an atom, just how tiny and how empty it is, and what electrons do when an atom absorbs or releases energy.
Part 1Size, scale and what's inside
An atom is unimaginably small. Its radius is about 1 × 10⁻¹⁰ m (0.1 nanometres). You could line up about a million of them across the width of a human hair.
Nearly all of that tiny atom is empty space. In the middle sits the nucleus, made of protons and neutrons. The nucleus is where almost all the mass is concentrated, yet its radius is around 10 000 times smaller than the atom — less than 1/10 000 of the atomic radius. Around the nucleus, electrons orbit at different distances.
The three sub-atomic particles
- Proton
- In the nucleus. Relative charge +1, relative mass 1.
- Neutron
- In the nucleus. Relative charge 0, relative mass 1.
- Electron
- Orbits the nucleus. Relative charge −1, relative mass very small (≈ 1/1840 — treat as negligible).
Atoms have no overall charge — they are neutral. That's because every atom has the same number of protons as electrons, so the +1 and −1 charges cancel exactly. The number of protons (the atomic number) is what makes an atom a particular element.
⚠ Watch out — mass vs charge live in different places
Almost all the atom's mass is in the nucleus, but the nucleus is a tiny fraction of the atom's size — the rest is mostly empty space with electrons in it. Don't say electrons "have no mass" — they have a very small mass that we treat as negligible. And remember the atom is neutral because protons = electrons, not because of the neutrons.
Part 2Electron energy levels
Electrons don't sit just anywhere — they occupy energy levels (shells) at set distances from the nucleus. If an atom absorbs electromagnetic radiation, an electron can jump to a higher energy level (further out). When it falls back, the atom emits radiation again.
Roughly how many times smaller is the radius of the nucleus than the radius of the whole atom?
- AAbout 10 times smaller
- BAbout 100 times smaller
- CAbout 10 000 times smaller
- DThe same size
Show answer
Where is most of the mass of an atom, and where is most of its volume?
Most of the mass is in the tiny nucleus; most of the volume is empty space where the electrons orbit.Why does a neutral atom have no overall charge?
It has an equal number of protons (+1) and electrons (−1), so the charges cancel out.State the approximate radius of an atom.
About 1 × 10⁻¹⁰ m (0.1 nm).What happens to an electron when an atom absorbs electromagnetic radiation?
It moves to a higher energy level (a shell further from the nucleus). Falling back down causes the atom to emit radiation.
Developing the nuclear model
How the picture of the atom changed as new evidence came in — from a solid sphere, to plum pudding, to a tiny dense nucleus.
Part 1The story so far
The model of the atom is a great example of how science changes when new experimental evidence appears. It happened in stages:
Before the electron — atoms were thought to be tiny solid spheres that couldn't be divided. Then the electron was discovered, which changed everything: atoms must contain even smaller charged particles.
The plum pudding model — this suggested the atom was a ball of positive charge with negative electrons embedded in it, like fruit in a pudding. There was no nucleus in this model.
Part 2The alpha-scattering experiment
To test the plum pudding model, alpha particles (positive) were fired at a very thin sheet of gold foil. If plum pudding were right, the alpha particles should all pass almost straight through with only tiny deflections.
But that's not what happened. The results were:
Most alpha particles passed straight through — so the atom is mostly empty space. Some were deflected — so the centre must be positively charged (it repelled the positive alphas). A few bounced almost straight back — so the centre must be very small, very dense and hold most of the mass.
This led to the nuclear model: a tiny, dense, positive nucleus at the centre, with electrons orbiting it. Later, Niels Bohr corrected the model by proposing that electrons orbit at specific distances (energy levels), and the nucleus was found to contain positive protons. Later still, neutrons were discovered in the nucleus.
⚠ Watch out — match the result to the conclusion
Exam questions love asking what each result tells you. Most passing straight through ⇒ mostly empty space. A few bouncing back ⇒ the nucleus is tiny, dense and positively charged. Don't muddle them up — "deflected" alphas show the charge is positive; "bounced back" alphas show it's small and dense.
A few alpha particles bounced almost straight back off the gold foil. What did this show?
- AThe atom is mostly empty space
- BElectrons are negatively charged
- CThe nucleus is small, very dense and has most of the mass
- DAtoms are solid spheres
Show answer
Describe the plum pudding model of the atom.
A ball of positive charge with negative electrons embedded in it. There is no nucleus in this model.In the alpha-scattering experiment, what did most alpha particles do, and what did that show?
Most passed straight through with little or no deflection, showing the atom is mostly empty space.What did the deflection of some alpha particles show about the centre of the atom?
The centre carries a concentrated positive charge (it repelled the positive alpha particles).What change did Bohr make to the nuclear model?
He proposed that electrons orbit the nucleus at specific distances (energy levels), rather than anywhere.
Isotopes & ions
Reading the two numbers next to an element symbol — and the difference between an atom that's gained neutrons and one that's lost electrons.
Part 1Atomic number and mass number
Every element is defined by its atomic number — the number of protons. Change the number of protons and you've changed the element. The two numbers written by a symbol tell you what's in the nucleus:
The atomic number (bottom) = number of protons. The mass number (top) = number of protons + neutrons. So neutrons = mass number − atomic number. In a neutral atom, the number of electrons equals the atomic number.
Worked example — counting particles
An atom of chlorine is written ³⁷₁₇Cl. State its number of protons, neutrons and electrons.
Part 2Isotopes vs ions
These two words sound similar but mean very different things.
Isotopes are atoms of the same element (same number of protons) with different numbers of neutrons. They have the same atomic number but a different mass number. Because they have the same number of protons and electrons, isotopes of an element react in exactly the same way chemically.
An ion is an atom (or group of atoms) that has lost or gained electrons, so it now has an overall charge. Losing electrons makes a positive ion; gaining electrons makes a negative ion. Crucially, forming an ion does not change the nucleus — the number of protons and neutrons stays the same.
Keywords
- Isotope
- Same protons, different neutrons (same element, different mass number).
- Ion
- An atom that has lost or gained electrons, giving it an overall charge.
- Atomic number
- Number of protons — fixes which element it is.
- Mass number
- Number of protons + neutrons.
⚠ Watch out — isotopes change neutrons, ions change electrons
An isotope is about the nucleus — different neutrons, same protons. An ion is about the electrons — gained or lost, giving a charge. Don't say an isotope "has a charge" (it doesn't) and don't say an ion "is a different element" (it isn't — same protons).
Two atoms both have 8 protons. Atom X has 8 neutrons; atom Y has 10 neutrons. They are:
- ADifferent elements
- BIons of the same element
- CIsotopes of the same element
- DImpossible — atoms can't differ like that
Show answer
Define an isotope.
Atoms of the same element (same number of protons) with different numbers of neutrons — same atomic number, different mass number.An atom is ⁴⁰₁₉K. How many protons, neutrons and electrons does it have?
Protons = 19, neutrons = 40 − 19 = 21, electrons = 19 (neutral atom).How is an ion different from an atom?
An ion has lost or gained electrons, giving it an overall charge. Losing electrons → positive; gaining → negative. The nucleus is unchanged.Why do isotopes of an element react in the same way?
They have the same number of protons and electrons — and it's the electrons that determine chemical reactions. The extra neutrons make no difference to chemistry.
Radioactive decay & radiation
Why some nuclei are unstable, the four types of radiation they give out, and which ones are stopped by paper, aluminium or lead.
Part 1Unstable nuclei and the four radiations
Some atoms have unstable nuclei. To become more stable they give out radiation — this is radioactive decay. Decay is completely random: you can't predict which nucleus will decay next, or when. The activity of a source is the rate at which nuclei decay, measured in becquerels (Bq), where 1 Bq = 1 decay per second. We measure it with a Geiger–Müller tube as a count-rate (counts per second).
There are four kinds of nuclear radiation you need to know:
The four nuclear radiations
- Alpha (α)
- A helium nucleus — 2 protons + 2 neutrons. Heavy, +2 charge.
- Beta (β)
- A fast-moving electron emitted from the nucleus when a neutron turns into a proton. Charge −1.
- Gamma (γ)
- An electromagnetic wave from the nucleus. No mass, no charge.
- Neutron (n)
- A neutron emitted from the nucleus. No charge.
Part 2Penetration and ionising power
The radiations differ in how far they travel and how strongly they knock electrons off atoms (how ionising they are). There's a neat rule: the more ionising a radiation is, the less penetrating it is, because it gives up its energy quickly.
Alpha is the most ionising but least penetrating — stopped by a sheet of paper or a few cm of air. Beta is moderately ionising and penetrating — stopped by a few mm of aluminium. Gamma is the least ionising but most penetrating — only reduced by thick lead or metres of concrete.
⚠ Watch out — most ionising ≠ most dangerous in every case
Alpha is the most ionising but the least penetrating — it can't even get through your skin or paper. So outside the body, alpha is fairly harmless, but if a source is swallowed or breathed in, alpha is the most dangerous because all that ionising energy is deposited right inside your cells. Don't write that gamma is "the most ionising" — it's the least.
A radiation passes through paper but is stopped by a few mm of aluminium. What is it?
- AAlpha
- BBeta
- CGamma
- DNeutron
Show answer
What is an alpha particle made of?
Two protons and two neutrons — the same as a helium nucleus. Charge +2.What is a beta particle, and where does it come from?
A fast-moving electron emitted from the nucleus when a neutron changes into a proton. Charge −1.List the three main radiations in order of penetrating power, lowest first.
Alpha (lowest) → beta → gamma (highest). Ionising power is the reverse order.What is meant by the "activity" of a source, and what unit is it measured in?
The rate at which nuclei decay, measured in becquerels (Bq) — 1 Bq = 1 decay per second.Why is radioactive decay described as random?
You cannot predict which nucleus will decay next, or when — but with a large number you can predict the overall rate.
Nuclear equations
How to write down what happens to a nucleus during alpha and beta decay — and the simple "balance both numbers" trick that gets the marks.
Part 1The two decays
When a nucleus decays it can change. In a nuclear equation, the totals must balance: the mass numbers (top) on each side must be equal, and the atomic numbers (bottom) on each side must be equal.
Alpha decay emits an alpha particle (a helium nucleus, ⁴₂He). The nucleus loses 2 protons and 2 neutrons, so the mass number falls by 4 and the atomic number falls by 2. Because the number of protons changes, it becomes a different element.
Beta decay emits a beta particle (an electron, written ⁰₋₁e). Inside the nucleus a neutron turns into a proton. So the mass number does not change, but the atomic number rises by 1 — again, a new element.
Part 2Writing and balancing the equations
You write a decay like a chemistry equation, with the parent nucleus on the left and the products on the right. The alpha particle is written as a helium nucleus; the beta particle as an electron.
Worked example — alpha decay of radium
Radium-226 (atomic number 88) decays by emitting an alpha particle. Complete the equation: ²²⁶₈₈Ra → ? + ⁴₂He
Worked example — beta decay of carbon
Carbon-14 (atomic number 6) decays by emitting a beta particle. Complete: ¹⁴₆C → ? + ⁰₋₁e
⚠ Watch out — balance BOTH numbers
The top numbers must add up to the same on both sides, and so must the bottom numbers. For beta, the electron's atomic number is −1, so the daughter nucleus's atomic number goes up by 1 (because subtracting −1 adds 1). A common error is making it go down — check by adding up the bottom row.
A nucleus ²³⁸₉₂U emits an alpha particle. What is the mass number and atomic number of the new nucleus?
- AMass 238, atomic 90
- BMass 234, atomic 90
- CMass 234, atomic 91
- DMass 240, atomic 94
Show answer
How is an alpha particle written in a nuclear equation?
As a helium nucleus: ⁴₂He (mass number 4, atomic number 2).In beta decay, what happens to the mass number and atomic number of the nucleus?
Mass number stays the same; atomic number increases by 1 (a neutron becomes a proton).Complete: ²¹⁰₈₂Pb → ? + ⁰₋₁e (beta decay).
Mass stays 210, atomic number 82 + 1 = 83 → ²¹⁰₈₃Bi (bismuth).Why doesn't emitting a gamma ray change the mass or atomic number?
A gamma ray is an electromagnetic wave with no mass and no charge — it carries away energy only, leaving the protons and neutrons unchanged.
Half-life & exposure
What half-life means, how to read it off a graph or a table, and the difference between being irradiated and being contaminated.
Part 1What half-life means
Because decay is random, we can't say when one nucleus will decay — but with billions of nuclei we can describe the average behaviour. The half-life is the time taken for the number of unstable (radioactive) nuclei in a sample to halve. It is also the time for the activity (count-rate) to fall to half its starting value.
After each half-life, the activity halves again: from 100% it goes to 50%, then 25%, then 12.5%, and so on. It never quite reaches zero.
Worked example — finding half-life from data
A source has an activity of 800 Bq. After 30 minutes the activity has fallen to 100 Bq. Find the half-life.
⚠ Watch out — count the halvings, not the steps in the question
To find a half-life from data, keep halving the activity until you reach the final value, and count how many halvings that took. Then divide the total time by that number. Don't just divide the time by 2 — work out how many times the activity actually halved.
Higher tier — net decline as a ratio
On Higher tier you may be asked for the net decline in activity as a ratio after a given number of half-lives, instead of a percentage.
After n half-lives, the remaining fraction is (½)ⁿ. So after 3 half-lives, ⅛ of the activity remains. The ratio of decline compares what's left to the start — here, 1 : 8 (remaining : original). Equivalently, 7/8 of the original activity has been lost.
Example: after 4 half-lives, remaining = (½)⁴ = 1/16. Net decline ratio = 1 : 16 (15/16 of the activity has decayed away).
A sample's count-rate falls from 240 to 30 counts/s in 12 hours. What is the half-life?
- A3 hours
- B4 hours
- C6 hours
- D12 hours
Show answer
Part 2Contamination vs irradiation
Two words that examiners deliberately test, because they're easy to confuse.
Irradiation means being exposed to radiation from a source outside the body. The object or person does not become radioactive — once the source is removed or shielded, the exposure stops.
Contamination is when radioactive atoms get onto or into an object (e.g. dust on the skin, or breathing in a radioactive gas). Now the source is with the person and keeps emitting radiation until it's removed or has decayed — which can be a serious hazard.
⚠ Watch out — irradiation does NOT make you radioactive
Being irradiated does not make an object radioactive — a banana left near a gamma source doesn't become a source itself. Only contamination means radioactive material is actually present on or in you. Also: scientists' findings on radiation hazards are checked by peer review before being accepted.
A worker breathes in some radioactive dust. This is an example of:
- AIrradiation — they were exposed to radiation
- BContamination — radioactive atoms are now inside them
- CNeither — breathing dust is harmless
- DBoth contamination and a change of element
Show answer
Define the half-life of a radioactive isotope.
The time taken for the number of radioactive nuclei (or the activity) of a sample to halve.A source falls from 600 Bq to 75 Bq in 18 days. Find the half-life.
600 → 300 → 150 → 75 is 3 halvings in 18 days, so half-life = 18 ÷ 3 = 6 days.What fraction of the original activity remains after 4 half-lives?
(½)⁴ = 1/16 of the original activity.Explain the difference between irradiation and contamination.
Irradiation = exposed to radiation from a source outside the body (you don't become radioactive). Contamination = radioactive atoms get onto or into you and keep emitting.Why can't we predict exactly when a particular nucleus will decay, yet half-life is still useful?
Decay is random for a single nucleus, but with a very large number of nuclei the average behaviour is predictable — so the half-life is reliable.