D. Energy and Society · Thermal and Nuclear EnergyAlpha, Beta and Gamma Radiation
D3.10 D2.1 A1.4About 70 minutes
Learning goals- I can describe radioactive decay and identify parent and daughter nuclei.
- I can compare alpha particles, beta particles and gamma rays by mass, charge, speed, penetrating power and ionizing ability.
- I can write and balance alpha and beta decay equations.
- I can explain safety precautions for ionizing radiation: time, distance and shielding.
Words to know
radioactive decay
The process in which an unstable nucleus emits radiation and changes into a different, more stable nucleus.
parent / daughter nucleus
The nucleus before decay / the nucleus produced by the decay.
alpha particle (α)
A helium-4 nucleus (2 protons, 2 neutrons) emitted by an unstable nucleus. Symbol ⁴₂He or ⁴₂α.
beta particle (β)
A high-speed electron (⁰₋₁e) emitted when a neutron in the nucleus changes into a proton.
gamma ray (γ)
A photon of very high-energy electromagnetic radiation emitted by a nucleus. No mass, no charge.
ionizing radiation
Radiation with enough energy to knock electrons off atoms, creating ions. It can damage living cells.
penetrating power
How far radiation can travel into or through materials before being stopped.
What's in a smoke alarm?
Turn over many household smoke alarms and you will find a tiny label with a three-bladed symbol and the words americium-241. Inside is a speck of a radioactive substance that gives off alpha particles. They make the air in a small chamber conduct a little electricity. When smoke drifts in, the current drops, and the alarm sounds.
Is it dangerous to have a radioactive source on your ceiling? To answer, you need to know what alpha, beta and gamma radiation are, how far each can travel, and what stops them. That is this lesson.
(Never open or take apart a smoke alarm.)
Radioactive decay
In The Nucleus and Isotopes you saw that a nucleus with the wrong mix of protons and neutrons, or one that is too big, is unstable. Sooner or later it decays: it emits radiation and becomes a different nucleus. The original is the parent; the new one is the daughter. If the number of protons changes, the element changes. This is called transmutation.
In every nuclear equation, two things are conserved:
- the total mass number (top numbers add up the same on both sides), and
- the total charge, i.e., atomic number (bottom numbers add up the same on both sides).
There are three main types of radiation from decaying nuclei.
Alpha decay (α)
An alpha particle is a helium-4 nucleus: 2 protons and 2 neutrons, written ⁴₂He. Big, unstable nuclei often decay this way. The parent loses 4 from its mass number and 2 from its atomic number:
²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He
Alpha particles are heavy (about 4 u) and have a charge of +2. They move at typically around 5% of the speed of light. Because they are big and highly charged, they slam into atoms along their path and ionize them very strongly, so they lose their energy quickly. They are stopped by a sheet of paper, a few centimetres of air, or the dead outer layer of your skin.
So: alpha sources outside the body are not very dangerous, but alpha emitters that get inside the body (breathed in, swallowed) are very harmful, because all that ionizing energy is dumped into living cells. This is why radon, a radioactive gas that seeps out of the ground into some basements, matters: when breathed in, it and its decay products give off alpha particles inside the lungs. Health Canada recommends that every home be tested for radon.
Alpha decay of uranium-238. Both the mass numbers and the atomic numbers balance.Beta decay (β)
In beta decay, a neutron inside the nucleus changes into a proton and an electron. The proton stays in the nucleus; the electron is shot out at high speed. That electron is the beta particle, written ⁰₋₁e (mass number 0, charge −1). (A tiny neutral particle called an antineutrino is also emitted; we usually leave it out of Grade 11 equations.)
The mass number stays the same and the atomic number goes up by 1:
¹⁴₆C → ¹⁴₇N + ⁰₋₁e (carbon-14 decay, used in carbon dating) ³₁H → ³₂He + ⁰₋₁e (tritium decay, which makes exit signs glow)
Beta particles are very light (about 1/1840 of a proton's mass), have a charge of −1, and can move at close to the speed of light. They penetrate further than alpha particles but are stopped by a few millimetres of aluminium or a thick piece of plastic. They ionize less strongly than alpha particles.
(Some nuclei with too many protons emit a positive electron, a positron, instead. This is called beta-plus decay and is used in PET medical scans.)
Gamma radiation (γ)
After an alpha or beta decay, the daughter nucleus is often left with extra energy, in an excited state. It gets rid of the energy by emitting a gamma ray: a photon of very high-energy electromagnetic radiation, like an X-ray but usually more energetic.
Gamma rays have no mass and no charge, so emitting one does not change A or Z. They travel at the speed of light. Because they have no charge, they interact with matter only occasionally, so they are the most penetrating type and the least ionizing per centimetre travelled. Several centimetres of lead or a thick wall of concrete greatly reduces them (nothing stops all of them).
Cobalt-60 is a beta emitter whose daughter, nickel-60, then gives off gamma rays. Those gamma rays are used to sterilize medical supplies and to treat some cancers.
Penetrating power. Alpha is stopped by paper, beta by a few millimetres of aluminium, and gamma is only reduced, not stopped, by several centimetres of lead.| Property | Alpha (α) | Beta (β) | Gamma (γ) |
|---|
| What it is | helium-4 nucleus, ⁴₂He | high-speed electron, ⁰₋₁e | high-energy photon |
| Mass | about 4 u (heavy) | about 1/1840 u (very light) | 0 |
| Charge | +2 | −1 | 0 |
| Typical speed | around 5% of c | up to close to c | c (speed of light) |
| Penetrating power | low: stopped by paper or skin | medium: stopped by a few mm of aluminium | high: reduced by thick lead or concrete |
| Ionizing ability | high | medium | low |
| Change to nucleus | A − 4, Z − 2 | A same, Z + 1 | no change in A or Z |
Comparing the three types of nuclear radiation (c = speed of light). Between charged plates, the three types separate: alpha and beta bend in opposite directions because of their charges, beta bends much more because it is so light, and gamma is not deflected.Worked exampleExample 1: Writing decay equations
Write the decay equation for (a) alpha decay of radium-226 (Z = 88), (b) beta decay of strontium-90 (Z = 38), (c) the gamma emission from an excited barium-137 nucleus.
- (a) Alpha: subtract 4 from A and 2 from Z. A = 226 − 4 = 222, Z = 88 − 2 = 86, which is radon (Rn). ²²⁶₈₈Ra → ²²²₈₆Rn + ⁴₂He. Check: 226 = 222 + 4, 88 = 86 + 2.
- (b) Beta: A stays 90, Z = 38 + 1 = 39, which is yttrium (Y). ⁹⁰₃₈Sr → ⁹⁰₃₉Y + ⁰₋₁e. Check: 90 = 90 + 0, 38 = 39 + (−1).
- (c) Gamma: A and Z do not change; the nucleus just loses energy. **¹³⁷₅₆Ba* → ¹³⁷₅₆Ba + γ** (the * means excited).
Ra-226 → Rn-222 + α; Sr-90 → Y-90 + β; Ba-137* → Ba-137 + γ.
Worked exampleExample 2: Identify the missing particle
Find X: (a) ²³⁴₉₀Th → ²³⁴₉₁Pa + X (b) ²¹⁰₈₄Po → X + ⁴₂He
- (a) Mass numbers: 234 = 234 + A, so A = 0. Atomic numbers: 90 = 91 + Z, so Z = −1. X = ⁰₋₁e, a beta particle.
- (b) Mass numbers: 210 = A + 4, so A = 206. Atomic numbers: 84 = Z + 2, so Z = 82, which is lead. X = ²⁰⁶₈₂Pb.
(a) a beta particle; (b) lead-206.
Staying safe: time, distance, shielding
Ionizing radiation can break chemical bonds in cells and damage DNA. Large doses cause radiation sickness; smaller doses over time raise the risk of cancer. We are all exposed to a low level of background radiation all the time, from rocks and soil, radon, cosmic rays, and even the potassium in our own bodies. Medical X-rays and scans add some more. Workers who handle radioactive materials follow three rules to keep their dose as low as reasonably achievable:
- Time: spend as little time near a source as possible. Dose is proportional to time.
- Distance: stay as far away as possible. For a small source, the intensity drops with the square of the distance: twice as far gives one-quarter the intensity.
- Shielding: put the right material between you and the source: paper or plastic for alpha, aluminium or plastic for beta, lead or concrete for gamma.
Workers also wear dosimeters to track their total dose, and radioactive materials are labelled with the radiation warning symbol (the trefoil). Dose is measured in sieverts (Sv), usually millisieverts (mSv).
Just for funYour smoke alarm is probably the tiniest, most well-behaved radioactive source you will ever meet. Its americium-241 gives off alpha particles, which cannot even make it through the alarm's plastic case. Meanwhile, the alarm's real job is to be extremely loud at 3 a.m. when someone burns toast.
Hands-on activityLabels, distance and shielding
Grown-up note: do not open, remove or take apart a smoke alarm. Only read the outside label (a grown-up can take it down from the ceiling and put it back).
Part A: Radiation around the house. With a grown-up, check the label of a smoke alarm. Is it an ionization type (it will mention americium-241 and show the trefoil symbol) or a photoelectric type? Write down what the label says. Then find out from Health Canada's website what radon is and how a home is tested for it.
Part B: Modelling distance. You need: a flashlight, a sheet of graph paper taped to a wall, a measuring tape, a dark room.
- Hold the flashlight 50 cm from the wall, pointing straight at it. Count how many squares are inside the bright spot (estimate partial squares).
- Repeat at 100 cm and 150 cm. Keep the flashlight pointing straight at the wall.
- The same light spreads over the area you counted. Calculate the area ratio compared with 50 cm. How does the light per square change when the distance doubles?
What to look for: at double the distance, the spot covers about 4 times as many squares, so each square gets about one-quarter of the light. Gamma rays are also electromagnetic waves and spread out the same way, which is why distance protects radiation workers so well. In your conclusion, explain one way this model is not like a real radioactive source (for example, a flashlight aims light in one direction, while a small source sends radiation out in all directions).
Your turn
1What is an alpha particle made of?
2 protons and 2 neutrons: a helium-4 nucleus.
2In beta decay, what happens inside the nucleus?
A neutron changes into a proton, and a high-speed electron (the beta particle) is emitted.
3Which type of radiation is the most penetrating? Which is the most ionizing?
Gamma is most penetrating; alpha is most ionizing.
4Write the alpha decay of polonium-218 (Z = 84). The daughter is lead (Z = 82).
²¹⁸₈₄Po → ²¹⁴₈₂Pb + ⁴₂He.
5Write the beta decay of iodine-131 (Z = 53). The daughter is xenon (Z = 54).
6Why is an alpha source more dangerous inside the body than outside it?
Outside, alpha particles are stopped by the dead outer layer of skin. Inside, they deposit all their strong ionizing energy directly into living cells, for example in the lungs.
7Name the three main ways to reduce exposure to radiation.
Time (less time near the source), distance (move farther away) and shielding (put suitable material in between).
More practice: warm-up
1What is the charge of a beta particle?
2What stops alpha particles?
A sheet of paper (or a few cm of air, or skin).
3Does gamma emission change the mass number of a nucleus?
No. Gamma rays have no mass and no charge, so A and Z stay the same.
4What does "daughter nucleus" mean?
The new nucleus produced by a decay.
5Which radiation is an electromagnetic wave?
More practice: on your own
1Find X: ²²²₈₆Rn → ²¹⁸₈₄Po + X.
Mass: 222 − 218 = 4. Charge: 86 − 84 = 2. X = ⁴₂He, an alpha particle.
2Find X: ⁶⁰₂₇Co → X + ⁰₋₁e.
Mass 60; Z = 27 + 1 = 28 (nickel). X = ⁶⁰₂₈Ni.
3A radiation worker doubles her distance from a small gamma source. By what factor does the intensity change?
Intensity varies as 1/(distance²), so doubling the distance gives one-quarter (1/4) of the intensity.
4Explain why gamma rays are less ionizing than alpha particles, even though they penetrate much further.
Gamma rays have no charge, so they interact with atoms only occasionally and travel far before giving up their energy. Alpha particles are highly charged and slow-moving, so they ionize almost every atom they pass and lose their energy in a very short distance.
5In an electric field, alpha and beta particles bend in opposite directions, but beta particles bend much more. Explain both facts.
They bend in opposite directions because they have opposite charges (+2 and −1). Beta particles bend more because they have a tiny mass (about 1/7000 of an alpha particle's), so the electric force gives them a much larger acceleration.
Challenge
1Uranium-238 decays by α to thorium-234, which decays by β to protactinium-234, which decays by β again. Write the three equations and name the final nucleus (Z = 92 is uranium).
²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He; ²³⁴₉₀Th → ²³⁴₉₁Pa + ⁰₋₁e; ²³⁴₉₁Pa → ²³⁴₉₂U + ⁰₋₁e. The final nucleus is uranium-234, an isotope of the original element.
2A sealed source gives off both beta and gamma radiation. A worker puts a 5 mm sheet of aluminium in front of it. Which radiation is blocked and which still gets through? What extra protection would you recommend?
The aluminium stops (almost all) the beta particles. The gamma rays mostly pass through. Add lead or concrete shielding, increase distance, and limit time near the source; wear a dosimeter.
3A nucleus undergoes one alpha decay and two beta decays. By how much do its mass number and atomic number change overall? What do you notice about the element?
Alpha: A − 4, Z − 2. Two betas: Z + 2, A unchanged. Overall A decreases by 4, Z is unchanged. It ends as a lighter isotope of the same element.
Check your understandingQuiz
1. What is an alpha particle?
2. Which radiation is stopped by a few millimetres of aluminium but passes through paper?
3. In ¹⁴₆C → ¹⁴₇N + X, what is X?
4. Which radiation has no mass and no charge?
5. Which type of radiation is the most strongly ionizing?
6. A worker moves from 1 m to 3 m away from a small gamma source. The intensity becomes:
7. Radium-226 (Z = 88) undergoes alpha decay. What is the daughter?
For parents and teachersBig idea: expectation D3.10 asks students to compare alpha, beta and gamma radiation (mass, charge, speed, penetrating power, ionizing ability) and to describe safety precautions. Decay equations reinforce conservation of mass number and charge.
How to help: Quiz your teen with the comparison table: cover a column and ask them to rebuild it. For decay equations, have them say out loud "tops add up, bottoms add up". If you have not tested your home for radon, this lesson is a good prompt; Health Canada has information about long-term test kits.
Common difficulties:
- Thinking the beta electron comes from the electron cloud. It comes from the nucleus (a neutron turns into a proton).
- Mixing up penetrating power and ionizing ability (they go in opposite orders).
- Forgetting that Z changes the element in alpha and beta decay.
- Thinking alpha is "safe". It is the most dangerous if inhaled or swallowed.
Safety: do not open smoke alarms. The activity uses only a label check and a flashlight.