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GRADE 9 · NUCLEAR PHYSICS

Ionizing radiation and thermonuclear fusion

Biological effects, protection, fusion, particles and antiparticles.

30 minutes4 theory cards
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Understanding step by step

Radiation is invisible but leaves traces in matter. Nuclei can split or combine, and a particle–antiparticle pair can turn into new particles. In each case, we will follow where energy goes and what changes.

Energy transferNuclear transformationsRadiationSubstanceFissionFusionAll products will be considered separately
On the left, radiation from a source reaches matter and can transfer energy to it. On the right, schematic symbols compare splitting a heavy nucleus with combining light nuclei. This shows transformation directions: additional particles and radiation are omitted, and circles do not give exact nucleon counts. Energy release depends on the mass difference between all initial particles and all products.

What ionization does

When radiation gives an atom enough energy, an electron may become free and the atom becomes an ion: this is ionization. In molecules, such interactions can alter bonds; in living tissue they can damage cells. Consequences depend on dose, radiation type and conditions, not merely invisibility or the source's name. Dose describes the exposure of matter; assessing effects also requires knowing how and where energy was deposited.

Energy transfer to matter+e⁻Electron escapesBond disruptionLiving tissue may be damagedDose, type and exposure conditions matter
On the left, radiation gives energy to a bound electron; its blue arrow shows possible escape from the atom. This is a schematic interaction, not an exact electron orbit. On the right, absorbed energy can disrupt a molecular bond; not every photon necessarily produces this outcome. Damage to living tissue depends on dose, radiation type and exposure conditions.

Time and dose

Imagine unchanged exposure conditions: tissue receives the same dose increment every second. Doubling the time then doubles dose, and halving time halves dose. This holds at constant dose rate, the rate of dose accumulation. Express time t in seconds or another consistent unit. If the source weakens, distance changes or shielding is introduced, t alone no longer suffices for comparison.

At the same dose ratedose Dtime tdose 2Dtime 2tTime alone, without source details, is insufficient
At unchanged dose rate, doubling exposure time doubles dose. Time alone tells us nothing: the source and conditions matter.

Suitable protection

For external exposure, reducing time, increasing distance or adding suitable shielding changes the energy received from the source. Effectiveness depends on geometry, radiation type and energy. Contamination is distinct: radioactive material is on or inside an object and continues emitting radiation itself. Exposure and contamination are therefore not synonyms; the same shield cannot solve every situation.

Three protection principlesLesstimeGreaterdistanceSuitableshieldingDose control is always neededExposure and contamination aredifferent situations
Three principles: less time near the source, greater distance and suitable shielding. The clock specifies no safe duration, and the distance arrow is not a radiation ray. On the right, the path reaches the shield and continues as a thin dashed line: attenuation may be incomplete. Dose control is needed; shield material depends on radiation type and energy. These measures concern external exposure; radioactive contamination requires separate control.

Penetration does not equal danger

Alpha particles quickly lose energy and penetrate outer layers poorly, but alpha-emitting material inside the body can irradiate nearby living tissue. Suitable materials stop beta radiation; gamma radiation usually needs more substantial shielding and is gradually attenuated. 'Penetrates deeper' does not mean 'more dangerous in every situation': we must know where the source is, how much energy it transfers and the dose received by tissue.

SourceShieldLess time, more distanceSuitable shielding and dose control
The diverging directions come from one source and continue through the shield without arbitrary turns. Thin dashed lines beyond it schematically show attenuated radiation, which need not disappear completely. Material and thickness are chosen for the radiation type and energy. Less time and greater distance can also reduce external exposure; dose control is needed. This diagram does not describe radioactive material entering the body or specify a safe exposure time.

Fusion of light nuclei

Can combining nuclei release energy rather than splitting them? In fusion, light nuclei form heavier products. Energy is released if their total mass is below that of the initial particles; c² relates the difference to energy. This is the same energy-release criterion as in fission, but composition is rearranged differently. The word 'combining' does not guarantee energy release for every choice of nuclei.

Light nuclei form a bound system+Otherproducts+For energy release:Σmисходных > ΣmпродуктовCompare the masses of all particlesFission splits a heavy nucleus
Schematic symbols show light nuclei combining into a heavier bound system. Other possible reaction products are not listed, so circles cannot be used to count nucleons. Energy is released if the total mass of all final particles is less than that of all initial particles. This is the energy-release criterion; unlike fusion, fission splits a heavy nucleus. A specific channel conserving composition follows later.

Why heating is needed

Why do suitable nuclei not combine immediately at ordinary temperature? Their positive charges repel electrically and hinder a close approach. High temperature means greater particle speeds and a higher reaction probability; a precise account needs quantum physics. Substantial thermonuclear fusion also requires sufficient density and confinement time for plasma, matter containing free charges. Brief heating alone does not ensure many reactions.

Heating raises particle speedsvv++Repulsive forcesHightemperatureSufficientdensityPlasmaconfinementNot every encounter produces fusion
Two positive nuclei approach: green arrows above show velocities. Red electric repulsion forces point away from the other nucleus and oppose the motion shown. Heating raises mean speeds and reaction probability, but does not guarantee fusion of every pair. A substantial thermonuclear reaction rate also requires sufficient density and plasma confinement. Conditions are qualitative; quantum tunnelling is not shown.

Fusion in stars

In stars, fusion of light nuclei can form more tightly bound systems and release energy. An important example in research on Earth is deuterium and tritium, hydrogen isotopes, producing a helium nucleus and a neutron. Charge is conserved: the two initial proton charges go to helium, while the neutron is neutral. This check does not calculate reaction probability, but distinguishes an allowed transformation from a diagram violating charge conservation.

²H³H⁴Hen+ energy
A fusion example: deuterium and tritium form a helium nucleus and a neutron, releasing energy. Total proton and neutron counts are conserved.

What 'elementary' means

A proton is tiny, but must it be elementary? No: size does not define the term. An elementary particle has no discovered internal structure. The electron is an example; protons and neutrons contain quarks. This conclusion rests on interaction experiments, not on seeing a particle through an ordinary microscope. 'Elementary' marks the limit of discovered structure in the accepted physical description.

ElectronProtonno structure foundquarks insideElementary: no internalstructure has been discovered
An elementary particle has no discovered internal structure. The electron is such a particle; a proton contains quarks and is therefore not elementary.

Particle and antiparticle

The electron's antiparticle is the positron: equal mass, opposite electric charge. Other particle–antiparticle pairs also have equal masses and opposite corresponding charge properties. Yet an antiparticle need not carry electric charge: neutral antiparticles exist. 'Anti means reversing electric charge' is therefore insufficient for all properties; the electron pair is simply the clearest example.

A particle–antiparticle pair−electronsame mass=+positronopposite chargesneutral antiparticles also exist
Electrons and positrons have equal masses and opposite charges. Other particle–antiparticle pairs also have equal masses and opposite corresponding charge properties.

Annihilation conserves energy

A particle and its antiparticle can interact by annihilation: the initial pair becomes other particles, such as photons. Mass and energy do not simply vanish without trace. The initial system's rest and kinetic energies contribute to product energy, and total momentum is conserved. If the pair as a whole was at rest, product momenta must sum to zero. Photons can carry energy and momentum despite having no electric charge.

Example: e⁻ + e⁺ → 2γ−e⁻+e⁺γγEqual energies, opposite momentaIn the initial pair's centre-of-mass frame
One possible electron–positron annihilation process is shown in the pair's centre-of-mass frame. Incoming momenta have equal magnitudes and opposite directions. Two photons leave the same point in opposite directions with equal energies and frequencies, giving zero total momentum. Their total energy includes the initial pair's rest and kinetic energy. Wavy lines symbolize photons, not winding trajectories. Particles transform; energy does not vanish. Other annihilation channels are also possible.

Revisit statistical decay

Return to half-life and seal a sample in a container. After each half-life, half the current amount of parent isotope remains on average, but decayed nuclei have become other particles and nuclei. Many products may remain inside. A decrease in the parent isotope's mass therefore does not mean an equal decrease in the total contents' mass. Specify what is counted: parent nuclei, products, or the full system including transferred energy.

Count the parent isotope XInitiallyAfter TIsotope XIsotope X+ productsm₀Mean: m₀/2Mass of X, not the whole mixtureProducts may stay in the container
Two identical containers compare initial composition with composition after one half-life. On average, the parent isotope X drops from m₀ to m₀/2, but transformation products can remain inside. Its mass is therefore not the mass of the entire mixture. No circles preselect the nuclei that will decay, and exact constancy of total mass is not claimed: energy and some radiation can leave.

What remains in the sample

A closed sample initially contains 80 g of one radioactive isotope with half-life 4 days. How much of the parent isotope is expected after 12 days?

80 г; T = 4 days; t = 12 daysParent-isotope mass, г800?4?8?12Time, daysClosedsampleParentisotopeFind the parent-isotope mass
On the left is a graph of parent-isotope mass: initially 80 g, with later values unknown. Times 0, 4, 8 and 12 days are equally spaced. On the right is the same closed container; its label names material, not individual nuclei. The isotope and decay type are unspecified, so no product composition is invented. The whole diagram is retained in subsequent steps.

Let's look at an example · 1

The elapsed 12 days and half-life of 4 days use the same units. The number of half-lives is t/T = 12/4 = 3.

80 г; T = 4 days; t = 12 daysParent-isotope mass, г800?4?8?12Time, daysClosedsampleParentisotope12 / 4 = 3 half-lives
The graph and closed container are unchanged. From 0 to 12 days there are three equal 4-day intervals: 12/4=3 half-lives. Both times are in days, so their ratio is dimensionless. The parent-isotope mass after these intervals has not yet been calculated.

Let's look at an example · 2

Count only the mass of undecayed parent isotope. Its mean halves each half-life: 80 → 40 → 20 → 10 г.

80 г; T = 4 days; t = 12 daysParent-isotope mass, г8004042081012Time, daysClosedsampleParentisotope80 → 40 → 20 → 10 г (mean)
The same graph now includes 40, 20 and 10 g at 4, 8 and 12 days. Bar heights 80, 40, 20 and 10 share a baseline and exactly represent successive halving. This is the expected mean parent-isotope mass, not a claim about the mass of all container contents. The container and time scale are unchanged.

Let's look at an example · 3

Check: 80·2⁻³ = 10 г, one eighth of the initial isotope. The other parent nuclei became decay products, which may remain in the closed sample.

80 г; T = 4 days; t = 12 daysParent-isotope mass, г8004042081012Time, daysClosedsampleParentisotope+ products10 г of isotope is not the whole mixture
The same graph ends at the expected 10 g of parent isotope. A label is added for decay products that may remain inside the same container. Labels do not specify their exact mass or number. The 10 g result refers only to the parent isotope, not the whole mixture; the half-life law does not imply matter vanishes without trace.

Check the result

An average of 10 g of parent isotope remains. This is not the total mass inside the container: decay products may also be present.

Key point · 1

Ionization explains energy transfer to matter, but effects depend on dose, radiation type and exposure conditions.

Key point · 2

Fission and fusion rearrange nuclei differently; energy release in either is associated with a lower total product mass.

Key point · 3

Annihilation transforms particles while conserving energy and momentum; decay likewise does not mean matter vanishes without trace.

What comes next

Next year, we will revisit these ideas with more precise models of motion, matter and fields.

Basic Concepts

3 concepts

Biological effects of radiation

Ionizing radiation damages molecules and cells; risk depends on dose, radiation type and exposure conditions.

Protection combines less time, greater distance and suitable shielding, while dose monitoring remains necessary.

Thermonuclear reaction

Fusion combines light nuclei; energy is released if total product mass is below that of the initial particles. High temperature helps overcome electric repulsion.

Energy-releasing fusion reactions power stars. Not every combination of nuclei releases energy; controlled thermonuclear fusion depends on temperature, density and plasma confinement time.

Elementary particles and antiparticles

Elementary particles have no discovered internal structure. A particle and its antiparticle have equal masses and opposite electric charges and other additive quantum numbers; neutral antiparticles also exist.

When a particle meets its antiparticle, annihilation can convert rest energy into other particles and radiation.

Physical quantities

1 magnitude

Irradiation time

t

Duration of exposure to ionizing radiation.

Unit: second · \mathrm{с}

Problems on this topic

Statements, answer options and the walkthrough.