# Episode 527: Nuclear transmutation

Lesson for 16-19

- Activity time 130 minutes
- Level Advanced

Students need to move beyond the idea that nuclear changes are represented solely by alpha, beta and gamma decay. There are other decay processes, and there are other events that occur when a nucleus absorbs a particle and becomes unstable.

Lesson Summary

- Discussion: Transmutation of elements (15 minutes)
- Student questions: Balancing equations (30 minutes)
- Discussion: Induced fission (10 minutes)
- Demonstration: The nucleus as a liquid drop (10 minutes)
- Discussion: Fission products and radioactive waste (10 minutes)
- Worked example: A fission reaction (10 minutes)
- Discussion and demonstrations: Controlled chain reactions (15 minutes)
- Discussion: The possibility of fission (10 minutes)
- Student questions: Fission calculations (20 minutes)

## Discussion: Transmutation of elements

Start by rehearsing some assumed knowledge. What is the nucleus made of? (Protons and neutrons, collectively know as nucleons.) What two natural processes change one element into another? ( α and β decay). This is transmutation.

Using a Periodic Table, explain that α decay moves two places down the periodic table. What about β ^{-} decay? (Moves one place up the periodic table.) Introduce the idea of β ^{+} decay. (Moves one place down the periodic table.)

Write general equations for these processes.

There is another way in which an element may be transmuted; for example, the production of radioactive 146C used in radio-carbon dating in the atmosphere by the neutrons in cosmic rays.

147N + 01n → 146C + 11H

Rutherford found that protons exist in the nucleus by bombarding nuclei with alpha particles. Patrick Blackett carried out further experiments and showed that the bombarded nucleus had transmuted. Ask your students to complete the following nuclear equation that summarises the transmutation of nitrogen into oxygen:

He + 147N → O + 11H

They should get:

42He + 147N → 178O + 11H

Cockroft and Walton were the first to split

the atom, by bombarding lithium with protons from their accelerator.

11H + 73Li → 84Be → 2 42He

## Student questions: Balancing equations

Students can practise balancing equations.

Episode 527-1: Isotope production (Word, 50 KB)

## Discussion: Induced fission

In the examples above, small parts are chipped off

nuclei. The behaviour of the heaviest natural element, uranium, is different. It breaks up into two large chunks – into two elements nearer to the middle of the periodic table – so-called *induced fission* . The two lighter elements are referred to as *fission fragments* .

How do the two common isotopes of uranium 23592U and 23892U differ? (23892U has three more neutrons than 23592U.) It is the 23592U not the 23892U that fissions. It absorbs a neutron, then splits into fission fragments, i.e. any two smaller nuclei that can be made from the 235 nucleons of the 23592U.

Episode 527-2: Nuclear fission (Word, 123 KB)

## Demonstration: The nucleus as a liquid drop

In many ways, nuclei behave like a drop of liquid. Show a water filled balloon – a good model for a nucleus. After the absorption of the neutron, the nucleus of 23892U wobbles. As soon as the electric charge distribution departs from the spherical (pinch the balloon into a dumbbell like shape) the mutual coulomb repulsion between the two ends drives the fission process. An alternative is to grease a plate and put a large drop of water on it. Wobble the plate about and watch the drop split.

## Discussion: Fission products and radioactive waste

Most of the energy released is carried off in the high speeds of the fission fragments. Because they have a relatively high fraction of neutrons, they are unstable, and decay with short half-lives. They form the high-level

radioactive waste that cannot be simply disposed of; it has to be stored somewhere for a minimum of 20 half lives.

By what factor will the activity fall after 20 half lives? ( ½ ^{20} is about 10^{-6} , or one-millionth)

13755Cs has a half life of 30.23 years: 20 half lives is 605 years

9038Sr has a half life of 28.1 years: 20 half lives is 562 years

Think about the consequences if waste disposal has to be engineered to remain intact for many centuries. (Which engineering structures have existed for the last 600 years?)

## Worked examples: A fission reaction

Here is the nuclear equation for a typical fission process:

01n + 23592U → 23692U → 13853I + 9539Y + ?

What is required to balance the equation? (3 neutrons)

Why are there some neutrons left over? (Relate this to the *N*-*Z* curve. The heaviest elements have the largest neutron excess to remain stable. The two lighter fission fragments have a higher fractional neutron excess; hence some are left over

.) These left over

neutrons are the vital key to unlock nuclear power using fission.

## Discussion and demonstrations: Controlled chain reactions

If at least one surplus neutron can induce fission in another 23592U nucleus and so on, then a self sustaining release of energy is possible. For a power station a *controlled* chain reaction is needed. Should each fission result in *more* than one further fission, then the chain reaction is said to diverge. In a bomb the aim is to get the chain reaction to diverge as fast as possible.

Blow up two balloons; let one fly off; release the other slowly, to illustrate the difference between uncontrolled and controlled energy release.

There are a number of analogues of chain reactions that can be demonstrated at this point, using matches or lines of dominoes.

Episode 527-3: Chain reactions (Word, 173 KB)

Episode 527-4: Fission analogues (Word, 26 KB)

## Discussion: The possibility of fission

What are the chances that a neutron will strike another nucleus? First recall that atoms are mostly empty space. The nuclei of two adjacent uranium atoms are typically 10,000 nuclear diameters apart. Emphasise this by picking a pupil in the middle of the class, and estimating her/his width (0.3 m?). Where will the next pupil nuclei

be situated? (3 km away.) A fast-moving neutron will travel a long way before it strikes another nucleus.

In fact, most neutrons are absorbed by 23892U nuclei, which are much more common than 23592U, and quite good at absorbing fast neutrons. Instead of fissioning they transmute into 23994Pu which is fissile, the favourite explosive material for making nuclear bombs. Pure natural uranium is incapable of sustaining a fission reaction – *less* than one fission neutron succeeds in inducing a further fission.

Ask your students how this problem might be overcome in order to have a controlled chain reaction. (The answer is the introduction to the next episode.)

## Student questions: Fission calculations

Calculations of energy released in fission events.

Episode 527-5: Fission – practice questions (Word, 36 KB)