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Physics
Double Award
Cambridge IGCSE
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TOPIC 5: NUCLEAR PHYSICS

5.1 Atoms

Figure 1 shows pieces of carbon, one of the best known elements on Earth. But what makes carbon have different properties than, say, iron?

The answer is that all substances are made of atoms, and the atomic structure of carbon is different from that of iron. In your chemistry classes you may well have learned some of this section already, as the topic spans both sciences. However, in this topic we are more interested in the structure of the nucleus than in the arrangement of electrons, which we will largely ignore.

 

carbon pieces
Figure 1: Carbon pieces

What is in an atom?

All atoms are made of three sub-atomic particles:

Figure 2 shows a very simplified diagram of a carbon atom, and how these particles are arranged:


structure of a carbon atom

Figure 2: The structure of a carbon atom

Rather than drawing a carbon atom, we need a simple way of describing the nucleus. The way this is done is with the following notation:

atomic notation

You will need to learn the terms atomic (or proton) number, nucleon (or mass) number, and what they mean:

Questions:

1. The element sodium (Na) is written in notation as:

23 Na
11

State the number of protons and neutrons in this atom of sodium.

The bottom number represents the proton number, so there are 11 protons.
The top number of 23 gives the total number of protons and neutrons, so there are 23 - 11 = 12 neutrons.

2. Lead is a metal with the symbol Pb. A common atom of lead has 82 protons and 125 neutrons. Using standard notation (as shown in question 1), give the notation for this atom of lead.

If the atom has 82 protons and 125 neutrons, the total mass is 82 + 125 = 207. Therefore the notation will be:
207 Pb
82

Extension:

In some books and web pages showing atomic notation, the bottom number is missing completely. Why is this?

Carbon always has 6 protons (atomic number 6) and is element number 6 in the periodic table. For this reason, once you write the letter 'C' for carbon, you could miss out writing the '6' as it can be assumed. This is true for all atoms.

 

Isotopes

Nearly all of the carbon on Earth has atoms with 6 neutrons and 6 protons. this is often called "carbon-12", showing the mass. However, there is a small percentage of atoms with an extra neutron. This atom is still carbon, with atomic number 6, but now has a mass number of 13. Carbon-12 and carbon-13 are isotopes of carbon.

Isotopes have the same number of protons, but different numbers of neutrons.

The isotope Carbon-14 has 6 protons and 8 neutrons, and is a very rare atom. However, the extra neutrons in the nucleus makes it unstable. Why this happens is very complicated and is to do with the forces acting in the nucleus. Eventually, this atom will randomly split apart. We say it is radioactive because it will emit particles when it decays.

We will learn more about how atoms decay in the next section.

Questions:

3. The list below shows the notation for some atoms found in a sample of sea water. It includes 2 isotopes:

1 H        4 He        5 Li        2 H        9 B        9 Be
1 2 3 1 5 4

a) isotopes have the same number of protons but different numbers of neutrons.

b) We are looking for 2 atoms with the same proton number (the bottom number) and hence the same symbol.

   The two isotopes are:    1 H  and  2 H
1 1

 

Fission and fusion

Nuclear disintegrations release a huge amount of energy. Scientists have calculated that it must be this energy from radioactive substances (like uranium) deep in the Earth that keep the core hot, thus producing the activity we see in volcanoes. After many years of research in the 1940's, physicists finally worked out how to produce this energy on demand.

Fission

Nuclear fission is the process of a large nucleus splitting into smaller parts and releasing energy. This can happen naturally, or artificially. Natural, spontaneous fission is rare, and happens at a very slow rate. In a modern nuclear reactor, the element Uranium is usually used, as it has an extremely large and relatively unstable nucleus.

There is one rare isotope of uranium called uranium-235 that has a very special property: It is unstable, but a neutron that hits it at the right speed will cause it to disintegrate, typically into 2 fragments. The fragments are called daughter nuclei, and are also usually radioactive and unstable. Gamma rays are also released in this process.

However, when the uranium-235 disintegrates, it releases 2 or 3 neutrons, which in turn can hit other uranium-235 nuclei, as shown in figure 5.

As you can see from this diagram, the number of nuclei involved increases rapidly, and the energy released gets bigger and bigger at a huge rate.
This process of self-sustaining nuclear disintegrations is called a chain reaction:

  • One neutron hits a U-235 nucleus. (stage 1).
  • This makes the nucleus disintegrate into 2 daughter nuclei.
  • It also releases 2 or 3 more neutrons.
  • These neutrons hit other nearby U-235 nuclei (stage 2).
  • The process is repeated with more nuclei (stage 3).

Note: Chain reactions are not in this course, but you should be able to describe the fission process and the release of energy.

Figure 5: A nuclear fission reaction
Wikimedia Commons

Notice that in stage 2, a neutron hits a common U-238 nuclei, and nothing happens. It is only the rare uranium-235 isotope that produces a chain reaction.

One way to simulate the stored energy being released in a chain reaction is with spring-loaded mouse traps. The video here is a great demonstration. The ping-pong balls are like the neutrons, and the mouse traps are like the uranium-235 nuclei:

YouTube video: Simulation of a chain reaction using mouse traps
Thanks to Pepsi (not endorsed) for this expensive science experiment / advert!

How is the energy in the mouse traps released?
We can see that the ping-pong balls move at high velocity, and the mouse traps also move. This is kinetic energy. During nuclear fission, the daughter nuclei and the neutrons move at high speed carrying a huge quantity of kinetic energy.

Fusion

When an unstable heavy nuclei like uranium decays, it slowly releases energy. In a chain reaction, it is forced to disintegrate by a collision. Both these processes involve the release of energy from the splitting of a heavy nuclei, and we call this fission. However, fusion is quite different.

Heavy nuclei are held together by a strong force like a nuclear glue. This force only acts over a short range. If you can get two light nuclei close together, then this force makes them snap together like strong magnets, and this releases energy. Just like fission, the energy comes from a small quantity of mass that is lost in the process, and converted to energy in the form of radiation.

This process - of light nuclei fusing together - is called nuclear fusion. It only works with light nuclei like hydrogen and helium, and only when they are put very close together. Unfortunately, these nuclei have protons in them that repel each other, so they really do not want to be close together! The electrostatic repulsion works over longer distances, so initially the protons repel unless they are forced very close together.

Fusion needs very high pressures and temperatures. This makes light nuclei move very fast and close together, causing some to fuse. This is the energy source that keeps the Sun and all stars producing heat and light! The temperature needed to do this for hydrogen in stars is millions of degrees Celsius, and even then the process is slow.

The Sun - a fusion power station
Figure 6: Nuclear fusion in the Sun

One day, physicists hope to be able to generate electricity using fusion - we could even use the hydrogen from water to do this which would be pollution free! Unfortunately, fusion will not work at low temperatures and pressures. The experimental reactors being built require dangerously high temperatures and the fuel inside will melt any container if it touches the sides. This is still a work in progress.....!

Experimental fusion reactor
Figure 7: An experimental fusion reactor.
Oak Ridge Labs (CC by 2.0 licence)

 


Questions:

4. Nuclear fusion is a source of energy using atomic nuclei.

a) Fission is the splitting of heavy nuclei.
Fusion
is the joining together of light nuclei.

b) Fusion occurs naturally in all stars (including the Sun!)

 



 

 

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