The Conditions for Fusion (Edexcel IGCSE Physics): Revision Note
Exam code: 4PH1
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Fusion reactions in stars
Stars are huge balls of (mostly) hydrogen gas
In the centre of a star, hydrogen nuclei undergo nuclear fusion to form helium nuclei
An equation for a possible fusion reaction is:
Where
(deuterium) and
(tritium) are both isotopes of hydrogen
These are formed through other fusion reactions in the star
Fusion reactions release a huge amount of energy
The heat from fusion provides a pressure that prevents the star from collapsing under its own gravity
Forces acting on a stable star

The outward and inward forces within a star are in equilibrium. The central red circle represents the star's core, and the orange circle represents the star's outer layers
In larger stars where the temperature gets hot enough, helium nuclei can fuse into heavier elements
Examiner Tips and Tricks
It is useful to remember that hydrogen is the fuel within stars, but the details of the reaction between deuterium and tritium are not required at this level.
Conditions for nuclear fusion
Nuclear fusion can only occur when two nuclei get extremely close together
The two conditions required for nuclear fusion are:
extremely high temperatures
extremely high pressures
These conditions are required because of the electrostatic repulsion between protons
Since protons are positively charged, they repel each other
To overcome this repulsion and allow the protons to get close enough to fuse, they must be moving very fast — this means they need very high kinetic energy
Electrostatic repulsion between protons

Hydrogen nuclei are positively charged protons which repel one another, making it difficult to achieve fusion under normal conditions
For hydrogen nuclei (protons) to travel fast enough to fuse, the gas has to be heated to millions of degrees
Such high temperatures are usually only achievable in the cores of stars
The higher the temperature, the faster the nuclei move, and the more energy they have to overcome electrostatic repulsion, and the closer together they can get
In regular conditions, such as on Earth, where temperatures and pressures are low, the possibility of collisions between nuclei which result in fusion is significantly lower
To increase the number of collisions (and hence fusion reactions) that occur between nuclei, high densities (and hence pressures) are also needed
The higher the pressure, the smaller the space the nuclei are forced into, so the more likely they are to collide
Worked Example
An example of a hydrogen fusion reaction which takes place in stars is shown here.
Which of the following is a valid reason as to why hydrogen fusion is not currently possible on Earth?
A. Hydrogen fusion produces dangerous radioactive waste
B. Hydrogen nuclei require very high temperature to fuse together
C. Hydrogen is a rare element that would be difficult to get large amounts of
D. Hydrogen fusion does not produce enough energy to be commercially viable
ANSWER: B
Hydrogen nuclei have positive charges
So two hydrogen nuclei would have a repulsive force between them
High temperatures are required to give the nuclei enough energy to overcome the repulsive force
The answer is not A because the product of the hydrogen fusion shown in the reaction is helium
Helium is an inert gas, it is not dangerous or radioactive
The answer is not C because hydrogen is a very abundant element
It is the most common element in the universe
The answer is not D because hydrogen fusion would produce a huge amount of energy
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