Week 9: Nuclear fusion Flashcards
What are the advantages of fusion over fission?
Less radioactive waste.
Shorter half life of waste so no need to store for geological periods.
Safer due to lack of risk of runaway criticality, core meltdown, release of large amounts of radioactivity.
Plentiful fuel.
What amount of energy is released in a fusion reaction?
~ 1 MeV per nucleon
Where does the energy come from in fusion?
The binding energy of He-4 (and He-3) compared to the hydrogen isotopes.
What is the temperature requirement for fusion?
Need sufficiently high temperatures that the ions can reliably breach the Coulomb barrier (which is at a minimum when hydrogen isotopes are used) to allow the nuclear reactions to take place.
What are individual deuterium nuclei referred to as?
Deuterons, d.
What are individual tritium nuclei referred to as?
Tritons, t.
What is the most achievable fusion option?
D-T fusion.
What is D-T fusion?
A tritium breeding programme using the neutrons from the fusion to cause:
n + 6Li —> t + alpha
What is the key challenge with D-T fusion?
Each fusion reaction consumes one triton and produces one neutron, and as it is impossible to guarantee every neutron will produce a new triton some neutron multiplication will be needed.
How can the ions in a plasma be described?
Maxwell Boltzmann distribution.
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What is the most probable speed of an ion in a plasma?
The most probable speed occurs at a kinetic energy of kT, which at room temperature is 0.025 eV.
What temperature is needed for thermonuclear fusion?
Thermonuclear fusion needs a temperature of approximately 10^8 K to occur at a rate that is practical for power production.
This corresponds to kT ~ 10 keV.
For a mixture of two gases with n1 and n2 atoms per unit volume:
What is the probability of interaction between an atom of gas 1 and gas 2?
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For a mixture of two gases with n1 and n2 atoms per unit volume:
What is the reaction rate?
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What is the reaction rate density for all the atoms of gas 1?
What assumption is made here?
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How can our model of reaction rate density for fusion be improved?
We can make our model more realistic by using an average value of the product of the speed and the cross section.
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What condition must be met for a plasma to be sustained?
Must be enough heat power provided to make up for the losses.
Pheat = Ploss
What is the power generated from fusion labelled as?
Pfus
What is the fusion energy gin factor?
The ratio of the fusion power produced to the power needed to sustain the plasma.
Qfus = Pfus / Pheat
What is the breakeven point?
The point at which the fusion power generated is equal to the heating power needed to maintain the plasma.
Pfus = Pheat —> Qfus = 1
What is ignition in fusion?
A step beyond breakeven.
At this point the energy deposited in the plasma by the fusion reactions is equal to the energy losses.
No external energy needs to be supplied to maintain the plasma at this point.
Why must a D-T plasma produce five times the energy needed to sustain itself before reaching ignition?
The majority of the energy is carried by the lighter neutron rather than the heavier alpha particle.
Pfus = 5Pheat —> Qfus = 5
What is the Lawson criterion?
To make useful fusion energy requires the energy output to be greater than the energy needed to create the plasma.
Efus > Eplasma
What is the equation for total energy output by a sustained series of fusion reactions over a confinement time?
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