Solar - Nuclear Fusion Flashcards
Where does solar energy come from?
Nuclear Fusion
Nuclear Fusion
Fusion of hydrogen to helium
Sun composition
74% hydrogen, 24% helium
First step of nuclear fusion
Fusion of two protons by weak interactions, forming deuterium, releasing an electron neutrino, a positron and 1.43mev of energy
Coulomb Repulsion Barrier
An energy barrier due to electrostatic interactions that tow nuclei must overcome to get close enough for nuclear reaction
What is thermal barrier of coloumb?
0.2MeV and 1.4x10^9K, 100 times greater than core of sun
What two processes allow nuclear fusion?
Quantum Tunneling
Boltzmann Distribution
Centre of Mass Frame
An inertial frame where centre of mass remains at the origin
What is fusion rate a product of?
Probability of finding two particles with energy E in their centre of mass frame
Probability these two particles get close to interact, depending on quantum tunneling
Reaction rate factor, describing likelihood of a fusion event
Quantum Tunneling
Passage of minute particles through seemingly impassable force barriers
Boltzmann Distribution
Describes probability of finding a particle in a certain state, in a gas at a particular temperature
Maxwell Boltzmann Distribution
Concerns distribution of amount of energy between identifcal but distinguishable particles.
What does MBD suggest?
Hot gases have assumed constant energies as energy is realtively closs regardless
Prediction of MBD
There are many molecules with energies higher than the average
How many MBD particles are there in one mole?
10^8 with 10 times mean energy, not enough to overcome the barrier
What determines barrier penetration factor?
Resilience of the barrier and energy of the particle
What is probability of tunneling described by?
Gammow factor
Gammow factor
This is a probability of the boltzmann factor and the barrier penetration factor
When is fusion possible?
When a gamow window opens
When does tunneling probabiltiy become significant?
When boltzmann distribution is below coloumb barrier energy of 0.2MeV
What are the reactions of Nuclear Fusion?
Two deuterium merge forming helium, or interact with protons forming He-3, where two He-3 can fuse to make Be-6, which can break forming He-4 and two protons
How are photons produced?
Interplay of nuclear force and coulomb force, or positron and electron annihiliation.