Nuclear fission
Types
- Conventional nuclear power - used by all reactors today
- Breeder reactors - not operational yet
Basic physics
A nuclear reaction is far more energy-dense than a chemical reaction. Whereas combustion of fossil fuels involves splitting molecules, nuclear fission involves splitting atoms. This requires a fissionable material, such as uranium (which has large unstable atoms that split easily).
See Wikipedia for a much more detailed explanation of the physics.
Role in ending climate change
Conventional nuclear power can't scale up enough to replace fossil fuels, because it relies on uranium-235 which is too scarce. Breeder reactors could potentially be a solution to this problem, by making use of far-more-abundant materials such as uranium-238 and thorium. The technology for this is not quite ready yet. [ELABORATION needed]