Nuclear chain reaction
A nuclear chain reaction occurs when on average more than one neutron from a nuclear fission reaction causes another fission reaction. An uncontrolled chain reaction within a sufficiently large amount of fission fuel (critical mass) can lead to an explosive energy release and is the concept behind nuclear weapons. The chain reaction could also be adequately controlled and used as an energy source (nuclear reactor). The only known natural self-sustaining nuclear chain reaction was at Oklo. The first artificial self-sustaining nuclear chain reaction was initiated by a team led by Enrico Fermi below the bleachers of Stagg Field at the University of Chicago on December 2, 1942 during the Manhattan Project. The effective neutron multiplication factor k is the average number of neutrons from a nuclear fission reaction that cause another fission reaction, as opposed to neutrons produced by the fission which are being absorbed without causing a new fission, and those travelling out of the system. We can distinguish the following cases:
- k<1 (sub-critical mass): starting with one fission, we have on average a total of 1/(1-''k'') fissions.
- k=1 (critical mass): starting with one fission, we have on average one fission per unit time; this unit of time is the time it takes for the neutron to hit another nucleus; the distance is something like the diameter of a critical mass; e.g. the speed may be 10 000 km/s and the distance 10 cm, then the time is 10 ns.
- k>1 (super-critical mass): starting with one fission, we have on average in every generation of the chain reaction, say again once every 10 ns, a multiplication of the number of fissions by a factor a. This cannot continue, of course: k decreases when the amount of fission material that is left decreases, or when the remaining fission material is torn apart. In a nuclear weapon this may e.g. happen after 80 generations of 10 ns, is 800 ns, when there have been fissions.
See also
- chain reaction
- critical mass
- criticality accident
- nuclear physics
- nuclear reaction
- nuclear weapon design
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