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nuclear fission Fission chain reactions and their control The emission of several neutrons in the fission process leads to the possibility of a chain reaction if at least one of the fission neutrons induces fission in another fissile nucleus which in turn fissions and emits neutrons to continue the chain If more than one neutron is effective in inducing fission in other nuclei the chain multiplies more rapidly The condition for a chain reaction is usually expressed in terms of a multiplication factor k which is defined as the ratio of the number of fissions produced in one step or neutron generation in the chain to the number of fissions in the preceding generation If k is less than unity a chain reaction cannot be sustained If k 1 a steady-state chain reaction can be maintained and if k is greater than 1 the number of fissions increases at each step resulting in a divergent chain reaction The term critical assembly is applied to a configuration of fissionable material for which k 1 if k 1 the assembly is said to be supercritical A critical assembly might consist
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