Spontaneous fission
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Radioactive decay processes
Nucleosynthesis
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Spontaneous fission (SF) is a form of radioactive decay characteristic of very heavy isotopes, and is theoretically possible for any atomic nucleus whose mass is greater than or equal to 100 amu (elements near ruthenium). In practice, however, spontaneous fission is only energetically feasible for atomic masses above 230 amu (elements near thorium). The elements most susceptible to spontaneous fission are the trans-actinide elements, such as rutherfordium.
For uranium and thorium, the spontaneous fission mode of decay does occur but is not seen for the majority of radioactive breakdowns and is usually neglected except for the exact considerations of branching ratios when determining the activity of a sample containing these elements. Mathematically, the criterion for whether spontaneous fission can occur is:
- [\hbox^2/\hbox\approx45.]
As long as the fissions give a negligible reduction of the amount of nuclei that can spontaneously fission, this is a Poisson process: for very short time intervals the probability of a spontaneous fission is proportional to the length of time.
The spontaneous fission of uranium-238 leaves trails of damage in uranium containing minerals as the fission fragments recoil through the crystal structure. These trails, or fission tracks provide the basis for the radiometric dating technique: fission track dating.
Spontaneous fission rates
Spontaneous fission rates:- U-235: 0.2 - 0.3 fissions/s-kg
- U-238: 7 fissions/s-kg
- Pu-239: 10 fission/s-kg
- Pu-240: 415,000 fission/s-kg (ca. 1,000,000 neutrons/s-kg)
The gun-type fission weapon has a critical insertion time of ca. 1ms, and the probability of a fission during this time interval should be small. Therefore only U-235 is suitable.
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