Spontaneous fission
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Nuclear processes 

Radioactive decay processes

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 highatomicnumber actinide elements, such as mendelevium and lawrencium, and the transactinide 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 approximately:
 <math>\hbox{Z}^2/\hbox{A}\ge45.</math>
Where Z is the atomic number and A is the mass number (e.g., 235 for U235).
As the name suggests, spontaneous fission follows the exact same process as nuclear fission, except that it occurs without the atom having been struck by a neutron or other particle. Spontaneous fissions release neutrons as all fissions do, so if a critical mass is present, a spontaneous fission can initiate a chain reaction. Also, radioisotopes for which spontaneous fission is a nonnegligible decay mode may be used as neutron sources; californium252 (halflife 2.645 years, SF branch ratio 3.09%) is often used for this purpose. The neutrons may then be used to inspect airline luggage for hidden explosives, to gauge the moisture content of soil in the road construction and building industries, to measure the moisture of materials stored in silos, and in other applications.
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 uranium238 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.
[edit] Spontaneous fission rates
Spontaneous fission rates:<ref>Shultis, J. Kenneth, Richard E. Faw (2002). Fundamentals of Nuclear Science and Engineering. Marcel Dekker, Inc., pp. 137 (table 6.2). ISBN 0824708342.</ref>
Nuclide  Halflife  Fission prob. per decay (%)  Neutrons per fission  Neutrons per g s 

U235  7.04*10^{8} years  2.0*10^{7} %  1.86  3.0*10^{4} 
U238  4.47*10^{9} years  5.4*10^{5} %  2.07  0.0136 
Pu239  2.41*10^{4} years  4.4*10^{10} %  2.16  2.2*10^{2} 
Pu240  6569 years  5.0*10^{6} %  2.21  920 
Cf252  2.638 years  3.09 %  3.73  2.3*10^{12} 
In practice Pu239 will invariably contain a certain amount of Pu240 due to the tendency of Pu239 to absorb an additional neutron during production. Pu240's high rate of spontaneous fission events makes it an undesirable contaminant. Weaponsgrade plutonium contains no more than 7% Pu240.
The guntype 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 U235 is suitable.
[edit] Notes
<references/>de:Spontane Spaltung ko:자발 핵분열 nl:Spontane splijting fi:Spontaani fissio pt:Fissão nuclear espontânea