Monte Carlo Binary Collision Approximation

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When uranium-235 undergoes fission, the average of the fragment mass is about 118, but it is more probable that the pair will have an unequal distribution in mass. A common pair of fragments from uranium-235 fission is xenon and strontium as shown in the reaction:


[math]^{235}U+n\rightarrow ^{236}U^{*} \rightarrow ^{140}Xe+^{94}Sr+2n[/math]


Figure 1: Typical Uranium 235 fission fragments Xenon and Strontium.


Nuclear fission of uranium-235 yields an enormous amount of energy from the fact that the fission products have less total mass than the uranium nucleus, a mass change that is converted to energy by the Einstein relationship [math]E=mc^2[/math]. Using the Law of Conservation of Energy, we can look at the total energy before and after the fission to determine how much energy is released in this process.

[math]^{235}_{92}U : 218.8969\ GeV[/math]
[math]^{140}_{54}Xe : 130.4092\ GeV[/math]
[math]^{94}_{38}Sr : 87.56\ GeV[/math]