A pedagogical derivation of critical radius for a fissile sphere equates average neutron path length to the distance needed for neutron balance, agreeing with known masses at the few-percent level.
Chadwick, Nuclear Science for the Manhattan Project and Comparison to Today’s ENDF Data , Nuclear Technology 207, Supplement 1, pp
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An elementary method to determine the critical mass of a sphere of fissile material based on a separation of neutron transport and nuclear reaction processes
A pedagogical derivation of critical radius for a fissile sphere equates average neutron path length to the distance needed for neutron balance, agreeing with known masses at the few-percent level.