2021
DOI: 10.1080/00295450.2021.1909372
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Comparison Between Historic Nuclear Explosion Yield Formulas

Abstract: During the Manhattan project a simple formula was developed by Bethe and Feynman in 1943 to estimate the yield of a fission-only nuclear explosion of a uniformly-dense bare-sphere of supercritical fissile material. We have not found any evidence that Bethe and Feynman knew of the first yield formula obtained by Frisch and Peierls contained within their famous March 1940 memorandum. Similarly, we have not found any technical documents that compare the Bethe-Feynman formula to the earlier works of Frisch and Pei… Show more

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Cited by 13 publications
(3 citation statements)
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“…The prompt fission neutron spectrum (PFNS) was needed to inform calculations of the critical mass, and therefore to determine the amounts of highly enriched uranium (or plutonium) needed. It also determines the neutron velocities in dynamic calculations [4].…”
Section: Figurementioning
confidence: 99%
“…The prompt fission neutron spectrum (PFNS) was needed to inform calculations of the critical mass, and therefore to determine the amounts of highly enriched uranium (or plutonium) needed. It also determines the neutron velocities in dynamic calculations [4].…”
Section: Figurementioning
confidence: 99%
“…Bethe and Feynman, both future Nobel laureates, developed an important equation for predicting the expected nuclear fission efficiency, as described by Lestone. 11 Computing using both "human computers" and IBM punched-card machines enabled these Theoretical Division efforts, too, as described by Lewis 12 and Archer. 13 It is well known that Little Boy entered combat without a full-scale test, but there is more to the story.…”
Section: All Possible Prioritymentioning
confidence: 99%
“…This work has had an enduring influence over the past 75 years; our classified research journal on Trinity has no fewer than five papers on different aspects of the formula--three from Los Alamos, one from Livermore, and one from AWE. A short paper by Lestone and Rosen (Livermore) 24 describes, for the first time, the formula and its relationship to earlier wartime British work by Frisch and Peierls and by Pryce and Dirac. (Wigner, who was Dirac's brother-in-law, said that "Feynman is a second Dirac, only this time human" 25 !…”
mentioning
confidence: 99%