Yield Estimation Formula of 239

Deep Jyoti Dutta, *Division of (DNP), American Physical Society, College Park, Maryland

Abstract

The necessity of this note is to propose a theoretical formula to calculate the energy release in fissile plutonium 239 radioisotope or radionuclide in a nuclear fission reaction. This equation can approximately predict the yield of the fission energy of pu-239. The derivation may be kept classified.

239 235 4 The unexpected discovery of radioactivity by 푃푢 → 푈 + 퐻푒 Professor Becquerel in 1896 ushered a new 94 92 2 possibility towards understanding the Using radioactive displacement law one can nuclear properties of an atom. Rutherford’s observe that in , nuclear model is highly priceless because for (퐴 ) decreases by 4 and atomic number(푝) his new interpretation of his alpha scattering decreases by 2. The formula to approximate experiments by assuming a small dense core the energy release in pu fission 퐸 is given overall positive charge which he coined as by nucleus. and Fritz strassmann claimed that a nuclear fission reaction was 7퐸 ′ 퐸 + 푀 discovered in on 17th December 1938 ≅ 휋 5 푃 during the ruling period of great dictator Adolf Hitler, that discovery was a milestone in Therefore one can easily observe that the . Then in 1942 a team ′ led by brilliant Professor 5 퐸 + 푀 퐸 ≅ 휋 discovered the first man-made self sustaining 7 푃 in the world’s first Such a formula will show an approximate named Chicago Pile-1 or CP-1 value of 205.9 MeV. 퐸′ is the binding energy in University of Chicago. CP-1 was actually of pu-239 which is 1806.921454 assembled for research in nuclear fission MeV, 푀 = 939.56 푀푒푉 mass of and which consequently led to the development of 푃 = (퐴 − 푁 ) = (239 − 145) = the most terrifying weapons in human history 94 푝푟표푡표푛푠. the atom bomb in a project called with Julius Robert Oppenheimer as a director. The present note derives a very sensitive formula to compute the energy release in nuclear fission in one atom of fissile radioisotope plutonium 239, thus evading the traditional way to compute the energy release as because this formula is derived from some highly classified special consequence. The natural alpha decay of pu-239 is