Innovative Theoretical Correlation of eπ With Mass, Number of Atoms and Enrichment Percentage (%E) Using Sayed’s Enrichment Formula
DOI:
https://doi.org/10.24297/jap.v20i.9180Keywords:
Correlation eπ and N AW AN M η Iγ T1/2., Sayed`s Enrichment formulaAbstract
This article introduces an innovative theoretical correlation between eπ and enrichment percentage (%E) assay. Based on the published Sayed`s theorem and its applications, a simple equation was derived to calculate the %E. Different formulas for enrichment percentage calculation are also presented in this work. The theoretical calculations using the eπ formula show results with deviation from 0.96 to ~2.8%. A correlation between eπ, number of atoms (N), count rate (C), half life time (T1/2), efficiency (η) of the detector at specific energy, the branching ratio (Iγ), Avogadro`s number (AN), atomic weight (AW) and mass (M) was also found and elucidated. It can sharply state that this is first time to calculate the %E correlated with eπ by using what is called Sayed`s enrichment formula. The correlation of eπ and N AW AN M η Iγ T1/2 is a unique and pioneer scientific approach in the nuclear fields.
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IAEA, “IAEA Safeguards and SSAC advisory service (ISSAS) guidelines”, IAEA Services Series No. 13 (Rev. 1). Oct. 2021.
IAEA. “International Safeguards in the design of enrichment plants”, IAEA nuclear energy series No. NF-T-4.10, IAEA. VIENNA, Austria, 2019
A. F. Elsayed, M. T. Hussein, Sayed A. El-Mongy, H. F. Ibrahim, and A. Shazly, "Different Approaches to Purify the 185.7 keV of 235U from Contribution of Another Overlapping γ-Transition," Physics of Particles and Nuclei Letters, vol. 18, no. 2, pp. 202-209, 2021/03/01,2021. doi: 10.1134/S1547477121020060.
P. Martreau and R. Berndet, “Handbook of gamma spectrometry methods for non-destructive assay of nuclear materials”, Joint research center, JRC, Ispra, EUR report, revision 4, 2010.
Ahmed F. Elsayed, Mohamed T. Hussein, Sayed A. El-Mongy, Hassan F. Ibrahim, Ahmed Shazly, Mohamed A.E. Abdel-Rahman, “Signature Verification of 235U/238U Activity Ratio for Ores and Natural Samples using γ-Spectrometry and a Derived Equation”,, ISSN 1547-4771, Physics of Particles and Nuclei Letters, 2021.
B. Van Loat, N. C. Tam, P. D. Khue, and B. M. Hue, "Experimental determination of enrichment of uranium material by gamma-spectroscopic technique," VNU Journal of Science: Mathematics-Physics, vol. 29, no. 2, 2013.
M. A. Abdel‐Rahman, H. Abu Shady, and Sayed A. El‐Mongy, "Analysis of Ores and its Purified Constituents by γ‐Spectrometry with Calculation of Uranium Isotopic Atom, Mass, and Activity Ratios," Zeitschrift für anorganische und allgemeine Chemie, vol. 644, no. 10, pp. 477-482,2018.
Soltan H. and Sayed A. El-mongy, “Gamma assay and absolute efficiency estimation at different energies for verifying 235U percentage”, Isotope & RAD RES., 40 (1), 2008.
Sayed A. El-mongy and Humaid A. I.,” Depleted, natural and low enriched uranium verification by recent portable passive non-destructive assay tools”, Journal of nuclear and radiation physics, vol.2, no. 2, 2007.
Sayed Ali El-Mongy, “New Theorem and Formula for Circle Arc Length Calculations with Trigonometric Approach Application in Astrophysics”, Journal of Advances in Physics Vol 17 (2020), DOI: https://doi.org/10.24297/jap.v18i.8914
Sayed A. El-Mongy, “Proposed Innovative Correlations for some Nuclear and Radiological Fields using Theorem of S. El-Mongy”, Journal of Advances in Physics Vol 19 (2021) DOI:https://doi.org/10.24297/jap.v19i.8946 .
IAEA. “Technology Roadmap for Small Modular Reactor Deployment”, IAEA Nuclear energy series No. NR T 1.18, IAEA, VIENNA, 2021.
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