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Crystallization of Hard-Sphere Assembly of Fermions
American Journal of Modern Physics
Volume 5, Issue 1, January 2016, Pages: 15-19
Received: Jan. 17, 2016; Accepted: Jan. 29, 2016; Published: Feb. 17, 2016
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Samuel Limo Chelimo, Department of Physics, University of Eldoret, Eldoret, Kenya
Khanna Mohan Kapil, Department of Physics, University of Eldoret, Eldoret, Kenya
Joel Kipkorir Tonui, Department of Physics, University of Eldoret, Eldoret, Kenya
Godfrey Sylvanous Murunga, Department of Physics, University of Eldoret, Eldoret, Kenya
Joshua Kiprotich Kibet, Department of Chemistry, Egerton University, Egerton, Kenya
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Crystallization of a hard-sphere system of fermions with densities ranging from low to high values has been studied. Saturation densities at which the total energy E, is maximum has been calculated. The values of saturation particle number densities ps for low and high densities are; 7.11x1021 particles/cm3 and 1.502x1023 particles/cm3 respectively at which the fermions close pack or crystallize. Variation of ps with hard-sphere diameter C is not linear and it is more or less the same for both low and high density since crystallization occurs in both the cases. The total energy, E, has been found to vary non-linearly with p at high densities and closely linear for low density. The value of E for low density is 1.435x10-22 J, and for high density it is 3.113x10-21 J. These findings are consistent with experimental and computer-simulated results obtained by others.
Fermions, Crystallization, Saturation Density
To cite this article
Samuel Limo Chelimo, Khanna Mohan Kapil, Joel Kipkorir Tonui, Godfrey Sylvanous Murunga, Joshua Kiprotich Kibet, Crystallization of Hard-Sphere Assembly of Fermions, American Journal of Modern Physics. Vol. 5, No. 1, 2016, pp. 15-19. doi: 10.11648/j.ajmp.20160501.12
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This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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