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Two Body IsoElectronium Model of the Heliumic Systems

Received: 28 August 2016     Accepted: 30 August 2016     Published: 26 September 2017
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Abstract

In preceding works, one of us (R. M. Santilli) has shown that, according to quantum chemistry, identical electrons cannot create the strong bond occurring in molecular structures due to their strongly repulsive Coulomb interaction; has constructed hadronic chemistry as a non-unitary covering of quantum chemistry solely valid at mutual distances of 10-13cm; has introduced contact non-Hamiltonian interactions in the deep penetration of the wavepackets of valence electrons that overcomes said Coulomb repulsion, resulting in a strongly attractive bond of valence electron pairs in singlet called ’isoelectronium’ and shown that the new valence bond allows an exact and time invariant representation of the binding energy of the hydrogen and water molecules. By using these advances and our inference that (from the fact that an atomic lone pair of electrons form a coordinate covalent bond identified by G. N. Lewis) the lone pairs of electrons are indeed isoelectronium, in this paper we present, apparently for the first time, a new structure model of the Helium atom under the name of Iso-Helium, in which the two electrons of a given orbital are strongly coupled into the isoelectronium that provided a quantitative description of Pauli exclusion principle. In particular, as a result of the strongly bound state of Santilli isoelectronium, the iso-Helium reduces to be a two-body system, thus admitting exact analytic solution. The presented analytic solution is applicable to all Helium-like systems. Using it we have calculated effective charge on the nuclei of Helium-like systems that are in excellent agreement with the literature values.

Published in American Journal of Modern Physics (Volume 6, Issue 4-1)

This article belongs to the Special Issue Issue III: Foundations of Hadronic Chemistry

DOI 10.11648/j.ajmp.s.2017060401.13
Page(s) 29-45
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Covalence, Isoelectronium, Helium, Hadronic Chemistry

References
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[2] W. Kauzmann, Quantum Chemistry. An Introduction. New York: Academic Press, First ed., 1957.
[3] M. W. Hanna, Quantum Mechanics and Chemistry. Colorado-Bolden: Benjamin-Cumming, 1981.
[4] R. K. Prasad, Quantum Chemistry. New Delhi: New Age International, 2006.
[5] G. N. Lewis, Valence and Structure of Atoms and Molecules. New York: The Chemical Catalog Company, Inc., 1923.
[6] R. M. Santilli, Foundations of Hadronic Chemistry. With Applications to New Clean Energies and Fuels. P. O. Box 17, 3300 AA Dordrecht, The Netherlands: Kluwer Academic Publishers, Dordrecht/Boston/London, 2001.
[7] V. M. Tangde, “Advances in hadronic chemistry and its applications,” CACAA, vol. 2, no. 4, pp. 365–391, 2013.
[8] V. M. Tangde, “Advances in hadronic chemistry and its applications,” Found. Chem., vol. 17, no. 2, pp. 163–179, 2015.
[9] V. M. Tangde, “Comprehensive review of hadronic chemistry and its applications,” in AIP Conference Procedings, vol. 1648, pp. 5100181–5, 2015.
[10] R. M. Santilli and D. D. Shillady, “A new isochemical model of the hydrogen molecule,” Intern. J. Hydrogen Energy, vol. 24, pp. 943–956, 1999.
[11] R. M. Santilli and D. D. Shillady, “A new isochemical model of the water molecule,” Intern. J. Hydrogen Energy, vol. 25, pp. 173–183, 2000.
[12] A. A. Bhalekar and R. M. Santilli, “Exact and invariant representation of nuclear magnetic moments and spins according to hadronic mechanics,” Am. J. Modern Phys., vol. 5, pp. 56–118, June 2016.
[13] http://calistry.org/calculate/slaterRuleCalculator
[14] E. Clementi and D. L. Raimondi, “Atomic screening constants from scf functions,” Journal of Chemical Physics, vol. 38, no. 11, pp. 2686 – 2689, 1963.
[15] E. Clementi, D. L. Raimondi, and W. P. Reinhardt, “Atomic screening constants from scf functions. II. Atoms with 37 to 86 electrons,” Journal of Chemical Physics, vol. 47, no. 4, pp. 1300–1307, 1967.
[16] http://en.wikipedia.org/wiki/Effective_nuclear_charge.
[17] “Clementi-Raimondi effective nuclear charge navigation.” http://www.knowledgedoor.com/2/elements_handbook/clementi-raimondi_effective_nuclear_charge.html#sthash.sLUuiofA.dpuf
[18] S. Glasstone, Sourcebook on Atomic Energy. Affiliated East-West Press Pvt. Ltd., New Delhi: D. Van Nostrand Company, INC., Princeton, New Jersey, U. S. A., Third ed., 1967, 1969 (Student Edition).
[19] R. M. Santilli, Elements of Hadronic Mechanics, Vol. I: Mathematical Foundations. Kiev 4, 252601, Ukraine: Ukraine Academy of Sciences, Institute for Theoretical Physics, Naukova Dumka Publishers, 3 Tereshchenkivska Street, 2nd ed., 1995. (1st edition 1993).
[20] R. M. Santilli, Elements of Hadronic Mechanics, Vol. II: Theoretical Foundations. Kiev 4, 252601, Ukraine: Ukraine Academy of Sciences, Institute for Theoretical Physics, Naukova Dumka Publishers, 3 Tereshchenkivska Street, 2nd ed., 1995. (1st edition 1994).
[21] A. O. E. Animalu, “Isosuperconductivity: A nonlocal-nonhamiltonian theory of pairing in high-tc superconducitivity,” Hadronic Journal, vol. 17, pp. 349–427, 1994.
[22] A. O. E. Animalu and R. M. Santilli, “Nonlocal isotopic representation of the cooper pair in superconductivity,” International Journal of Quantum Chemistry, vol. 29, pp. 175–187, 1995.
[23] I. Gandzha and J. Kadeisvili, New Sciences for a New Era. Sankata Printing Press, Kathmandu, Nepal, 2011.
[24] R. M. Santilli, “The notion of nonrelativistic isoparticle,” ICTP preprint, p. # IC/91/265, 1991.
[25] R. M. Santilli, “Theory of mutation of elementary particles and its application to Rauch’s experiment on the spinorial symmetry,” ICTP preprint, p. # IC/91/265, 1991.
[26] R. M. Santilli, “Need of subjecting to an experimental verification the validity within a hadron of Einstein’s special relativity and Pauli’s exclusion principle,” Hadronic J., vol. 1, pp. 574–901, 1978.
[27] P. Atkins and J. de Paula, Atkins’ Physical Chemistry. 41 Madison Avenue New York, NY 10010: W. H. Freeman and Company, Eighth ed., 2006.
[28] R. Anantharaman, Fundamentals of Quantum Chemistry. New Delhi: Macmillan India Ltd., First ed., 2001.
[29] “Ionization energies of the elements (data page).” http://en.wikipedia.org/wiki/Ionization_energies_of_the_elements_%28data_page%29
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Cite This Article
  • APA Style

    Anil A. Bhalekar, Ruggero M. Santilli. (2017). Two Body IsoElectronium Model of the Heliumic Systems. American Journal of Modern Physics, 6(4-1), 29-45. https://doi.org/10.11648/j.ajmp.s.2017060401.13

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    ACS Style

    Anil A. Bhalekar; Ruggero M. Santilli. Two Body IsoElectronium Model of the Heliumic Systems. Am. J. Mod. Phys. 2017, 6(4-1), 29-45. doi: 10.11648/j.ajmp.s.2017060401.13

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    AMA Style

    Anil A. Bhalekar, Ruggero M. Santilli. Two Body IsoElectronium Model of the Heliumic Systems. Am J Mod Phys. 2017;6(4-1):29-45. doi: 10.11648/j.ajmp.s.2017060401.13

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  • @article{10.11648/j.ajmp.s.2017060401.13,
      author = {Anil A. Bhalekar and Ruggero M. Santilli},
      title = {Two Body IsoElectronium Model of the Heliumic Systems},
      journal = {American Journal of Modern Physics},
      volume = {6},
      number = {4-1},
      pages = {29-45},
      doi = {10.11648/j.ajmp.s.2017060401.13},
      url = {https://doi.org/10.11648/j.ajmp.s.2017060401.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2017060401.13},
      abstract = {In preceding works, one of us (R. M. Santilli) has shown that, according to quantum chemistry, identical electrons cannot create the strong bond occurring in molecular structures due to their strongly repulsive Coulomb interaction; has constructed hadronic chemistry as a non-unitary covering of quantum chemistry solely valid at mutual distances of 10-13cm; has introduced contact non-Hamiltonian interactions in the deep penetration of the wavepackets of valence electrons that overcomes said Coulomb repulsion, resulting in a strongly attractive bond of valence electron pairs in singlet called ’isoelectronium’ and shown that the new valence bond allows an exact and time invariant representation of the binding energy of the hydrogen and water molecules. By using these advances and our inference that (from the fact that an atomic lone pair of electrons form a coordinate covalent bond identified by G. N. Lewis) the lone pairs of electrons are indeed isoelectronium, in this paper we present, apparently for the first time, a new structure model of the Helium atom under the name of Iso-Helium, in which the two electrons of a given orbital are strongly coupled into the isoelectronium that provided a quantitative description of Pauli exclusion principle. In particular, as a result of the strongly bound state of Santilli isoelectronium, the iso-Helium reduces to be a two-body system, thus admitting exact analytic solution. The presented analytic solution is applicable to all Helium-like systems. Using it we have calculated effective charge on the nuclei of Helium-like systems that are in excellent agreement with the literature values.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Two Body IsoElectronium Model of the Heliumic Systems
    AU  - Anil A. Bhalekar
    AU  - Ruggero M. Santilli
    Y1  - 2017/09/26
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    N1  - https://doi.org/10.11648/j.ajmp.s.2017060401.13
    DO  - 10.11648/j.ajmp.s.2017060401.13
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 29
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    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.s.2017060401.13
    AB  - In preceding works, one of us (R. M. Santilli) has shown that, according to quantum chemistry, identical electrons cannot create the strong bond occurring in molecular structures due to their strongly repulsive Coulomb interaction; has constructed hadronic chemistry as a non-unitary covering of quantum chemistry solely valid at mutual distances of 10-13cm; has introduced contact non-Hamiltonian interactions in the deep penetration of the wavepackets of valence electrons that overcomes said Coulomb repulsion, resulting in a strongly attractive bond of valence electron pairs in singlet called ’isoelectronium’ and shown that the new valence bond allows an exact and time invariant representation of the binding energy of the hydrogen and water molecules. By using these advances and our inference that (from the fact that an atomic lone pair of electrons form a coordinate covalent bond identified by G. N. Lewis) the lone pairs of electrons are indeed isoelectronium, in this paper we present, apparently for the first time, a new structure model of the Helium atom under the name of Iso-Helium, in which the two electrons of a given orbital are strongly coupled into the isoelectronium that provided a quantitative description of Pauli exclusion principle. In particular, as a result of the strongly bound state of Santilli isoelectronium, the iso-Helium reduces to be a two-body system, thus admitting exact analytic solution. The presented analytic solution is applicable to all Helium-like systems. Using it we have calculated effective charge on the nuclei of Helium-like systems that are in excellent agreement with the literature values.
    VL  - 6
    IS  - 4-1
    ER  - 

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Author Information
  • Department of Chemistry, R. T. M. Nagpur University, Amravati Road Campus, Nagpur, India

  • Thunder Energies Corporation, Tarpon Springs, Florida, U. S. A.

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