<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE root>
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">51129</article-id><article-id pub-id-type="edn">JWJLRL</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Physics and Astronomy</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Физика</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Resonant Atom Model and the Formation of Valence Bonds</article-title><trans-title-group xml:lang="ru"><trans-title>Резонансная модель атома и формирование валентных связей</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Magarshak</surname><given-names>Yu. B.</given-names></name><name xml:lang="ru"><surname>Магаршак</surname><given-names>Ю. Б.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">MathTech Inc</institution></aff><aff><institution xml:lang="ru">МатТек Инк</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2007-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2007</year></pub-date><issue>1-2</issue><issue-title xml:lang="en">NO12 (2007)</issue-title><issue-title xml:lang="ru">№12 (2007)</issue-title><fpage>100</fpage><lpage>116</lpage><history><date date-type="received" iso-8601-date="2026-07-08"><day>08</day><month>07</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2007, Magarshak Y.B.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2007, Магаршак Ю.Б.</copyright-statement><copyright-year>2007</copyright-year><copyright-holder xml:lang="en">Magarshak Y.B.</copyright-holder><copyright-holder xml:lang="ru">Магаршак Ю.Б.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/51129">https://journals.rudn.ru/miph/article/view/51129</self-uri><abstract xml:lang="en">The nature of the valence bond is traditionally attributed to the displacement of electronic orbitals in space between interacting atoms. At the same time, a number of experimental facts, in particular, the existence of four-dimensional structural symmetry between the filling of electron shells and periodical properties of elements require a change in the standard valence concept. A model in which valence bonds are caused by the resonant interaction between the shell electrons of one atom and the protons of another atom seems to be more adequate.</abstract><trans-abstract xml:lang="ru">Природу валентных связей традиционно объясняют смещением электронных орбиталей в пространстве между взаимодействующими атомами. В то же время ряд экспериментальных фактов, например, существование четырехмерной симметрии между заполнением электронных оболочек и периодическими свойствами химических элементов, требует пересмотра стандартной концепции валентности. Модель, в которой валентные связи вызываются резонансным взаимодействием между электронной оболочкой одного атома и протонами другого атома, представляется более адекватной.</trans-abstract></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Pauling L. The Nature of the Chemical Bond and the Structure of Molecules and Crystals: An Introduction to Modern Structural Chemistry. - Ithaca: Cornell Univ. Press, 1939.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Levine I. N. Quantum Chemistry. - 5th ed. edition. - Englewood Cliffs: Prentice Hall, 2000.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Pauling L. The Nature of the Chemical Bond // J. Am. Chem. Soc. - Vol. 53. - 1931. - Pp. 1367-1400.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Mendeleev D. On the Relationship of the Properties of the Elements to Their Atomic Weights // Zh. Russ. Fiz.-Khim. O-va. - Vol. 1. - 1869. - Pp. 60-77.</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Mendeleev D. On the Relationship of the Properties of the Elements to Their Atomic Weights // Z. Chem. - Vol. 12. - 1869. - Pp. 405-406.</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Magarshak Y., Malinsky J. A Three-Dimensional Periodic Table // Nature. - Vol. 360. - 1992. - Pp. 114-115.</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Magarshak Y. Four-Dimensional Pyramidal Structure of the Periodic Properties of Atoms and Chemical Elements // Sci. Isr. Technol. Adv. - Vol. 7, No 1, 2. - 2006. - Pp. 134-150.</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Bogomolov F., Magarshak Y. On Commuting Operators Related to Asymptotic Symmetries in the Atomic Theory // Sci. Isr. Technol. Adv. - Vol. 7, No 3. - 2006.</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>Pauling L. The Shared-Electron Chemical Bond // Proc. Natl. Acad. Sci. USA. - Vol. 14. - 1928. - Pp. 359-362.</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Mandelshtam L. I., Tamm I. E. The Uncertainty Relation between Energy and Time in Nonrelativistic Quantum Mechanics // Izv. Akad. Nauk SSSR, Ser. Fiz. - Vol. 9. - 1945. - Pp. 122-128.</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Landau L. D., Lifshitz E. M. Nonrelativistic Quantum Mechanics. - Moscow: Nauka, 1974.</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Heitler W., London F. Wechselwirkung neutraler Atome und homopolare Bindung nach der Quantenmechanik (Interaction Between Neutral Atoms and Homopolar Binging According to Quantum Mechanics) // Z. Phys. - Vol. 44. - 1927. - Pp. 455-472.</mixed-citation></ref><ref id="B13"><label>13.</label><mixed-citation>London F. Probleme der Modernen Physik / Ed. by S. Herzel. - Leipzig: Sommerfeld Festschrift, 1928. - Pp. 104-113.</mixed-citation></ref><ref id="B14"><label>14.</label><mixed-citation>Polanyi M., Wigner E. // Z. Phys. Chem. A. - Vol. 139. - 1928. - P. 439.</mixed-citation></ref><ref id="B15"><label>15.</label><mixed-citation>Eyring H., Polanyi M. On Simple Gas Reactions // Z. Phys. Chem. B. - Vol. 12. - 1931. - P. 279.</mixed-citation></ref><ref id="B16"><label>16.</label><mixed-citation>van’t Hoff J. H. Etudes de Dynamiques Chimiques. - Amsterdam: F. Muller and Co., 1884. - P. 114.</mixed-citation></ref><ref id="B17"><label>17.</label><mixed-citation>Arrhenius S. On Simple Gas Reactions // Z. Phys. Chem. - Vol. 4. - 1889. - P. 226.</mixed-citation></ref><ref id="B18"><label>18.</label><mixed-citation>Slater J. C. Directed Valence in Polyatomic Molecules // Phys. Rev. - Vol. 37. - 1931. - P. 481.</mixed-citation></ref><ref id="B19"><label>19.</label><mixed-citation>Hund F. Linienspektren und Periodisches System der Elemente. - Berlin: Springer, 1927.</mixed-citation></ref><ref id="B20"><label>20.</label><mixed-citation>Hund F. // Z. Phys. - Vol. 52. - 1929. - P. 606.</mixed-citation></ref><ref id="B21"><label>21.</label><mixed-citation>Mulliken R. S. // Rev. Mod. Phys. - Vol. 2. - 1930. - Pp. 99-100.</mixed-citation></ref><ref id="B22"><label>22.</label><mixed-citation>Mulliken R. S. // Phys. Rev. - Vol. 33. - 1929. - P. 507.</mixed-citation></ref><ref id="B23"><label>23.</label><mixed-citation>Mulliken R. S. // Phys. Rev. - Vol. 30. - 1927. - P. 138.</mixed-citation></ref><ref id="B24"><label>24.</label><mixed-citation>Mulliken R. S. // Phys. Rev. - Vol. 33. - 1929. - P. 738.</mixed-citation></ref><ref id="B25"><label>25.</label><mixed-citation>Mulliken R. S. // Phys. Rev. - Vol. 36. - 1930. - P. 1449.</mixed-citation></ref><ref id="B26"><label>26.</label><mixed-citation>Hund F. // Z. Phys. - Vol. 63. - 1930. - Pp. 719-751.</mixed-citation></ref><ref id="B27"><label>27.</label><mixed-citation>The Chemical Bond: Structure and Dynamics / Ed. by A. H. Zewail. - Boston: Academic, 1992.</mixed-citation></ref><ref id="B28"><label>28.</label><mixed-citation>Zewail A. H. Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond // J. Phys. Chem. A. - Vol. 104. - 2000. - Pp. 5660-5694.</mixed-citation></ref><ref id="B29"><label>29.</label><mixed-citation>Femtochemistry and Femtobiology: Ultrafast Events in Molecular Science / Ed. by M. M. Martin, J. T. Hynes. - New York: Elsevier, 2002.</mixed-citation></ref><ref id="B30"><label>30.</label><mixed-citation>Sinai Y. G. Dynamical Systems with Elastic Reflections. Ergodic Properties of Dispersing Billiards // Russ. Math. Surveys. - Vol. 25, No 2. - 1970. - Pp. 137- 189.</mixed-citation></ref><ref id="B31"><label>31.</label><mixed-citation>Bunimovich L. A., Sinai Y. G. On a Fundamental Theorem in the Theory of Dispersing Billiards // Math. USSR, Sb.19. - Vol. 3. - 1973. - Pp. 407-423.</mixed-citation></ref></ref-list></back></article>
