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What and How Physics Contributes to Understanding the Periodic Law

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Abstract

The current status of explanation worked out by Physics for the Periodic Law is considered from philosophical and methodological points of view. The principle gnosiological role of approximations and models in providing interpretation for complicated systems is emphasized. The achievements, deficiencies and perspectives of the existing quantum mechanical interpretation of the Periodic Table are discussed. The mainstream ab initio theory is based on analysis of selfconsistent one-electron effective potential. Alternative approaches employing symmetry considerations and applying group theory usually require some empirical information. The approximate dynamic symmetry of one-electron potential casts light on the secondary periodicity phenomenon. The periodicity patterns found in various multiparticle systems (atoms in special situations, atomic nuclei, clusters, particles in the traps, etc) comprise a field for comparative study of the Periodic Laws found in nature.

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REFERENCES

  • R. Ausubel. Journal of Chemical Education 53: 645, 1976.

    Google Scholar 

  • A. O. Barut. In B. G. Wybourne (Ed.), The Structure of Matter, Proc. Rutherford Centennial Symposium. University of Canterbury Publications, Bascands, Christchurch, New Zealand, pp. 126-136, 1972.

    Google Scholar 

  • V. M. Bedanov and F. M. Peeters. Physical Review B 49: 2667-2676, 1994.

    Article  Google Scholar 

  • M. Berrondo and O. Novaro. Journal of Physics B 6: 761-769, 1973.

    Article  Google Scholar 

  • H. A. Bethe and P. Morrison. Elementary Nuclear Theory. John Wiley & Sons, New York, NY, 1956.

    Google Scholar 

  • J. P. Birk. Period. In J. J. Lagowski (Ed.), MacMillan's Encyclopaedia of Chemistry, Vol. III. Macmillan Reference, New York, NY, p. 22, 1997.

    Google Scholar 

  • E. V. Biron. Zhurnal Russkogo Fiziko-Khimicheskogo Obschestva, Chast' Khimicheskaya 47: 964-988, 1915.

    Google Scholar 

  • M. Block, A. Drakoudis, H. Leuthner, P. Siebert and G. Werth. Crystalline Ion Structures in a Paul Trap. In ICAP 2000, XVII International Conference on Atomic Physics, Università di Firenze, p. H.2, 2000a.

  • M. Block, A. Drakoudis, H. Leuthner, P. Siebert and G. Werth. Journal of Physics B33: L375-L382, 2000b.

    Google Scholar 

  • N. Bohr. Collected Works, vol. 4 (Periodic System (1920-1923)), edited by J. Rud Nielsen, North Holland, Amsterdam, 1977.

    Google Scholar 

  • N. Bohr. Collected Works, vol. 10 (Complementary beyond Physics), edited by D. Favrholdt, Elsevier, Amsterdam, 1999.

    Google Scholar 

  • N. Bohr. Zeitschrift für Physik 9: 1-67, 1922.

    Article  Google Scholar 

  • D. Bonastsos, N. Karoussos, P. P. Raychev, R. P. Roussev and P. A. Terziev. Chemical Physics Letters 302: 392-398, 1999.

    Article  Google Scholar 

  • D. Bonastsos, N. Karoussos, D. Lenis, P. P. Raychev, R. P. Roussev and P. A. Terziev. Physical Review A 62: 013203, 2000.

    Article  Google Scholar 

  • L. Bosi. Nuovo Cimento B 76: 89-96, 1983.

    Google Scholar 

  • B. Carroll and A. Lehrman. Journal of Chemical Education 25: 662-666, 1942.

    Google Scholar 

  • E. U. Condon and H. Odabasi. Atomic Structure. Cambridge University Press, Cambridge, 1980.

    Google Scholar 

  • J. P. Connerade. Highly Excited Atoms. Cambridge University Press, Cambridge, 1998.

    Google Scholar 

  • J. P. Connerade, V. K. Dolmatov and P. A. Lakshmi. Journal of Physics B 33: 251-264, 2000.

    Article  Google Scholar 

  • H. H. Dash. International Journal of Quantum Chemistry (Symposium) IIIS: 335-340, 1969.

    Google Scholar 

  • Yu. N. Demkov and V. N. Ostrovsky. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 60: 2011-2018, 1971a [Soviet Physics — Journal of Experimental and Theoretical Physics 33: 1083-1087, 1971].

    Google Scholar 

  • Yu. N. Demkov and V. N. Ostrovsky. Zhural Eksperimental'noi i Teoreticheskoi Fiziki 62: 125-132, 1971b; Errata 63: 2376, 1972 [Soviet Physics — Journal of Experimental and Theoretical Physics 35: 66-69, 1972].

    Google Scholar 

  • Yu. N. Demkov and N. B. Berezina. Optika i Spektroskopiya 34: 814-845, 1973 [Opitcs & Spectroscopy 34: 485-487, 1973].

    Google Scholar 

  • I. Exman, J. Katriel and R. Pauncz. Chemical Physics Letters 36: 161-165, 1975.

    Article  Google Scholar 

  • E. Fermi. Zeitschrift für Physik 48: 73, 1928.

    Article  Google Scholar 

  • A. I. Fet. The System of Elements from the Group-Theoretic Viewpoint, Preprint 1, Institute of Inorganic Chemistry, Novosibirsk, 1979.

    Google Scholar 

  • A. I. Fet. In Group Theoretical Methods in Physics, Proceedings of International Symposium, vol. 1. Nauka, Moscow, pp. 327-336, 1980.

    Google Scholar 

  • V. Fock. Zeitschrift für Physik 61: 126-148, 1930.

    Article  Google Scholar 

  • V. Fock. Zeitschrift für Physik 98: 145-154, 1935.

    Article  Google Scholar 

  • V. Fock. Uspekhi Fizicheskikh Nauk 16: 1070-1083, 1936 (in Russian).

    Google Scholar 

  • V. Fock. Principal Role of Approximate Methods in Physics. In “Filosofskie Voprosy Fiziki” [In Russian: “Philosophic Problems in Physics”], Leningrad State University Publishing House, pp. 3-7, 1974.

  • A. Franceschetti and A. Zunger. Europhysics Letters 50: 243-249, 2000.

    Article  Google Scholar 

  • P. Gombas. Die Statistische Theorie des Atoms und ihre Anwendungen, Springer, Vienna, 1949.

    Google Scholar 

  • M. Göppert-Mayer. Physical Review 60: 184-187, 1941.

    Article  Google Scholar 

  • S. A. Goudsmith and P. I. Richards. Proceedings of National Academy of Science USA 51: 664-671, 1964.

    Article  Google Scholar 

  • R. Hakala. Journal of Physical Chemistry 56: 178-181, 1952.

    Article  Google Scholar 

  • D. R. Hartree. The Calculation of Atomic Structure. Wiley, New York, NY, 1957.

    Google Scholar 

  • R. Hefferlin, R. Campbell and H. Kuhlman. Journal of Quantitative Spectroscopy and Radiation Transfer 21: 315-336, 1979a.

    Article  Google Scholar 

  • R. Hefferlin, R. Campbell and H. Kuhlman. Journal of Quantitative Spectroscopy and Radiation Transfer 21: 337-354, 1979b.

    Article  Google Scholar 

  • R. Hefferlin and H. Kuhlman. Journal of Quantitative Spectroscopy and Radiation Transfer 24: 379-383, 1980.

    Article  Google Scholar 

  • R. Hefferlin and M. Kutzner. Journal of Chemical Physics 75: 1035-1036, 1981.

    Article  Google Scholar 

  • R. A. Hefferlin, G. V. Zhuvikin, K. E. Caviness and P. J. Duerksen. Journal of Quantitative Spectroscopy and Radiation Transfer 32: 257-268, 1984.

    Article  Google Scholar 

  • F. Herman and S. Skillman. Atomic Structure Calculations. Prentice-Hall, New York, NY, 1963.

    Google Scholar 

  • J. F. Janak. Physical Review B 18: 7165-7168, 1978.

    Article  Google Scholar 

  • V. Kaldor. Chemical Physics Letters 49: 384-385, 1977.

    Article  Google Scholar 

  • V. Karapetoff. Journal of Franklin Institute 210: 609-614, 1930.

    Article  Google Scholar 

  • S. M. Karlson, R. J. Cavanaugh, R. A. Hefferlin and G. V. Zhuvikin. In A. Arima, T. Eguchi and N. Nakamishi (Eds.), Group Theoretical Methods in Physics. World Scientific, Singapore, pp. 211-214, 1995.

    Google Scholar 

  • J. Katriel and C. K. Jorgensen. Chemical Physics Letters 87: 315-319, 1982.

    Article  Google Scholar 

  • M. E. Kellman. Annual Review of Physical Chemistry 46: 395-421, 1995.

    Article  Google Scholar 

  • M. E. Kellman. Proceedings of National Academy of Science USA 93: 14287-14294, 1996.

    Article  Google Scholar 

  • M. E. Kellman. International Journal of Quantum Chemistry 65: 399-409, 1997.

    Article  Google Scholar 

  • Y. Kitagawara and A. O. Barut. Journal of Physics B 16: 3305-3327, 1983.

    Article  Google Scholar 

  • Y. Kitagawara and A. O. Barut. Journal of Physics B 17: 4251-4259, 1984.

    Article  Google Scholar 

  • V. M. Klechkovskii. Doklady Akademii Nauk 80: 603, 1951.

    Google Scholar 

  • V. M. Klechkovskii. Doklady Akademii Nauk 83: 411, 1952a.

    Google Scholar 

  • V. M. Klechkovskii. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 26: 760, 1952b.

    Google Scholar 

  • V. M. Klechkovskii. Doklady Akademii Nauk 86: 691-694, 1952c.

    Google Scholar 

  • V. M. Klechkovskii. Doklady Akademii Nauk 92: 923, 1953a.

    Google Scholar 

  • V. M. Klechkovskii. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 25: 179-87, 1953b.

    Google Scholar 

  • V. M. Klechkovskii. Doklady Akademii Nauk 95: 1173, 1954.

    Google Scholar 

  • V. M. Klechkovskii. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 30: 199-201, 1956 [Soviet Physics — Journal of Experimental and Theoretical Physics 3: 125-127, 1956].

    Google Scholar 

  • V. M. Klechkovskii. Doklady Akademii Nauk 135: 655, 1960.

    Google Scholar 

  • V. M. Klechkovskii. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 41: 465-466, 1961 [Soviet Physics — Journal of Experimental and Theoretical Physics 14: 334—355, 1962].

    Google Scholar 

  • V. M. Klechkovskii. Optika i Spektroskopiya 12: 434, 1962 [Optics & Spectroscopy 12: 238, 1962].

    Google Scholar 

  • V. M. Klechkovskii. Optika i Spektroskopiya 19: 441, 1965 [Optics & Spectroscopy 19: 245, 1965].

    Google Scholar 

  • V. M. Klechkovskii. Raspredelenie Atomnyh Elektronov i Pravilo Posledovatel'nogo Zapolnenya (n + l)-Grupp [In Russian: The Distribution of Atomic Electrons and the Rule of Successive Filling of (n + l)-Groups], Atomizdat, Moscow, 1968.

    Google Scholar 

  • B. G. Konopel'chenko. Gruppa SO(2,4) + R i Tablitza Mendeleeva [In Russian: SO(2,4) + R Group and Mendeleev Table], Preprint IYaF 40-72, Institute of Nuclear Physics, Novosibirsk, 1972.

    Google Scholar 

  • B. G. Konopel'chenko and Yu. B. Rumer. Uspekhi Fizicheskikh Nauk 129: 339-345 1979 [Soviet Physics — Uspekhi 22: 837-840, 1979].

    Google Scholar 

  • L. D. Landau and E. M. Lifshits. Quantum Mechanics: Non-Relativistic Theory. Pergamon, Oxford, 1977.

    Google Scholar 

  • R. Latter. Physical Review 99: 510-519, 1955.

    Article  Google Scholar 

  • R. Lermé, Ch. Bordas, M. Pellarin, B. Baguenard, J. L. Vialle and M. Broyer. Physical Review B 48: 9028-9044, 1993.

    Article  Google Scholar 

  • R. Lermé, Ch. Boardas, M. Pellarin, B. Baguenard, J. L. Vialle and M. Broyer. Physical Review B 48: 12110-12122, 1993.

    Article  Google Scholar 

  • P. O. Löwdin. International Journal of Quantum Chemistry (Symposium) IIIS: 331-334, 1969.

    Google Scholar 

  • E. Madelung. Die Mathematischen Hilfsmittel des Physikers, 3rd edition. Springer, Berlin, p. 359, 1936 [6th edition, Berlin, 1950, p. 611].

    Google Scholar 

  • T. P. Martin, T. Bergmann, H. Göhlich and T. Lange. Chemical Physics Letters 172: 209-213, 1990.

    Article  Google Scholar 

  • T. P. Martin, T. Bergmann, H. Göhlich and T. Lange. Journal of Physical Chemistry 95: 6421-6429, 1991a.

    Article  Google Scholar 

  • T. P. Martin, T. Bergmann, H. Göhlich and T. Lange. Zeitschrift für Physik D 19: 25-29, 1991b.

    Article  Google Scholar 

  • J. C. Maxwell. The Scientific Papers. Dover, New York, NY, pp. 74-79, 1952.

    Google Scholar 

  • M. P. Melrose and E. R. Scerri. Journal of Chemical Education 73: 498-503, 1996.

    Google Scholar 

  • T. Négadi and M. Kibler. Journal of Physics A 25: L157-160, 1992.

    Article  Google Scholar 

  • D. Neubert. Zeitschrift für Natursforschung 25a: 210-217, 1970.

    Google Scholar 

  • O. Novaro. International Journal of Quantum Chemistry (Symposium) No. 7: 53-56, 1973.

    Article  Google Scholar 

  • O. Novaro. Journal of Molecular Structure (TEOCHEM) 199: 103-118, 1989.

    Article  Google Scholar 

  • O. Novaro and M. Berrondo. Journal of Physics B 5: 1104-1110, 1972.

    Article  Google Scholar 

  • O. Novaro and K. B. Wolf. Revista Mexicana de Fisica 20: 265-268, 1971.

    Google Scholar 

  • H. Odabasi. International Journal of Quantum Chemistry (Symposium) No. 7: 23-33, 1973.

    Article  Google Scholar 

  • V. N. Ostrovsky. Journal of Physics B 14: 4425-4439, 1981.

    Article  Google Scholar 

  • V. N. Ostrovsky. In O. Castaños, R. Lópes-Peña, Jorge G. Hirsch and K. B. Wolf (Eds.), Latin-American School of Physics XXX ELAF. AIP Conference Proceedings 365, pp. 191-216, 1996.

  • V. N. Ostrovsky. Physical Review A 56: 626-631, 1997.

    Article  Google Scholar 

  • C. S. G. Phillips and R. J. P. Williams. Inorganic Chemistry, Oxford University Press, Oxford, 1965, Chapters 18.4, 20.2, 30.2.

    Google Scholar 

  • D. Purdela. International Journal of Quantum Chemistry XXXIV: 107-119, 1988.

    Article  Google Scholar 

  • R. T. Powers. In M. Verde (Ed.), Atti dei Convegno Mendeleeviano, Academia delle Scienze di Torino, Torino, pp. 235-242, 1971.

    Google Scholar 

  • N. V. Prudov and V. N. Ostrovsky. Physical Review Letters 81: 285-288, 1998.

    Article  Google Scholar 

  • P. Pyykko. Chemical Reviews 88: 563-594, 1988.

    Article  Google Scholar 

  • T. B. Romanovskaya. Istoriya Kvantovo-Mekhanicheskoi Interpretatzii Periodichnosti [In Russian: History of Quantum Mechanical Interpretation of Periodicity], Nauka, Moscow, 1986.

    Google Scholar 

  • Yu. B. Rumer and A. I. Fet. Teoreticheskaya i Matematicheskaya Fizika 9: 203-210, 1971 [Theoretical and Mathematical Physics 9: 1081-1085, 1972].

    Google Scholar 

  • R. T. Sanderson. Journal of American Chemical Society 74: 4792-4792, 1952.

    Article  Google Scholar 

  • R. T. Sanderson. Chemical Periodicity. Reinhold Publishing Corporation, New York, NY, 1960, Chapter 2.

    Google Scholar 

  • E. R. Scerri. Journal of Chemical Education 66: 481-483, 1989.

    Google Scholar 

  • E. R. Scerri. British Journal for the Philosophy of Science 42: 309-325, 1991a.

    Google Scholar 

  • E. R. Scerri. Journal of Chemical Education 68: 122-126, 1991b.

    Google Scholar 

  • E. R. Scerri. Chemistry in Britian 30: 379-381, 1994a.

    Google Scholar 

  • E. R. Scerri. Annals of Science 51: 137-150, 1994b.

    Article  Google Scholar 

  • E. R. Scerri. In P. Janich and N. Psarros (Eds.), Die Sprache der Chemie, 2nd Erlenmeyer Colloquium on the Philosophy of Chemistry, Marburg University, Köningshausen & Neumann, Würtzburg, pp. 169-176, 1996.

  • E. R. Scerri. Erkenntnis 47: 229-243, 1997a.

    Article  Google Scholar 

  • E. R. Scerri. American Scientist 85: 546-553, 1997b.

    Google Scholar 

  • E. R. Scerri and L. McIntyre. Synthese 111: 213-232, 1997c.

    Article  Google Scholar 

  • E. R. Scerri. Periodicity, Chemical. In J. J. Lagowski (Ed.), MacMillan's Encyclopaedia of Chemistry, Vol. III. Macmillan Reference, New York, NY, pp. 22-32, 1998b.

    Google Scholar 

  • E. R. Scerri. Scientific American 279: 56-61, 1998a.

    Google Scholar 

  • E. R. Scerri, V. Kreinovich, P. Wojciechowski and R. R. Yager. International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems 6: 387-399, 1998b.

    Article  Google Scholar 

  • L. M. Simmons. Journal of Chemical Education 24: 588-591, 1947.

    Google Scholar 

  • L. M. Simmons. Journal of Chemical Education 25: 658-661, 1948.

    Article  Google Scholar 

  • J. C. Slater. Quantum Theory of Atomic Structure. McGraw Hill, New York, NY, 1960.

    Google Scholar 

  • J. D. M. Smith. Chemistry and Atomic Structure. Ernest Benn, Ltd, London, p. 126, 1924.

    Google Scholar 

  • R. M. Sternheimer. Physical Review A 15: 1817-1831, 1977a.

    Article  Google Scholar 

  • R. M. Sternheimer. Physical Review A 16: 459-474, 1977b.

    Article  Google Scholar 

  • R. M. Sternheimer. Physical Review A 16: 1752-1759, 1977c.

    Article  Google Scholar 

  • R. M. Sternheimer. Physical Review A 19: 474-485, 1979.

    Article  Google Scholar 

  • Yu. V. Tarbeev, N. N. Trunov, A. A. Lobashev and V. V. Kukhar'. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 112: 1226-1238, 1997 [Journal of Experimental and Theoretical Physics 85: 666-672, 1997].

    Google Scholar 

  • T. Tietz. Journal of Chemical Physics 22: 2094, 1954.

    Google Scholar 

  • T. Tietz. Annalen Physik 15: 186-188, 1955.

    Google Scholar 

  • J. A. Wheeler. In M. Verde (Ed.), Atti dei Convegno Mendeleeviano, Academia delle Scienze di Torino, Torino, pp. 189-233, 1971.

    Google Scholar 

  • J. A. Wheeler. In E. H. Lieb, B. Simon and A. S. Wightman (Eds.), Studies in Mathematical Physics, Princeton Series in Physics, Princeton University Press, Princeton, NJ, p. 351, 1976.

    Google Scholar 

  • W. J. Wiswesser. Journal of Chemical Education 22: 314, 1945.

    Google Scholar 

  • Yeou Ta. Annales de Physique (Paris) 1: 88-99, 1946.

    Google Scholar 

  • B. N. Zakhar'ev. Vroki Kvantovoi Intuitzii [In Russian: Lessons of Quantum Intuition], Joint Institute for Nuclear Research, Dubna, 1996.

    Google Scholar 

  • G. V. Zhuvikin and R. Hefferlin. Vestnik Leningradskogo Universiteta No. 16: 10-16, 1983 [in Russian].

    Google Scholar 

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    V. N. Ostrovsky

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Ostrovsky, V.N. What and How Physics Contributes to Understanding the Periodic Law. Foundations of Chemistry 3, 145–181 (2001). https://doi.org/10.1023/A:1011476405933

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