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.
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.
V. M. Bedanov and F. M. Peeters. Physical Review B 49: 2667-2676, 1994.
M. Berrondo and O. Novaro. Journal of Physics B 6: 761-769, 1973.
H. A. Bethe and P. Morrison. Elementary Nuclear Theory. John Wiley & Sons, New York, NY, 1956.
J. P. Birk. Period. In J. J. Lagowski (Ed.), MacMillan's Encyclopaedia of Chemistry, Vol. III. Macmillan Reference, New York, NY, p. 22, 1997.
E. V. Biron. Zhurnal Russkogo Fiziko-Khimicheskogo Obschestva, Chast' Khimicheskaya 47: 964-988, 1915.
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.
N. Bohr. Collected Works, vol. 4 (Periodic System (1920-1923)), edited by J. Rud Nielsen, North Holland, Amsterdam, 1977.
N. Bohr. Collected Works, vol. 10 (Complementary beyond Physics), edited by D. Favrholdt, Elsevier, Amsterdam, 1999.
N. Bohr. Zeitschrift für Physik 9: 1-67, 1922.
D. Bonastsos, N. Karoussos, P. P. Raychev, R. P. Roussev and P. A. Terziev. Chemical Physics Letters 302: 392-398, 1999.
D. Bonastsos, N. Karoussos, D. Lenis, P. P. Raychev, R. P. Roussev and P. A. Terziev. Physical Review A 62: 013203, 2000.
L. Bosi. Nuovo Cimento B 76: 89-96, 1983.
B. Carroll and A. Lehrman. Journal of Chemical Education 25: 662-666, 1942.
E. U. Condon and H. Odabasi. Atomic Structure. Cambridge University Press, Cambridge, 1980.
J. P. Connerade. Highly Excited Atoms. Cambridge University Press, Cambridge, 1998.
J. P. Connerade, V. K. Dolmatov and P. A. Lakshmi. Journal of Physics B 33: 251-264, 2000.
H. H. Dash. International Journal of Quantum Chemistry (Symposium) IIIS: 335-340, 1969.
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].
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].
Yu. N. Demkov and N. B. Berezina. Optika i Spektroskopiya 34: 814-845, 1973 [Opitcs & Spectroscopy 34: 485-487, 1973].
I. Exman, J. Katriel and R. Pauncz. Chemical Physics Letters 36: 161-165, 1975.
E. Fermi. Zeitschrift für Physik 48: 73, 1928.
A. I. Fet. The System of Elements from the Group-Theoretic Viewpoint, Preprint 1, Institute of Inorganic Chemistry, Novosibirsk, 1979.
A. I. Fet. In Group Theoretical Methods in Physics, Proceedings of International Symposium, vol. 1. Nauka, Moscow, pp. 327-336, 1980.
V. Fock. Zeitschrift für Physik 61: 126-148, 1930.
V. Fock. Zeitschrift für Physik 98: 145-154, 1935.
V. Fock. Uspekhi Fizicheskikh Nauk 16: 1070-1083, 1936 (in Russian).
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.
P. Gombas. Die Statistische Theorie des Atoms und ihre Anwendungen, Springer, Vienna, 1949.
M. Göppert-Mayer. Physical Review 60: 184-187, 1941.
S. A. Goudsmith and P. I. Richards. Proceedings of National Academy of Science USA 51: 664-671, 1964.
R. Hakala. Journal of Physical Chemistry 56: 178-181, 1952.
D. R. Hartree. The Calculation of Atomic Structure. Wiley, New York, NY, 1957.
R. Hefferlin, R. Campbell and H. Kuhlman. Journal of Quantitative Spectroscopy and Radiation Transfer 21: 315-336, 1979a.
R. Hefferlin, R. Campbell and H. Kuhlman. Journal of Quantitative Spectroscopy and Radiation Transfer 21: 337-354, 1979b.
R. Hefferlin and H. Kuhlman. Journal of Quantitative Spectroscopy and Radiation Transfer 24: 379-383, 1980.
R. Hefferlin and M. Kutzner. Journal of Chemical Physics 75: 1035-1036, 1981.
R. A. Hefferlin, G. V. Zhuvikin, K. E. Caviness and P. J. Duerksen. Journal of Quantitative Spectroscopy and Radiation Transfer 32: 257-268, 1984.
F. Herman and S. Skillman. Atomic Structure Calculations. Prentice-Hall, New York, NY, 1963.
J. F. Janak. Physical Review B 18: 7165-7168, 1978.
V. Kaldor. Chemical Physics Letters 49: 384-385, 1977.
V. Karapetoff. Journal of Franklin Institute 210: 609-614, 1930.
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.
J. Katriel and C. K. Jorgensen. Chemical Physics Letters 87: 315-319, 1982.
M. E. Kellman. Annual Review of Physical Chemistry 46: 395-421, 1995.
M. E. Kellman. Proceedings of National Academy of Science USA 93: 14287-14294, 1996.
M. E. Kellman. International Journal of Quantum Chemistry 65: 399-409, 1997.
Y. Kitagawara and A. O. Barut. Journal of Physics B 16: 3305-3327, 1983.
Y. Kitagawara and A. O. Barut. Journal of Physics B 17: 4251-4259, 1984.
V. M. Klechkovskii. Doklady Akademii Nauk 80: 603, 1951.
V. M. Klechkovskii. Doklady Akademii Nauk 83: 411, 1952a.
V. M. Klechkovskii. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 26: 760, 1952b.
V. M. Klechkovskii. Doklady Akademii Nauk 86: 691-694, 1952c.
V. M. Klechkovskii. Doklady Akademii Nauk 92: 923, 1953a.
V. M. Klechkovskii. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 25: 179-87, 1953b.
V. M. Klechkovskii. Doklady Akademii Nauk 95: 1173, 1954.
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].
V. M. Klechkovskii. Doklady Akademii Nauk 135: 655, 1960.
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].
V. M. Klechkovskii. Optika i Spektroskopiya 12: 434, 1962 [Optics & Spectroscopy 12: 238, 1962].
V. M. Klechkovskii. Optika i Spektroskopiya 19: 441, 1965 [Optics & Spectroscopy 19: 245, 1965].
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.
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.
B. G. Konopel'chenko and Yu. B. Rumer. Uspekhi Fizicheskikh Nauk 129: 339-345 1979 [Soviet Physics — Uspekhi 22: 837-840, 1979].
L. D. Landau and E. M. Lifshits. Quantum Mechanics: Non-Relativistic Theory. Pergamon, Oxford, 1977.
R. Latter. Physical Review 99: 510-519, 1955.
R. Lermé, Ch. Bordas, M. Pellarin, B. Baguenard, J. L. Vialle and M. Broyer. Physical Review B 48: 9028-9044, 1993.
R. Lermé, Ch. Boardas, M. Pellarin, B. Baguenard, J. L. Vialle and M. Broyer. Physical Review B 48: 12110-12122, 1993.
P. O. Löwdin. International Journal of Quantum Chemistry (Symposium) IIIS: 331-334, 1969.
E. Madelung. Die Mathematischen Hilfsmittel des Physikers, 3rd edition. Springer, Berlin, p. 359, 1936 [6th edition, Berlin, 1950, p. 611].
T. P. Martin, T. Bergmann, H. Göhlich and T. Lange. Chemical Physics Letters 172: 209-213, 1990.
T. P. Martin, T. Bergmann, H. Göhlich and T. Lange. Journal of Physical Chemistry 95: 6421-6429, 1991a.
T. P. Martin, T. Bergmann, H. Göhlich and T. Lange. Zeitschrift für Physik D 19: 25-29, 1991b.
J. C. Maxwell. The Scientific Papers. Dover, New York, NY, pp. 74-79, 1952.
M. P. Melrose and E. R. Scerri. Journal of Chemical Education 73: 498-503, 1996.
T. Négadi and M. Kibler. Journal of Physics A 25: L157-160, 1992.
D. Neubert. Zeitschrift für Natursforschung 25a: 210-217, 1970.
O. Novaro. International Journal of Quantum Chemistry (Symposium) No. 7: 53-56, 1973.
O. Novaro. Journal of Molecular Structure (TEOCHEM) 199: 103-118, 1989.
O. Novaro and M. Berrondo. Journal of Physics B 5: 1104-1110, 1972.
O. Novaro and K. B. Wolf. Revista Mexicana de Fisica 20: 265-268, 1971.
H. Odabasi. International Journal of Quantum Chemistry (Symposium) No. 7: 23-33, 1973.
V. N. Ostrovsky. Journal of Physics B 14: 4425-4439, 1981.
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.
C. S. G. Phillips and R. J. P. Williams. Inorganic Chemistry, Oxford University Press, Oxford, 1965, Chapters 18.4, 20.2, 30.2.
D. Purdela. International Journal of Quantum Chemistry XXXIV: 107-119, 1988.
R. T. Powers. In M. Verde (Ed.), Atti dei Convegno Mendeleeviano, Academia delle Scienze di Torino, Torino, pp. 235-242, 1971.
N. V. Prudov and V. N. Ostrovsky. Physical Review Letters 81: 285-288, 1998.
P. Pyykko. Chemical Reviews 88: 563-594, 1988.
T. B. Romanovskaya. Istoriya Kvantovo-Mekhanicheskoi Interpretatzii Periodichnosti [In Russian: History of Quantum Mechanical Interpretation of Periodicity], Nauka, Moscow, 1986.
Yu. B. Rumer and A. I. Fet. Teoreticheskaya i Matematicheskaya Fizika 9: 203-210, 1971 [Theoretical and Mathematical Physics 9: 1081-1085, 1972].
R. T. Sanderson. Journal of American Chemical Society 74: 4792-4792, 1952.
R. T. Sanderson. Chemical Periodicity. Reinhold Publishing Corporation, New York, NY, 1960, Chapter 2.
E. R. Scerri. Journal of Chemical Education 66: 481-483, 1989.
E. R. Scerri. British Journal for the Philosophy of Science 42: 309-325, 1991a.
E. R. Scerri. Journal of Chemical Education 68: 122-126, 1991b.
E. R. Scerri. Chemistry in Britian 30: 379-381, 1994a.
E. R. Scerri. Annals of Science 51: 137-150, 1994b.
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.
E. R. Scerri. American Scientist 85: 546-553, 1997b.
E. R. Scerri and L. McIntyre. Synthese 111: 213-232, 1997c.
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.
E. R. Scerri. Scientific American 279: 56-61, 1998a.
E. R. Scerri, V. Kreinovich, P. Wojciechowski and R. R. Yager. International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems 6: 387-399, 1998b.
L. M. Simmons. Journal of Chemical Education 24: 588-591, 1947.
L. M. Simmons. Journal of Chemical Education 25: 658-661, 1948.
J. C. Slater. Quantum Theory of Atomic Structure. McGraw Hill, New York, NY, 1960.
J. D. M. Smith. Chemistry and Atomic Structure. Ernest Benn, Ltd, London, p. 126, 1924.
R. M. Sternheimer. Physical Review A 15: 1817-1831, 1977a.
R. M. Sternheimer. Physical Review A 16: 459-474, 1977b.
R. M. Sternheimer. Physical Review A 16: 1752-1759, 1977c.
R. M. Sternheimer. Physical Review A 19: 474-485, 1979.
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].
T. Tietz. Journal of Chemical Physics 22: 2094, 1954.
T. Tietz. Annalen Physik 15: 186-188, 1955.
J. A. Wheeler. In M. Verde (Ed.), Atti dei Convegno Mendeleeviano, Academia delle Scienze di Torino, Torino, pp. 189-233, 1971.
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.
W. J. Wiswesser. Journal of Chemical Education 22: 314, 1945.
Yeou Ta. Annales de Physique (Paris) 1: 88-99, 1946.
B. N. Zakhar'ev. Vroki Kvantovoi Intuitzii [In Russian: Lessons of Quantum Intuition], Joint Institute for Nuclear Research, Dubna, 1996.
G. V. Zhuvikin and R. Hefferlin. Vestnik Leningradskogo Universiteta No. 16: 10-16, 1983 [in Russian].
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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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DOI: https://doi.org/10.1023/A:1011476405933