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Foundations of Chemistry

, Volume 18, Issue 2, pp 153–173 | Cite as

Spiral as the fundamental graphic representation of the Periodic Law. Blocks of elements as the autonomic parts of the Periodic System

  • Naum S. ImyanitovEmail author
Article

Abstract

The spiral form of the Periodic Law is proposed as its fundamental graphic representation. This idea is based on the fact that the spiral is the most appropriate form in description transitions from simple to complicated (advancement, evolution). The spiral is easily obtained from the linear succession of the elements when they are ranged by growing nuclear charge. The spiral can be simply transformed (by compression, bending, cutting) into many other graphic representations, including tables. This paper suggests the conception of the autonomy of blocks. This autonomy is clearly seen in the variation of the outer electronic shells, in the width and the height of the blocks, as well as the number and properties of elements included therein. The regularities in the changes of element properties are pronounced in certain blocks but actually absent in others. The blocks can be permuted to obtain full-fledged versions of Periodic Table. The new stage of the verification of the blocks autonomy is the use of the total number of the differentiating electrons (s electrons in the atom of s block, p electrons in p block, etc.) as an independent variable in describing the properties of the elements and their compounds. Consideration of individual blocks made it possible to deduce the periodic equations valid for all the elements within each block. Formulation of the Periodic Law is advanced: while describing characteristic determining the properties of the elements, the nuclear charge is replaced by the total number of differentiating electrons. Two modifications of the conventional Periodic Table are obtained by minimal changes. The first one shows the secondary and the additional periodicites. Another table shows the total number of differentiating electrons for each element.

Keywords

Periodic System Blocks of elements Differentiating electrons Graphic representation of evolution Periodic equation 

References

  1. Bent, H.: New Ideas in Chemistry from Fresh Energy for the Periodic Law. AuthorHouse, Bloomington (2006)Google Scholar
  2. Chistyakov, V.M.: “Secondary Periodicity of Biron” in secondary d-subgroups of the short periodic table. Zh. Obshch. Khim. 38, 209–210 (1968) (in Russian)Google Scholar
  3. Emsley, J.: Nature’s Building Blocks: An A–Z Guide to the Elements. Oxford Univ. Press, Oxford (2003)Google Scholar
  4. Filippov, G.G., Gorbunov, A.I.: Four “correct” forms of the periodic system of elements. Zh. Fiz. Khim. 67, 1809–1812 (1993) (in Russian)Google Scholar
  5. Habashi, F.: Metals: typical and less typical, transition and inner transition. Found. Chem. 12, 31–39 (2010)CrossRefGoogle Scholar
  6. Heyes, S.J.: Which Elements Are d-Block or f-Block? http://www.chem.ox.ac.uk/icl/heyes/lanthact/I5.html, http://www.radiochemistry.org/periodictable/la_series/I5.html (1997–8). Accessed 17 Nov 2012
  7. Hund, F.: Linienspektren und periodisches System der Elemente. Springer, Berlin (1927)CrossRefGoogle Scholar
  8. Imyanitov, N.S.: Mathematical description of dialectic regular trends in the periodic system. Russ. J. Gen. Chem. 69, 509–517 (1999a)Google Scholar
  9. Imyanitov, N.S.: Equations of new type for the description and simple calculation of electronic parameters of the neutral ligands of ElRn type. Russ. J. Coord. Chem. 25, 293–299 (1999b)Google Scholar
  10. Imyanitov, N.S.: Dialectic functions for description and prediction of proton affinity and basicity in gas phase. Russ. J. Org. Chem. 37, 1196–1204 (2001a)CrossRefGoogle Scholar
  11. Imyanitov, N.S.: Inductive effects of ligands or substituents based on any of the sp-elements. Russ. J. Coord. Chem. 27, 823–829 (2001b)CrossRefGoogle Scholar
  12. Imyanitov, N.S.: Modification of various functions for description of periodic dependences. Russ. J. Coord. Chem. 29, 46–52 (2003a)CrossRefGoogle Scholar
  13. Imyanitov, N.S.: Along the “stairs of sciences” to art. Filosofiya nauki 4(19), 3–17 (2003b) (in Russian) http://filosofia.ru/70523/. Accessed 19 Nov 2012
  14. Imyanitov, N.S.: Repetitions at evolution. Filosofiya i obshchestvo 3, 78–102 (2009) (in Russian). http://filosofia.ru/76586/ Accessed 19 Nov 2012
  15. Imyanitov, N.S.: New basis for describing periodicity. Russ. J. Gen. Chem. 80, 65–68 (2010)CrossRefGoogle Scholar
  16. Imyanitov, N.S.: Application of a new formulation of the periodic law to predicting the proton affinity of elements. Russ. J. Inorg. Chem. 56, 745–748 (2011a)CrossRefGoogle Scholar
  17. Imyanitov, N.S.: The periodic law. Formulations, equations, graphic representations. Russ. J. Inorg. Chem. 56, 2183–2200 (2011b)CrossRefGoogle Scholar
  18. Imyanitov, N.S.: Adequacy of new formulation of the Periodic Law at variations in composition and location of blocks and periods. Found. Chem. 16, 235–247 (2014)CrossRefGoogle Scholar
  19. Jensen, W.B.: The positions of lanthanum (actinium) and lutetium (lawrencium) in the periodic table. J. Chem. Educ. 59, 634–636 (1982)CrossRefGoogle Scholar
  20. Jensen, W.B.: Classification, symmetry and the periodic table. Comput. Math Appl. 12B, 487–510 (1986)CrossRefGoogle Scholar
  21. Jensen, W.B.: The place of zinc, cadmium, and mercury in the periodic table. J. Chem. Educ. 80, 952–961 (2003)CrossRefGoogle Scholar
  22. Jensen, W.B.: The Origin of the s, p, d, f Orbital Labels. J. Chem. Educ. 84, 757–758 (2007)CrossRefGoogle Scholar
  23. Jensen, W.B.: Misapplying the Periodic Law. J. Chem. Educ. 86, 1186 (2009)CrossRefGoogle Scholar
  24. Jensen, W.B.: The positions of lanthanum (actinium) and lutetium (lawrencium) in the periodic table: un update. Found. Chem. 17, 23–31 (2015)Google Scholar
  25. Kedrov, M.: Mendeleev forms of the periodic system of elements 1869-1871. In: 100 let periodicheskogo zakona khimicheskikh elementov. X yubilejnyj Mendeleevskij s’ezd. Nauka, Moscow (1969) (in Russian)Google Scholar
  26. Korableva, T.P., Korol’kov, D.V.: Theory of the Periodic System. Izd-vo SPbU, St. Petersburg (2005) (in Russian) Google Scholar
  27. Lavelle, L.: Lanthanum (La) and actinium (Ac) should remain in the d-block. J. Chem. Educ. 85, 1482–1483 (2008)CrossRefGoogle Scholar
  28. Lavelle, L.: Response to “Misapplying the Periodic Law”. J. Chem. Educ. 86, 1187 (2009)CrossRefGoogle Scholar
  29. Longman’s Mural from Festival of Britain: The Chemogenesis web book, The INTERNET Database of Periodic Tables. Curator: M.R. Leach (1951). http://www.meta-synthesis.com/webbook/35_pt/pt_database.php?PT_id=24. Accessed 17 Nov 2012
  30. Luchinskii, G.P., Trifonov, D.N.: Some problems of chemical elements classification and the structure of the periodic system. In: Uchenie o periodichnosti. Istoriya i sovremennoct’. Nauka, Moscow pp 200–220 (1981) (in Russian)Google Scholar
  31. Mazurs, E.G.: Graphic Representations of the Periodic System During One Hundred Years, 2nd edn. Univ. Alabama Press, Tuscaloosa (1974)Google Scholar
  32. Nelson, P.G.: Periodicity in the formulae of carbonys and the electronic basis of the Periodic Table. Found. Chem. 15, 199–208 (2013)CrossRefGoogle Scholar
  33. Pyykkö, P.: A suggested periodic table up to Z r 172, based on Dirac-Fock calculations on atoms and ions. Phys. Chem. Chem. Phys. 13, 161–168 (2011)CrossRefGoogle Scholar
  34. Rouvray, D.H., King, R.B. (eds.): Periodic Table: Into the 21st Century Research. Studies Press, Baldock (2004)Google Scholar
  35. Sabo, Z.G.: Periodic table and periodic functions. In: 100 let periodicheskogo zakona khimicheskikh elementov. X yubilejnyj Mendeleevskij s’ezd. Nauka, Moscow (1969) (in Russian)Google Scholar
  36. Scerri, E.: Bayley–Thomsen–Bohr Periodic Table. The Chemogenesis web book, The INTERNET Database of Periodic Tables. Curator: M.R. Leach (1997a). http://www.meta-synthesis.com/webbook/35_pt/pt_database.php. Accessed 02 Nov 2012
  37. Scerri, E.: The periodic table and the electron. Am. Sci. 85, 546–553 (1997b)Google Scholar
  38. Scerri, E.R.: Editorial 21. Found. Chem. 7, 199–202 (2005)CrossRefGoogle Scholar
  39. Scerri, E.R.: The Periodic Table: Its Story and Its Significance. Oxford University Press, New York (2007)Google Scholar
  40. Scerri, E.: The role of triads in the evolution of the periodic table: past and present. J. Chem. Educ. 85, 585–589 (2008)CrossRefGoogle Scholar
  41. Scerri, E.R.: A Very Short Introduction to the Periodic Table. Oxford University Press, Oxford (2011a)CrossRefGoogle Scholar
  42. Scerri, E.R.: A review of research on the history and philosophy of the periodic table Una revisión de investigaciones sobre la historia y la filosofía de la tabla periódica. J. Sci. Educ. 12, 4–7 (2011b)Google Scholar
  43. Scerri, E.: Mendeleev’s periodic table is finally completed and what to do about group 3? Chem. Int. 28–31 July–August (2012)Google Scholar
  44. Shchukarev, S.A.: Neorganicheskaya khimiya, vol. 2. Vysshaya Shkola, Moscow (1974). (in Russian) Google Scholar
  45. Shchukarev, S.A.: New views of D.I. Mendeleev’s system. I. Periodicity of the stratigraphy of atomic electronic shells in the system, and the concept of kainosymmetry. Zh. Obshch. Khim. 47, 246–259 (1977)Google Scholar
  46. Schwarz, W.H.E., Rich, R.L.: Theoretical basis and correct explanation of the periodic system: review and update. J. Chem. Educ. 87, 435–443 (2010)CrossRefGoogle Scholar
  47. Sneed, M.C., Maynard, J.L.: General College Chemistry, 7th print. Van Nostrand-Reinhold, New York (1944)Google Scholar
  48. Spiral & Helical Periodic Tables: The Chemogenesis web book, The INTERNET Database of Periodic Tables. Curator: M.R. Leach. http://www.meta-synthesis.com/webbook/35_pt/pt_database.php?PT_id=24 (1862–2015). Accessed 20 Nov 2012
  49. Stewart, P.J.: A century on from Dmitrii Mendeleev: tables and spirals, noble gases and Nobel prizes. Found. Chem. 9, 235–245 (2007)CrossRefGoogle Scholar
  50. Szabo, Z.G., Lakatos, B.: On the melting points of transition metals. Naturwiss 39, 486–487 (1952)CrossRefGoogle Scholar
  51. Szabo, Z.G., Lakatos, B.: The new form of the periodic table and new periodic functions. Acta Chim. Hung. 4, 138–147 (1954)Google Scholar
  52. van Spronsen, J.W.: The Periodic System of the Chemical Elements. The First One Hundred Years. Elsevier, Amsterdam (1969)Google Scholar
  53. Wang, S.-G., Schwarz, W.H.E.: Icon of chemistry: the periodic system of chemical elements in the new century. Angew. Chem. Int. Ed. 48, 3404–3415 (2009)CrossRefGoogle Scholar
  54. Williams, H.L.: Hegel, Heraclitus and Marx’s Dialectic. Harvester Wheatsheaf, New York (1989)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.S.V. Lebedev Research Institute for Synthetic RuberFederal State Unitary EnterpriseSt. PetersburgRussia

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