2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 8: Composite & Ceramic, Quasi-crystals and Nanomaterials

Editors:Kongoli F, Pech-Canul M, Kalemtas A, Werheit H
Publisher:Flogen Star OUTREACH
Publication Year:2015
Pages:300 pages
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    Structural Insights at the Atomic Level of Important Materials: Al And Mn As Special Examples In Honor Of D. Shechtman

    Raji Heyrovska1;
    1PRIVATE RESEARCH SCIENTIST, Praha, Czech Republic;
    Type of Paper: Keynote
    Id Paper: 308
    Topic: 8


    A basic insight into the atomic structures of some important alloy forming elements, like magnesium, aluminum, titanium, niobium etc will be presented in terms of their covalent radii, Bohr radii, nuclear and electron radii and their relation to the Golden ratio, using the data provided earlier for the elements of the Periodic Table. It is interesting to point out that for the elements of Group A: Rb (1.72, 2.79), Cs (1.85, 3.02), Mg (0.94, 1.60), Ca (1.18, 1.98), Sr (1.26, 2.15), Al (1.20, 2.02), P (0.69, 1.11), As (0.74, 1.25), He (0.29, 0.46) and Group B: Pd (0.86, 1.38), where the 1st and 2nd terms in the parenthesis are their Bohr radii, a(B) (from 1st ionization potentials) and covalent radii R(cov) in A…, respectively, the ratio, R(cov)/a(B) is close to the Golden ratio (1.62). These and other relations, it is hoped, will provide deeper insights into the understanding of the bonding and alloy formation of different materials and help in designing materials depending on their intended purpose.


    Alloys; Atomic; Bohr; Calcium; Electrons; Magnesium; Quasi-crystals; Ratio;


    [1] R. Heyrovska. The Golden Ratio, Ionic and Atomic Radii and Bond Lengths, Special Issue of Molecular Physics, 103 (2005) 877 - 882; and the literature therein.
    [2] L. Pauling, The Nature of the Chemical Bond, 1960, Cornell Univ. Press, N.Y.
    [3] R. Heyrovska. The Golden Ratio, Atomic, Ionic and Molecular Capacities and Bonding Distances in Hydrides. 2004 International Joint meeting of ECS, USA and Japanese, Korean and Australian Societies, Honolulu, Hawaii, October 2004, Vol. 2004 - 2, Extd. Abs. C2-0551. http://www.electrochem.org/dl/ma/206/pdfs/0551.pdf
    [4] R. Heyrovska. Exploring the atomic properties using ionization potential and Golden ratio. 5th Workshop of Physical Chemists and Electrochemists, 8 Feb. 2005. Natural Sci. Faculty , Masaryk Univ., Brno. Prac. Setkání Fyz. Chem. Electrochem. 5, 1-87, (2005). http://old.mendelu.cz/~kizek/konference.htm http://cheminfo.chemi.muni.cz/ktfch/Setkani05/Sbornik2005.pdf
    [5] R. Heyrovska and S. Narayan. Fine Structure Constant, Anomalous Magnetic Moment, Relativity Factor and the Golden Ratio that Divides the Bohr Radius
    arXiv:physics/0509207 [pdf]
    [6] R. Heyrovska. Dependence of Ion-water Distances on Covalent Radii, Ionic Radii in Water and Distances of Oxygen and Hydrogen of Water from Ion/water Boundaries, Chemical Physics Letters, 429 (2006) 600 - 605.
    [7] R. Heyrovska. Dependence of the Length of the Hydrogen Bond on the Covalent and Cationic Radii of Hydrogen, and Additivity of Bonding Distances. Chemical Physics Letters, 432 (2006) 348 - 351.
    [8] R. Heyrovska. Dependences of Molar Volumes in Solids, Partial Molal and Hydrated Ionic Volumes of Alkali Halides on Covalent and Ionic Radii and the Golden Ratio. Chemical Physics Letters, 436 (2007) 287 - 293.
    [9] R. Heyrovska and S. Narayan. Atomic Structures of Molecules Based on Additivity of Atomic and/or Ionic Radii. AIP Conference Proceedings 1119 (2009) 216; Editor(s): Beverly Karplus Hartline, Renee K. Horton, Catherine M. Kaicher.3rd IUPAP International Conference on Women In Physics 2008, Seoul, South Korea, 7th -10th of October, 2008; Also in: Nature Precedings. http://precedings.nature.com/documents/3292/version/1
    [10] R. Heyrovska. Direct dependence of covalent, van der Waals and valence shell radii of atoms on their Bohr radii for elements of Groups 1A - 8A. 10th Eurasia Conference on Chemical Sciences, Manila, Phillipines, 7 - 11 January 2008, Ohtaki Memorial Lecture: Philippine Journal of Science, 137 (2): 133-139, December 2008. Also in: http://arxiv.org/ftp/arxiv/papers/0708/0708.1108.pdf (v1) and (v2)
    [11] R. Heyrovska. Various Carbon to Carbon Bond Lengths Inter-related via the Golden Ratio, and their Linear Dependence on Bond Energies. arXiv:0809.1957 [pdf]
    [12] R. Heyrovska. The Golden ratio in the Creations of Nature Arises in the Architecture of Atoms and Ions. Proceedings of the 9th Eurasia Conference on Chemical Sciences, Antalya, Turkey, Sept. 2006. Chapter 12 in Book: "Innovations in Chemical Biology", Editor: Bilge Sener, Springer.com, January 2009.
    [13] R. Heyrovska. Golden Sections of Interatomic Distances as Exact Ionic Radii and Additivity of Atomic and Ionic Radii in Chemical Bonds. arXiv:0902.1184 [pdf]
    R. Heyrovska. Golden Sections of Inter-atomic Distances as Exact Ionic Radii of Atoms. Dedicated to Sir Michael Atiyah's 80th Birthday. Nature Precedings. http://precedings.nature.com/documents/2929/version/1
    [15] 15. R. Heyrovska, L. Atchison and S. Narayan. Precise Atomic Structures of Three Novel Nanomaterials in Nanotechnology, Biomedicine and Cosmology: Graphene, Boron Nitride and Coronene. The Nanomaterials Symposium, April 19, 2010, JHU/APL Kossiakoff Center, MD, (Poster). Nature Precedings. http://precedings.nature.com/documents/4357/version/1 (and the literature therein).
    [16] R. Heyrovska. Structures at the Atomic Level of Cobalt, Zinc and Lead Niobates (with an Appendix: Atomic structure of cobalt niobate crystal). Nature Precedings. http://hdl.handle.net/10101/npre.2011.6059.2
    [17] R. Heyrovska and S. Narayan. Structures of molecules at the atomic level: Caffeine and related compounds, Philippine J. of Science, 140(2): 119-124, 2011.
    [18] R. Heyrovska. Atomic and Ionic Radii of Elements and Bohr Radii from Ionization Potentials are Linked Through the Golden Ratio. International J. Sciences., Vol 2, 82-92, Issue-Mar-2013.
    [19] R. Heyrovska. Bond lengths, Bond angles and Bohr Radii from Ionization Potentials Related via the Golden Ratio for H2+, O2, O3, H2O, SO2, NO2 and CO2. International J. Sciences., Vol 2, 1-4, Issue-Apr-2013.
    [20] R. Heyrovska. Atomic, Ionic and Bohr Radii Linked via the Golden Ratio for Elements Including Lanthanides and Actinides. International J. Sciences., Vol 2, 63-68, Issue-Apr-2013.
    [21] R. Heyrovska. Atomic, ionic and Bohr radii linked via the golden ratio for the elements in DNA: C, N, O, P and H. "XIII. Meeting of physical chemists and electrochemists "and" VII. Electrochemical Summer School", Mendel University, Brno, May 2013. Theme: "60 years DNA: 1953 - 2013 " http://web2.mendelu.cz/af_239_nanotech/pracovni-setkani/program.html
    [22] R. Heyrovska. Golden Ratio Based Fine Structure Constant and Rydberg Constant for Hydrogen Spectra. International J. Sci., Vol 2, 28-31, Issue-May-2013.
    [23] R. Heyrovska. Bond Lengths in Carbon Dioxide, Carbon Monoxide and Carbonic Acid as Sums of Atomic, Ionic and Bohr Radii. - Dedicated to Joseph Black (April 1728 - December 1799). International J. Sciences., Vol 2, 30-32, Issue-Dec-2013.
    [24] R. Heyrovska. The Golden Ratio In Atomic Architecture (Keynote talk)
    "Shechtman International Symp., Cancun, Mexico, June/July 2014". http://www.flogen.org/ShechtmanSymposium/plenary_abst.php?page=2&p=Raji_Heyrovska&e=rheyrovs@hotmail.com&pi=124 (Full paper).
    [25] R. Heyrovska. Bond Lengths as Exact Sums of the Radii of Adjacent Atoms and or Ions in the Structures of Molecules (Lead Lecture). 13th Eurasia Conference on Chemical Sciences, 14-18 December, 2014, I.I.Sc., Bangalore, India: 17th December 2014, Abstract number 165. http://eurasia13.org/abstract-file/abstract/CTC/IL/1.pdf
    [26] R. Heyrovska. New Interpretation of the Structure and Formation of Ozone Based on the Atomic and Golden Ratio Based Ionic Radii of Oxygen. http://viXra.org/abs/1503.0269, http://vixra.org/pdf/1503.0269v1.pdf
    [27] R. Heyrovska. The Golden ratio, a key geometrical constant in atomic architecture. 113th Statistical Mechanics Conference, Rutgers University, Hill Center, May 10-12, 2015, Program of Conference, Abstract B2, p 22. http://www.webelements.com/

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    Heyrovska R. Structural Insights at the Atomic Level of Important Materials: Al And Mn As Special Examples In Honor Of D. Shechtman. In: Kongoli F, Pech-Canul M, Kalemtas A, Werheit H, editors. Sustainable Industrial Processing Summit SIPS 2015 Volume 8: Composite & Ceramic, Quasi-crystals and Nanomaterials. Volume 8. Montreal(Canada): FLOGEN Star Outreach. 2015. p. 73-80.