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The Mathematics of the Periodic Table
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Editors: Rouvray, D. H. and King, R. B. (University of Georgia)
Book Description:
The Periodic Table effectively embraces the whole realm of chemistry within the confines of one comparatively simple and easily understood chart of the chemical elements. Over many years the Periodic Table has proven to be indispensable not only to chemists of all kinds but also to a host of other scientists, including biologists, geologists and physicists. It is thus hardly surprising that the Periodic Table has become one of our most celebrated contemporary scientific icons. In the present work various aspects of the Periodic Table that are seldom if ever featured elsewhere are given prominence. The twelve presentations contained herein all have a mathematical flavor because it is the intention to highlight the often-neglected mathematical features of the Periodic Table and several closely related topics.
The book starts out by considering predictions of what the ultimate size of the Periodic Table will be when all of the possible artificial chemical elements have been synthesized. It then moves on to an examination of the nature of the periodicity extant in the Periodic Table and some methods for the prediction of the properties of the superheavy elements. The Periodic Table is next explored in various dimensions other than two. The natural clustering of the elements into groups is studied by three different but complementary routes, namely via the topological structures of the groups, the self-association of the elements as evidenced by neural network studies, and information theoretical analysis of the behavior of atoms. Following a detailed investigation of the mathematical basis for the periodicity seen in atomic and molecular spectroscopy, three separate presentations delve into many different aspects of the group-theoretical structure of the Periodic Table. The unusual combination of themes offered here will appeal to all who seek a more detailed and intimate knowledge of the Periodic Table than that available in standard texts on the subject.

Table of Contents:
(D. H. Rouvray and R. B. King); Foreword (P. H. A. Sneath)

Chapter 1. The Ultimate Size of the Periodic Table (pp.1-30)
(D. H. Rouvray)

Chapter 2. Statistical Modeling of Chemical Periodicity and Prediction of the Properties of the Superheavy Elements (pp.31-50)
(N. N. Khramov et al.)

Chapter 3. Syncopated Periodicity of Atoms in Molecules (pp.51-58)
(P. G. Mezey)

Chapter 4. n-Dimensional Periodic Tables of the Elements (pp.59-74)
(H. Hosoya et al.,)

Chapter 5. Topological Study of the Periodic System (pp.75-100)
(G. Restrepo et al.,);

Chapter 6. Self-Associative Periodic Table of Elements by Neural Networks (pp.101-118)
(J. Fayos)

Chapter 7. An Elucidation of the Nature of the Periodic Law (pp.119-160)
(G. P. Shpenkov)

Chapter 8. Periodicity of the Chemical Elements and Nuclides: An Information-Theoretic Analysis (pp.161-188)
(D. Bonchev)

Chapter 9. Mathematical Basis of Periodicity in Atomic and Molecular Spectroscopy (pp.189-216)
(K. Balasubramanian)

Chapter 10. Group Theory of the Periodic Table (pp.217-236)
(O. Novaro)

Chapter 11. A Group-Theoretical Approach to the Periodic Table: Old and New Developments (pp.237-264)
(M. R. Kibler)

Chapter 12. Group Theory Applied to the Periodic Table of the Elements (pp.265-312)
(V. N. Ostrovsky)


   Binding: Hardcover
   Pub. Date: 2005
   ISBN: 978-1-59454-259-6
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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The Mathematics of the Periodic Table