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This volume covers the rapidly developing field of complexity studies. The underlying theme is that complexity is to be found everywhere and the many chemical applications are discussed. The volume offers a comprehensive coverage of complexity and the ways in which it may be measured; complexiy indicies; complexity measures based on Shannon's information theory and thermodynamic complexity. The volume provides a valuable source of reference for graduates and researchers for mathematical chemistry.
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 flavour 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 synthesised. 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
super-heavy 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
behaviour 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.
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