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Pythagorean Harmony in the World of Metal Oxygen Clusters of the Mo11 Type: Giant Wheels and Spheres both Based on a Pentagonal Type Unit

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Book cover Molecular Self-Assembly Organic Versus Inorganic Approaches

Part of the book series: Structure and Bonding ((STRUCTURE,volume 96))

Abstract

“[...]; since, again, they (the Pythagoreans) saw that the attributes and the ratios of the musical scales were expressible in numbers; since, then, all other things seemed in their whole nature to be modeled after numbers, and numbers seemed to be the first things in the whole of nature, they supposed the elements of numbers to be the elements of all things, and the whole heaven to be a musical scale and a number.” (Aristotle Metaphysics 1, 985b 31 ff).

Polyoxometalate systems provide excellent models for the study of unusual molecular growth processes based on Mo11-type building motifs/blocks leading to unusual giant spherical and ring-shaped structures with stoichiometry Mo11 n (n = 12, 14, 16)-a Pythagorean harmony.

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Authors and Affiliations

  1. Faculty of Chemistry, University of Bielefeld, Postfach 100131, D-33501, Bielefeld, Germany

    Achim Müller, Paul Kögerler & Hartmut Bögge

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  1. Achim Müller
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  2. Paul Kögerler
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  1. Department of Applied Chemistry Graduate School of Engineering, Nagoya University, Chikusa, Nagoya, 464-8603, Japan

    Makoto Fuiita

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Müller, A., Kögerler, P., Bögge, H. (2000). Pythagorean Harmony in the World of Metal Oxygen Clusters of the Mo11 Type: Giant Wheels and Spheres both Based on a Pentagonal Type Unit. In: Fuiita, M. (eds) Molecular Self-Assembly Organic Versus Inorganic Approaches. Structure and Bonding, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46591-X_7

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  • DOI: https://doi.org/10.1007/3-540-46591-X_7

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