Chapter

Molecular Self-Assembly Organic Versus Inorganic Approaches

Volume 96 of the series Structure and Bonding pp 203-236

Date:

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

  • Achim MüllerAffiliated withFaculty of Chemistry, University of Bielefeld
  • , Paul KögerlerAffiliated withFaculty of Chemistry, University of Bielefeld
  • , Hartmut BöggeAffiliated withFaculty of Chemistry, University of Bielefeld

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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.

Keywords

Clusters Polyoxometalates Building Blocks