Pythagorean harmony can be found in the spherical polyoxometalate clusters described here (see illustration for an example of a structure), since there are interesting relationships between the so-called magic numbers (12, 32, 42, 72, 132) relevant for spherical viruses and the number of the building blocks in the cluster. The size of these Keplerate clusters can be tailored by varying the type of connections between the pentagons by means of different spacers.

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Pythagorean harmony can be found in the spherical polyoxometalate clusters described here (see illustration for an example of a structure), since there are interesting relationships between the so-called magic numbers (12, 32, 42, 72, 132) relevant for spherical viruses and the number of the building blocks in the cluster. The size of these Keplerate clusters can be tailored by varying the type of connections between the pentagons by means of different spacers.

Dedicated to Professor Reinhardt Ahlrichs on the occasion of his 60th birthdayGiant molecular spheres of variable size can be generated by linking pentagons with various spacers.[ [2] is oxidized, the deep blue, crystalline, molybdenum oxide acetate-type molecules containing 2 is formed. Product 2 was characterized by elemental analysis (including cerimetric titration to determine the (formal) number of Mo V centers), thermogravimetry (to determine the number of crystal water molecules), spectroscopy (IR, UV/Vis, resonance Raman, ESR), magnetochemical measurements, extended Hückel (EH) MO calculations, and single crystal X-ray diffraction [3] including bond valence sum (BVS) calculations (to determine the positions of the H 2 O ligands and to differentiate between Mo VI and Mo V centers).

In context with the challenge to assemble giant molecules into patterns with limited size, molybdenum oxide giant spheres (with a molecular mass of about 16 kDa) could be 'kicked out' like soccer balls into the gas phase using matrix assisted laser desorption and ionization (MALDI) and detected by TOF mass spectrometry while cluster collectives ranging from dimers to pentamers were observed.