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By Krueger A.

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The markedly varied hardness of its crystal planes is employed for this process: the polishing powder contains irregularly shaped fragments that represent material of every required hardness to abrade each crystal plane. The main task in diamond cutting is to accentuate the stone’s luster. As much of the raw material as possible shall be preserved in doing so while achieving attractive gems nevertheless. Hence a multitude of cuts has been developed over the centuries, culminating in the so-called brilliant full cut that possesses at least 32 facettes and a plate on the upper half, and at least 24 facets and an optional calette on the lower.

The markedly varied hardness of its crystal planes is employed for this process: the polishing powder contains irregularly shaped fragments that represent material of every required hardness to abrade each crystal plane. The main task in diamond cutting is to accentuate the stone’s luster. As much of the raw material as possible shall be preserved in doing so while achieving attractive gems nevertheless. Hence a multitude of cuts has been developed over the centuries, culminating in the so-called brilliant full cut that possesses at least 32 facettes and a plate on the upper half, and at least 24 facets and an optional calette on the lower.

The object belongs in point group Ih and features 6 S10-rotary alternating axes (including 6 C5-axes of rotation), 10 S6rotary alternating axes (including ten 10 C3-axes of rotation), 15 C2-axes of rotation, and 15 mirror planes each of which contains two C5- and two C2-axes of rotation. 4). It is composed of 12 pentagons and 20 hexagons, with each fivemembered ring being surrounded by six-membered ones alone. We will later find this to be the typical feature of stable fullerenes. Theoretical as well as experimental studies proved that not all C–C bonds in C60 are of equal length, they rather alternate with the (5,6)-bond between fiveand six-membered rings being longer than the (6,6)-bond between adjacent hexagons.

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