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- W75597737 abstract "This paper first reviews the history, the economy, the material properties, and the applications of gold. Then the geometry of the face centered cubic (fcc) gold lattice is introduced. Based on the symmetric arrangement of atoms the gold lattice has a rich variety of symmetry transformations, that interchange the positions of atoms, but leave the lattice as a whole invariant. This begins with the point group symmetry of a single fcc lattice cell and is extended by combination with lattice translations to the full space group symmetry of the whole (practically infinite) lattice. We use the newly created interactive Space Group Visualizer (based on geometric algebra) in order to systematically picture all these symmetries. We can thus understand their origin and their relationships. In particular we give a full geometric explanation of the 192 screw symmetries passing through a single fcc cell of the gold lattice." @default.
- W75597737 created "2016-06-24" @default.
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- W75597737 date "2013-06-01" @default.
- W75597737 modified "2023-09-25" @default.
- W75597737 title "The Hidden Beauty of Gold" @default.
- W75597737 hasPublicationYear "2013" @default.
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