On the relation between bond hybrids and the metallic structures

  title={On the relation between bond hybrids and the metallic structures},
  author={Simon L. Altmann and Charles Alfred Coulson and William Hume-rothery},
  journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  pages={145 - 159}
The failure of existing theories to account for the type of crystal structure of a given metal is emphasized. It is suggested that, particularly when the number of bonding electrons is high, the metallic bond has greater directional characteristics than are generally assumed, and that these can be related to the symmetries of known hybrid bonds. Hybrids involving both gerade and ungerade orbitals (e. g. sp3) are not centro-symmetrical, and give rise to electron clouds biased on one side of the… Expand

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  • Progr. M etal Phys. 3,
  • 1952