Calculate the distance between octahedral sites in the FCC and HCP structures in units of r0, the radius of the close-packed atom, for both the sites in the same plane and the other planes. Then, explain why there are no common HCP-based ionic structures with all of the octahedral sites, or all of the tetrahedral sites filled. (That is, the FCC structure is preferred when all sites must be filled.) Use Pauling's rules and your knowledge of the ABA and ABCA stacking sequences.   Note: NiAs, which does have a structure based on HCP with all of the octahedral sites filled, is covalently bonded

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Calculate the distance between octahedral sites in the FCC and HCP structures in units of r0, the radius of the close-packed atom, for both the sites in the same plane and the other planes. Then, explain why there are no common HCP-based ionic structures with all of the octahedral sites, or all of the tetrahedral sites filled. (That is, the FCC structure is preferred when all sites must be filled.) Use Pauling's rules and your knowledge of the ABA and ABCA stacking sequences.

 

Note: NiAs, which does have a structure based on HCP with all of the octahedral sites filled, is covalently bonded.

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