Diatomic body-centered cubic crystal structure Consider a diatomic body-centered cubic crystal structure. The atoms at the corners of the cube have radii of 1.5 Å while those at the center of cube have radii of 3.0 A. Using hard-sphere r15A approximation, (a) Determine the lattice-constant a of the crystal. (b) Calculate the atomic packing factor for this crystal. (c) Calculate the number of atoms per em' of the crystal. (d) Calculate the number of atoms per cm? on the (111) plane of the crystal.

Principles of Modern Chemistry
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Chapter21: Structure And Bonding In Solids
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Diatomic body-centered cubic crystal structure
Consider a diatomic body-centered cubic crystal structure. The atoms at the corners of the
cube have radii of 1.5 Å while those at the center of cube have radii of 3.0 Å. Using hard-sphere
approximation,
(a) Determine the lattice-constant a of the crystal.
(b) Calculate the atomic packing factor for this crystal.
(c) Calculate the number of atoms per em of the crystal.
(d) Calculate the number of atoms per cm? on the (111) plane of the crystal.
Transcribed Image Text:Diatomic body-centered cubic crystal structure Consider a diatomic body-centered cubic crystal structure. The atoms at the corners of the cube have radii of 1.5 Å while those at the center of cube have radii of 3.0 Å. Using hard-sphere approximation, (a) Determine the lattice-constant a of the crystal. (b) Calculate the atomic packing factor for this crystal. (c) Calculate the number of atoms per em of the crystal. (d) Calculate the number of atoms per cm? on the (111) plane of the crystal.
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