Face-centered cubic lattices contain how many molecules per unit cell?
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Answer: B. 4
Explanation
A face-centered cubic unit cell contains a net total of four lattice atoms. Atoms located at the eight corners contribute one eighth to each of eight adjacent cells. Atoms positioned on the six faces contribute one half to each of two sharing cells. Crystal lattices describe the repeating three-dimensional geometric arrangement of atoms in solids. Coordination number for face-centered cubic structures equals twelve, representing tight packing efficiency. Many common ductile metals like copper, gold, and aluminum crystallize in this specific geometry.
Understanding crystal unit cells helps materials scientists predict the slip systems and deformation behavior. Packing efficiency calculations determine the density and atomic spacing of crystalline engineering materials. X-ray diffraction techniques rely on these lattice geometries to analyze unknown metallic phase structures. Two molecules per unit cell is the characteristic atomic count for body-centered cubic crystal systems. Six molecules per unit cell does not correspond to any primary fundamental metal crystal lattice geometry. Eight molecules per unit cell represents a value larger than standard simple Bravais lattice counts.
- Subject
- Engineering
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- Chemical Engineering
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- Difficulty
- medium
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