1. Explain why an end-centered unit cell cannot be cubic. What is the highest possible symmetry for this type of unit cell? 2. Explain why uncharged atoms or molecules never crystallize in simple structures. 3. Explain why a hexagonal closest-packed structure and a cubic closest-packed structure for a given element would be expected to have same density.

Physical Chemistry
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Chapter21: The Solid State: Crystals
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Problem 21.7E: How many different unit cells can a crystal have if the unit cell a has all 90 angles between its...
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1. Explain why an end-centered unit cell cannot be cubic. What is the highest possible symmetry for this type of unit
cell?
2. Explain why uncharged atoms or molecules never crystallize in simple structures.
3. Explain why a hexagonal closest-packed structure and a cubic closest-packed structure for a given element would be
expected to have same density.
Transcribed Image Text:1. Explain why an end-centered unit cell cannot be cubic. What is the highest possible symmetry for this type of unit cell? 2. Explain why uncharged atoms or molecules never crystallize in simple structures. 3. Explain why a hexagonal closest-packed structure and a cubic closest-packed structure for a given element would be expected to have same density.
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