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Question B1 a) A hexagonal close-packed layer in two dimensions is shown in figure 2. By identifying a suitable unit cell, calculate the packing fraction of this structure. b) Two possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc struc- ture, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure, in which atoms are touching along a body diagonal of the cube. Calculate the packing fractions of each of these structures. Which one of them is close- packed?

Question B1 a) A hexagonal close-packed layer in two dimensions is shown in figure 2. By identifying a suitable unit cell, calculate the packing fraction of this structure. b) Two possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc struc- ture, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure, in which atoms are touching along a body diagonal of the cube. Calculate the packing fractions of each of these structures. Which one of them is close- packed?

Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter12: The Solid State
Section: Chapter Questions
Problem 49GQ
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Figure 2: A hexagonal close-packed layer of atoms in two dimensions. (a) (b) Figure 3: Conventional unit cells for: (a) the fcc structure; (b) the bcc structure. Answer ALL questions in Section B Question B1 SECTION B a) A hexagonal close-packed layer in two dimensions is shown in figure 2. By identifying a suitable unit cell, calculate the packing fraction of this structure. b) Two possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc struc- ture, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure, in which atoms are touching along a body diagonal of the cube. Calculate the packing fractions of each of these structures. Which one of them is close- packed?
Transcribed Image Text:Figure 2: A hexagonal close-packed layer of atoms in two dimensions. (a) (b) Figure 3: Conventional unit cells for: (a) the fcc structure; (b) the bcc structure. Answer ALL questions in Section B Question B1 SECTION B a) A hexagonal close-packed layer in two dimensions is shown in figure 2. By identifying a suitable unit cell, calculate the packing fraction of this structure. b) Two possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc struc- ture, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure, in which atoms are touching along a body diagonal of the cube. Calculate the packing fractions of each of these structures. Which one of them is close- packed?
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