Lattice Structures of Atomic SolidsLayeringWe will begin this activity by looking at thelayering pattern of particles that gives rise toeach of the cubic unit cells. A unit cell is thesmallest unit in a repetitive pattern thatmakes the 3-dimensional lattice structure. Asshown in Figure 1, there are two basic 2Dpatterns for layers of atoms. The atoms ineach layer can be packed in a square array,or "close-packed" with a rhombusrepresenting the simplest repeating pattern.When multiple layers of a particular 2Dpattern are stacked together, they cangenerate a variety of 3D patterns, dependingon how the layers are shifted relative to eachother. If the layers repeat identically as theystack, this can be described as "aa"stacking. If the second layer is staggeredrelative to the first layer, but the third layer isstacked directly above the first layer, thisstacking pattern is described as "aba." Useletters a, b, c, etc, to label different layers.You can explore this layering effect byselecting Layer on the left of thevisualization tool and usingthe Expansion slider.ae sseatace tesk naesUse the visualization tool, and thediscussion and Figure 1 above to answer thefollowing questions.1. For the simple cubic (SC) lattice structure,what type of 2D unit cell exists in each layer,square or rhombic?2. For the body-centered cubic (BCC) latticestructure, what type of 2D unit cell exists ineach layer, square or rhombic?3. For the face-centered cubic (FCC) latticestructure, what type of 2D unit cell exists ineach layer, square or rhombic?4. For the hexagonal close-packed (HCP)lattice structure, what type of 2D unit cellexists in each layer, square or rhombic?5. What is the stacking pattern in the simplecubic lattice structure? aaa, abab, orabcabc?6. What is the stacking pattern in the body-centered cubic lattice structure? aaa, abab,or abcabc? |7. What is the stacking pattern in the face-centered cubic lattice structure? aaa, abab,or abcabc? |8. What is the stacking pattern in thehexagonal close-packed lattice structure?aaa, abab, or abcabc?

Answered: Image /qna-images/answer/a8190169-819d-4ea5-81cf-39b07fdd0875.jpg

Lattice Structures of Atomic Solids Layering We will begin this activity by looking at the layering pattern of particles that gives rise to each of the cubic unit cells. A unit cell is the smallest unit in a repetitive pattern that makes the 3-dimensional lattice structure. As shown in Figure 1, there are two basic 2D patterns for layers of atoms. The atoms in each layer can be packed in a square array, or "close-packed" with a rhombus representing the simplest repeating pattern. When multiple layers of a particular 2D pattern are stacked together, they can generate a variety of 3D patterns, depending on how the layers are shifted relative to each other. If the layers repeat identically as they stack, this can be described as "aa" stacking. If the second layer is staggered relative to the first layer, but the third layer is

Lattice Structures of Atomic Solids Layering We will begin this activity by looking at the layering pattern of particles that gives rise to each of the cubic unit cells. A unit cell is the smallest unit in a repetitive pattern that makes the 3-dimensional lattice structure. As shown in Figure 1, there are two basic 2D patterns for layers of atoms. The atoms in each layer can be packed in a square array, or "close-packed" with a rhombus representing the simplest repeating pattern. When multiple layers of a particular 2D pattern are stacked together, they can generate a variety of 3D patterns, depending on how the layers are shifted relative to each other. If the layers repeat identically as they stack, this can be described as "aa" stacking. If the second layer is staggered relative to the first layer, but the third layer is

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter21: The Solid State: Crystals

Section: Chapter Questions

Problem 21.4E

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