The elements in this unit cell "touch" each other along the diagonal that goes through the cell's center. Which unit cell is it? O A) This is a common characteristic for all three listed unit cells. B) Simple cubic O C) Face-centered cubic D) Body-centered cubic
The elements in this unit cell "touch" each other along the diagonal that goes through the cell's center. Which unit cell is it? O A) This is a common characteristic for all three listed unit cells. B) Simple cubic O C) Face-centered cubic D) Body-centered cubic
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Understanding Unit Cells in Crystallography**
The elements in this unit cell "touch" each other along the diagonal that goes through the cell's center. Which unit cell is it?
- O A) This is a common characteristic for all three listed unit cells.
- O B) Simple cubic
- O C) Face-centered cubic
- O D) Body-centered cubic
---
In this context, a unit cell represents the smallest repeating structure of a crystal lattice. The question involves determining which type of unit cell has elements that "touch" each other along the diagonal spanning through the center of the cell.
To make an informed choice, it’s critical to understand the geometric arrangement of atoms in each type of unit cell:
1. **Simple Cubic:** Atoms are positioned solely at the eight corners of the cube.
2. **Face-Centered Cubic (FCC):** Atoms are situated at each corner and the centers of all the cubic faces.
3. **Body-Centered Cubic (BCC):** Atoms are located at all eight corners along with one atom at the very center of the cube.
In a Body-Centered Cubic (BCC) structure, atoms touch each other along the body diagonal that runs through the cell's center, satisfying the described condition. Therefore, the correct answer is:
- D) Body-centered cubic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb21ffba4-460f-41d0-866e-5be939c02582%2F2e8982d0-e17c-4408-90e5-7bb113022341%2F8qbowo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Unit Cells in Crystallography**
The elements in this unit cell "touch" each other along the diagonal that goes through the cell's center. Which unit cell is it?
- O A) This is a common characteristic for all three listed unit cells.
- O B) Simple cubic
- O C) Face-centered cubic
- O D) Body-centered cubic
---
In this context, a unit cell represents the smallest repeating structure of a crystal lattice. The question involves determining which type of unit cell has elements that "touch" each other along the diagonal spanning through the center of the cell.
To make an informed choice, it’s critical to understand the geometric arrangement of atoms in each type of unit cell:
1. **Simple Cubic:** Atoms are positioned solely at the eight corners of the cube.
2. **Face-Centered Cubic (FCC):** Atoms are situated at each corner and the centers of all the cubic faces.
3. **Body-Centered Cubic (BCC):** Atoms are located at all eight corners along with one atom at the very center of the cube.
In a Body-Centered Cubic (BCC) structure, atoms touch each other along the body diagonal that runs through the cell's center, satisfying the described condition. Therefore, the correct answer is:
- D) Body-centered cubic.
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