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Given the following Bravais lattices: 1- Identify (describe) the Bravais lattice 2- How many nearest neighbor lattice points are there for each lattice point in the lattice four lattice type? 3- How many lattices points are in each unit cell? 4- Determine the shortest distance between particles in each unit cell.

Given the following Bravais lattices: 1- Identify (describe) the Bravais lattice 2- How many nearest neighbor lattice points are there for each lattice point in the lattice four lattice type? 3- How many lattices points are in each unit cell? 4- Determine the shortest distance between particles in each unit cell.

Chemistry
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
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Given the following Bravais lattices:

1- Identify (describe) the Bravais lattice

2- How many nearest neighbor lattice points are there for each lattice point in the lattice four lattice type?

3- How many lattices points are in each unit cell?

4- Determine the shortest distance between particles in each unit cell.

The image represents the crystal structure of diamond, specifically the diamond cubic crystal structure. This is a type of face-centered cubic (FCC) lattice. ### Explanation of the Diagram: - **Yellow Spheres**: Represent carbon atoms, which are the constituent atoms in a diamond structure. - **White/Transparent Spheres**: Also highlight carbon atoms, but these might be distinguished in the diagram to indicate a different layer or position within the lattice. - **Lines**: These include solid and dotted lines that connect the spheres, representing covalent bonds between carbon atoms. - **Cube Outline**: The diagram is overlaid within a cubic framework, illustrating the three-dimensional arrangement of carbon atoms within the diamond lattice. ### Key Characteristics: 1. **Tetrahedral Coordination**: Each carbon atom is covalently bonded to four other carbon atoms in a tetrahedral geometry. 2. **High Symmetry**: The diamond cubic structure has a high degree of symmetry and is a repeating pattern throughout the entire crystal. 3. **Stability and Hardness**: This arrangement is responsible for the hardness and stability of diamond, making it a material with significant industrial and aesthetic value. This structure is crucial in understanding the properties that give diamonds their unique characteristics, such as hardness and refractive index.
Transcribed Image Text:The image represents the crystal structure of diamond, specifically the diamond cubic crystal structure. This is a type of face-centered cubic (FCC) lattice. ### Explanation of the Diagram: - **Yellow Spheres**: Represent carbon atoms, which are the constituent atoms in a diamond structure. - **White/Transparent Spheres**: Also highlight carbon atoms, but these might be distinguished in the diagram to indicate a different layer or position within the lattice. - **Lines**: These include solid and dotted lines that connect the spheres, representing covalent bonds between carbon atoms. - **Cube Outline**: The diagram is overlaid within a cubic framework, illustrating the three-dimensional arrangement of carbon atoms within the diamond lattice. ### Key Characteristics: 1. **Tetrahedral Coordination**: Each carbon atom is covalently bonded to four other carbon atoms in a tetrahedral geometry. 2. **High Symmetry**: The diamond cubic structure has a high degree of symmetry and is a repeating pattern throughout the entire crystal. 3. **Stability and Hardness**: This arrangement is responsible for the hardness and stability of diamond, making it a material with significant industrial and aesthetic value. This structure is crucial in understanding the properties that give diamonds their unique characteristics, such as hardness and refractive index.
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