Atom number 5 сл 7 12 Coordinate indices X i i i y i i Z i i

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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### Table: Coordinate Indices for Atoms

This table provides information on the coordinate indices for atoms in a molecular structure. The table is structured into two main columns: "Atom number" and "Coordinate indices," which further breaks down into x, y, and z coordinates. 

#### Columns Description:
- **Atom number**: This column lists the specific number associated with each atom in the molecular structure.
- **Coordinate indices**: This section contains sub-columns for x, y, and z, representing the three-dimensional positioning of each atom respectively.

#### Data Entries:
- **Atom number 5**: 
  - Includes input fields (denoted by an 'i' icon) for the x, y, and z coordinates.
  
- **Atom number 7**: 
  - Includes input fields (denoted by an 'i' icon) for the x, y, and z coordinates.
  
- **Atom number 12**: 
  - Includes input fields (denoted by an 'i' icon) for the x, y, and z coordinates.

Each cell under the coordinate indices is designed to input or display the corresponding values for the x, y, and z positions, which are crucial for understanding the spatial configuration of these atoms within a molecular model. The presence of the 'i' icon indicates that further information or interaction (such as entering data) may be available in these fields.
Transcribed Image Text:### Table: Coordinate Indices for Atoms This table provides information on the coordinate indices for atoms in a molecular structure. The table is structured into two main columns: "Atom number" and "Coordinate indices," which further breaks down into x, y, and z coordinates. #### Columns Description: - **Atom number**: This column lists the specific number associated with each atom in the molecular structure. - **Coordinate indices**: This section contains sub-columns for x, y, and z, representing the three-dimensional positioning of each atom respectively. #### Data Entries: - **Atom number 5**: - Includes input fields (denoted by an 'i' icon) for the x, y, and z coordinates. - **Atom number 7**: - Includes input fields (denoted by an 'i' icon) for the x, y, and z coordinates. - **Atom number 12**: - Includes input fields (denoted by an 'i' icon) for the x, y, and z coordinates. Each cell under the coordinate indices is designed to input or display the corresponding values for the x, y, and z positions, which are crucial for understanding the spatial configuration of these atoms within a molecular model. The presence of the 'i' icon indicates that further information or interaction (such as entering data) may be available in these fields.
The image depicts a three-dimensional cubic lattice structure, commonly used to illustrate atomic arrangements in crystallography. 

### Detailed Explanation:

- **Axes**: The structure is oriented along the x, y, and z axes, which represent the three-dimensional space.
- **Lattice Points**: There are 14 labeled lattice points (numbered 1 to 14) represented by red spheres, which indicate the positions of atoms or ions in the structure.
- **Cubic Geometry**: 
  - The cube is defined by points 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
  - Each edge of the cube is marked with a length 'a', indicating that the lattice is a cube with equal sides.
- **Planes and Directions**:
  - The cube is sectioned into different planar views delineated by lines connecting the lattice points.
  - Dotted lines within the cube connect points such as 6 to 12 and 9 to 8, showing the internal structure.
- **Additional Notation**:
  - The horizontal distance between lattice points 10 and 13, and the vertical distance between 2 and 11, are both marked as 'a', reinforcing the cubic symmetry.

This structure serves as a fundamental model for understanding unit cells, which are the basic repeating entities in crystalline materials.
Transcribed Image Text:The image depicts a three-dimensional cubic lattice structure, commonly used to illustrate atomic arrangements in crystallography. ### Detailed Explanation: - **Axes**: The structure is oriented along the x, y, and z axes, which represent the three-dimensional space. - **Lattice Points**: There are 14 labeled lattice points (numbered 1 to 14) represented by red spheres, which indicate the positions of atoms or ions in the structure. - **Cubic Geometry**: - The cube is defined by points 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14. - Each edge of the cube is marked with a length 'a', indicating that the lattice is a cube with equal sides. - **Planes and Directions**: - The cube is sectioned into different planar views delineated by lines connecting the lattice points. - Dotted lines within the cube connect points such as 6 to 12 and 9 to 8, showing the internal structure. - **Additional Notation**: - The horizontal distance between lattice points 10 and 13, and the vertical distance between 2 and 11, are both marked as 'a', reinforcing the cubic symmetry. This structure serves as a fundamental model for understanding unit cells, which are the basic repeating entities in crystalline materials.
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