What is the chemical formula of the following compound? What would be possible identities of the anion and cation?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Chemical Formula and Compound Identification**

### Problem Statement:
What is the chemical formula of the following compound? What would be possible identities of the anion and cation?

### Diagram Explanation:
The provided diagram represents a unit cell of an ionic compound's crystal lattice structure. The lattice is depicted in a cubic configuration with atoms positioned at specific points within the unit cell.

- **Yellow Spheres**: These atoms are located at the corners and face centers of the cubic lattice.
- **Blue Spheres**: These atoms are positioned along the edges and the center of the cubic lattice.

### Analysis:
1. **Identification of the Lattice:**
   The yellow spheres appear to form a face-centered cubic (FCC) lattice. In a face-centered cubic unit cell, there are atoms at each of the eight corners and at the center of each of the six faces of the cube.

2. **Counting the Atoms:**
   - **Yellow Spheres**: 
     - Atoms at the corners: 8 corners × 1/8 atom per corner = 1 atom
     - Atoms at the face centers: 6 faces × 1/2 atom per face = 3 atoms
     - Total yellow spheres per unit cell = 1 + 3 = 4 atoms
   
   - **Blue Spheres**:
     - Atoms at the edges: 12 edges × 1/4 atom per edge = 3 atoms
     - Atom at the center: 1 atom
     - Total blue spheres per unit cell = 3 + 1 = 4 atoms

3. **Chemical Formula:**
   Since there are equal numbers of yellow and blue spheres in the unit cell, this suggests a 1:1 stoichiometric ratio of the two types of atoms in the compound. Therefore, the empirical chemical formula of the compound is AB.

### Possible Identities:
Given that yellow and blue spheres represent different ions:

- **Cation (A)**: This could be a metal, commonly found in the cationic form.
- **Anion (B)**: This could be a non-metal or a polyatomic ion, commonly found in the anionic form.

Some possible combinations in real-world scenarios include:
- NaCl (Sodium Chloride): Na⁺ (sodium ion) as the cation and Cl⁻ (chloride ion) as the anion.
- CaO (Calcium Oxide):
Transcribed Image Text:**Chemical Formula and Compound Identification** ### Problem Statement: What is the chemical formula of the following compound? What would be possible identities of the anion and cation? ### Diagram Explanation: The provided diagram represents a unit cell of an ionic compound's crystal lattice structure. The lattice is depicted in a cubic configuration with atoms positioned at specific points within the unit cell. - **Yellow Spheres**: These atoms are located at the corners and face centers of the cubic lattice. - **Blue Spheres**: These atoms are positioned along the edges and the center of the cubic lattice. ### Analysis: 1. **Identification of the Lattice:** The yellow spheres appear to form a face-centered cubic (FCC) lattice. In a face-centered cubic unit cell, there are atoms at each of the eight corners and at the center of each of the six faces of the cube. 2. **Counting the Atoms:** - **Yellow Spheres**: - Atoms at the corners: 8 corners × 1/8 atom per corner = 1 atom - Atoms at the face centers: 6 faces × 1/2 atom per face = 3 atoms - Total yellow spheres per unit cell = 1 + 3 = 4 atoms - **Blue Spheres**: - Atoms at the edges: 12 edges × 1/4 atom per edge = 3 atoms - Atom at the center: 1 atom - Total blue spheres per unit cell = 3 + 1 = 4 atoms 3. **Chemical Formula:** Since there are equal numbers of yellow and blue spheres in the unit cell, this suggests a 1:1 stoichiometric ratio of the two types of atoms in the compound. Therefore, the empirical chemical formula of the compound is AB. ### Possible Identities: Given that yellow and blue spheres represent different ions: - **Cation (A)**: This could be a metal, commonly found in the cationic form. - **Anion (B)**: This could be a non-metal or a polyatomic ion, commonly found in the anionic form. Some possible combinations in real-world scenarios include: - NaCl (Sodium Chloride): Na⁺ (sodium ion) as the cation and Cl⁻ (chloride ion) as the anion. - CaO (Calcium Oxide):
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