Looking at Figure 12.27 identify the coordination numbers of the Cu, Y, and Ba atoms.

Verified step by step guidance

1. Identify the different types of atoms in the figure: Cu (blue), Y (yellow), and Ba (red).
2. Count the number of nearest neighbor atoms surrounding a Cu atom (blue).
3. Count the number of nearest neighbor atoms surrounding a Y atom (yellow).
4. Count the number of nearest neighbor atoms surrounding a Ba atom (red).
5. Summarize the coordination numbers for Cu, Y, and Ba based on the counts from the previous steps.

Key Concepts

Coordination Number

The coordination number of an atom in a crystal structure refers to the number of nearest neighboring atoms surrounding it. This concept is crucial for understanding the geometry and stability of crystalline solids, as it influences the physical properties of the material, such as density and melting point.

Crystal Lattice Structure

A crystal lattice structure is a three-dimensional arrangement of atoms or ions in a crystalline solid. The specific arrangement determines the coordination numbers of the constituent atoms, which can vary based on the type of crystal system (e.g., cubic, hexagonal) and the size and charge of the atoms involved.

Ionic and Metallic Bonding

Ionic and metallic bonding are two types of chemical bonding that significantly influence the coordination numbers in solids. In ionic compounds, the coordination number is determined by the electrostatic attraction between cations and anions, while in metallic bonding, it relates to the arrangement of metal atoms and the delocalization of electrons, affecting the overall structure and properties of the material.