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In CaF(2) type (fluorite structure) Ca^(...

In `CaF_(2)` type (fluorite structure) `Ca^(2+)` ions form W structure and `F^(-)` ions are present in all X voids. The coordination number of `Ca^(2=)` is Y and `F^(-)` is Z. W,X,Y and Z respectively are

A

W-ccp, X-octahedral , Y-8,Z-4

B

W-bcc, X-tetrahedral , Y-4,Z-8

C

W-ccp , X-tetrahedral , Y-8,Z-4

D

W-ccp, X-octahedral, Y-4, Z-8

Text Solution

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The correct Answer is:
To solve the question about the structure of calcium fluoride (CaF₂) and determine the values of W, X, Y, and Z, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Structure of CaF₂**: - Calcium fluoride crystallizes in a structure known as the fluorite structure. In this structure, the calcium ions (Ca²⁺) occupy the cubic close-packed (CCP) lattice, while the fluoride ions (F⁻) occupy the tetrahedral voids. **Hint**: Recall that in ionic compounds, cations and anions occupy specific lattice points based on their size and charge. 2. **Identify W (Structure of Ca²⁺)**: - The calcium ions form a cubic close-packed (CCP) structure. This is also referred to as face-centered cubic (FCC) or cubic close-packed (CCP). **Hint**: Think about how cations are arranged in a crystal lattice; they often take up the more stable, densely packed arrangements. 3. **Identify X (Structure of F⁻)**: - The fluoride ions occupy the tetrahedral voids in the CCP structure of calcium. In a CCP structure, there are tetrahedral voids that can be filled by smaller ions. **Hint**: Consider the arrangement of ions and how smaller ions fit into the voids created by larger ions. 4. **Determine Y (Coordination Number of Ca²⁺)**: - The coordination number is defined as the number of nearest neighbor ions surrounding a given ion. In the case of Ca²⁺ in CaF₂, each calcium ion is surrounded by 8 fluoride ions. **Hint**: Visualize the arrangement of ions around a central ion to count how many ions are in contact with it. 5. **Determine Z (Coordination Number of F⁻)**: - Each fluoride ion is surrounded by 4 calcium ions. Therefore, the coordination number of fluoride ions in this structure is 4. **Hint**: Again, visualize the arrangement of ions; how many cations surround each anion? ### Final Values: - W (Structure of Ca²⁺) = CCP (or FCC) - X (Structure of F⁻) = Tetrahedral voids - Y (Coordination number of Ca²⁺) = 8 - Z (Coordination number of F⁻) = 4 Thus, the final answer is: - W = CCP (or FCC), X = Tetrahedral voids, Y = 8, Z = 4. ### Summary: - W = CCP (or FCC) - X = Tetrahedral voids - Y = 8 - Z = 4

To solve the question about the structure of calcium fluoride (CaF₂) and determine the values of W, X, Y, and Z, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Structure of CaF₂**: - Calcium fluoride crystallizes in a structure known as the fluorite structure. In this structure, the calcium ions (Ca²⁺) occupy the cubic close-packed (CCP) lattice, while the fluoride ions (F⁻) occupy the tetrahedral voids. **Hint**: Recall that in ionic compounds, cations and anions occupy specific lattice points based on their size and charge. ...
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