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What type of crystal defect is indicated...

What type of crystal defect is indicated in the diagram given below :
`{:(Na^(+),Cl^(-),Na^(+),Cl^(-),Na^(+),Cl^(-)),(Cl^(-),square,Cl^(-),Na^(+),square,Cl^(-)),(Na^(+),Cl^(-),square,Cl^(-),Na^(+),Cl^(-)),(Cl^(-),Na^(+),Cl^(-),Na^(+),square,N^(+)):}`

A

Frenkel and Schotky defects

B

Schotky defect

C

Interstitial defect

D

Frenkel defect

Text Solution

AI Generated Solution

The correct Answer is:
To determine the type of crystal defect indicated in the given diagram, we will analyze the structure of NaCl and the nature of the defects. ### Step-by-Step Solution: 1. **Identify the Crystal Structure**: - The question involves NaCl, which is an ionic compound. In the NaCl crystal structure, Na⁺ and Cl⁻ ions are arranged alternately in a cubic lattice. **Hint**: Recall that NaCl has a face-centered cubic (FCC) structure with a 1:1 ratio of cations and anions. 2. **Examine the Diagram**: - The diagram shows positions of Na⁺ and Cl⁻ ions, indicating some vacancies (empty squares) where either Na⁺ or Cl⁻ ions are missing. **Hint**: Look for patterns in the vacancies. Are they equal in number for both Na⁺ and Cl⁻? 3. **Determine the Type of Defect**: - In the diagram, both Na⁺ and Cl⁻ ions are missing in equal proportions. This suggests that there are vacancies for both types of ions. **Hint**: Remember that a defect where equal numbers of cations and anions are missing is characteristic of a specific type of defect. 4. **Identify the Defect**: - The absence of both Na⁺ and Cl⁻ ions in equal proportions indicates a Schottky defect. In a Schottky defect, vacancies are created for both cations and anions, maintaining overall charge neutrality. **Hint**: Schottky defects are common in ionic compounds where the cations and anions are of similar sizes. 5. **Conclusion**: - Based on the analysis, the type of crystal defect indicated in the diagram is a **Schottky defect**. ### Final Answer: The type of crystal defect indicated in the diagram is a **Schottky defect** (Option B).
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