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In AgBr crystal , the ion size lies in t...

In `AgBr` crystal , the ion size lies in the order `Ag^(+) lt lt Br^(-)` The `AgBr` crystal should have the following characheristics

A

Defectless (perfect) crystal

B

Schottky defect only

C

Frenkel defect only

D

Both Schottky and Frenkel defects

Text Solution

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The correct Answer is:
To analyze the characteristics of the `AgBr` crystal based on the given information about the ionic sizes, we can follow these steps: ### Step 1: Understand the Ionic Sizes In the `AgBr` crystal, the size of the `Ag^+` ion is significantly smaller than that of the `Br^-` ion. This difference in ionic sizes is crucial for determining the types of defects that can occur in the crystal structure. **Hint:** Compare the sizes of cations and anions to understand the type of defects that may occur. ### Step 2: Identify Types of Defects There are two main types of point defects in ionic crystals: - **Schottky Defect:** This defect occurs when an equal number of cations and anions are missing from the lattice, maintaining charge neutrality. It typically occurs in crystals where the sizes of cations and anions are similar. - **Frenkel Defect:** This defect occurs when a cation is displaced from its lattice site to an interstitial site, creating a vacancy. This type of defect is common in crystals where there is a significant size difference between cations and anions. **Hint:** Recall the definitions of Schottky and Frenkel defects and their conditions. ### Step 3: Analyze the `AgBr` Crystal Given that `Ag^+` is much smaller than `Br^-`, the `AgBr` crystal is likely to exhibit **Frenkel defects**. The small size of the `Ag^+` ion allows it to occupy interstitial sites, while the larger `Br^-` ions remain in their lattice positions. **Hint:** Consider how the size difference between ions affects the formation of defects. ### Step 4: Conclusion Since the `Ag^+` ions are much smaller than the `Br^-` ions, the `AgBr` crystal will predominantly exhibit **Frenkel defects**. Therefore, the correct characteristic of the `AgBr` crystal is that it should have **Frenkel defect only**. **Hint:** Focus on the relationship between ion size and the type of defects that can form in the crystal structure. ### Final Answer The `AgBr` crystal should have the characteristic of **Frenkel defect only**.
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