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STATEMENT -1 : In NaCl structure , Na^...

STATEMENT -1 : In NaCl structure , ` Na^(+)` ion occupy octahedral holes and `Cl^(-)` ions
occupy ccp.
STATEMENT -2 : The distance of the nearest neighours in NaCl structure is `a//2` where a
is the edge length of the cube .

A

If both the statement are TRUE and STATEMENT -2 is the correct explanation of STATEMENT -1

B

If both the statement are TRUE and STATEMENT -2 is NOT the correct explanation of STATEMENT -1

C

If STATEMENT -1 is the correcct and TRUE and STATEMENT -2 is FALSE

D

If STATEMENT -1 is the correcct and FALSE and STATEMENT -2 is TRUE

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the two statements regarding the NaCl structure and determine their correctness. ### Step 1: Analyze Statement 1 **Statement 1:** In NaCl structure, Na⁺ ion occupies octahedral holes and Cl⁻ ions occupy ccp. - **Understanding NaCl Structure:** - NaCl has a face-centered cubic (FCC) arrangement of Cl⁻ ions. In this arrangement, Cl⁻ ions are located at the corners and the face centers of the cubic unit cell. - The Na⁺ ions occupy the octahedral voids created by the arrangement of Cl⁻ ions. In a face-centered cubic structure, octahedral voids are located at the body center and at the edge centers of the cube. **Conclusion for Statement 1:** This statement is correct. ### Step 2: Analyze Statement 2 **Statement 2:** The distance of the nearest neighbors in NaCl structure is a/2 where a is the edge length of the cube. - **Finding the Nearest Neighbor Distance:** - In the NaCl structure, the nearest neighbors for Na⁺ ions are the Cl⁻ ions that are located at the corners of the cube. - The distance between a Na⁺ ion (located in the octahedral void at the edge center) and a Cl⁻ ion (located at the corner) can be calculated using geometry. - The distance from the center of the edge (where Na⁺ is located) to the corner (where Cl⁻ is located) is half the edge length of the cube. - Therefore, the distance between the nearest neighbors (Na⁺ and Cl⁻) is indeed a/2. **Conclusion for Statement 2:** This statement is also correct. ### Final Conclusion Both statements are correct. Therefore, the answer is that both statements are true, and Statement 2 is a correct explanation of Statement 1. ### Summary of the Solution - **Statement 1:** Correct (Na⁺ occupies octahedral holes, Cl⁻ occupies ccp). - **Statement 2:** Correct (Nearest neighbor distance is a/2).
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Knowledge Check

  • In NaCl structure, Na^+ ions occupies:

    A
    All octahedral and tetrahedral sites are occupied
    B
    Only octahedral sites are occupied
    C
    Only tetrahedral sites are occupied
    D
    Neither octahedral nor tetrahedral sites are occupied
  • If the distance between Na^(+) and Cl^(-) ions in NaCl crystals is 265 pm, then edge length of the unit cell will be ?

    A
    265 pm
    B
    795 pm
    C
    132.5 pm
    D
    530 pm
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