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Which of the following statements is not...

Which of the following statements is not about the voids ?

A

Octahedral void is formed at the centre of six spheres which lies at the apices of a regular octahedron

B

There is one octahedral site for each sphere

C

There are two tetrahedral sites for each sphere

D

Octahedral voids are formed when the triangular voids in second layer exactly overlap with similar voids in the first layer .

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement is not about the voids, let's analyze each option step by step. ### Step 1: Analyze the First Statement **Statement:** "Octahedral voids are formed at the center of six spheres which lie at the vertices of a regular octahedron." - **Analysis:** This statement is correct. An octahedral void is indeed located at the center of six spheres arranged at the vertices of a regular octahedron. ### Step 2: Analyze the Second Statement **Statement:** "There is one octahedral void for each sphere." - **Analysis:** This statement is also correct. In a close-packed arrangement, each sphere contributes one octahedral void. ### Step 3: Analyze the Third Statement **Statement:** "There are two tetrahedral voids for each sphere." - **Analysis:** This statement is correct as well. In a close-packed structure, each sphere does indeed have two tetrahedral voids associated with it. ### Step 4: Analyze the Fourth Statement **Statement:** "Octahedral voids are formed when the triangular void in the second layer exactly overlaps with the similar void in the first layer." - **Analysis:** This statement is incorrect. Octahedral voids are formed when three close-packed spheres are arranged in a triangular formation, and another set of three spheres is placed above them in a specific orientation, not by overlapping triangular voids. ### Conclusion Based on the analysis, the statement that is not about the voids is: **D: "Octahedral voids are formed when triangular void in the second layer exactly overlap with similar void in the first layer."** ### Final Answer **The correct answer is D.** ---

To determine which statement is not about the voids, let's analyze each option step by step. ### Step 1: Analyze the First Statement **Statement:** "Octahedral voids are formed at the center of six spheres which lie at the vertices of a regular octahedron." - **Analysis:** This statement is correct. An octahedral void is indeed located at the center of six spheres arranged at the vertices of a regular octahedron. ### Step 2: Analyze the Second Statement ...
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