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In the closest packing of atoms...

In the closest packing of atoms

A

(a) the size of tetrahedral void is greater than that of octahedral void

B

(b) the size of tertrahedral void is smaller than that of octahedral void

C

(c) the size of tertrahedral void is equal than that of octahedral void

D

(d) the size of tetraderal void may be or smaller or equal to that of octahedral void depending upon the size of atoms

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the size comparison between tetrahedral voids (T-void) and octahedral voids (O-void) in the closest packing of atoms, we can follow these steps: ### Step 1: Understand the Definitions - **Tetrahedral Void (T-void)**: This void is formed when four atoms are arranged in a tetrahedral geometry around a central void. In a close-packed structure, a tetrahedral void is located between two layers of atoms. - **Octahedral Void (O-void)**: This void is formed when six atoms are arranged in an octahedral geometry around a central void. An octahedral void is found between two layers of atoms, with one atom above and one atom below the plane of the void. ### Step 2: Visualize the Structures - Draw or visualize the arrangement of atoms in a close-packed structure (like FCC or HCP). - Identify the positions of tetrahedral and octahedral voids within this arrangement. ### Step 3: Compare the Sizes - The tetrahedral void is smaller than the octahedral void due to the arrangement of surrounding atoms. - The tetrahedral void is surrounded by four atoms, while the octahedral void is surrounded by six atoms, leading to a larger size. ### Step 4: Conclusion - Based on the comparison, we conclude that the size of the octahedral void is greater than that of the tetrahedral void. ### Final Answer - The correct option is **B**: The size of the octahedral void is greater than that of the tetrahedral void. ---
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