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In 3 D close-packed structures, for every 100 atom, it contains
- a)50 octahedral voids.
- b)100 tetrahedral voids.
- c)200 octahedral voids.
- d)100 octahedral voids.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In 3 D close-packed structures, for every 100 atom, it containsa)50 oc...
In a closed packed structure:
The number of octahedral voids = Effective number of atoms
The number of tetrahedral voids = 2 × Effective number of atoms
Given number of atoms n = 100
Hence, the number of tetrahedral voids = 2 × n = 2 × 100 = 200
The number of octahedral voids = n = 100
The number of octahedral voids = Effective number of atoms
The number of tetrahedral voids = 2 × Effective number of atoms
Given number of atoms n = 100
Hence, the number of tetrahedral voids = 2 × n = 2 × 100 = 200
The number of octahedral voids = n = 100
Community Answer
In 3 D close-packed structures, for every 100 atom, it containsa)50 oc...
Explanation:
Close-Packed Structures:
Close-packed structures refer to the arrangement of atoms in a crystal lattice where the atoms are closely packed together. In 3D close-packed structures, atoms are arranged in a specific manner to maximize the packing efficiency.
Octahedral Voids:
Octahedral voids are the spaces between six atoms in a close-packed structure. These voids are shaped like octahedrons and are commonly found in close-packed structures.
Tetrahedral Voids:
Tetrahedral voids are the spaces between four atoms in a close-packed structure. These voids are shaped like tetrahedrons and are also present in close-packed structures.
Calculation:
In a close-packed structure, for every 100 atoms, there are 100 octahedral voids. This is because each atom in a close-packed structure is in contact with 12 other atoms, leading to the formation of 6 octahedral voids around each atom. Therefore, the number of octahedral voids is equal to the number of atoms in the structure.
Therefore, the correct answer is option 'D' - 100 octahedral voids for every 100 atoms in a 3D close-packed structure.
Close-Packed Structures:
Close-packed structures refer to the arrangement of atoms in a crystal lattice where the atoms are closely packed together. In 3D close-packed structures, atoms are arranged in a specific manner to maximize the packing efficiency.
Octahedral Voids:
Octahedral voids are the spaces between six atoms in a close-packed structure. These voids are shaped like octahedrons and are commonly found in close-packed structures.
Tetrahedral Voids:
Tetrahedral voids are the spaces between four atoms in a close-packed structure. These voids are shaped like tetrahedrons and are also present in close-packed structures.
Calculation:
In a close-packed structure, for every 100 atoms, there are 100 octahedral voids. This is because each atom in a close-packed structure is in contact with 12 other atoms, leading to the formation of 6 octahedral voids around each atom. Therefore, the number of octahedral voids is equal to the number of atoms in the structure.
Therefore, the correct answer is option 'D' - 100 octahedral voids for every 100 atoms in a 3D close-packed structure.
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In 3 D close-packed structures, for every 100 atom, it containsa)50 octahedral voids.b)100 tetrahedral voids.c)200 octahedral voids.d)100 octahedral voids.Correct answer is option 'D'. Can you explain this answer?
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