Which of the following is a correct statement ?
a)
Coordination number of a sphere in bcc lattice
is 12
b)
A ccp structure has 8 tetrahedral and 4 octahedral voids per unit cell
c)
Diamond has two dimensional crystal lattice
d)
Bonding in metallic crystals is directional
Correct answer is option 'B'. Can you explain this answer?

Question

Which of the following is a correct statement ?

a)
Coordination number of a sphere in bcc lattice
is 12
b)
A ccp structure has 8 tetrahedral and 4 octahedral voids per unit cell
c)
Diamond has two dimensional crystal lattice
d)
Bonding in metallic crystals is directional

Correct answer is option 'B'. Can you explain this answer?

Answer

Correct Statement: A ccp structure has 8 tetrahedral and 4 octahedral voids per unit cell.

Explanation:

Crystal Structure:
Crystal structure refers to the arrangement of atoms, ions, or molecules in a crystalline material. It is a three-dimensional arrangement of atoms, ions, or molecules in a crystalline material.

Close-Packed Structures:
In close-packed structures, the atoms are arranged in such a way that they occupy maximum space. There are two types of close-packed structures:

1. Hexagonal Close-Packed (hcp) Structure:
In the hcp structure, the atoms are arranged in a hexagonal pattern, and each atom is surrounded by 12 nearest neighbors. It has 6 octahedral voids and 12 tetrahedral voids per unit cell.

2. Face-Centered Cubic (fcc) Structure:
In the fcc structure, the atoms are arranged in a cubic pattern, and each atom is surrounded by 12 nearest neighbors. It has 4 octahedral voids and 8 tetrahedral voids per unit cell.

Tetrahedral and Octahedral Voids:
Tetrahedral and octahedral voids are the empty spaces present between the atoms in a crystal lattice. These voids are important in determining the physical properties of a material.

Tetrahedral Void:
A tetrahedral void is a space present between four atoms arranged in a tetrahedral shape. It is formed when the atoms in a crystal lattice are arranged in a close-packed structure.

Octahedral Void:
An octahedral void is a space present between six atoms arranged in an octahedral shape. It is formed when the atoms in a crystal lattice are arranged in a close-packed structure.

Answer:
In a ccp structure, there are 8 tetrahedral and 4 octahedral voids per unit cell. This is because the fcc structure has a cubic pattern, and each atom is surrounded by 12 nearest neighbors, resulting in 4 octahedral voids and 8 tetrahedral voids per unit cell. Therefore, option B is the correct statement.

Answer

CCP means FCC
so in FCC there r total 4 atom i.e.8×1/8 at corner,1/2× 6 at the centre of faces.
we know that no. of atom = no. octahedral void =2× no. of tetrahedral void
octahedral void = 4
tetrahedral void = 8
hence B is correct

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