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Crystal Lattice and Unit Cell

23.Which of t...

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23.Which of the following statements is not correct (1)The number of bravais lattices in which a crystal can be categorized is 14 (2)The fraction of the total volume occupied by the atoms in a primitive cell is 0.52 (3)Molecular solids are generally volatile (4)The number of carbon atoms in a unit cell of diamond is 4

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Q. Select the correct statement(s) about cubic structure of diamond.
1. Effective number of atoms present in a diamond cubic cell is

8

.
2. Each carbon is surrounded by four more carbon atoms.
3. Atomic radius of carbon is

\frac{\sqrt{3} \times a}{8}

, where a is edge length of cube.
4. Approximate packing fraction of unit cell is

\frac{\sqrt{3} \times π}{16}

.

Q. Unit cells can be divided into two categories, primitive and centered unit cells.
(a) Differentiate between Unit Cell and Crystal Lattice?
(b) Calculate the number of atoms per unit cell in the following:
(i) Body centered cubic unit cell (bcc)
(ii) Face centered cubic unit cell (fcc)

Q. Assertion :There are seven types of crystal system and

14

types of Bravais lattices. Reason: Rhombohedral, triclinic and hexagonal crystal systems have only primitive unit cell.

Q. The volume of a unit cell of a metallic crystal of bcc type is

8.4 \times 16^{- 23} c m^{3}

. The volume unit cell occupied by 10 atoms in the crystalline structure is:

Q. In a cubic unit cell, seven of the eight corners are occupied by atoms

A

and centres of faces are occupied by atoms

B

. Total number of atoms in the general formula of the compound is:

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