Question:
In diamond, each carbon atom is bonded to four other carbon atoms tetrahedrally. The number of carbon atoms per unit cell is
In diamond, each carbon atom is bonded to four other carbon atoms tetrahedrally. The number of carbon atoms per unit cell is
Updated On: Jul 6, 2022
- 4
- 6
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- 8
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The Correct Option is D
Solution and Explanation
Structure of diamond can be visualised as an $f.c.c.$ arrangement of carbon atoms in which carbon atoms are also present in alternate tetrahedral sites. In such a way each carbon atom has a $C.N$. of $4$.
No. of atoms per unit cell.
$ = 8\times \frac{1}{8} + 6 \times \frac{1}{2} +4 \times 1$
$ = 1 + 3 + 4 = 8$
(Eight corners, six face centres and half of the $8$ tetrahedral sites)
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Concepts Used:
Solid State
Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions.
Types of Solids:
Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;
- Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
- Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.