Question:

Aluminium metal has face centred cubic (f.c.c.) structure. The number of $'Al'$ atoms per unit cell of the lattice is

Updated On: Jul 6, 2022
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The Correct Option is C

Solution and Explanation

In a unit cell there are $8$ corners and $6$ faces. Since each comer of the unit cell is shared by eight unit cells, and each face is shared by two unit cells, the number of points per face unit cell $Z = 8 \times \frac{1}{8} +6 \times + \frac{1}{2} $ $ = 1 + 3 = 4$
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Notes on The solid state

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. 

Solid State

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.