Question:

Lithium metal crystallizes in a body centred cubic crystal. If the length of the side of the unit cell of lithium is $351\, pm,$ the atomic radius of the lithium will be

Updated On: Jul 12, 2022
  • 240.8 pm
  • 151.8 pm
  • 75.5 pm
  • 300.5 pm
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The Correct Option is B

Solution and Explanation

for bcc type of unit cell $\sqrt{3} a =4 r$ $r =\frac{\sqrt{3}}{4} a$ $=\frac{1.732 \times 351}{4}$ $=151.98$
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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. 

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.