Question:

If $ a $ , $ b $ , $ c $ are the lengths of three edges of unit cell, $ \alpha $ is the angle between side $ b $ and $ c $ , $ \beta $ is the angle between side $ a $ and $ c $ and $ \gamma $ is the angle between side $ a $ and $ b $ , what is the Bravais Lattice dimensions of a tetragonal crystal?

Updated On: Jun 8, 2024
  • $ a = b = c $ and $ \alpha = \beta = \gamma = 90^{\circ} $
  • $ a = b \ne c $ and $ \alpha = \beta = \gamma = 90^{\circ} $
  • $ a = b = c $ and $ \alpha = \beta = \gamma \ne 90^{\circ} $
  • $ a \ne b \ne c $ and $ \alpha = \beta = \gamma = 90^{\circ} $
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The Correct Option is B

Solution and Explanation

Answer (b) $ a = b \ne c $ and $ \alpha = \beta = \gamma = 90^{\circ} $
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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.