$CsCl$ crystallises in body centred cubic lattice. If 'a' is its edge length, then which of the following expressions is correct?
- $ r_{Cs^+} + r_{Cl^-} = 3a $
- $ r_{Cs^+} + r_{Cl^-} = \frac{3a}{2} $
- $ r_{Cs^+} + r_{Cl^-} = \frac{\sqrt 3}{2} a $
- $ r_{Cs^+} + r_{Cl^-} = \sqrt 3 a $
The Correct Option is C
Solution and Explanation
$2 r _{ Cl ^{-}}+2 r _{ Cs ^{+}}=\sqrt{3} a $
$r _{ Cl ^{-}}+ r _{ Cs ^{+}}=\frac{\sqrt{3} a }{2}$
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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.