Question:
In chromium chloride $ {(CrCl_{3}), Cl^{-}}$ ions have cubic close packed arrangement and $ {Cr^{3+}}$ ions are present in the octahedral holes. The fraction of the total number of holes occupied is
In chromium chloride $ {(CrCl_{3}), Cl^{-}}$ ions have cubic close packed arrangement and $ {Cr^{3+}}$ ions are present in the octahedral holes. The fraction of the total number of holes occupied is
Updated On: Jul 6, 2022
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The Correct Option is C
Solution and Explanation
In $CrCl_{3}$ for every, $3Cl^{-}$ ions, there is one $Cr^{3 +}$ ion is present.
Thus, if there are $3Cl^{-}$ ions are present in CCP.
Number of octahedral voids = 3, and tetrahedral voids = 6
Total voids = 3+6=9
As $1 \, Cr^{3 +}$ ion is present in the octahedral void, therefore, fraction of holes occupied $=\frac{1}{9}$
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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.