Question:

The cubic unit cell structure of a compound containing cation $M$ and anion $X$ is shown below When compared to the anion, the cation has smaller ionic radius Choose the correct statement(s)
 cubic unit cell structure of a compound

Updated On: May 13, 2024
  • The empirical formula of the compound is $M X$
  • The cation $M$ and anion $X$ have different coordination geometries
  • The ratio of $M-X$ bond length to the cubic unit cell edge length is $0.866$
  • The ratio of the ionic radii of cation $M$ to anion $X$ is $0.414$
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The Correct Option is A, C

Solution and Explanation

(A) The empirical formula of the compound is $M X$
(C) The ratio of $M-X$ bond length to the cubic unit cell edge length is $0.866$
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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.