Question:

In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion $(Ca^{2+})$ and fluoride ion $(F^-)$ are

Updated On: Apr 20, 2025
  • 4 and 2
  • 6 and 6
  • 8 and 4
  • 4 and 8
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The Correct Option is C

Solution and Explanation

Calcium Fluoride Crystal Structure 

Calcium fluoride crystallizes in a Face-Centered Cubic (FCC) unit cell with an edge length of \(5.463\) Angstroms. The unit cell structure consists of:

  • Calcium cations (\(Ca^{2+}\)) in blue, which occupy the FCC lattice sites.
  • Fluoride anions (\(F^{-}\)) in green, occupying all tetrahedral sites.

The fluoride anions are surrounded by 4 calcium cations, which are arranged at the vertices of a tetrahedron, creating a tetrahedral coordination geometry. The calcium cations have 8 fluoride anions as neighbors, arranged at the corners of a smaller cube.

The \(Ca: F\) coordination ratio is \(8: 4\) or \(2: 1\), meaning for every two calcium cations, there is one fluoride anion.

In \(CaF_{2}\), the coordination number of \(Ca^{+2}\) is 8, as each calcium ion is surrounded by 8 fluoride ions in the structure.

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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.