The radius of the sphere that will fit the octahedral hole needs to be determined. Concept Introduction: The closest packing structures are explained as most space-efficient and regularly packed structures. This is usually seen in crystals where lattice gives the closest packed structures. In the cubic closest packing, the layers of the closest packed spheres are arranged in such a way that every third layer is laying over one another. A unit cell is defined as the mallest repeating portion in the crystal lattice. There are different types of holes in the crystal lattice of the closed packed structure of the solid. These holes are also known as voids and they are of two types: tetrahedral and octahedral. In the cubic lattice, the lattice sites are occupied by anions. The number of the tetrahedral holes is equal to the 2 times the number of the lattice sites.

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Chapter 16, Problem 145CP

Interpretation Introduction

Interpretation: The radius of the sphere that will fit the octahedral hole needs to be determined.

Concept Introduction: The closest packing structures are explained as most space-efficient and regularly packed structures. This is usually seen in crystals where lattice gives the closest packed structures. In the cubic closest packing, the layers of the closest packed spheres are arranged in such a way that every third layer is laying over one another. A unit cell is defined as the mallest repeating portion in the crystal lattice. There are different types of holes in the crystal lattice of the closed packed structure of the solid. These holes are also known as voids and they are of two types: tetrahedral and octahedral. In the cubic lattice, the lattice sites are occupied by anions. The number of the tetrahedral holes is equal to the 2 times the number of the lattice sites.

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