Chapter 15, Problem 15.1DQ

Interpretation Introduction

Interpretation:

It should be explained that how the planes of lattice points are labelled.

Concept introduction:

Crystal structure: Crystal structure is arrangement of group of atoms or ions or molecule in the crystalline material.

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point.  Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Each sphere represents an atom, ion or molecule called a lattice point.

A Miller index is a series of coprime integers that are inversely proportional to the intercepts of the crystal face or crystallographic planes with the edges of the unit cell. The vectors and atomic planes in a crystal lattice can be described by a three value Miller index notation (hkl)