Question

for simple cubic crystal, find the interplanner distances between the planes which has Miller indices (2,2,1). here lattice constant is a.​

Answer 1

When atoms form themselves into lattice structures, as they do in metals, ionic solids and crystals, you can think of them as making geometrical shapes, such as cubes and tetrahedrons. The actual structure a particular lattice assumes depends on the sizes, valencies and other characteristics of the atoms forming it. Interplanar spacing, which is the separation between sets of parallel planes formed by the individual cells in a lattice structure, depends on the radii of the atoms forming the structure as well as on the shape of the structure. There are seven possible crystal systems, and within each system are a number of subsystems, making for a total of 14 different lattice structures. Each structure has its own formula for calculating interplanar spacing