crystal plane

In crystallography, a crystal plane refers to a flat surface within a crystal's ordered atomic structure. These planes are crucial for understanding a crystal's geometry and properties.12

To describe the orientation of these planes, crystallographers use Miller indices. These are a set of three numbers (hkl) derived from the reciprocals of the intercepts a crystal plane makes with the crystallographic axes. For instance, a plane cutting all three axes at one unit length has indices (111). This system, devised by William Hallowes Miller, provides a concise way to denote the orientation of planes within a crystal lattice. Crystallography itself is the science dedicated to studying the arrangement of atoms in crystalline solids and their geometric structures.3415