Crystal Analysis

In materials science, when discussing issues related to crystal growth, deformation, and solid-state phase transitions, it is often about the position of the atoms in the crystal, the orientation of the atomic columns, and the plane of the atoms. We will refer to the direction of each node column in the space lattice as the direction of the arrangement of atoms in the crystal, which is called the crystal direction; The plane passing through any set of lattices in the space lattice represents the atomic plane in the crystal, called the crystal plane.

The lattice points of a lattice can be thought of as being arranged on a series of parallel, equidistant linear lines called crystal lines. An infinite lattice can have an infinite variety of crystal columns. Crystal direction index: take any lattice point from the straight line of the crystal column through the origin of the axial vector coordinate system, and index the lattice point into a coprime integer, called the crystal direction index, expressed as [h,k,l].

We call the atomic plane (plane) that passes through the crystal the crystal plane, which represents the atomic plane in a certain orientation within the crystal. The symbol that indicates the spatial orientation of the crystal plane within the crystal is called the crystal plane index. The straight direction of any column of atoms in the connecting crystal is called crystal direction, which represents the direction of the arrangement of atoms in the crystal. The symbol that indicates the direction of the crystal in space within the crystal is called the crystal direction index.

Then different crystal planes and crystal directions have different atomic arrangements and different orientations, so many properties, mechanical behaviors, physical properties, etc. of materials are related to crystal planes and crystal directions.