How to calculate lattice constant by xrd spectrum?

To calculate the lattice constant by XRD pattern, we must first determine the cell type of the sample. Using several relatively strong peaks in the pattern, the corresponding K, H, L and the corresponding cell angle are found in the standard diagram, and the corresponding lattice constants are solved by bringing them into the corresponding calculation formula: it is easy to get them by JADE software.

Copper is a face-centered cubic structure, and the simplified diagram is equivalent to a square. There is a circle on each corner, and a circle in the middle is tangent to these four circles, and the diameters of these five circles are all the same, all of which are the diameters of copper, so the side length of this square is its lattice constant.

From the above analysis, it can be concluded that the lattice constant of twice the root number = twice the diameter of copper atom.

Calculated lattice constant = 0.3606 nm.

Extended data:

The lattice in three-dimensional space generally has three lattice constants, which are represented by A, B and C respectively. However, in the special case of cubic crystal structure, these three constants are all equal, so they are only represented by A. Similarly, there is a hexagonal structure, in which two constants A and B are equal, so we only use A and C. A family of lattice constants can also be collectively referred to as lattice parameters. But in fact, a complete lattice parameter should be described by three lattice constants and three included angles.

Baidu encyclopedia-lattice constant