You did not calculate any specific values for the lattice spacings if you do you'll see they are the same. Try to calculate the first 5 peaks, for example.Yair Galili said:
The FCC (face-centered cubic) structure factor is a mathematical representation of the diffraction pattern produced by a crystal with a FCC crystal structure. It is used to analyze the arrangement of atoms in a crystal lattice and determine the spacing between the lattice planes.
The FCC structure factor is calculated by taking the Fourier transform of the lattice points in the crystal. This involves summing up the contributions from each atom in the crystal and taking into account the phase difference between the scattered waves.
Bragg's law is a fundamental principle in X-ray crystallography that relates the angle of incidence of a beam of X-rays to the spacing between crystal planes. The FCC structure factor is used to determine the intensity of the diffraction peaks in a Bragg diffraction pattern, which can then be used to calculate the lattice spacing.
Studying the FCC structure factor can provide valuable information about the arrangement of atoms in a crystal lattice, including the size and spacing of the unit cell, the symmetry of the lattice, and any defects or imperfections present in the crystal. It can also reveal information about the physical and chemical properties of the material.
The FCC structure factor is used extensively in materials science and engineering to analyze the crystal structure of various materials, including metals, ceramics, and semiconductors. It is also used in X-ray diffraction techniques to identify and characterize unknown crystalline materials. Additionally, it is used in the development and design of new materials with specific properties, such as high strength or electrical conductivity.
