We
need to know the structure factor F
for the lattice. For a primitive cell, the scattering
from the whole unit cell (given by the structure factor
F),
is the same as the scattering from one single atom (given
by the atomic scattering factor f).
The scattering from each atom in the unit cell can be described
as:
- (where f is the scattering factor for a
single atom and f is the phase of the wave with respect to the
wave scattered from the origin of the cell. )
If diffraction occurs from the (hkl)
plane, then the phases are such that scattering from an atom n at cell position uvw
can be given by:
The structure factor F is given by
summing the scattering from all the atoms of the unit cell:
Use these relationships to determine the values of the exponential:
- The structure factor is also important since the intensity of the beam diffracted by
all the atoms of the unit cell is proportional to |F|2.
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