For Beryllium (Be):
For Silicon (Si):
For Copper (Cu):
For Magnesium (Mg):
As it appears the average deviation of the curves (calculated by the analytic expression, using the 9- parameters of Don Cromer and Mann) from the true curves gained from the Hartree charge distribution calculations is very small.
Results for the structure factor calculations:
Here are presented the illustrations of the reciprocal lattices. The red spheres represent those places where the structure factor turns zero.
For Chromium (Cr):
Cromium has a bcc (body-centered cubic) structure; its diffraction spectrum does not contain lines such as (100), (300), (111), or (221), but lines such as (200), (110), and (222) will be present; here the planes are referred to a cubic unit cell.
For Aluminium (Al):
Aluminium has a fcc (face-centered cubic) structure; its diffraction spectrum lacks the lines such as (110), (001).
For Silicon (Si):
For Silicon whose structure is of a diamond the lines such as (002), (011) are absent.
For Beryllium (Be):
Beryllium has a hcp structure (hexagonal close packed), the lines such as (001), (100) do not exist.
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