Form Factor:Octahedron

Equations

For a regular octahedron of edge-length 2R

• Volume $V_{oct}={\frac {8{\sqrt {2}}}{3}}R^{3}$
• Projected (xy) surface area $Sp=4R^{2}$
• Surface area $S_{oct}=8{\sqrt {3}}R^{2}$

Pyramid

The Octagon shaped can be considered to be formed from two square-based pyramids. Similarly the form factor can be computed from appropriate summation of two pyramid form factors.

See Also

• The chord-length probability density of the regular octahedron S. Ciccariello J. Appl. Cryst. 2014, 47 doi: 10.1107/S1600576714011121