Difference between revisions of "Form Factor:Octahedron"

From GISAXS
Jump to: navigation, search
(Created page with "==Equations== For a regular octahedron of edge-length 2''R'' * Volume <math>V_{oct} = \frac{8 \sqrt{2} }{3} R^3</math> * Projected (''xy'') surface area <math>Sp = 4R^2</math>...")
(No difference)

Revision as of 16:59, 13 June 2014

Equations

For a regular octahedron of edge-length 2R

  • Volume Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V_{oct} = \frac{8 \sqrt{2} }{3} R^3}
  • Projected (xy) surface area Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Sp = 4R^2}
  • Surface area Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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.