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Ionic Radii in Fluorite

One calculation of distances or radii in a fluorite structure uses the small cube defined by the four calcium ions that form the tetrahedral geometry about the fluoride ion. These calcium ions lie on opposite corners of a cube. The ion inside the tetrahedron lies at the center of the cube.

The edges of the cube containing a tetrahedron in the CaF2 structure is one half the length of the cell edge.

The ions that form this tetrahedron lie on opposite corners of a cube. We use the cube for calculating distances in the unit cell.

 

 

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