Imagine a coordination polyhedron with a cation at the center. Now treat the ions as hard spheres

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Imagine a coordination polyhedron with a cation at the center. Now treat the ions as hard spheres and reduce the size of the cation until the anions just touch. What is the radius r of the cation for anions of unit radius in the following coordinations: 

(a) Cube, 

(b) Octahedron,

(c) Tetrahedron. 

Body diagonal is √3 and face diagonal √2 times the cube edge.

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Solid State Materials Chemistry

ISBN: 9780521873253

1st Edition

Authors: Patrick M. Woodward, Pavel Karen, John S. O. Evans, Thomas Vogt

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