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Tetrahedral Sites in Cubic Cell

I am having trouble with the whole problem. Calculating the distance between tetrahedral sites and drawing the unit cell and whether the tetrahedra share vertices, edges or faces.

The actual problem is attached.

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Solution Summary

This solution provides a detailed explanation about tetrahedral sites in a cubic cell. The solution includes calculations of distances the tetrahedral sites, pictures of unit cells and tetrahedral sites, and description of vertices, edges, and faces on the sites.