Problem

Topical Questions These questions are keyed to the major topics in the chapter. Usually...

Topical Questions

These questions are keyed to the major topics in the chapter. Usually a question that is answered at the back of this book is paired with a similar one that is not.

Metallic lithium has a body-centered cubic structure, and its unit cell is 351 pm along an edge. Lithium iodide has the same crystal lattice structure as sodium chloride. The cubic unit cell is 600 pm along an edge.

(a) Assume that the metal atoms in lithium touch along the body diagonal of the body-centered cubic unit cell, and estimate the radius of a lithium atom.

(b) Assume that in lithium iodide the I- ions touch along the face diagonal of the cubic unit cell and that the Li+ and I- ions touch along the edge of the cube; calculate the radius of an I- ion and of an Li+ ion.

(c) Compare your results in parts (a) and (b) for the radius of a lithium atom and a lithium ion. Are your results reasonable? If not, how could you account for the unexpected result? Could any of the assumptions that were made be in error? Explain.

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