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Chapter 11: Problem 37

What is the coordination number of each sphere in (a) a simple cubic cell, (b) a body-centered cubic cell, and (c) a face- centered cubic cell? Assume the spheres are all the same.

Short Answer

Expert verified
The coordination number for a simple cubic cell is 6, for a body-centered cubic cell it's 8, and for a face-centered cubic cell it's 12.

Step by step solution

01

Coordination Number for Simple Cubic Cell

In a simple cubic cell, each sphere (i.e., atom or ion) is surrounded by 6 other spheres. Hence, the coordination number is 6. These spheres are located top, bottom, left, right, front and back respectively.
02

Coordination Number for Body-centered Cubic Cell

In a body-centered cubic cell, one sphere in the center is surrounded by 8 other spheres located at the corners of the cube. Hence, the coordination number is 8.
03

Coordination Number for Face-centered Cubic Cell

In a face-centered cubic cell, each sphere is surrounded by 12 other spheres. These spheres are located at the centers of each of the faces and at the corners of the cube. Hence, the coordination number is 12.

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