Given that the radius of a metal is 211.79 pm, determine the edge length for a body centered cubic composed of this metal.

Physical Chemistry
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ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter21: The Solid State: Crystals
Section: Chapter Questions
Problem 21.20E
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Given that the radius of a metal is 211.79 pm, determine the edge length for a body centered cubic composed of this metal.

Expert Solution
Step 1

Crystal lattice is defined as the three dimensional arrangement if atoms or ions in a crystal. Various types of crystal lattices exist such as simple cubic, body centered, face centered, edge centered etc.

Step 2

A body centred crystal (bcc)  lattice of metal  is that which contains one atom at body center and eight atoms at the corners of the cube.

The relation between radius of atom (r) and edge length (l) of the crystal is given as:

4
xr
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