1) Calculate the percentage of empty space in a simple, body-centered, and face-centered cubic unit cell using geometry and algebra without substituting any values for atomic radius (r) or cell length (a). The volume of a sphere is 4πr3 3 Hint: Express "a" as a function of "r." The variable "r" will cancel out when you calculate the volume of "atoms" in the cell to give a number which is the fraction of occupied space. The rest of the space is empty.

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter9: Liquids, Solids, And Materials
Section: Chapter Questions
Problem 115QRT
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1) Calculate the percentage of empty space in a simple, body-centered, and face-centered
cubic unit cell using geometry and algebra without substituting any values for atomic radius
(r) or cell length (a). The volume of a sphere is
4πr3
3
Hint: Express "a" as a function of "r." The variable "r" will cancel out when you calculate
the volume of "atoms" in the cell to give a number which is the fraction of occupied space.
The rest of the space is empty.
Transcribed Image Text:1) Calculate the percentage of empty space in a simple, body-centered, and face-centered cubic unit cell using geometry and algebra without substituting any values for atomic radius (r) or cell length (a). The volume of a sphere is 4πr3 3 Hint: Express "a" as a function of "r." The variable "r" will cancel out when you calculate the volume of "atoms" in the cell to give a number which is the fraction of occupied space. The rest of the space is empty.
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