Problem:(adsbygoogle = window.adsbygoogle || []).push({});

A)

In a simple cubic arrangement the atoms sit at the corners of imaginary cubes with their curved surfaces just touching. Show that the ratio of filled space to empty space between the atoms is pi/6 or about 0.5. This "packing fraction" is related to the density of the material. The volume of a sphere of radius r is 4/3 pi r³.

B)

If the atoms in the simple cubic arrangement in part A have diameter d, show that largest impurity atom that can just fit in between the host atoms has a diameter of 0.4d.

Please Help! I don't understand how to approach this Question!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Atoms - Packing fraction

**Physics Forums | Science Articles, Homework Help, Discussion**