# Determining radius of an atom, packing efficiency and molar mass

You are the Science Office on the Starship Enterprise. While surveying an uninhabited planet, you find a new mineral containing only one element. X-ray analysis demonstrates that this mineral has a face-centered-cubic arrangement of atoms and an edge of the unit cell of 565.685 pm. The density of this mineral is found to be 11.008 g/mL. Determine the radius of an atom, packing efficiency, and molar mass of this mineral.

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#### Solution Preview

Radius of fcc is given by a = 4r / (2)^0.5 where a is the edge in nm. Hence r = 0.1999 nm

Packing efficiency of fcc ...

#### Solution Summary

The solution determines radius of an atom, packing efficiency and molar mass.

$2.19