The element zirconium (Zr) crystallizes with a Simple Hexagonal unit cell. The density of a zirconium is 6.5 g/cm3. Use this information to calculate the metallic radius of zirconium in picometers (pm). 1 pm = 1×10−12 meters.  You may assume that the dimension c=1.633·a

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Chapter11: States Of Matter; Liquids And Solids
Section: Chapter Questions
Problem 11.83QP
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Many elements crystalize with a unit cell that is hexagonally shaped (6 sided).  The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells.  A hexagonal unit cell is shown below.

 

The cell dimension "a" is twice the radius (r) of the atom.  2r=a.   For most elements the dimension "c" is approximately 1.633×"a".

The element zirconium (Zr) crystallizes with a Simple Hexagonal unit cell. The density of a zirconium is 6.5 g/cm3. Use this information to calculate the metallic radius of zirconium in picometers (pm). 1 pm = 1×10−12 meters.  You may assume that the dimension c=1.633·a

3√3 a²c
2
6 atoms per unit cell
Volume
Transcribed Image Text:3√3 a²c 2 6 atoms per unit cell Volume
3√3 a²c
2
6 atoms per unit cell
Volume
Transcribed Image Text:3√3 a²c 2 6 atoms per unit cell Volume
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