What is the Diameter of an Iridium Atom in Angstroms?

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The discussion centers on calculating the diameter of an iridium atom using its density and atomic weight. Iridium has a face-centered cubic (fcc) structure, and participants suggest using Avogadro's Number to determine the number of atoms per cubic centimeter. The conversation emphasizes the relationship between the lattice parameter and atomic diameter, with calculations involving the molar mass and density. There is confusion regarding the conversion of density into appropriate units and the significance of the calculated quantity. The thread seeks clarity on the correct approach to derive the atomic diameter in angstroms.
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Iridium has a face-centered cubic unit cell. The density of iridium is 22.61 grams per centimeter cubed. What is the diameter, in angstroms, of the iridium atom ?

Atomic weight of Iridium = 192.1
 
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What work have you done.

With the information given and Avogadro's Number, one can find the number of atoms of iridium in one cubic cm.

Think how the atoms are arraged in the fcc lattice and how the lattice parameter relates to the atomic diameter (or radius).
 
wouldnt u just divide the molar mass by 6.022 X 10^23 and times it by 4 since the fcc is made like that. After that I have no clue. Dont I have to convert density into g/angstroms?? Please help with this equation, I am going crazy over this.
 
parwana said:
wouldnt u just divide the molar mass by 6.022 X 10^23 and times it by 4 since the fcc is made like that.
So far, this is correct. But what quantity is it that you have calculated by doing this ?

ie : What quantity does 4* \frac{molar~ mass}{6.022 \cdot 10^{23}} describe ?
 
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