Aluminum (atomic radius-0.143 nm) crystallizes with a face-centered cubic unit c

Question

Aluminum (atomic radius-0.143 nm) crystallizes with a face-centered cubic unit cell. What is the length of a side of the cell? 15) 16) Potassium iodide has a unit cell similar to that of sodium chloride. The ionic radii of K' and I are 0.133 nm and 0.216 nm, respectively. How long is a) one side of the cube? b) the face diagonal of the cube? For a cell of the CsCl type, how much is the length of one side of the cell, s, related to the sum of the radii of the ions IctoTanion? 17) Iron crystallizes in a body-centered unit cell. Its atomic radius is 0.124 nm. Its density is 7.86 problem as we did in the "Avogadro's Number" Lab experiment) 18) e/cm, Using this information, estimate Avogadro's number. (hint: same

Explanation / Answer

15)

for FCC:

length of face diagonal = a*sqrt(2)

this is equal to 4*r

so,

4*r = a*sqrt(2)

4*0.143 nm = a*sqrt(2)

a = 0.404 nm

Answer: 0.404 nm

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