1) Metallic copper crystallizes in a face-centered cubic lattice, with one Cu at

Question

1) Metallic copper crystallizes in a face-centered cubic lattice, with one Cu atom per lattice point. If the edge length of the unit cell is found to be 362 pm, what is the metallic radius of Cu in pm?

2) The substance lithium is found to crystallize in a cubic lattice, with an edge length of 346.0 pm. If the density of solid lithium is 0.5565 g/cm3, how many Li atoms are there per unit cell?

Your answer should be an integer:

3)The metal rubidium crystallizes in a body centered cubic unit cell with one atom per lattice point. When X-rays with ? = 1.659

Explanation / Answer

1)

for FCC:

length of face diagonal = sqrt(a^2+a^2)

length of face diagonal = a*sqrt(2)

use:

For FCC Lattice

length of face diagonal = 4*r

a*sqrt(2) = 4*r

362*sqrt(2) = 4*r

362*1.4142 = 4*r

r = 128 pm

Answer: 128 pm

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