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lead crystallizes in a face-centered cubic unit cell with an edge length of 495.08 pm. calculate the density of the metal.

Sagot :

The density of the metal with an edge length of 495.08pm is 549.06pm

Lead crystallizes with FCC lattice, Z = 4

√2a  = 4r

r = 175.01pm

The density is given as:-

D=ZM/N0(a3) =5.616

Edge length a=404.91pm

For a BCC lattice, the 3D diagonal (l) and edge length (a) is related as:-

l=√3al=1.732×317=549.06pm

The density (d) of a crystal depends on the number of atoms occupying each unit cell, the mass of each atom (m), and the edge length of the unit cell (a). There are three types of cubic lattices,

1. Simple Cubic

2. Body centered

3. Face centered

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