.A unit cell of an element of atomic mass 108 m and density 10.5 g per cm³ has edge length 409 pm. find the structure of the crystal lattice?
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Answer:
We know that,
Density-
d=
a
3
×NA
Z×M
Given :
Molar Mass(M)=108g/mol
Density (d)=10.5g/cm
3
Edge Length(a)=409pm
Z=
M
d×a
3
×N
A
Value of N
A
is N
A
=6.023×10
23
Z=
108
10.5×(409×10
−10
cm
3
)
3
×6.023×10
23
=4
Number of atoms =4
Hence the element is packed in FCC structure.
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