Find the structure factor SG of NaCl structure in terms of atomic form factors f Na and f ct and find when the reflection is allowed (maximum intensity) and when is no reflection. The coordinates of Na and Cl atoms are as follow: CI: (0,0,0), 1.0), (0) (0) Na : ), (0, 0,3), (0, 0), (,0,0)

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
Problem 42P
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please solve question 3

Q1
a) What is the meaning of the packing fraction?
b) Find the packing fraction of fee and bee lattices that have dimensions of a.
c) What are the types of lattices in three dimensions?
Q2
The primitive translation vectors of the hexagonal space lattice maybe taken as
32a
32α
2
2
Q3)
a₁ =
2+ 9.
A₂=-
2+
a3 = cz
a) Find the volume of the primitive cell of hcp structure.
b) Find the primitive vectors (bi, b2, b3) of the reciprocal lattice of the hep structure.
c) Describe and sketch the first Brillouin zone of the hexagonal lattice.
Find the structure factor SG of NaCl structure in terms of atomic form factors f Na and f ct
and find when the reflection is allowed (maximum intensity) and when is no reflection.
The coordinates of Na and Cl atoms are as follow:
CI: (0, 0, 0), 1.0), 1.0), (0
Na :), (0, 0,), (0, 0), (,0,0)
Transcribed Image Text:Q1 a) What is the meaning of the packing fraction? b) Find the packing fraction of fee and bee lattices that have dimensions of a. c) What are the types of lattices in three dimensions? Q2 The primitive translation vectors of the hexagonal space lattice maybe taken as 32a 32α 2 2 Q3) a₁ = 2+ 9. A₂=- 2+ a3 = cz a) Find the volume of the primitive cell of hcp structure. b) Find the primitive vectors (bi, b2, b3) of the reciprocal lattice of the hep structure. c) Describe and sketch the first Brillouin zone of the hexagonal lattice. Find the structure factor SG of NaCl structure in terms of atomic form factors f Na and f ct and find when the reflection is allowed (maximum intensity) and when is no reflection. The coordinates of Na and Cl atoms are as follow: CI: (0, 0, 0), 1.0), 1.0), (0 Na :), (0, 0,), (0, 0), (,0,0)
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