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?

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter21: The Solid State: Crystals
Section: Chapter Questions
Problem 21.32E: Consider Figure 21.21. If the lower rightmost corner of the unit cell were selected arbitrarily as...
icon
Related questions
Question

please solve question 1

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)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Crystal Lattices and Unit Cells
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physical Chemistry
Physical Chemistry
Chemistry
ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,