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Crystal Structures and Properties, Schemes and Mind Maps of Material Engineering

A series of homework problems related to calculating atomic radii, unit cell volumes, theoretical and experimental densities, crystal structures, and indices for various metals. It also includes tasks for sketching directions and converting miller-bravais indices for hexagonal unit cells.

Typology: Schemes and Mind Maps

2023/2024

Uploaded on 04/21/2024

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3 documents

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Page 1
1
Core Problems:
Self-help Problems:
HW
Read Chapter 3
HW from book:
3.2
3.3
3.7
3.8
3.13
3.20
3.25 (Skip 2023)
3.27 (Use matlab to plot the indice, given a=1, b=2, c=3)
3.29 (Use matlab to calculate and plot both indices)
3.30 (Use matlab to plot at least 3 indices)
3.31
3.34, 3.39, 3.50
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Page 1 1

Core Problems:

Self-help Problems:

HW

Read Chapter 3 HW from book:

3.25 (Skip 2023) 3.27 (Use matlab to plot the indice, given a=1, b=2, c=3) 3.29 (Use matlab to calculate and plot both indices) 3.30 (Use matlab to plot at least 3 indices)

Page 2 2

Core Problems:

Self-help Problems:

3.2 If the atomic radius of aluminum is 0.143 nm,

calculate the volume of its unit cell in cubic meters

4.8996e-

Page 4 4

Core Problems:

Self-help Problems:

3.7 Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute and compare its theoretical density with the experimental value found inside the front cover 4.8996e-

Page 5 5

Core Problems:

Self-help Problems:

3.8 Calculate the radius of an iridium atom, given that Ir has an FCC crystal structure, a density of 22.4 g/cm3 , and an atomic weight of 192.2 g/mol 4.8996e-

Page 7 7

Core Problems:

Self-help Problems:

3.20 The accompanying figure shows a unit cell for a hypothetical metal. (a) To which crystal system does this unit cell belong? (b) What would this crystal structure be called? (c) Calculate the density of the material, given that its atomic weight is 141 g/mol. 4.8996e-

Page 8 8 4.8996e-

Page 10 1 0 4.8996e-

Page 11 1 1 3.30 Within a cubic unit cell, sketch the following directions: 4.8996e-

Page 13 1 3

Convert the [100] and [111] directions into the four-index

Miller–Bravais scheme for hexagonal unit cells.

4.8996e-

Page 14 1 4

3.39 What are the indices for the two planes drawn in the

following sketch?

4.8996e- Plane 1 : Because plane 1 is // with oxz plane so it will be

[0 2 0]

Plane 2 : +) Intercepts in terms of a, b, and c is x = 1/ Y= -1/2 , z = 1

Reciprocals of intercepts x = 2, y= -2, z=

plane 2 is [2,-2,1]