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 21.59E
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Question
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![Equations 7.1a and 7.1b, expressions for Burgers vectors for FCC and BCC crystal structures, are of the form
b = uvw)
where a is the unit cell edge length. Also, since the magnitudes of these Burgers vectors may be determined from the following
equation:
1/2
+ v? + w²)"
determine values of |b| for aluminum and chromium. You may want to consult Table 3.1.
Part 1
Incorrect. Review Section 3.4 and Example Problem 3.1. It may help you to review your homework from Chapter 3.
Review the relationships between the unit cell length and the atomic radius.lf you are having difficulty with this
problem, you may wish to review: Solving Equations, Equations, Symbols and Units, Review of 2D and 3D Geometry.
What is a, the unit cell length, in nm, for aluminum?
a =
i
nm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ea503b5-9839-4a05-b482-50f8a035eb54%2F4ac0a426-2ae5-4ad1-94d1-556e95d83e74%2Fah54unm_processed.png&w=3840&q=75)
Transcribed Image Text:Equations 7.1a and 7.1b, expressions for Burgers vectors for FCC and BCC crystal structures, are of the form
b = uvw)
where a is the unit cell edge length. Also, since the magnitudes of these Burgers vectors may be determined from the following
equation:
1/2
+ v? + w²)"
determine values of |b| for aluminum and chromium. You may want to consult Table 3.1.
Part 1
Incorrect. Review Section 3.4 and Example Problem 3.1. It may help you to review your homework from Chapter 3.
Review the relationships between the unit cell length and the atomic radius.lf you are having difficulty with this
problem, you may wish to review: Solving Equations, Equations, Symbols and Units, Review of 2D and 3D Geometry.
What is a, the unit cell length, in nm, for aluminum?
a =
i
nm
![Metal
Crystal Structure ª Atomic Radiusº (nm) Metal
Crystal Structure Atomic Radius (nm)
Aluminum FCC
0.1431
Molybdenum BCC
0.1363
Cadmium HCP
0.1490
Nickel
FCC
0.1246
Chromium BCC
0.1249
Platinum
FCC
0.1387
Cobalt
НСР
О.1253
Silver
FCC
0.1445
Сopper
FCC
0.1278
Tantalum
ВСС
0.1430
Gold
FCC
0.1442
Titanium (a) HCP
0.1445
Iron (a)
ВСС
0.1241
Tungsten
ВСС
0.1371
Lead
FCC
О.1750
Zinc
НСР
0.1332](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ea503b5-9839-4a05-b482-50f8a035eb54%2F4ac0a426-2ae5-4ad1-94d1-556e95d83e74%2Ftxb541o_processed.png&w=3840&q=75)
Transcribed Image Text:Metal
Crystal Structure ª Atomic Radiusº (nm) Metal
Crystal Structure Atomic Radius (nm)
Aluminum FCC
0.1431
Molybdenum BCC
0.1363
Cadmium HCP
0.1490
Nickel
FCC
0.1246
Chromium BCC
0.1249
Platinum
FCC
0.1387
Cobalt
НСР
О.1253
Silver
FCC
0.1445
Сopper
FCC
0.1278
Tantalum
ВСС
0.1430
Gold
FCC
0.1442
Titanium (a) HCP
0.1445
Iron (a)
ВСС
0.1241
Tungsten
ВСС
0.1371
Lead
FCC
О.1750
Zinc
НСР
0.1332
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