
Concept explainers
(a)
Show the direction
(a)

Explanation of Solution
Show the direction vector in the FCC unit cell for the cubic direction
Position coordinates:
For the cubic direction
Repeat distance:
For the cubic direction
(b)
Show the direction vector in a FCC unit cell for the cubic direction
(b)

Explanation of Solution
Show the direction vector in the FCC unit cell for the cubic direction
Position coordinates:
For the cubic direction
Repeat distance:
For the cubic direction
(c)
Show the direction vector in a FCC unit cell for the cubic direction
(c)

Explanation of Solution
Show the direction vector in the FCC unit cell for the cubic direction
Position coordinates:
For the cubic direction
Repeat distance:
For the cubic direction
(d)
Show the direction vector in a FCC unit cell for the cubic direction
(d)

Explanation of Solution
Show the direction vector in the FCC unit cell for the cubic direction
Position coordinates:
For the cubic direction
Repeat distance:
For the cubic direction
(e)
The angle between the direction vectors
(e)

Answer to Problem 30AAP
The angle between the direction vectors
Explanation of Solution
Write the expression to calculate angle between the direction vectors
Here, Miller indices of the cubic plane 1 are
Conclusion:
Substitute 1 for
Thus, the angle between the direction vectors
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Chapter 3 Solutions
Foundations of Materials Science and Engineering
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