Solution Manual for Physical Metallurgy
Principles, 4th Edition, Reza Abbaschian,
Robert E. Reed-Hill
1
© 2010 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, CHAPTER 1 THE STRUCTURE OF METALS
1.1 Determine the direction indices for (a) line om, (b) line on, and (c) line op in the accompanying
drawing of a cubic unit cell.
Solution:
(a) The direction indices for line om are [111].
(b) The vector components of line on, in units of , are , 1 and 0 along the x, y and z axes
respectively. The corresponding direction indices are accordingly [120].
(c) The components of line op are , , and . Thus the indices are [436].
1.2 Determine the direction indices of lines (a) qr, (b) qs, and (c) qt.
2
© 2010 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
Principles, 4th Edition, Reza Abbaschian,
Robert E. Reed-Hill
1
© 2010 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, CHAPTER 1 THE STRUCTURE OF METALS
1.1 Determine the direction indices for (a) line om, (b) line on, and (c) line op in the accompanying
drawing of a cubic unit cell.
Solution:
(a) The direction indices for line om are [111].
(b) The vector components of line on, in units of , are , 1 and 0 along the x, y and z axes
respectively. The corresponding direction indices are accordingly [120].
(c) The components of line op are , , and . Thus the indices are [436].
1.2 Determine the direction indices of lines (a) qr, (b) qs, and (c) qt.
2
© 2010 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
