Solution Manual for Physical Metallurgy Principles, 4th Edition

Solution Manual for Physical Metallurgy Principles, 4th Edition 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. 3 © 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. Solution: (a) The direction indices of line qr are [001]. (b) The direction indices of line qs are [101]. (c) The direction indices of line qt along the x, y and z axes are , , and , yielding the indices 1.3 In this figure, plane pqr intercepts the x, y, and x axes as indicated. What are the Miller indices of this plane? Solution: The intercepts of plane pqr with the three axes are , , and with the reciprocals , , and , so that the Miller indices of the plane are (12 8 9).