Structure.homework #1-answer

Structure.homework #1-answer - MTLE-2100 Structure of...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MTLE- 2100 Structure of Engineering Materials, Homework # 1--Answer 1. Assume zone axis [h k l]. For the three planes to belong to this zone, the dot product between the zone axis and the plane normal has to be perpendicular. Therefore, for ) 00 1 ( - h = 0 ……. .(1) ) 11 3 ( - 3h + k + l = 0 ……. .(2) ) 2 3 1 ( - h - 3k + 2l = 0 ……. .(3) From (1) h = 0. Substituting to (2) and (3) k = - l and 3k = 2l. The only solution is [000]. The three planes do not belong to a zone axis. 2. c/a in hexagonal Triangular pyramid shape. 2x height of the pyramid = c, 2r = a. From the corner to the center of the triangle = 2r/ 3 (2r) 2 = h 2 + (2r/ 3) 2 h = 4r 2 -4r 2 /3 = 2r 2/3 c =2h = 4r 2/3 c/a = (4r 2/3)/2r = 2 2/3 = 1.633 3. FCC 4 atoms/unit cell 4 octahedral sites: one in body-center, one on 12 edges, each shared by four unit cells—(1/4)x 12 = 3. Total 12 sites. 8 tetrahedral sites—behind 8 corners. HCP
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 2

Structure.homework #1-answer - MTLE-2100 Structure of...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online