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(CENG151)[2010](f)quiz~2326^_10031.pdf
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Quiz #1 of CENG 151
Introduction to Materials Science and Engineering
September 29, 2010 (Wednesday)
LTC 9:00am - 10:20 am
Name: (Chinese) (English)
Student ID Department
1.
For the following figures (A to J):
(1) Please name the following planes. When you need to move the origin, please indicate where the origin is. (5 points)
(2) Please group the plane family. (5 points)
(3)
Please give out the directions normal to each plane. The normal direction must correspond to your plane name. (10 points)
A B C D (0, ., 0)
[0 1 0]
E F G H
(111)
[111]
I J
(-1, -1/2, 0) (-1, -1, -1)
[-2, -1, 0] [-1, -1, -1]
2.
Please state the reason of the following (6 points):
.
Why in x-ray diffraction experiment we need to rotate the sample?
.
Why in x-ray diffraction experiment we need to use 2 to present the spectrum?
3.
Is the following graph the 2D point lattice? Why? (12 points)
1)
2) 3)
4) 5) 6)
4.
Which members of the <111> family of directions lie within the plane (111)? (12 points)
[111] 1*1+1*1+1*1=3
[-111] -1*1+1*1+1*1=1 If [abc]*(111)=0, then the directions
[1-11] lie within the plane (111)
[11-1]
[-1-11]
[-11-1]
[1-1-1]
[-1-1-1]
5.
Within a cubic unit cell, please answer how many lattice points on the (111) plane for FCC and BCC, respectively? (15 points)
A
B
A
B
B
A
A
B
B
A
A
B
6.
In the cubic system, which are the directions represents the line of intersection between the (110) and (-110) planes? (15 points)
Assume the direction is [abc]
[abc]*[110] =0, a+b=0
[abc]*[-110] =0, -a+b=0
So, a=b=0, c can be any number. Thus, the direction is parallel to z axis [001].
7.
Please sketch the diffraction pattern for a crystal structure with the following parameters. The wave length of the x-ray =0.154 nm, the atomic radius of the crystal is (r=0.128 nm). The crystal packing is FCC. Please sketch the rela