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Miller index problem

by Carolyn
Tags: index, miller
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Carolyn
#1
Sep21-08, 03:38 AM
P: 37
Can somebody tell me what is the miller index for the tilted plane?

Is it (102) or (112)?

Nothing seems to fit...

I wonder if we can even describe it with miller index?

Please download the picture here in pdf format:

http://www.megaupload.com/?d=F8J344BH

Thanks!
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Carolyn
#2
Sep21-08, 03:39 AM
P: 37
or see the attached file if you can...
Attached Files
File Type: pdf miller index.pdf (19.1 KB, 58 views)
Mapes
#3
Sep21-08, 10:55 AM
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Every plane has a Miller index. A common way to find the Miller index for a plane in a cubic system is to take the reciprocal of the axis intercepts and normalize the result so it contains only integers. Negative intercepts are treated by putting a bar over the number. For example, the y-intercept in your figure is at -1.

Carolyn
#4
Sep21-08, 12:57 PM
P: 37
Miller index problem

thanks for the reply. But could you explain why is the y intercept for the triangular plane -1? it does not seem to intersect with the y axis?
Mapes
#5
Sep21-08, 03:52 PM
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The plane continues on to infinity; if you follow the line in the y-z plane, you'll see that it (and therefore the plane) intersects the y-axis at -1. Use the same approach for the other axes.
Carolyn
#6
Sep21-08, 04:18 PM
P: 37
um..so are you saying that I can extend the vector so it eventually intersects with the y-axis?

so the miller index should be (1-12)?
Mapes
#7
Sep21-08, 04:28 PM
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Yes; a [itex](1\bar 1 2)[/itex] plane (a member of the family of [itex]\{112\}[/itex] planes), with surface normal vector [itex][1\bar 1 2][/itex] (a member of the family of [itex]\langle 112\rangle[/itex] directions).
Carolyn
#8
Sep21-08, 04:31 PM
P: 37
But, for example, this picture is also (1,-1,2). so are they a family?
Attached Files
File Type: pdf miller.pdf (6.4 KB, 31 views)
Mapes
#9
Sep21-08, 04:32 PM
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More than another member of a family; that's the same plane.
Carolyn
#10
Sep21-08, 04:36 PM
P: 37
ok. I think I am getting it, thanks a lot.


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