Sketching the [0-1-1] Direction and Its Relationship to {110} and {111} Planes

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Homework Help Overview

The discussion revolves around understanding the relationship between the [0-1-1] direction and the {110} and {111} planes in the context of crystallography and Miller indices. Participants are attempting to sketch the specified direction and identify the relevant planes it intersects.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about the second part of the question regarding the relationship between the direction and the planes. There are attempts to clarify the requirements of the question and to understand the implications of parallel planes sharing the same indices. Some suggest that sketching the direction is straightforward, while the identification of the planes remains unclear.

Discussion Status

The discussion is ongoing, with multiple participants questioning the clarity of the problem statement and exploring different interpretations. Some guidance has been offered regarding the sketching aspect, but consensus on the second part of the question has not been reached.

Contextual Notes

Participants note that the question may not have been adequately covered in class, leading to confusion, especially with an upcoming test. There is mention of additional parts to the question that further complicate the understanding of the topic.

JSBeckton
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I'm not exactly sure what to do here after I find the direction, can anyone help me out? Thanks:

Sketch the [tex] \left[ {0\overline 1 1} \right][/tex] direction. Which {110} and {111} plane(s) does it lie in?
 
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That is a poorly worded question. I can't remember being asked a question like that with regard to miller indicies. It's pretty obvious to get the direction, but I really don't understand what they are looking for in the second part either. Unless they are eluding to the notion that parallel planes have the same indicies...Maybe a read of this thread may help. Astronuc is the man!

https://www.physicsforums.com/showthread.php?threadid=92257
 
The sketching part is simple. Draw a cartesian coordinate system and use the definitions of the indices. I can't understand the second question either.
 
I don't understand it either and my test is on monday! (this is a practice test) There is a 3rd part that's kinda confusing too, he did not do any of this stuff in class:

What are the indices of the four directions of the form <111> that lie in the [tex] \left( {\overline 1 01} \right)[/tex] plane of a cibic cell?
 

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