Discussion Overview
The discussion revolves around determining the correct Miller index for a tilted plane, specifically whether it is (102) or (112). Participants explore the methodology for calculating Miller indices and the implications of intercepts on the axes.
Discussion Character
- Technical explanation
- Debate/contested
Main Points Raised
- One participant questions the Miller index for a tilted plane, suggesting uncertainty about whether it is (102) or (112).
- Another participant asserts that every plane has a Miller index and describes the method for finding it in a cubic system, including the treatment of negative intercepts.
- A participant challenges the assertion regarding the y-intercept, asking for clarification on why it is considered -1 when the plane does not seem to intersect the y-axis.
- In response, another participant explains that the plane extends to infinity and intersects the y-axis at -1, suggesting to apply the same reasoning to other axes.
- A participant seeks confirmation on whether extending the vector to intersect the y-axis implies the Miller index should be (1-12).
- One participant confirms that the plane can be represented as (1\bar 1 2) and belongs to the family of \{112\} planes.
- Another participant questions if (1,-1,2) represents the same plane, prompting a clarification that they are indeed the same plane.
Areas of Agreement / Disagreement
Participants express differing views on the correct Miller index, with some supporting (1\bar 1 2) while others suggest (102) or (112). The discussion remains unresolved regarding the definitive identification of the Miller index.
Contextual Notes
There are limitations in the discussion regarding the assumptions made about the intercepts and the interpretation of the plane's geometry, which may affect the determination of the Miller index.