Plane Indices: An Interesting Debate

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Discussion Overview

The discussion revolves around the determination of Miller indices for a specific plane, with participants sharing varying interpretations and calculations. The scope includes theoretical understanding and practical application of Miller indices in crystallography.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants note that the origin can be placed at any lattice point, which affects the calculation of Miller indices.
  • One participant expresses uncertainty about the correct indices, mentioning specific intercept values and questioning the implications of a zero intercept.
  • Another participant suggests that if the plane passes through the origin, all intercepts would be zero, complicating the identification of the plane.
  • A different viewpoint is presented that Miller indices are outdated and not commonly used in modern condensed matter physics.
  • There is a challenge to the dismissive attitude towards Miller indices, indicating a disagreement on their relevance.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct Miller indices for the plane in question, and multiple competing views regarding the placement of the origin and the relevance of Miller indices are evident.

Contextual Notes

There are unresolved assumptions regarding the placement of the origin and its impact on the calculation of Miller indices, as well as differing opinions on the utility of Miller indices in contemporary contexts.

Shriphysics
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Hi Guys,
What are the milled indices of plane (see attached figure). Its very interesting...and I am receiving every-time different answer from others.
Have a look.

Shriphy
 

Attachments

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    MI.jpg
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Remember you can put the origin at any lattice point.
 
Bravo Johng23,
Your answer is perfect...I was checking all suggestion by inserting values on the link http://www.doitpoms.ac.uk/tlplib/miller_indices/lattice_draw.php
but no value was leading for this plane except yours.
But still I can't say that I got it 100%. Here x intercept is 1, y intercept is 0 and z is 1/2. So according to definition Miller indices should be reduced reciprocal of intercept...then what about x intercept...which should not be 0??
correct me please
 
Hi Johng23,
I got that if we consider origin at b=1 on given y-axis point then indices are as you said...but if we consider origin at some other points (suppose a=1 on x axis) then answer will be different. Kindly is there any idea rule to consider origin??
In any case thanks for your consideration.

shriphy

Shriphy
 
It the plane goes through the origin, every intercept is zero. That's not very helpful in determining which plane it is. As long as the origin is not lying in the plane you should be fine.
 
Don't worry, Miller indices are an archaic tool used by "material scientists" and don't come up in real condensed matter.
 
Wow, that's pretty arrogant.
 

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