How to Calculate Angles Between Crystal Planes Using Miller Indices?

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Homework Help Overview

The discussion revolves around calculating the angles between crystal planes using Miller indices, focusing on different crystal systems such as cubic and tetragonal.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster seeks a formula for calculating angles based on Miller indices. Some participants indicate that the approach may vary depending on the type of crystal system involved.

Discussion Status

The discussion is ongoing, with some participants providing insights into the normalization of Miller indices for cubic systems and suggesting the use of dot products to find angles. However, there is no consensus on a comprehensive method applicable to all crystal systems yet.

Contextual Notes

Participants are considering the implications of different crystal structures on the calculation methods, indicating a need for clarity on how these variations affect the approach to the problem.

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i want the formula of Angles Between crystal Planes by knowning the information of Miller Indices of that planes?

please help me
 
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depends on if you have a cubic cell, or tetragonal etc..
 
malawi_glenn said:
depends on if you have a cubic cell, or tetragonal etc..

for all of them please.
 
For a cubic system you can normalize the MIs to get the direction cosines of the normal to the plane. After that, it's just a matter of taking a dot product.
 

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