How to Find Intercept with Axis for Miller Indices?

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SUMMARY

The discussion focuses on determining the intercepts with axes for Miller indices in a three-dimensional context. Participants provided specific direction coordinates, with Direction 1 identified as [0, 0.25, 0.3] and Direction 2 as [0.4, 0.25, -0.3]. Clarifications were made regarding the terminology, emphasizing that "x, y, z components" is the standard term in American English, while "indices" is used in British English. The use of the Pythagorean theorem was suggested for justifying distances in this context.

PREREQUISITES
  • Understanding of Miller indices and their application in crystallography.
  • Familiarity with three-dimensional coordinate systems.
  • Knowledge of Pythagorean theorem for distance calculations.
  • Basic grasp of terminology differences between American and British English in scientific contexts.
NEXT STEPS
  • Study the application of Miller indices in crystallography.
  • Learn about three-dimensional coordinate transformations.
  • Explore the Pythagorean theorem in three dimensions.
  • Research the differences in scientific terminology between American and British English.
USEFUL FOR

Students and professionals in materials science, crystallography, and physics who need to understand Miller indices and their application in three-dimensional space.

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Homework Statement



for direction 1 and 2, find the indexes x y z for both

Homework Equations



n/a

The Attempt at a Solution



direction 1 is 0,0.25,0.3 ?
direction 2 is 0,-0.3,0.25 ?
 

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What is the definition of an index?
 
icantadd said:
What is the definition of an index?

the direction [x,y,z]
 
Okay, I see the pic now. You are starting from the origin. Just calculate where the point is in the table.
 
icantadd said:
Okay, I see the pic now. You are starting from the origin. Just calculate where the point is in the table.

I'm not quite really sure if I get this right since it is in 3D and is very confusing.

Now, I have Direction 1 [0, 0.25, 0.3]

Direction 2 [0.4, 0.25, -0.3]

Would you please verify if what I have looks good?

Thank you in advance
 
Yeah, now it looks good. If you need to justify the distances, ue pythagoras theorem.
 
icantadd said:
Yeah, now it looks good. If you need to justify the distances, ue pythagoras theorem.

Alright, thank you very much for your clarifications.
 
The standard English term is "x, y, z components" not "indices". In "British English", the letters "x", "y", "z" in, say, u_x, u_y, or u_z would be "indices" (in "American English", "subscripts").
 
hi,can anybody tell how to find intercept with axis for miller indices?
 

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