Understanding Miller Indices to Interpreting Crystal Planes

[_Andreas]

They confuse me. If someone tells me a plane has the index, say (233), it's very difficult for me to see where it intercepts the crystal axes. What are they good for?

 

[marcusl]

The properties of a solid differ depending on directions in the crystal structure. Some examples:
Stress and strain (you can apply a squeezing force along one axis and see bulging or contraction along another)
Piezoelectricity
Xray diffraction
Wave propagation
The most important practical applications of Miller indices are in semiconductor device physics. Look at any semiconductor research article and you'll see the parameter or measurement under discussion is indexed to a direction like (100) in Silicon.

 

[_Andreas]

Thanks.

But let's go back to the plane with index (233). I want to draw it in a coordinate system with the crystal axes a, b, and c. I know from my textbook that its coordinates in this coordinate system are (3,2,2) (that is, the plane intercepts the axes at 3a, 2b and 2c). But how do I get this information if I only know the index? I know how to get the index from knowing the coordinates, but vice versa seems to be more difficult.

 

[Dr Transport]

try this tutorial...

https://www.physicsforums.com/showthread.php?t=110233

 

[paramahamsa]

try this tutorial...

https://www.physicsforums.com/showthread.php?t=110233

i am getting a n error message whew i want to open this

 

[paramahamsa]

Thanks.

But let's go back to the plane with index (233). I want to draw it in a coordinate system with the crystal axes a, b, and c. I know from my textbook that its coordinates in this coordinate system are (3,2,2) (that is, the plane intercepts the axes at 3a, 2b and 2c). But how do I get this information if I only know the index? I know how to get the index from knowing the coordinates, but vice versa seems to be more difficult.

do the same thing for vice versa also