Questions tagged [miller-indices]

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A problem with Miller indices [closed]

I know how to calculate Miller indices (hkl), but I have found a weird one I can not work out could you please help, I know your you have to expand the plane but after that I’m lost.
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Interplanar distance given Miller indice of the planes

Say we've a cubic crystal of unity edge length. A set of planes in such a crystal is specified by their miller indice as $(3 2 0)$. One of these planes then has intercepts on the axes as $(2 ,3 ,\...
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Trouble understanding interplanar spacing using miller indices

We know that two parallel planes have the same Miller indices, this implies that we can have an infinite number of parallel planes close to one another all of which have the same Miller indices. But ...
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How do I find miller indices for a plane whose intercepts are fractions of the lattice constant?

[I'm talking with respect to cubic lattices alone.] For instance, if a plane has $x,y,z$ intercepts $a/2,a/2,a/2$ (where $a$ is the lattice constant) the miller index would be $[2\space2\space2]$. The ...
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Spacing between adjacent planes of a given set in a simple cubic crystal

Today I learned about Miller indices in a cubic crystal, and I learned that adjacent planes $(hkl)$ in a simple cubic crystal are spaced a distance $d_{hkl}$ from each other, with $d_{hkl}$ given by: ...
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How do the three Miller indices (hkl) denote planes orthogonal to the reciprocal lattice vector?

The Wikipedia page for Miller indices defines Miller indices as follows: There are two equivalent ways to define the meaning of the Miller indices: via a point in the reciprocal lattice, or as the ...
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Miller Indices and the case of a cubic crystal

My textbook, Solid-State Physics, Fluidics, and Analytical Techniques in Micro- and Nanotechnology, by Madou, presents the following image and explanation in a section on x-ray diffraction and Laue ...
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Miller indices: How does one translates the orientation to the origin of the unit cell?

In a section discussing Miller indices, my textbook says the following: The rules for determining the Miller indices of a direction or an orientation in a crystal are as follows: translate the ...
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What about Miller Indices of planes passing through origin?

For Miller Indices of planes if we encounter a case where the plane passes through the origin then I have heard that the only remedy can be arrived by shifting the origin to a different point.However ...
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Do two Miller planes need to have similar arrangement of atoms?

For two Miller planes, do I need to have the same arrangement of atoms in both of them? Does it need to look like the same plane translated a little? I have this question because if this is not the ...
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