What do you understand by miller indices of a crystal plane, Chemistry

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What do you understand by Miller indices of a crystal plane?

Miller Indices are a symbolic vector representation for the orientation of an atomic plane in a crystal lattice and are defined as reciprocals of the fractional intercepts which plane makes with the crystallographic axes.

In an orthogonal coordinate system, interplaner distance dhkl is given by:

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Where h, k, l are the Miller indices of planes and a, b, c are dimensions of the unit cell.

Now for a cubic system, a = b =c

Hence, dhkl= a / [h2+ k2+ l2]1/2

 

 


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