Normally, we determine the Miller Indices for various crystals as 001, 100, 010, for cube and 111 and so on for Octahedron etc. Here, we just describe the face is cut by a, b or c axis and running parallel to ...............or cutting all axes at equal length etc. But just describing this is not sufficient; what are the other uses of Miller Indices?
Dear Moazzem Hossain,
Thanks for such general answer but actually i am interested in Miller Indices notation as i asked in my question that when we write the Miller indices as (110), (101), (100), (001), (111), (213) etc. In description form we will write for example (110) as that it is a face cutting a and b axes at equal length while going parallel to c-axis. In case of 111; we will write as that it is a face cutting all the three axes at equal length and so on...........This is actually my concern that what is the benefit to study the Miller Indices where we just write that a face is parallel or cut by any axis.
dear Muhammad Hassan Agheem
I am afraid you are mixing up the topics of macro- and microcrystallography. You are asking your question in terms of crystal habits, which is macrocrystallography.
The Miller indices are used for description of different atomic planes in microcrystallography as a part of the most simple mathematical description of periodic atomic arrangements as Moazzem Hossain has correctly answered to you.
But as the crystal shape is a direct consequence of periodic structure of a crystal, Miller indices have this double meaning. To fully understand them you should learn more about the interrelation of micro and macro crystallography. Than you will understand that you put your question in a wrong way.
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