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If crystal planes and directions in hexagonal system are indexed using Miller Index, then the crystallography equivalent planes have indices which appear dissimilar. To overcome this, Miller-Bravais Index is used.

In short meaning: Miller-Bravais index, used to identify a plane in a hexagonal or rhombohedral structure.

The four digit of Miller-Bravais indices: (hkil). The i is always the negative of the sum of h and k. The h k l is determined similar like the Miller Index system.

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Q: Describe briefly miller bravais indices
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Procedure of finding miller indices of a crystal structure?

To find the Miller indices of a crystal plane, first determine the intercepts of the plane on the three coordinate axes. Take the reciprocals of these intercepts (or multiply them to clear fractions) to get a set of integers. These integers, when written within parentheses and with no commas, represent the Miller indices of the plane. Simplify the indices if possible by dividing by their greatest common factor.


Why you take reciprocals of intercepts for finding miller indices?

Using reciprocals spares us the complication of infinite intercepts.Formulas involving Miller indices are very similar to related formulas from analytical geometry.


What are miller indices?

Miller indices are a symbolic notation used to describe the orientation of planes and directions in a crystal lattice. They are a set of integers (hkl) representing the intercepts of a plane or direction with the crystallographic axes. Miller indices are used in crystallography to uniquely identify specific crystallographic planes and directions.


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What is the relation between inter planar distance and cubic edge?

The interplanar distance is the distance between parallel atomic planes within a crystal lattice. It is related to the cubic edge length by the Miller indices of the planes and the crystal system. In cubic crystals, the interplanar distance can be calculated using the formula: d = a / √(h^2 + k^2 + l^2), where 'a' is the cubic edge length and (hkl) are the Miller indices of the plane.


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Some notable mineralogists include Johann Wolfgang von Goethe, who made contributions to mineralogy while also being a writer and statesman, and James Dwight Dana, who is known for his work on crystal structures and mineral classification. William Hallowes Miller developed the Miller indices system for crystallography and is considered a pioneer in the field of crystallography.


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