Miller Indices

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2 c -a 1. Axial Intercepts: a=-1, b=1, c=2 -1 2. Invert intercepts: -1/1, 1/1, 1/2 a 1 b 3. Clear fractions: (-2 2 1)
Law of Rational <strong>Indices</strong> (“Hauy’s Law”): <strong>Miller</strong> indices can always be expressed by simple (small) whole numbers or zero Zone [u v w]: a direction defined by a set of crystal faces with parallel intersection edges; the zone axis is a line through the center of the crystal that is parallel to the lines of face intersections To calculate, choose 2 faces (h 1 k 1 l 1 ) and (h 2 k 2 l 2 ) Example (100) and (10-1) Write h 1 k 1 l 1 h 1 k 1 l 1 1 0 0 1 0 0 h 2 k 2 l 2 h 2 k 2 l 2 1 0-1 1 0 -1 [uvw]=(k 1 l 2 -l 1 k 2 )(l 1 h 1 -h 1 l 2 )(h 1 k 2 -k 1 h 2 ) = (0-0), (0+1), (0-0) = [010]
Page 1 and 2: Lecture 4: Miller Indices, Zones, F
Page 3: Example: c 1. Axial Intercepts: 1 a
Page 9 and 10: The number of faces that belong to
Page 11: More about forms… CLOSED FORM: en

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