Last Update 27/ 03/ 2001
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The application mil2 shows a cube in perspective and seven buttons with the Miller indices in sequence from top to bottom (1 0 0), (2 0 0) until (1 1 1). Those indices define seven selected crystallographic planes in order to clarify on reciprocal relations, parallelism and perpendicularity. The sequence of planes (1 0 0), (2 0 0) e (5 0 0) represents on the figure the reciprocal relationship between the Miller indices and its distance from the origin, respectively. These are parallel planes indicated by the proportionality of the h, k and l indices of any two of them. It is noticeable the plane (1 0 0) as this face symbol is just the face of the cube.
Plane (5 8 2) has no special features.
The last of the sequence, that with Miller indices (1 1 1) is of outstanding importance, it is used to define the octahedron face when it is oriented with its three four fold axis parallel with directions x, y and z.
The other two planes are perpendicular.
Bibliography
1. Brown, F.C., Física de los Sólidos, Editorial Reverté, S.A., Barcelona, 1970.
2. Keer, H.V., Principles of the Solid State, John Wiley & Sons, New York, 1993.
3. Kittel, C., Introduction to Solid State Physics, John Wiley & Sons, New York, 1996.
4. Stout, G.H. and Jensen, L.H., X-ray Structure Determination, Macmillan, London, 1972.
5. Woolfson, M.M., X-ray Crystallography, Cambridge at the University Press, London, 1970.
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