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CRYSTALLOGRAPHIC PLANES. Any two planes parallel to each other are equivalent and have identical indices Procedure is:. If the plane passes through the selected origin, construct another parallel plane within the unit cell/ establish a new origin at the corner of another unit cell
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CRYSTALLOGRAPHIC PLANES Any two planes parallel to each other are equivalent and have identical indicesProcedure is: • If the plane passes through the selected origin, construct another parallel plane within the unit cell/ establish a new origin at the corner of another unit cell • The plane intersects/ parallels each of the 3 axes; determine the length of planar intercept for each axis in terms of a, b, &c. • Take reciprocals of these numbers. (if a plane parallels an axis, intercept is infinity & thus a zero index ) • Change to a set of smallest integers • Enclose within parentheses as (h k l)
Crystallographic Planes specified by MILLER INDICES STEPS: • One corner of Unit cell is Origin • The plane cuts X axis at a, Y axis at b, Z axis at c
Direction [1 1 1]& Plane (1 1 1) FOR CUBIC CRYSTALS ONLY Planes and Directions having same indices are perpendicular to oneanother
Problem 8 a & b Sketch [0 0 0 1] and (0 0 0 1)