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    receprocal lattice of a square Lattice, Illustration.

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    The concept of reciprocl lattice is very important in solid state physics. The x-ray diffraction pattern is the mapping of receprocal lattice.

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    Please see the attached files.

    a. The Reciprocal lattice of a simple cube of a=0.2nm is shown in the diagram. (Black colour ) The lattice cell dimension is given below .
    = 2x3.14/0.2nm=3.14/10-10=3.14X1010 m-1
    For a simple cubic structure the a*=b*=c*= 3.14X1010 m-1. It can be marked in the diagram such that the distance between two points is a*=b*=c*, ie The distance between 000, 100 is a*=b*=c*= 3.14X1010 m-1
    is the same for (100, 200) points, or (200,300), (000,010) or (010,020) points.
    b. The black bold arrows directed to the index points represent miller indices are the reciprocal ...

    Solution Summary

    Here in this work a schematic illustration of reciprocal lattice for a square lattice is given.