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Geometry

  The Reciprocal Lattice     6 of 18
 
In order to make it easier to understand the information in a diffraction pattern, we use reciprocal lattices. A reciprocal lattice is a construction drawn in reciprocal space, where we use reciprocal space. A dimension of 1/d, where d is the spacing between crystal planes, is frequently used.

Have a go imageClick on the animation to rearrange the Bragg equation to show the equation for 1/d..

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Diffraction experiment imageConsider a beam of waves to be incident on a crystal. The measurement, r, made from the diffraction pattern, tells us about 2qB. From this we can deduce 1/d, since we know that for diffraction of radiation of wavelength, l, the Bragg angle, qB, increases with 1/d.

 

 
 

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