Interactive guide to diffraction ..

Interactive Tutorial about Diffraction
Reciprocal space III: Rectangular lattice

Reciprocal space
Reciprocity
Square lattice
Rectangular lattice
Oblique lattice
Translation of lattice
Rotation lattice

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Planes and HKL's
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In this example an orthorhombic lattice is simulated. The vertical unit cell length is half the horizontal unit cell length. Two by two unit cells are simulated, each containing one atom at (0 0). This miniature crystal is sufficient in size to illustrate the geometrical relationships. By increasing the size, we will just decrease the FWHM of the Bragg reflections. The units in the pictures are given in unit cell units of the squared lattice in the first example. The pictures below show the atoms and the corresponding Fourier transform. Click on the pictures to get a full screen version.

The reciprocal space geometry corresponds to that of the real space. The reciprocal base vectors are orthogonal to each other, but the vertical reciprocal base vector is twice as long as the horizontal.