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2. The Structure Factor

For every space group and every structure and every reflection (hkl) we know:

F(hkl) = \sum^N_{j=1} f_j \cdot \exp [2{\pi}i(hk_j + ky_j + lz_j)],\end{displaymath} (3)


In the following (hx + ky + lz) is often written hx to make the formulae shorter.

The structure factor depends on

Since the space group symmetry gives information about the relative positions of the atoms, F(hkl) will become dependent on the symmetry. This holds both for the phase and amplitude of F(hkl). The form of this dependence will come clear from the following pages.

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