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Additional recommended knowledge
The Patterson function is defined as
It is essentially the Fourier transform of the intensities rather than the structure factors. The Patterson function is also equivalent to the electron density convoluted with its inverse:
Furthermore, a Patterson map of N points will have N(N−1) peaks, excluding the central peak and any overlap.
The peaks in the Patterson function are the interatomic distances weighted by the product of the number of electrons in the atoms concerned.
The Patterson always has central symmetry.
Consider the series of delta functions given by
Then the Patterson function is
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Patterson_function". A list of authors is available in Wikipedia.|