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Updated: Jun 27, 2026

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Published on: July 3, 2021
Deconvolution of the interatomic vector set using a convolution table
1Department of Molecular Physiology and Biological Physics, University of Virginia, Charlottesville, VA 22908, USA. jf4x@virginia.edu
Abstract:
The deconvolution of the interatomic vector set (the ideal Patterson function) with the superposition technique is not complete because of the vector overlaps: multiple images and false peaks usually exist in the superposition map. Here, a new method for the deconvolution of the interatomic vector set is presented. This method involves constructing a table termed the ;convolution table' from vectors in a superposition map and then sorting the table so that vectors belonging to different images are separated, and thus the overlaps are naturally solved. This method does not use the symmetry information.
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