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傅里叶映射的信息熵。

Informational entropy of Fourier maps.

作者信息

Menéndez-Velázquez Amador, García-Granda Santiago

机构信息

Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco Ctra de Colmenar Km 15, 28049 Madrid, Spain.

出版信息

Acta Crystallogr A. 2006 Mar;62(Pt 2):129-35. doi: 10.1107/S010876730503713X. Epub 2006 Feb 18.

Abstract

An analysis on what is known as the interpretation of Fourier maps has been done from the information theory point of view: determining the nature of the peaks in the map (in order to assign them a suitable scattering factor) and allocating bonds between some of the possible peak pairs. Before interpreting the map, a quantitatively measurable entropy (uncertainty, unknowingness) relating to the molecular structure is known. After the interpretation, this entropy becomes amount of information. This analysis allows us, for the first time in crystallography, to quantify these parameters and analyse the contributions of the different information sources.

摘要

从信息论的角度对所谓的傅里叶图谱解释进行了分析

确定图谱中峰的性质(以便为它们分配合适的散射因子),并在一些可能的峰对之间分配化学键。在解释图谱之前,已知与分子结构相关的定量可测熵(不确定性、未知性)。解释之后,这个熵就变成了信息量。这种分析使我们首次能够在晶体学中对这些参数进行量化,并分析不同信息源的贡献。

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