The principle of the maximum entropy method

Makoto Sakata, Masaki Takata

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The theoretical background of the maximum entropy method (MEM) when it is applied to restore the electron or nuclear densities from diffraction data is described. In MEM, the concept of "entropy" is introduced to deal with any incompleteness in an observation in a proper way. An incompleteness causes some ambiguities in the results to some extent. The essence of the method is to find a solution which necessarily agrees with the observation, leaving the measure of ambiguities (entropy) maximum. A few results for simple structures with typical types of chemical bonding are also presented.

Original languageEnglish
Pages (from-to)327-333
Number of pages7
JournalHigh Pressure Research
Volume14
Issue number4-5
Publication statusPublished - 1996 Dec 1
Externally publishedYes

Keywords

  • Electron density distribution
  • Maximum entropy method
  • Powder diffraction
  • Silicon

ASJC Scopus subject areas

  • Condensed Matter Physics

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