Literature DB >> 32356793

The Fedorov-Groth law revisited: complexity analysis using mineralogical data.

Sergey V Krivovichev1, Vladimir G Krivovichev2.   

Abstract

The Fedorov-Groth law points out that, on average, chemical simplicity corresponds to higher symmetry, and chemically complex compounds usually have lower symmetry than chemically simple compounds. Using mineralogical data, it is demonstrated that the Fedorov-Groth law is valid and statistically meaningful, when chemical complexity is expressed as the amount of Shannon chemical information per atom and the degree of symmetry as the order of the point group of a mineral.

Keywords:  Fedorov–Groth law; Shannon information; chemical composition; complexity; symmetry

Year:  2020        PMID: 32356793      PMCID: PMC7233019          DOI: 10.1107/S2053273320004209

Source DB:  PubMed          Journal:  Acta Crystallogr A Found Adv        ISSN: 2053-2733            Impact factor:   2.290


  3 in total

1.  Topological complexity of crystal structures: quantitative approach.

Authors:  Sergey Krivovichev
Journal:  Acta Crystallogr A       Date:  2012-04-17       Impact factor: 2.290

2.  Which inorganic structures are the most complex?

Authors:  Sergey V Krivovichev
Journal:  Angew Chem Int Ed Engl       Date:  2013-12-13       Impact factor: 15.336

3.  Structural complexity and configurational entropy of crystals.

Authors:  Sergey V Krivovichev
Journal:  Acta Crystallogr B Struct Sci Cryst Eng Mater       Date:  2016-03-01
  3 in total
  1 in total

1.  On an extension of Krivovichev's complexity measures.

Authors:  Wolfgang Hornfeck
Journal:  Acta Crystallogr A Found Adv       Date:  2020-06-30       Impact factor: 2.290

  1 in total

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