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On the concept of long range order in solids: The use of algorithmic complexity
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Ernesto Estevez-Rams
Veröffentlicht/Copyright:
25. September 2009
Abstract
The paper focus on the ongoing discussion on how to better define the notion of crystallinity. We suggest that the use of algorithmic complexity captures, from a mathematical point of view, the notion of long range order in solids without the need of referring to the nature of the diffraction pattern. The possibility to compare different degrees of “crystallinity” by means of the corresponding algorithmic complexity is discussed. The diffraction space is studied from the same perspective, and it is proven that zero algorithmic complexity of the diffraction pattern does not imply the same result for the arrangement of atoms.
Published Online: 2009-09-25
Published in Print: 2009-03
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Artikel in diesem Heft
- Point groups in crystallography
- Non-hydrostatic compression of zeolite NaA in water medium: connection to anomalous conductivity
- Sodium hydrogencarbonate (NaHCO3): coincidence-site lattice twinning and structure refinement
- Crystal chemistry and topology of Rb–MIII molybdates (M = Fe, Sc, In) and triclinic Rb2Mo4O13: novel building blocks, decorated chains and layers
- Structural, spectroscopic and EPR studies of tetraethylammonium tetramethylammonium tetrabomocuprate (II) complex
- Synthesis and structure of [Nd(C6NO2H5)3(H2O)2]2n· (3nHgCl4) · (4nH2O)
- 1,4-diazabicyclo[2.2.2]octane-1,4-diium dihydrogen phosphate monohydrate from X-ray and neutron data
- On the concept of long range order in solids: The use of algorithmic complexity
