Cellular automata modeling of complex inorganic crystal structures

2010 ◽  
Vol 66 (a1) ◽  
pp. s40-s40
Author(s):  
Sergey V. Krivovichev ◽  
Vladislav V. Gurzhiy ◽  
Ivan G. Tananaev ◽  
Boris F. Myasoedov
Author(s):  
Hillary Pan ◽  
Alex M. Ganose ◽  
Matthew Horton ◽  
Muratahan Aykol ◽  
Kristin Persson ◽  
...  

Crystals ◽  
2021 ◽  
Vol 11 (12) ◽  
pp. 1472
Author(s):  
Sergey V. Krivovichev

Modularity is an important construction principle of many inorganic crystal structures that has been used for the analysis of structural relations, classification, structure description and structure prediction. The principle of maximal simplicity for modular inorganic crystal structures can be formulated as follows: in a modular series of inorganic crystal structures, the most common and abundant in nature and experiments are those arrangements that possess maximal simplicity and minimal structural information. The latter can be quantitatively estimated using information-based structural complexity parameters. The principle is applied for the modular series based upon 0D (lovozerite family), 1D (biopyriboles) and 2D (spinelloids and kurchatovite family) modules. This principle is empirical and is valid for those cases only, where there are no factors that may lead to the destabilization of simplest structural arrangements. The physical basis of the principle is in the relations between structural complexity and configurational entropy sensu stricto (which should be distinguished from the entropy of mixing). It can also be seen as an analogy of the principle of least action in physics.


Author(s):  
Wai-Kee Li ◽  
Gong-Du Zhou ◽  
Thomas Chung Wai Mak

2016 ◽  
Vol 2016 (9) ◽  
pp. 1389-1394 ◽  
Author(s):  
Peter Nørby ◽  
Mads Ry Vogel Jørgensen ◽  
Simon Johnsen ◽  
Bo Brummerstedt Iversen

2021 ◽  
Author(s):  
Hillary Pan ◽  
Alex Ganose ◽  
Matthew Horton ◽  
Muratahan Aykol ◽  
Kristin Persson ◽  
...  

Coordination numbers and geometries form a theoretical framework for understanding and predicting materials properties. Algorithms to determine coordination numbers automatically are increasingly used for machine learning and automatic structural analysis. In this work, we introduce MaterialsCoord, a benchmark suite containing 56 experimentally-derived crystal structures (spanning elements, binaries, and ternary compounds) and their corresponding coordination environments as described in the research literature. We also describe CrystalNN, a novel algorithm for determining near neighbors. We compare CrystalNN against 7 existing near-neighbor algorithms on the MaterialsCoord benchmark, finding CrystalNN to perform similarly to several well-established algorithms. For each algorithm, we also assess computational demand and sensitivity towards small perturbations that mimic thermal motion. Finally, we investigate the similarity between bonding algorithms when applied to the Materials Project database. We expect that this work will aid the development of coordination prediction algorithms as well as improve structural descriptors for machine learning and other applications.


2012 ◽  
Vol 28 (03) ◽  
pp. 536-540
Author(s):  
HUO Wei-Feng ◽  
◽  
LI Yi ◽  
LU Jun-Ran ◽  
YU Ji-Hong ◽  
...  

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