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Color theorems, chiral domain topology, and magnetic properties of Fe(x)TaS2
- Source :
- Journal of the American Chemical Society. 136(23)
- Publication Year :
- 2014
-
Abstract
- Common mathematical theories can have profound applications in understanding real materials. The intrinsic connection between aperiodic orders observed in the Fibonacci sequence, Penrose tiling, and quasicrystals is a well-known example. Another example is the self-similarity in fractals and dendrites. From transmission electron microscopy experiments, we found that FexTaS2 crystals with x = 1/4 and 1/3 exhibit complicated antiphase and chiral domain structures related to ordering of intercalated Fe ions with 2a × 2a and √3a × √3a superstructures, respectively. These complex domain patterns are found to be deeply related with the four color theorem, stating that four colors are sufficient to identify the countries on a planar map with proper coloring and its variations for two-step proper coloring. Furthermore, the domain topology is closely relevant to their magnetic properties. Our discovery unveils the importance of understanding the global topology of domain configurations in functional materials.
- Subjects :
- Fibonacci number
Chemistry
Quasicrystal
Four color theorem
02 engineering and technology
General Chemistry
021001 nanoscience & nanotechnology
Topology
01 natural sciences
Biochemistry
Catalysis
Planar graph
symbols.namesake
Colloid and Surface Chemistry
Aperiodic graph
0103 physical sciences
Domain (ring theory)
symbols
010306 general physics
0210 nano-technology
Topology (chemistry)
Penrose tiling
Subjects
Details
- ISSN :
- 15205126
- Volume :
- 136
- Issue :
- 23
- Database :
- OpenAIRE
- Journal :
- Journal of the American Chemical Society
- Accession number :
- edsair.doi.dedup.....ab365b75f87f2b26bd97484ebe3c3fc5