The fundamental principles underlying the arrangement of elements into solid compounds with an enormous variety of crystal structures are still largely unknown. This study presents a general overview of the structure types appearing in an important subset of the solid compounds, i.e., binary and ternary compounds of the 6A column oxides, sulfides and selenides. It contains an analysis of these ...

Hollow nanostructures represent a unique class of functional nanomaterials with many applications. In this work, a one-pot and unusual "pumpkin-carving" protocol is demonstrated for engineering mesoporous single-crystal hollow structures with multilevel interiors. Single-crystal CoSn(OH)6 nanoboxes with uniform size and porous shell are synthesized by fast growth of CoSn(OH)6 nanocubes and kine...

Delafossite crystals are fascinating ternary oxides that have demonstrated transparent conductivity and ambipolar doping. Here we use a high-throughput approach based on density functional theory to find delafossite and related layered phases of composition ABX2, where A and B are elements of the periodic table, and X is a chalcogen (O, S, Se, and Te). From the 15 624 compounds studied in the t...

Lithium-and-manganese-rich (LMR) cathode materials have been regarded as very promising for lithium (Li)-ion battery applications. However, their practical application is still limited by several barriers such as their limited electrochemical stability and rate capability. In this work, we present recent progress on the understanding of structural and compositional evolution of LMR cathode mate...

One-dimensional (1D) nanostructures of ternary complex oxides have drawn intensive interest because of their novel size-dependent properties, such as ferroelectric,1a multiferroic,1b and superconductivity.1c Various synthetic approaches, such as aqueous route by employing hydrothermal reaction2 or templates,3 molten-salt synthesis,4 and composite-hydroxide-mediated synthesis5 have been develope...

A simple method for maintaining balance in ternary search tries is presented. The new kind of self-balancing ternary search trie, called an r-trie, generalizes the balancing strategy of Aragon and Seidel’s randomized binary search trees (treaps). This means that an r-trie is shaped like a ternary search trie built by inserting the strings in random order. As a result, the time cost of searching...

Several ternary- and binary-structured ZnO-based nanocrystallites (Zn2SnO4, Zn2TiO4, ZnO/SnO2, ZnO/TiO2) were synthesized by the solid-state method first tested as photocatalysts in removal of fumonisin B1 (FB1) under UV irradiation. The phase composition nanocrystalline dimensions (50–80 nm) confirmed X-ray diffraction Raman analyses. Similar preparation procedures applied case binary structur...

In the year 1971, W. G. Lister [14] introduced the notion of ternary ring. Later in the year 2014, J. R. Castillo and Jocelyn S. ParaderoVilela [2] introduced the notion of krasner ternary hyperring. In [6] we introduce the notion of multiplicative ternary hyperring. In this paper we study prime hyperideals in a multiplicative ternary hyperring. We obtain some Characterizations of prime hyperid...

Two Bi–Mo–Co–Fe–O catalysts were synthesized by flame spray pyrolysis and tested for their catalytic performance in selective oxidation of propylene to acrolein. Pronounced structural changes during temperature–programmed reaction observed operando X–ray absorption spectroscopy, diffraction, Raman thermogravimetric analysis. During oxidative treatment, mainly binary oxide phases (α–Bi2Mo3O12, β...