Vacancy ordered halide double perovskites (VODP) have been widely explored throughout the past few years as promising lead-free alternatives for optoelectronic applications. Yet, atomic-scale mechanisms that underlie their optical properties remain elusive. In this work, a investigation of excitonic key members within VODP family is presented. We employ ab-initio calculations and unveil critica...

A coarse space X endowed with a linear order compatible the structure of is called linearly ordered. We prove that every ordered locally convex and asymptotic dimension either 0 or 1. If metrizable, then family all right bounded subsets has selector.

In this paper, we study the well extension of strict(irreflective) partial well orderings. We first prove that any partially well-ordered structure ⟨A,R⟩ can be extended to a well-ordered one. Then we prove that every linear extension of ⟨A,R⟩ is well-ordered if and only if A has no infinite totally unordered subset under R.

A study is presented of right (left) coprime decompositions of a collection of N -periodic rational matrices, with some ordered structure. From a block-ordered right coprime decomposition of a rational matrix of the given periodic collection, the corresponding block-ordered right coprime decompositions of the remaining matrices of the collection are constructed. In addition, those decomposition...

We introduce the notion of an ordered face structure. The ordered face structures to many-to-one computads are like positive face structures, c.f. [Z], to positive-to-one computads. This allow us to give an explicit combinatorial description of many-to-one computads in terms of ordered face structures.

In this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. Also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. Furthermore,...

The related parameters of cation size and valence that control the crystallization of Sr(3)CaRu(2)O(9) into a 1:2 B-site-ordered perovskite structure were explored by cationic substitution at the strontium and calcium sites and by the application of high pressure. At ambient pressures, Sr(3)MRu(2)O(9) stoichiometries yield multiphasic mixtures for M = Ni(2+), Mg(2+), and Y(3+), whereas pseudocu...

Guided by recent experimental results suggesting that protein-folding rates and mechanisms are determined largely by native-state topology, we develop a simple model for protein folding free-energy landscapes based on native-state structures. The configurations considered by the model contain one or two contiguous stretches of residues ordered as in the native structure with all other residues ...