文献openalex2026-08-20cc-by
Quaternary mixed-metal chalcohalides offer a compositionally versatile platform for developing lead-free semiconductor nanomaterials, yet colloidal access to Cu–Bi–S–Cl compositions remains unexplored. Here, we report the first solution-phase synthesis of CuBiSCl₂ nanocrystals (NCs) through a hot-c…
doi: 10.6084/m9.figshare.33295257source:openalex: https://openalex.org/W7203916677
文献openalex2026-08-20许可待确认
Meissner polyhedra are constant-width bodies obtained from extremal finite sets of unit diameter. Such a generating set may contain dangling points, namely points having exactly two diametric neighbors. This article studies whether these points can play an essential role in surface-area minimizatio…
doi: 10.48550/arxiv.2608.19747source:openalex: https://openalex.org/W7203917046
文献openalex2026-08-20cc-by
Symmetry is a cornerstone of modern mathematics and physics, yet conventional treatments typically regard symmetry as a static property of a single configuration or structure. This paper introduces a new perspective, Recursive Symmetry Theory, which treats symmetry as an operation that can be appli…
doi: 10.5281/zenodo.22024111source:openalex: https://openalex.org/W7203913564
文献openalex2026-08-20cc-by
Supplementary Material 1.
doi: 10.6084/m9.figshare.33304451.v1source:openalex: https://openalex.org/W7203908464
文献openalex2026-08-20cc-by
This manuscript introduces the concept of Mathematical Structural Temperature (MST) as a quantitative measure of the exchangeability of legal configurations within a mathematical structure. MST is denoted by T_str(X) for a structure X and is defined through an axiomatic framework that captures the…
doi: 10.5281/zenodo.22023649source:openalex: https://openalex.org/W7203907786
文献openalex2026-08-20cc-by
FINDING: Fibonacci numbers appear in Mandelbrot set dynamics and can be generated via closed-form tree structures, linking recursion to fractal geometry. | MATH: Fibonacci recurrence \(F_n = F_{n-1} + F_{n-2}\); closed-form via Binet: \(F_n = \frac{\phi^n - \psi^n}{\sqrt{5}}\) where \(\phi = \frac{…
doi: 10.5281/zenodo.22022707source:openalex: https://openalex.org/W7203907034
文献openalex2026-08-20cc-by
Abstract This review provides a comprehensive analysis of contemporary approaches to integrating machine learning with solid-state chemistry for the rational design and accelerated discovery of electrochemical materials for solid oxide fuel cells (SOFCs), solid oxide electrolysis cells (SOECs), and…
doi: 10.5281/zenodo.22021889source:openalex: https://openalex.org/W7203909708
文献openalex2026-08-20cc-by
The present work introduces Structural Minimality Theory, a framework for determining the smallest structural configuration that suffices to guarantee the validity of a given mathematical statement. By formalizing the notion of a Minimal Supporting Structure (MSS), the theory provides a systematic…
doi: 10.5281/zenodo.22023168source:openalex: https://openalex.org/W7203907260
文献openalex2026-08-20cc-by
Supplementary Material 1.
doi: 10.6084/m9.figshare.33304451source:openalex: https://openalex.org/W7203910878
文献openalex2026-08-20许可待确认
Granular systems are common in nature and everyday life, but their behavior can be hard to predict, especially when they suddenly fail, as in an avalanche. To study this problem, we use a simple two-dimensional model of 19 particles inside a box. The particles can form stable jammed states or failu…
doi: 10.17615/63rp-fd19source:openalex: https://openalex.org/W7203912379
文献openalex2026-08-20许可待确认
Abstract Microdroplets provide highly dynamic interfacial environments capable of regulating chemical reactivity through the generation of localized electric fields (EFs) and reactive oxygen species, such as hydroxyl radicals (·OH), at their interfaces. However, direct nanoscale visualization of mi…
doi: 10.1021/acs.analchem.6c02622source:openalex: https://openalex.org/W7203908473
文献openalex2026-08-20许可待确认
Nickel–titanium alloys produced through powder metallurgy were subjected to controlled aging treatments to examine how thermal exposure influences microstructural evolution, oxide formation, and corrosion performance. Aging at 600 °C for 1–3 h progressively reduced porosity and promoted the develop…
doi: 10.1142/s0218625x26500915source:openalex: https://openalex.org/W7203906615
文献openalex2026-08-20cc-by
In many complex systems, the underlying structure is not fully occupied by constituent elements; some positions that could logically host an element remain empty. These positions are not arbitrary omissions but are determined by the structure's intrinsic geometry, topology, and symmetry. This paper…
doi: 10.5281/zenodo.22023627source:openalex: https://openalex.org/W7203904879
文献openalex2026-08-20cc-by
Symmetry is a foundational concept in mathematics and physics, traditionally studied through group actions on spaces or objects. This paper proposes a unifying framework called the Universal Symmetry Hierarchy that extends the conventional notion of symmetry to multiple layers. We introduce the con…
doi: 10.5281/zenodo.22022896source:openalex: https://openalex.org/W7203903050
文献openalex2026-08-20cc-by
Revision Update V4: This manuscript has been extensively upgraded to formally introduce the TELOS (Twisted Encapsulated Layered Optimized Strain) Architecture. We have eliminated previous reliance on phenomenological "toy model" parameters by integrating large-scale, first-principles Density Functi…
doi: 10.5281/zenodo.22021039source:openalex: https://openalex.org/W7203902546
文献openalex2026-08-20许可待确认
Machine-learning force fields provide a promising route for accelerating molecular simulation by replacing expensive quantum-chemical calculations with differentiable models of molecular energies and atomic forces. However, learning accurate and energy-conserving forces remains challenging, especia…
doi: 10.48550/arxiv.2608.19532source:openalex: https://openalex.org/W7203901344
文献openalex2026-08-20cc-by
In this study we have performed first principle calculations to study the electronic and its resulting thermoelectric properties of SnSb alloy within the framework of density functional theory (DFT). Generalized Gradient Approximation (GGA) is employed to model the exchange and correlation of KohnS…
doi: 10.5281/zenodo.22023654source:openalex: https://openalex.org/W7203900421
文献openalex2026-08-20cc-by
The phase field method provides a unified framework for modeling a wide range of interfacial phenomena without explicit tracking of interfaces. In this paper we develop a comprehensive mathematical formulation of phase field theory, starting from the variational principle that defines a diffuse int…
doi: 10.5281/zenodo.22024400source:openalex: https://openalex.org/W7203897716
文献openalex2026-08-20cc-by
This paper introduces Algorithmic Chemical Theory (ACT), a novel approach to chemical understanding and prediction. Instead of viewing algorithms as discrete modules, ACT proposes that algorithms are fundamental, irreducible elements analogous to those found in the periodic table. These algorithmic…
doi: 10.5281/zenodo.22020115source:openalex: https://openalex.org/W7203898498
文献openalex2026-08-20cc-by
Delivering protein and peptide therapeutics through the oral route continues to be a difficult problem, mainly because these molecules break down so readily in the gastrointestinal tract and struggle to cross biological membranes. Their fragility and fast enzymatic turnover typically translate into…
doi: 10.5281/zenodo.22030905source:openalex: https://openalex.org/W7203900035