Wenjie Zhou
Wenjie Zhou
Among all the infinitely many 3D periodic networks you could draw in space, which ones are the most symmetric, in a strict, mathematically defined sense? This is the lattice analog of a very old question: if Platonic solids are the most sym...
A new order parameter model for the structural phase transitions in VO2-based solid solutions [0.03%]
基于VO2的固溶体结构相变的新顺序参数模型
Il Hwan Kim,Jong Song Ri,Un Ik Kang et al.
Il Hwan Kim et al.
To describe the structural phase transitions P42/mnm(R) ↔ P21/c(M1) ↔ P1(T) ↔ C2/m(M2) observed experimentally in VO2 and its solid solutions, the two-component order parameter model is newly proposed. We identify the space groups of 102...
Geometric indicators of local plasticity in glasses measured by scanning small-beam diffraction [0.03%]
基于扫描小束衍射的玻璃局部塑性几何表征
Amelia C Y Liu,Huyen Pham,Arabinda Bera et al.
Amelia C Y Liu et al.
The notion of defects in crystalline phases of matter has been extremely powerful for understanding crystal growth, deformation and melting. Many of these discontinuities in the periodic order of crystals are well described by the Burgers v...
An extensible Julia toolkit for symmetry-aware dual-space phasing in arbitrary dimensions [0.03%]
一个可扩展的Julia工具包，用于任意维度下的对偶空间相位处理并具有对称性感知功能
Pavel Kalugin
Pavel Kalugin
We present an open-source Julia-based software toolkit for solving the phase problem using dual-space iterative algorithms. The toolkit is specifically designed for aperiodic crystals and quasicrystals, supporting general space-group symmet...
Enhanced X-ray structural analysis using total variation denoising of X-ray diffraction images [0.03%]
基于X射线衍射图的全变差去噪增强X射线结构分析法
Kouhei Ichiyanagi,Toshiyuki Sasaki,Yuichi Yokoyama et al.
Kouhei Ichiyanagi et al.
A denoising method based on total variation regularization was applied to X-ray diffraction images obtained from X-ray crystallography experiments. This approach significantly enhanced the signal-to-noise ratio of weak diffraction spots. Su...
On artificial crystal structure generation for solving the phase problem with deep learning [0.03%]
基于深度学习解决相位问题的人工晶体结构生成方法研究
Džonatans Miks Melgalvis,Toms Rekis
Džonatans Miks Melgalvis
We discuss and present approaches for generating artificial crystal structures for training neural networks to solve the phase problem. Structure generation is considered as a two-step process involving sampling unit-cell parameters and fil...
Ultrathin selenium nanorods from helical phases: a quantum chemical study using line group theory [0.03%]
螺旋相超薄硒纳米棒的量子化学研究（线群理论）
Vitaly V Porsev,Andrei V Bandura,Dmitry D Kuruch et al.
Vitaly V Porsev et al.
Quantum chemical calculations of ultrathin nanorods cut from two bulk selenium phases were performed. Two sets of nanorods with trigonal and hexagonal geometric shapes described by the rod symmetry groups p31 and p3121, respectively, were c...
Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets [0.03%]
计算桥长：周期点集连续等距分类的关键因素
Jonathan McManus,Vitaliy Kurlin
Jonathan McManus
The fundamental model of any periodic crystal is a periodic set of points at all atomic centres. Since crystal structures are determined in a rigid form, their strongest equivalence is rigid motion (composition of translations and rotations...
Towards a taxonomy of nets: supersymmetric 2- and 3-periodic structures in three-dimensional Euclidean space [0.03%]
三维欧几里得空间中有色拓扑网络的分类：二维和三维周期结构中的渐近对称性
Mian Li,Michael O&#x;Keeffe,Michael M J Treacy
Mian Li
Supersymmetric structures are defined as edge-transitive spatial graphs where the order of the site symmetry at each vertex is at least twice the coordination number of the vertex. Only 11 vertex- and edge-transitive connected periodic grap...
Digital distance in the kisrhombille grid with the edge neighborhood [0.03%]
带边界的kisrhombille网格中的数字距离
Fatma Kablan,Benedek Nagy,Béla Vizvári
Fatma Kablan
The kisrhombille tiling is the dual tessellation of one of the semi-regular tilings, composed of right-angled triangles arranged in 12 distinct orientations. A coordinate system has been employed to formally describe the grid of tiles. In t...