A note on tilting sequences

We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.      

Neutron powder diffraction as a characterization tool of solid oxide fuel cell materials

Neutron diffraction is a powerful tool for the characterization of materials and, particularly, oxides. Oxide materials find applications in solid oxide fuel cells (SOFCs) as solid electrolytes as well as anode and cathode materials. As a structural probe, neutrons are specially suitable for the crystallographic study of oxides, given the comparable scattering factors of O and other heavier elements, allowing its precise localization in the crystal structure. Many problems can be addressed by neutrons, related to the octahedral tilting in perovskites, phase transitions, order–disorder phenomena, presence of anionic vacancies, etc. Neutrons make possible an accurate determination of the thermal factors and provide a visualization of the diffusion paths in ionic conductors. Neutrons allow the localization of light atoms such as hydrogen, and make possible the distinction between neighbouring elements, typically Fe and Mn. In this work we will describe some recent applications of this technique in the field of solid electrolytes and electrode materials, including some examples from our group.     

自组装静电驱动微机电系统倾斜镜

研制了一种基于自组装技术的静电驱动微机电系统(MEMS)倾斜镜,并利用表面硅工艺PolyMUMPs制备了样品。倾斜镜主要由一个中心镜面,两个偏转梁和两个可实现自组装的复合悬臂梁组成。中心镜面离衬底的高度可通过增大金和多晶硅复合悬臂梁的残余应力梯度得到提升。热退火技术被用于提高金层的残余应力。器件结构利用有限元仿真软件进行了优化并通过实验进行了验证。经过200 ℃热退火后,倾斜镜的偏转角度可以达到3.6。该倾斜镜可运用于微光机电系统。     

Generalized cluster complexes via quiver representations

We give a quiver representation theoretic interpretation of generalized cluster complexes defined by Fomin and Reading. Using d-cluster categories defined by Keller as triangulated orbit categories of (bounded) derived categories of representations of valued quivers, we define a d-compatibility degree (−∥−) on any pair of “colored” almost positive real Schur roots which generalizes previous definitions on the noncolored case and call two such roots compatible, provided that their d-compatibility degree is zero. Associated to the root system Φ corresponding to the valued quiver, using this compatibility relation, we define a simplicial complex which has colored almost positive real Schur roots as vertices and d-compatible subsets as simplices. If the valued quiver is an alternating quiver of a Dynkin diagram, then this complex is the generalized cluster complex defined by Fomin and Reading. Supported by the NSF of China (Grants 10471071) and by the Leverhulme Trust through the network ‘Algebras, Representations and Applications’.     

Spherical objects of the multiplicity free Brauer tree algebra with two edges

We explicitly describe all spherical objects, as well as tilting objects, of the multiplicity free Brauer tree algebra with two edges.     

Effects of oxidation and surface roughness on contact angle

Contact angle is known to be a parameter that effects boiling. This study was undertaken to measure contact angle of high and low surface tension fluids on copper and aluminum surfaces.Data were taken for polished, oxidized, and rough surfaces. A simple, yet fairly accurate method of measuring the static equilibrium contact angle of a solid/liquid interface is presented. The principles of a line light source and tilting plate were modified and then combined in the design of this apparatus. The angles obtained and their variation with the solid surface properties were in good agreement with previously published data. The contact angle of distilled water o of the organic fluids and refrigerants tested were in the range of 2–5°. Roughness and oxidation reduce the contact angle. If the depth of the roughness is less than 0.5 μm contact angle. The apparatus is fairly simple in construction, is inexpensive, and has good reproductibity. The measured angles were then compared to those measured with the sessile drop method.     

Realization of Tip Tilting By 8-Step Line Tilting

By direct calculation of rotation matrices of SO（3）, we show how certain specific sequence of eight consecutive rotations of digital angles can yield a tilting of a facet mirror. We also design a detailed program specifically to tilt an array of mirrors from planar orientation to the required focusing orientation. We describe how to use the 8-step to realize the focusing of the mirror array. We have found, in our designed program, an important feature of row-sharing during the rotations for the columns and similarly the column-sharing during the rotations for the row. This feature can save a lot of operating time during the actual realization of the mechanical movements.     

Structural Correlations in High-Spin Complexes of [Fe{HC(3,5-Me2pz)3}2]2+: Solid State Structure of [Fe{HC(3,5-Me2pz)3}2][Fe2OCl6]

Abstract  The cation in the solid state structure of [Fe{HC(3,5-Me₂pz)₃}₂][Fe₂OCl₆] (pz = pyrazolyl ring) contains an octahedral iron(II) center with an average Fe–N bond distance of 2.17 Å, indicating that the iron(II) is in the high-spin form. While M–N bond distances of this length with κ³-[HC(3,5-Me₂pz)₃] ligands generally cause tilting of pz to open up the “bite” angle, in this structure the average tilting angle is only 3.1°, a much lower value than observed in earlier structures of this same cation paired with different anions. The crystals are monoclinic, space group P2₁/n, with a = 11.1671(12) Å, b = 10.8091(11) Å, c = 17.4385(17) Å, α = γ = 90°, β = 95.685(2)°, and Z = 2. Graphical Abstract  The cation in the solid state structure of [Fe{HC(3,5-Me₂pz)₃}₂][Fe₂OCl₆] (pz = pyrazolyl ring) contains an octahedral iron(II) center in the high-spin form with unusual orientations of the pyrazolyl rings.      

振动系统结构参数估计的Taylor变换法

引入了求解非线性微分方程的 Taylor变换法 ,将振动系统原分析模型变换为离散域内的代数方程组 ,建立了估计系统质量、阻尼和刚度矩阵的方程。该方法可以利用任意外载激励下的瞬态响应估计系统的结构参数 ,而不需要进行系统的模态试验 ,具有一定的工程应用价值。文中还研究了测试信号受噪声干扰时的参数估计方法 ,最后给出了 30 0 T转炉倾动机构的参数估计实例。     

BBOⅠ类相位匹配光参量放大中群速失配的补偿

描述了在BBOⅠ类相位匹配的飞秒光参量放大（OPA）中，利用非共线结构和倾斜抽运光的脉 冲波面来完全补偿三波群速失配的方法.理论计算了三波群速匹配时，非共线角、相位匹配 角、抽运光的脉冲波面倾斜角随信号光波长的变化，并分析了对抽运光光斑尺寸的要求和对 空间走离长度的影响.结果表明，利用该方法不仅能够实现最大的参量带宽，而且能够完全 补偿飞秒OPA中三波的群速失配.此外，选取合适的抽运光光斑尺寸和非线性晶体的长度对提 高参量增益也至关重要. 关键词： 群速匹配 非共线相位匹配 脉冲波面倾斜 飞秒光参量放大