Decomposition of Cartan matrix and conjectures on Brauer character degrees

设g为有限群,n是g的正规子群.记J=J(f[n])为f[n]的JACObSOn根,I=Ann(J)={α∈f[g]|Jα=0}为J在f[g]中的零化子.本文主要研究了,根据f[g/n]和f[g]/I的CArTAn矩阵,分解f[g]的CArTAn矩阵.这种分解在CArTAn不变量和g的合成因子之间建立了一些联系.本文指出n中P-亏零块的存在性依赖于CArTAn不变量或者I在f[g]中的性质,证明了CArTAn矩阵的分解部分地依赖于b所覆盖的n中的块的性质.本文研究了b为n上的块且l(b)=1时,覆盖b的g中的块b的性质.在两类情形下,本文证明了块代数上关于brAuEr特征标次数的猜想成立,涵盖了HOlM和WIllEMS研究的某些情形.进而对HOlM和WIllEMS提出的问题给出了肯定的回答.另外,本文还给出了CArTAn不变量的一些其它结果.Let G be a finite group and N a normal subgroup of G.We denote by J = J(F [N]) the Jacobson radical of F [N] and by I = Ann(J) = {α ∈ F [G]|Jα = 0} the annihilator of J in F [G].In this paper, we study the decomposition of Cartan matrix of F [G] in terms of that of F [G/N] and F [G]/I.This decomposition establishes some connections between Cartan invariants and chief composition factors of G.We will prove that existing zero-defect p-blocks in N depend on the properties of I in F [G] or Cartan invariants.We shall demonstrate that the decomposition of Cartan matrix partly depends on properties of blocks in N covered by B.We are mainly concerned with the block B of G which covers a block b of N with l(b) = 1.In two cases, we will prove that the conjectures on Brauer character degrees hold for the block algebras, covering some cases studied by Holm and Willems.Furthermore we give an affirmative answer to the question raised by Holm and Willems in our cases.Some other results about Cartan invariants are presented here

金属纳米结构表面等离激元共振增强光电化学反应

联合多个外场协同相互作用,表面等离激元共振(SPR)效应用于调控表面反应,可以进一步提高反应效率和选择性。在本文中,我们研究了在外加光场的作用下,通过电位对金属电极费米能级的调控,实现对SPR能量的调控,从而调节SPR弛豫产生热电子和热空穴的能量,研究SPR增强化学反应的光电协同机制,调控金属纳米结构(NPs)光电化学界面反应的选择性和效率。国家自然科学基金项目(21533006,21621091)资

各种过渡金属、合金和半导体电极上的表面拉曼光谱

各种过渡金属、合金和半导体电极上的表面拉曼光谱高劲松任斌黄群健王仲权蔡文斌李筱琴刘峰名佘春兴田中群（厦门大学固体表面物理化学国家重点实验室化学系物理化学研究所361005）SurfACErAMAnSPECTrOSCOPyOfTrAnSITIOnME...国家自然科学基金委;国家教委资

多重荧光PCR同时检测转基因成分35S和Nos方法的建立

根据商品化转基因作物中常用的花椰菜花叶病毒启动子 (CaMV 35S)和根癌农杆菌终止子 (Nos)的序列特点 ,设计并合成了两对引物和相对应的荧光双链探针 ,建立一种应用荧光双链探针的多重荧光PCR同时检测转基因成分 35S启动子和Nos终止子的方法 .并利用该方法对马铃薯、大豆、玉米、甜椒、番茄等 11份实物样品进行了检测 ,其中有 5份样品结果阳性 .结果表明所建立的多重荧光PCR方法能同时检测出 35S和Nos双组分 ,较常规PCR技术更为简便、快速、准确 ,有很好的应用前景

圣·约翰草提取物片治疗抑郁障碍专家共识

结合循证医学证据,本文归纳圣·约翰草提取物片治疗抑郁障碍的专家共识

Transition from tunneling leakage current to molecular tunneling in single-molecule junctions

数十年来，半导体工业一直遵循基于“摩尔定律”所设定的发展蓝图，逐步提升集成电路芯片上晶体管的集成度和运行速度，减小器件尺寸。为探索这一尺寸极限，课题组基于机械可控裂结技术自主开发了具有飞安级电学测量和亚纳米级位移控制灵敏度的科学仪器，在国际上首次获取了一系列具有不同重复单元的寡聚苯乙炔类分子电导随电极间距的演变关系，并发现随着电极间距的缩小，器件电输运由通过分子器件电流占主导逐步转变到由隧穿漏电流占主导。对于本研究中具有最小尺寸的寡聚苯乙炔分子器件，其由于隧穿漏电流所制约的尺寸极限可小至0.66 nm，预示了有机分子器件在未来电子器件小型化方面具有重要的应用潜力。 这一研究工作是在化学化工学院洪文晶教授、萨本栋微纳研究院杨扬助理教授以及英国Durham University的MartinR. Bryce教授共同指导下完成的。能源材料化学协同创新中心iChEM Fellow刘俊扬博士为论文第一作者，博士研究生郑珏婷、李瑞豪和硕士研究生黄晓艳、唐永翔、皮九婵、本科生王飞等参与了研究工作。田中群教授、毛秉伟教授和师佳副教授为论文工作提供了重要指导。【Abstract】The tunneling leakage current will be a major quantum obstacle during miniaturization in the semiconductor industry down to the scale of several nanometers. At this scale, to promote charge transport and overcome the tunneling leakage current between the source and drain terminals, molecular electronic junctions offer opportunities by inserting molecules between these two electrodes. Employing a series of oligo(aryleneethynylene) (OAE) molecules, here we investigate the transition from tunneling leakage current to molecular tunneling in the single-molecule devices using mechanically controllable break junction (MCBJ) technique, and the transition distances of the OAE molecular junctions were determined and even down to 0.66 nm for OAE2 molecular junction, which demonstrates that the intrinsic charge transport properties of a single-molecule device can be outstripped from the tunneling leakage current. Consequently, molecular electronic devices show the potential to push the ultimate limit of miniaturization to the scale of several angstroms.This work was supported by the National Key R&D Program of China (2017YFA0204902). This work was also generously supported by the Young Thousand Talent Project of China, the EC FP7 ITN “MOLESCO” project number 606728, the National Natural Science Foundation of China (nos. 21703188, 21673195, 21503179), and the China Postdoctoral Science Foundation (2017M622060). 该工作获得科技部国家重点研发计划课题（2017YFA0204902），国家自然科学基金委（21673195、21703188、21503179）以及中国博士后科学基金（2017M622060）等项目的资助，也得到了固体表面物理化学国家重点实验室、能源材料化学协同创新中心的支持

Single-Molecule Plasmonic Optical Trapping

人们对于在常温常压条件下尤其是溶液环境中俘获或者操控微观粒子的追求从未停止，以期不断减少可操控的微观粒子的尺寸，最终实现单分子操控的目标。化学化工学院田中群教授和洪文晶教授团队合作，利用等离激元光学纳米间隙实现单分子的直接捕获与释放。该工作由化学化工学院田中群教授、洪文晶教授以及萨本栋微米纳米科学技术研究院杨扬副教授共同指导，由化学化工学院已毕业博士生战超提出思路并设计实验、与萨本栋微米纳米研究院已毕业硕士生王干共同完成主要实验工作，已毕业博士生易骏完成理论模拟工作。魏珺颖硕士、博士生李之豪、陈招斌高工和师佳副教授参与了部分研究和课题讨论。【Abstract】The volume of the object that can be manipulated in solution is continuously decreasing toward an ultimate goal of a single molecule. However, Brownian motions suppress the molecular trapping. To date, free-molecule trapping in solution has not been accomplished. Here, we develop a strategy to directly trap, investigate, and release single molecules (∼2 nm) in solution by using an adjustable plasmonic optical nanogap, which has been further applied for selective single-molecule trapping. Comprehensive experiments and theoretical simulations demonstrated that the trapping force originated from plasmonic nanomaterials. This technique opens an avenue to manipulate single molecules and other objects in the size range of primary interest for physics, chemistry, and life and material sciences without the limitations of strong bonding group, ultra-high vacuum, and ultra-low temperature, and makes possible controllable single-molecule manipulation and investigation as well as bottom-up construction of nanodevices and molecular machines.This work is financially supported by the National Natural Science Foundation of China (21533006, 21621091, 21673195, 21973079, and 21722305), and the National Key R&D Program (2017YFA0204902, 2015CB932300). 该工作得到国家自然科学基金、国家重点研发计划课题的资助，以及固体表面物理化学国家重点实验室、能源材料化学协同创新中心的支持

The Evaluation Study of Landslide Potential and Landslide Volume in Reservoir Watersheds (I3)

淺層崩塌及深層滑動的發生往往造成泥砂運移與土壤破壞的現象。而崩塌往往會形成水土災害的問題，更是台灣地區水庫主要的泥砂來源。雖然可以透過清淤來延展水庫壽命，以及利用各種方法來改善水質，但均不如以集水區泥砂管理方式來得有效。而崩塌的研究與控制便是一條捷徑。 本研究乃提出一評估集水區崩塌潛勢與崩塌土方量的方法。嘗試就水庫集水區型態與崩塌之關係加以分類及探討，且針對水庫集水區現地調查之資料與崩塌理論之分析研究，進而建立崩塌評估模式以改善崩塌量化之估算。除可作為水庫管理單位應用外，更可供未來集水區治理規劃之參考。Shallow and deep landslide can dominate sediment transport in steep, soil-mantled landscapes. Landslides are also a serious problem causing soil and water disasters and are the major sediment source of watersheds in Taiwan？H？Hs reservoirs. Although reservoirs can dredge to prolong their life spans, as well as use the treatment to improve the water quality. However, it is far better to achieve those purposes through effective watershed sediment management. The landslide research and control are the easiest way. This study proposes the landslide potential assessment and the estimation of landslide volume in watersheds. We are planning to study and classify the relation between the landslide and landform of the watersheds. According analysis of the field data and landslide theory, we can develop a landslide predicting method to improve the estimation of amount of landslide. In the future, the results should be practical and convenient in planning and evaluating the reservoirs conservation by way of applying the evaluation model of the watershed sediment management

The Evaluation Study of Landslide Susceptibility and Landslide Size in Reservoir Watersheds (3/3)

淺層崩塌及深層滑動的發生往往造成泥砂運移與土壤破壞的現象。而崩塌往往會形成水土災害的問題，更是台灣地區水庫主要的泥砂來源。雖然可以透過清淤來延展水庫壽命，以及利用各種方法來改善水質，但均不如以集水區泥砂管理方式來得有效。崩塌的研究與控制便是一條捷徑。本計畫上一年度乃著重於建構降雨誘發崩塌潛勢評估模式、估算邊坡崩塌量及推估泥砂遞移率之研究。延續上年度之成果，今年進一步修訂評估集水區崩塌潛勢與崩塌土方量的方法，亦將修正邊坡崩塌量、集水區土砂產量及運移之估算。希冀可供水庫管理單位之應用，及未來集水區治理規劃之參考。Shallow and deep landslide can dominate sediment transport in steep, soil-mantled landscapes. Landslides are also a serious problem causing soil and water disasters and are the major sediment source of watersheds in Taiwan's reservoirs. Although reservoirs can dredge to prolong their life spans, as well as use the treatment to improve the water quality. However, it is far better to achieve those purposes through effective watershed sediment management. The landslide research and control are the easiest way.Last year, the study focused on establishing the assessment model for the landslide potential caused by rainfall events, the evaluation of the landslide sizes, and the sediment delivery ratios of the sub-watersheds. This study will continue the result of the program, entitled "The Evaluation Study of Landslide Potential and Landslide Volume in Reservoir Watersheds (2/3)," and amend the landslide potential assessment and the estimation of landslide volume in watersheds. Furthermore, the research will correct the evaluation of the landslide size and the sediment yield of the watersheds. In the future, the results should be practical and convenient in planning and evaluating the reservoirs conservation by way of applying the evaluation model of the watershed sediment management

A Note on the Isomorphisms of the Semidirect Product

给定一个有限群N和H,满足Gφ=N■φH和Gψ=N■ψH,在互素的前提下,给出了半直积同构的一个充分必要条件.由此给出了当算子群是循环群时,计算半直积同构类个数的一个方法.作为上述结论的应用,简明地算出了24阶群的完全同构分类.Let Gφ=NφH and Gψ=NψH be two semi-direct products of N and H.We give a sufficient and necessary condition for Gφ≌Gψ.This offers a way to calculate the number of different Gφ(up to isomorphism).If H is a cyclic group,we have another way to calculate the number of different Gφ(up to isomorphism).As a application,we have a simple way to calculate the isomorphic types of groups of order 24