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Field-induced phase transitions in chiral smectic liquid crystals studied by the constant current method
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作者 H Dhaouadi R Zgueb +2 位作者 O Riahi F Trabelsi T Othman 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第5期373-379,共7页
In ferroelectric liquid crystals, phase transitions can be induced by an electric field. The current constant method allows these transition to be quickly localized and thus the(E, T) phase diagram of the studied pr... In ferroelectric liquid crystals, phase transitions can be induced by an electric field. The current constant method allows these transition to be quickly localized and thus the(E, T) phase diagram of the studied product can be obtained.In this work, we make a slight modification to the measurement principles based on this method. This modification allows the characteristic parameters of ferroelectric liquid crystal to be quantitatively measured. The use of a current square signal highlights a phenomenon of ferroelectric hysteresis with remnant polarization at null field, which points out an effect of memory in this compound. 展开更多
关键词 chiral smectic liquid crystal constant current method ferroelectric polarization dielectric permittivity
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Determination of elastic,piezoelectric,and dielectric constants of an R:BaTiO_3 single crystal by Brillouin scattering
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作者 何小亢 曾立波 +3 位作者 吴琼水 张丽艳 朱恪 刘玉龙 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第6期510-514,共5页
From the sound velocity measured using the Brillouin scattering technique, the elastic, piezoelectric, and dielectric constants of a high-quality monodomain tetragonal Rh:BaTiO3 single crystal are determined at room ... From the sound velocity measured using the Brillouin scattering technique, the elastic, piezoelectric, and dielectric constants of a high-quality monodomain tetragonal Rh:BaTiO3 single crystal are determined at room temperature. The elastic constants are in fairly good agreement with those of the BaTiO3 single crystal, measured previously by Brillouin scattering and the low-frequency equivalent circuit methods. However, their electromeehanical properties are significantly different. Based on the sound propagation equations and these results, the directional dependence of the compressional modulus and the shear modulus of Rh:BaTiO3 in the (010) plane is investigated. Some properties of sound propagation and electromechanical coupling in the crystal are discussed. 展开更多
关键词 Brillouin scattering elastic and piezoelectric constants Rh:BaTiO3 single crystal
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Study of surface cell Madelung constant and surface free energy of nanosized crystal grain
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作者 张维佳 王天民 +1 位作者 戎霭伦 催敏 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第4期692-696,共5页
Surface cell Madelung constant is firstly defined for calculating the surface free energy of nanosized crystal grains, which explains the physical performance of small crystals and may be greatly beneficial to the ana... Surface cell Madelung constant is firstly defined for calculating the surface free energy of nanosized crystal grains, which explains the physical performance of small crystals and may be greatly beneficial to the analysis of surface states and the study of the dynamics of crystal nucleation and growth. A new approximative expression of the surface energy and relevant thermodynamic data are used in this calculation. New formula and computing method for calculating the Madelung constant α of any complex crystals are proposed, and the surface free energies and surface electrostatic energies of nanosized crystal grains and the Madelung constant of some complex crystals are theoretically calculated in this paper. The surface free energy of nanosized-crystal-grain TiO2 and the surface electrostatic energy(absolute value) of nanosized-crystal-grain α-Al2O3 are found to be the biggest among all the crystal grains including those of other species. 展开更多
关键词 Madelung constant surface free energy nanosized crystal grain
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Transmission spectra characteristics of 1D photonic crystals with complex dielectric constant
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作者 GAO Yingjun CHEN Haibo +2 位作者 QIU Hongguang LU Qianghua HUANG Changgao 《Rare Metals》 SCIE EI CAS CSCD 2011年第2期150-154,共5页
The characteristics of photonic forbidden bands, transmission gain and absorption of one-dimensional (ID) dual-periodical photonic crystals (PC) with a complex dielectric layer were studied by using the optical tr... The characteristics of photonic forbidden bands, transmission gain and absorption of one-dimensional (ID) dual-periodical photonic crystals (PC) with a complex dielectric layer were studied by using the optical transfer matrix (TM) method. The results show that the photonic band gap (PBG) of this structure is enlarged and many transmission resonance peaks appear in PBG. Large transmission gain for transmission peaks is obtained if the imaginary part of dielectric constant is negative. With the increase of the absolute value of the imaginary part, the transmission gain increases firstly and the transmittance gain gets to an apex. The imaginary parts of dielectric constant corresponding to transmission gain apex are different according to wavelength. However, the transmission ratio of resonance peaks is less than 1 if the imagi- nary part of dielectric constant is positive. The properties might be used to design multi-narrow-channel band filters and optical amplification devices synchronously. 展开更多
关键词 photonic crystals one dimensional dielectric properties dielectric constant photonic band gap
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Study of Surface Cell Madelung Constant and Surface Free Energy of Nanosized Crystal Grain
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作者 ZHANG Wei-Jia WANG Tian-Min CUI Min 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2005年第12期1369-1374,共6页
Surface cell Madelung constant is firstly defined in calculating surface free energy of nanosized crystal grains, which explains the physical performance of small crystals and may be great benefit to make surface anal... Surface cell Madelung constant is firstly defined in calculating surface free energy of nanosized crystal grains, which explains the physical performance of small crystals and may be great benefit to make surface analysis and study dynamics of crystal nucleus growth. A new approximative expression of surface energy and relevant thermodynamic data was used in this calculation. A new formula and computing method for calculating the Madelung constant a of any complex crystals is proposed, and surface free energies and surface electrostatic energies of nanosized crystal grains as well as Madelung constant of some complex crystals are theoretically calculated in this paper. The surface free energy of nanosized crystal grain TiO2 and surface electrostatic energy(absolute value) of nanosized crystal grain α-A12O3 are found to be the biggest among other crystal grains. 展开更多
关键词 Madelung constant surface free energy nanosized crystal grain
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Modeling of Orientation-Dependent Photoelastic Constants in Cubic Crystal System
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作者 Lubna Jahan Rashid Pinky Shakila Islam +2 位作者 Md. Nur Kutubul Alam Mohammad Arif Hossain Md. Rafiqul Islam 《Materials Sciences and Applications》 2014年第4期223-230,共8页
Euler’s rotation theorem and tensor rotation technique are applied to develop a generalized mathematical model for determining photoelastic constants in arbitrary orientation of cubic crystal system. Two times rotati... Euler’s rotation theorem and tensor rotation technique are applied to develop a generalized mathematical model for determining photoelastic constants in arbitrary orientation of cubic crystal system. Two times rotations are utilized in the model relating to crystallographic coordinates with Cartesian coordinates. The symmetry of photoelastic constants is found to have strong dependence with rotation angle. Using the model, one can determine photoelastic constants in any orientation by selecting appropriate rotation angle. The outcome of this study helps to characterize spatial variation of residual strain in crystalline as well as polycrystalline materials having cubic structure using the experimental technique known as scanning infrared polariscope. 展开更多
关键词 Mathematical Modeling Photoelastic constantS ARBITRARY crystal ORIENTATION Euler’s ROTATION THEOREM TENSOR ROTATION Technique
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基于驯服钟控技术的时间频率源设计
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作者 张驿 陈凌 袁田 《电子质量》 2024年第3期36-40,共5页
标准时间频率信号是系统高效工作的基石,越来越高的时间频率测量精度对时频信号的产生提出了高稳定高准确度的要求。介绍了时间频率源的基本概念,阐述了一种基于驯服钟控技术的高稳定度高准确度时间频率源的基本工作原理及其设计,其输... 标准时间频率信号是系统高效工作的基石,越来越高的时间频率测量精度对时频信号的产生提出了高稳定高准确度的要求。介绍了时间频率源的基本概念,阐述了一种基于驯服钟控技术的高稳定度高准确度时间频率源的基本工作原理及其设计,其输出的频率信号短期稳定度可达1.46×10-13/s。该设计方案已经成功应用于多个车载测控通信系统。 展开更多
关键词 驯服钟控 时间频率基准 恒温晶振 工作原理 设计
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液晶汽车仪表LED背光硬件电路分析与设计
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作者 李菲 张晓荣 《内燃机与配件》 2024年第3期93-96,共4页
为了使液晶汽车仪表的背光灯在受到外界电气干扰的情况下能够保持稳定的输出电流、亮度不发生变化,对已使用的三种汽车仪表LED背光电路进行了研究和分析,提出了一种稳定性较高的硬件电路设计——仪表LED恒流源电路。该电路可通过调节精... 为了使液晶汽车仪表的背光灯在受到外界电气干扰的情况下能够保持稳定的输出电流、亮度不发生变化,对已使用的三种汽车仪表LED背光电路进行了研究和分析,提出了一种稳定性较高的硬件电路设计——仪表LED恒流源电路。该电路可通过调节精密电阻值来调节LED背光灯的亮度,设计方案简单、调整电流便捷、成本较低,在液晶汽车仪表市场中具有较高的应用价值。 展开更多
关键词 液晶汽车仪表 LED背光 瞬态抑制二极管 恒流源
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用于材料毫米波介电特性测试的光子晶体谐振器研究
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作者 曾玲 傅文杰 +4 位作者 鲁钝 鄢扬 黎晓云 柳建龙 曾葆青 《真空电子技术》 2024年第2期68-73,共6页
在微波能应用研究中,材料的介电特性是其重要特性,决定了材料被微波的处理能力。为开展毫米波频域的微波能应用研究,本文研究了一种用于材料毫米波介电特性测试的光子晶体谐振器。该谐振器基于三角晶格分布的光子晶体结构,所设计介质光... 在微波能应用研究中,材料的介电特性是其重要特性,决定了材料被微波的处理能力。为开展毫米波频域的微波能应用研究,本文研究了一种用于材料毫米波介电特性测试的光子晶体谐振器。该谐振器基于三角晶格分布的光子晶体结构,所设计介质光子晶体的带隙为87~107 GHz。在其基础上,通过增加线缺陷和两个锥形结构形成直接与WR-10波导相连接的介质光子晶体波导,通带范围为88~99 GHz。在此介质光子晶体波导的中心增加直径为d=0.51 mm的通孔,构成光子晶体谐振器。向谐振器中心通孔放入待测量的介质材料,待测材料的介电常数将对谐振腔的谐振频率产生影响,通过测量谐振频率的变化,则可得到待测材料在88~99 GHz频段的介电常数。通过CST仿真研究,所设计的结构可以对高介电常数材料的介电特性进行测试,可测量材料的介电常数测量范围在67~94.5 GHz之间。 展开更多
关键词 光子晶体 介电常数 谐振频率
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Theoretical and experimental investigations of flexural wave propagation in periodic grid structures designed with the idea of phononic crystals 被引量:7
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作者 温激鸿 郁殿龙 +2 位作者 刘竞文 肖勇 温熙森 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第6期2404-2411,共8页
The propagation characteristics of flexural waves in periodic grid structures designed with the idea of phononic crystals are investigated by combining the Bloch theorem with the finite element method. This combined a... The propagation characteristics of flexural waves in periodic grid structures designed with the idea of phononic crystals are investigated by combining the Bloch theorem with the finite element method. This combined analysis yields phase constant surfaces, which predict the location and the extension of band gaps, as well as the directions and the regions of wave propagation at assigned frequencies. The predictions are validated by computation and experimental analysis of the harmonic responses of a finite structure with 11 × 11 unit cells. The flexural wave is localized at the point of excitation in band gaps, while the directional behaviour occurs at particular frequencies in pass bands. These studies provide guidelines to designing periodic structures for vibration attenuation. 展开更多
关键词 phononic crystal phase constant surface grid structure
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Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals 被引量:1
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作者 张斯淇 陆景彬 +6 位作者 梁禺 马季 李宏 李雪 刘晓静 吴向尧 孟祥东 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第2期242-249,共8页
Two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the functions of space coordinates , are proposed and studied numerically. The band gaps structures of the photonic c... Two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the functions of space coordinates , are proposed and studied numerically. The band gaps structures of the photonic crystals for TE and TM waves are different from the two-dimensional conventional photonic crystals. Some absolute band gaps and semiDirac points are found. When the medium column radius and the function form of the dielectric constant are modulated, the numbers, width, and position of band gaps are changed, and the semi-Dirac point can either occur or disappear. Therefore,the special band gaps structures and semi-Dirac points can be achieved through the modulation on the two-dimensional function photonic crystals. The results will provide a new design method of optical devices based on the two-dimensional function photonic crystals. 展开更多
关键词 two-dimensional photonic crystals function dielectric constants band gaps structures
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液晶聚合物纤维布应用于高速覆铜板实验研究
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作者 邱银 张友梅 +2 位作者 顾苇 叶珠阳 王顺程 《印制电路信息》 2024年第3期9-11,共3页
以碳氢树脂与聚苯醚树脂为材料,比较液晶聚合物(LCP)纤维布与一般玻璃纤维布的特性。实验结果表明,碳氢树脂配方搭配LCP纤维布可得到介电常数D_(k)=2.697,介电损耗D_(f)=0.00277的覆铜板(CCL),其电性能数据接近聚四氟乙烯(PTFE)产品。
关键词 液晶聚合物(LCP) 碳氢树脂 覆铜板(CCL) 介电常数 介电损耗
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Crystallization Kinematics and Dielectric Behavior of (Ba,Sr)TiO3 Borosilicate Glass Ceramics 被引量:1
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作者 Avadhesh Kumar Yadav Chandkiram Gautam Prabhakar Singh 《New Journal of Glass and Ceramics》 2012年第3期126-131,共6页
Perovskite [(Ba0.6Sr0.4)TiO3]-[2SiO2-B2O3]-[K2O]-La2O3 glass was prepared by conventional melt quench method. The differential thermal analysis (DTA) was performed on glass sample in the temperature range from 100℃ t... Perovskite [(Ba0.6Sr0.4)TiO3]-[2SiO2-B2O3]-[K2O]-La2O3 glass was prepared by conventional melt quench method. The differential thermal analysis (DTA) was performed on glass sample in the temperature range from 100℃ to 1000℃ by different heating rate to study the crystallization kinematics. The kinetic parameters characterizing the crystallization have been determined using an Arrhenius model. Glass samples were subjected to appropriate heat treatment schedules for their suitable crystallization. X-ray diffraction analysis (XRD) of glass and glass ceramic samples were done to check the amorphous state and crystalline nature. XRD of glass ceramic sample shows the major perovskite phase of BaTiO3 (BT) along with the formation of secondary phases Ba2TiSi2O8 (BTS) and Ba2Ti2B2O9 (BTB). Scanning electron microscopy (SEM) is also studied to see the morphology of the grains of major and secondary phase formation in BST glass ceramic samples. La2O3 is played an important role to increase the nucleation of the crystallites in the glassy matrix. The addition of La22O3 results in development of well interconnected crystallites formed as major phase of BST. In this paper, we are reporting the crystallization behavior of BST borosilicate glass system and high temperature dielectric characteristics of their glass ceramics. 展开更多
关键词 BST Glass Ceramics DTA crystalLIZATION XRD SEM Dielectric constant
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Effects of Na_2O content on crystallization and dielectric properties of Na_2O-PbO-Nb_2O_5-SiO_2 glass-ceramic
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作者 GAO Jian MAO Changhui DU Jun TANG Qun 《Rare Metals》 SCIE EI CAS CSCD 2006年第z2期246-249,共4页
Na2O-PbO-Nb2O5-SiO2 glass-ceramic were synthesized by melt-quench process. The crystallization processing of the dielectric phases were carried out at temperature range from 750 to 900 ℃. The effects of Na2O content ... Na2O-PbO-Nb2O5-SiO2 glass-ceramic were synthesized by melt-quench process. The crystallization processing of the dielectric phases were carried out at temperature range from 750 to 900 ℃. The effects of Na2O content on crystallization and dielectric properties of Na2O-PbO-Nb2O5-SiO2 glass-ceramic were investigated by means of differential thermal analysis(DTA), X-ray diffraction (XRD) and dielectric constant measurements. The results show that Pb2Nb2O7, NaNbO3 and PbNb2O6 are the crystallization phases which would be formed from the Na2O-PbO-Nb2O5-SiO2 glass at the temperature range from 750 to 900 ℃. For a definite Na2O content, the dielectric constant increases with crystallization temperature. The initial crystallization temperature of NaNbO3 phase decreases with the increase of Na2O content, leading to the increase of dielectric constant of the glass-ceramic. Formation of PbNb2O6 phase at 850 and 900 ℃ would greatly increase the dielectric constant of Na2O-PbO-Nb2O5-SiO2 glass-ceramics, but the increase of Na2O content will inhibit the crystallization of PbNb2O6 phase. 展开更多
关键词 GLASS-CERAMIC crystalLIZATION dielectric constant
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Study of the behaviour of the dielectric constant in Cu,Fe:BaTiO_3
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作者 Alioune OUEDRAOGO Kalifa PALM +1 位作者 Issaka OUEDRAOGO Guy CHANUSSOT 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2008年第3期429-434,共6页
In this work we study the behaviour of the dielectric constant of BaTiO3 single crystals doped with Cu and Fe for different ion percentages, particularly, the influence of these heterovalent substitutions on the ferro... In this work we study the behaviour of the dielectric constant of BaTiO3 single crystals doped with Cu and Fe for different ion percentages, particularly, the influence of these heterovalent substitutions on the ferroelectric-paraelectric phase transition whose temperature is found at Tc=120 °C for pure samples. The dielectric constant ε in terms of temperature shows that the Curie temperature decreases when the quantity of impurities increases and presents a broadening and flattering of the maxi-mum of ε(T) within higher values, with the transition becoming more and more diffuse. It is interesting to have a material with very high permittivity (high-k) because of its capacity to store an important quantity of electric charges. The ε anisotropy and the Curie-Weiss law are also verified with a good ratio between the slopes of ε-1(T) from both sides of the transition, leading to a Curie constant:C=13×104 K for BaTiO3:1.6%Fe in the polar phase. BaTiO3 is a displacive ferroelectric going through a first-order phase transition. The substitutions have an effect on the dynamics of the perovskite lattice. They induce charges transfer to Ti and a diminution of elastic forces in BaTiO3. Then we discuss the fact that the maximum of permittivity does not depend on the phase transition but on the nature of the material. 展开更多
关键词 电容率 化合物 晶体
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Growth, Optical, Mechanical and Dielectric Properties of Glycine Zinc Chloride NLO Single Crystals 被引量:1
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作者 S. Suresh D. Arivuoli 《Journal of Minerals and Materials Characterization and Engineering》 2011年第12期1131-1139,共9页
Single crystals of Glycine Zinc Chloride (GZC) were grown from aqueous solution by slow evaporation technique. Single crystal X-ray diffraction analysis reveals that the crystal belongs to orthorhombic system with the... Single crystals of Glycine Zinc Chloride (GZC) were grown from aqueous solution by slow evaporation technique. Single crystal X-ray diffraction analysis reveals that the crystal belongs to orthorhombic system with the space group Pna21.The optical transmission study reveals the transparency of the crystal in the entire visible region and the cut off wavelength has been found to be 230 nm. The optical band gap is found to be 3.40eV. The transmittance of GZC crystal has been used to calculate the refractive index (n), the extinction coefficient (K) and the real er and imaginary ei components of the dielectric constant. Mechanical studies were carried out on the as grown crystal. Dielectric constant and dielectric loss measurements were carried out at different temperatures and frequencies. Photoconductivity measurements carried out on the grown crystal reveal the negative photoconducting nature. 展开更多
关键词 Solution GROWTH Single crystal XRD OPTICAL transmission DIELECTRIC constant and loss Photoconductivity.
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Synthesis, Characterization, Crystal Structure and Stability of a Ternary Cu(Ⅱ) complex with 1,10-Phenanthroline and L-Valinate
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作者 ZHOUXiao-hua LEXue-yi +1 位作者 LONGLa-sheng CHENShi 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2005年第1期119-122,共4页
关键词 Copper(Ⅱ) complex L-VALINE 1 10-PHENANTHROLINE crystal structure Stability constant
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Influence of Gravity on Structure of Colloidal Crystal Using Simulated Microgravity
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作者 Lei Liu Jie Wang +2 位作者 Sheng-hua Xu Zhi-wei Sun Jing-tong Wang 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2009年第1期41-45,共5页
水和重氢氧化物的液体混合物作为液体分阶段执行,被用来匹配控告的胶体的粒子的密度。Kossel 衍射方法被用来检测水晶结构。实验在下面匹配密度(g = 0 ) 并且无敌(g= 1 ) 条件与相比在结构形成了由的水晶上检验严肃的影响 110 nm 自己... 水和重氢氧化物的液体混合物作为液体分阶段执行,被用来匹配控告的胶体的粒子的密度。Kossel 衍射方法被用来检测水晶结构。实验在下面匹配密度(g = 0 ) 并且无敌(g= 1 ) 条件与相比在结构形成了由的水晶上检验严肃的影响 110 nm 自己组装(在直径) 聚苯乙烯微范围。结果证明严肃趋于在更低的位置使胶体的晶体的格子常数更小,它显示严肃的效果应该在胶体的晶体的学习被考虑。 展开更多
关键词 晶格常数 液体混合物 氘氧化物 晶体结构 带电胶体粒子
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Crystallization of Cellobiohydrolase in the Presence of Cellulose-Degraded Cellobiose: Analysis of Intermolecular Interactions and Association Dynamics
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作者 Kazuo Onuma Naoki Furubayashi +4 位作者 Fujiko Shibata Yoshiko Kobayashi Sachiko Kaito Yuki Ohnishi Koji Inaka 《Journal of Crystallization Process and Technology》 2014年第1期1-13,共13页
Crystallization of enzymes in presence of impurities is important for clarifying the role of enzymes in natural world. Although it is proposed that impurities inhibit nucleation of enzyme crystallization, details are ... Crystallization of enzymes in presence of impurities is important for clarifying the role of enzymes in natural world. Although it is proposed that impurities inhibit nucleation of enzyme crystallization, details are unclear. In this study, crystallization of cellobiohydrolase from Aspergillus niger was investigated by dynamic and time-resolved static light scattering using cellobiose as an impurity. We aimed to clarify how cellobiose inhibits cellobiohydrolase crystallization and to crystallize cellobiohydrolase in concentrated cellobiose without using seeds. The contribution of attractive forces to total intermolecular interactions of cellobiohydrolase monomers increased with the molar ratio of cellobiose/cellobiohydrolase (R(cb/ce)). Association dynamics of cellobiohydrolase using lithium sulfate, however, showed that the initial aggregation rate decreased with an increase in R(cb/ce). Because binding sites of cellobioses to cellobiohydrolase molecules differed from those for the growth of protein crystals, the binding of cellobioses would increase the chemical potential of the cellobiohydrolase monomers, which gradually reduced supersaturation for growth as the aggregate size increased. This result was in contrast with the conventional idea that cellobiose inhibits the nucleation of cellobiohydrolase crystals. Gentle agitation of cellobiose-containing cellobiohydrolase solutions during sitting-drop vapor-diffusion growth resulted in the growth of cellobiohydrolase single crystals for all R(cb/ce) conditions without using seeds. 展开更多
关键词 ENZYME crystalLIZATION INHIBITOR Hamaker constant Light Scattering
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Third-order elastic, piezoelectric, and dielectric constants
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作者 Yanming ZHANG Jun JIN Hongping HU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第12期1831-1846,共16页
The definitions of the third-order elastic,piezoelectric,and dielectric constants and the properties of the associated tensors are discussed.Based on the energy conservation and coordinate transformation,the relations... The definitions of the third-order elastic,piezoelectric,and dielectric constants and the properties of the associated tensors are discussed.Based on the energy conservation and coordinate transformation,the relations among the third-order constants are obtained.Furthermore,the relations among the third-order elastic,piezoelectric,and dielectric constants of the seven crystal systems and isotropic materials are listed in detail.These third-order constants relations play an important role in solving nonlinear problems of elastic and piezoelectric materials.It is further found that all third-order piezoelectric constants are 0 for 15 kinds of point groups,while all third-order dielectric constants are 0 for 16 kinds of point groups as well as isotropic material.The reason is that some of the point groups are centrally symmetric,and the other point groups are high symmetry.These results provide the foundation to measure these constants,to choose material,and to research nonlinear problems.Moreover,these results are helpful not only for the study of nonlinear elastic and piezoelectric problems,but also for the research on flexoelectric effects and size effects. 展开更多
关键词 THIRD-ORDER ELASTIC constant THIRD-ORDER PIEZOELECTRIC constant nonlinear THIRD-ORDER dielectric constant crystal COORDINATE transformation TENSOR
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