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1.
$ G $是一个$ n $$ k $圈图, $ k $圈图为边数等于顶点数加$ k-1 $的简单连通图。$ \mu_{1}(G) $$ \mu_{2}(G) $分别记为图$ G $的Laplace矩阵的最大特征值和次大特征值, 图$ G $的Laplace分离度定义为$ S_{L}(G)=\mu_{1}(G)-\mu_{2}(G) $。本文研究了给定阶数的$ k $圈图的最大Laplace分离度, 并刻画了相应的极图, 其结果推广了已有当$ k=1, 2, 3 $时的结论。  相似文献   
2.
由于正极活性物质硫具有能量密度高、成本低廉和储量丰富等优点,锂硫(Li-S)电池受到了人们的极大关注。然而,锂硫电池充放电过程中产生的多硫化锂的“穿梭效应”严重阻碍了其实用化进程。为了解决这个问题,本研究借助动物软骨的组成和结构特点,制备了纳米羟基磷灰石@多孔碳(nano-HA@CCPC)复合材料,并以此设计了面向正极的锂硫电池隔膜涂层。研究表明,纳米羟基磷灰石不仅对多硫化物具有吸附固定作用,并且对多硫化锂的转化具有催化作用,加快了多硫化锂的氧化还原动力学,有效地提升了活性物质硫的利用率。另外,软骨基碳复合材料的多孔结构形成了很好的导电网络,为电化学反应提供了优良的电子传导路径;也有利于电解液的浸润,加快了离子传输;碳的氮原子掺杂进一步限制了多硫化物的穿梭效应。因此,采用nano-HA@CCPC隔膜涂层的锂硫电池表现出较长的循环寿命、低的容量损失以及高的倍率性能。在0.5 C下,循环325次后,电池仍然能保持815 mAh·g-1的放电比容量,并且每次的容量衰减率仅为0.051%。nano-HA@CCPC的设计制备将为锂硫电池的发展提供新材料。  相似文献   
3.
以聚偏氟乙烯(PVDF)和硅藻土为原料,通过静电纺丝法制备PVDF@硅藻土复合纤维膜,用于锂离子电池隔膜。 研究了隔膜的吸液率、热稳定性和电化学性能等。 添加硅藻土可有效提高复合膜的电解液吸收率和电化学性能,其中吸液率可达623.6%,相比于PVDF膜和聚丙烯(PP)膜具有优异的循环性能和倍率性能。  相似文献   
4.
Wave-plate separators are widely used to remove fine liquid droplet entrained in gas flow based on the inertia force difference of gas and liquid phase. The CFD method is adopted to simulate the separating process of wave-plate separator, the models and parameters used in the simulation were verified through comparing with the experimental data. It is validated that including the droplet coalescence and breakup model, which take place during the separating process, can depict the separating process better. The results indicate that the separation efficiency of wave-plate separator presents two peaks with the increasing of the separating velocity, the first peak is caused by gravity and the second peak is formed for the inertia separation, whereas with the increasing of the droplet diameter, the two peaks are no longer distinct. In addition, the separation efficiency is changed little with droplet diameter variation if the wave-plate separator is worked on the corresponding velocities of the two peaks, and changed a lot at other velocity. Researching results about droplet breakup also showed that only large diameter droplet will break up at lower flow velocity, and the droplet breakup diameter became smaller and smaller with the increasing of the flowing velocity.  相似文献   
5.
Lithium-ion batteries (LIBs)have attracted wide attention because of their broad prospects in electric vehicles. However,the safety problems and low multiplier performance of the commercial polyolefin separator limit their further development,due to the poor dimensional thermal stability and low electrolyte absorption rate. Poly(ether ether ketone)(PEEK)and carbon nanotube(CNT)are compounded to coat on polypropylene (PP) to prepare Janus composite separator (PP@C) through the phase inversion method. PP@C composite separator does not deform at 180 ℃ for 0. 5 h(only slight deformation),illustrating excellent thermal stability. The electrolyte absorption rate of PP@C2 is 193. 8%. The electrolyte uptake rate of the PP@C2 composite membrane was 193. 8%,which was 64. 5% higher than the PP membrane,showing a superduper electrolyte permeability. As a result,the specific discharge capacity of LIBs assembled with PP@C2 composite separator is 157. 6 mA·h/g at 0. 2 C and 129. 8 mA·h/g at 2 C,showing good rate performance with the capacity recovery rate of more than 99%. This might be attributed to the ultra-high thermal stability of PEEK,the good affinity of the electrolyte,the high conductivity of CNT,as well as the uniform dispersion of Li+ ,so that the separator can have excellent electrochemical performance while improving safety. © 2022, Science Press (China). All rights reserved.  相似文献   
6.
Lithium-ion batteries have been developing intensively and earn an unprecedented reputation, yet advanced performance and safety issue still require considerable investigation. Separator is vital to comprehensive properties of batteries, where the mechanical properties are key to breaking through of new-type separator. Unfortunately, electrolyte submersion has caused damage to strength of cellulose separator. Whereupon, in this work, cellulose separator is optimized by introducing lignin particles to promote electrolyte-immersed mechanical strength. Experiments are conducted concerning surface morphology, contact angle, porosity, electrolyte uptake, mechanical properties and electrochemical performance. Molecular simulation is implemented to explore the mechanism of tensile behavior of cellulose and lignin subjected to electrolyte solvents. Experimental results confirm positive effect of lignin addition in improving mechanical properties and simultaneously maintaining impressive electrochemical performance of the cellulose/lignin composites separators. Besides, lignin addition amount of 2.5% and 5% is recommended to achieve promising overall properties. Molecular simulation has successfully unveiled that weakening of cellulose separator submerged in electrolyte is resulted by the deformed cellulose amorphous region and the promoting effect of adding lignin is contributed from the new hydrogen bonds generated between cellulose and lignin molecules. Hopefully, this work provides novel insight on preparing remarkable separator and mechanism of materials behavior.  相似文献   
7.
The Cayley-Bacharach Property (CBP), which has been classically stated as a property of a finite set of points in an affine or projective space, is extended to arbitrary 0-dimensional affine algebras over arbitrary base fields. We present characterizations and explicit algorithms for checking the CBP directly, via the canonical module, and in combination with the property of being a locally Gorenstein ring. Moreover, we characterize strict Gorenstein rings by the CBP and the symmetry of their affine Hilbert function, as well as by the strict CBP and the last difference of their affine Hilbert function.  相似文献   
8.
The flow behavior in a three-phase separator with a bucket and weir was analyzed, and a theoretical equation for calculating the liquid-liquid interface level (HH) in gravity separation zone was derived. The analysis indicates that the HH increases as the flow rate and the density ratio of heavy to light liquid increase, and decreases linearly with increasing height difference between heavy and light liquid overflow weirs. The calculated HH under different operating conditions is in good agreement with the experimental. With the proposed equation, the thicknesses of heavy and light liquid layers can be calculated, and then the minimum lengths of two phase layers required for separation can be determined separately. From the minimum lengths it can be clearly indicated that the governing step of liquid-liquid separation is in heavy or light liquid layers, hence the sizing of the separator can be optimized.  相似文献   
9.
对高性能超级电容器不断增长的需求促进了电极隔膜和电极材料的快速发展。静电纺丝法制备的纳米纤维具有较高的孔隙率、较好电化学活性、较大的表面积以及良好的结构稳定性等优点,已被广泛应用于超级电容器的隔膜和电极材料。本文简要综述了近年来电纺纳米纤维在超级电容器用隔膜和电极材料的研究进展;着重讨论了通过静电纺丝和其他后处理方法制备的碳基纳米纤维、碳基复合纳米纤维、导电聚合物基复合纳米纤维和金属氧化物纳米纤维等用于超级电容器的电极材料。研究表明,多孔结构的构建、活化处理以及杂原子掺杂可以提高碳纳米纤维的比表面积、电化学活性、润湿性和石墨化程度,从而增强其电化学性能。此外,通过共混、化学沉积和电化学沉积等方法,将碳纳米纤维与金属氧化物、导电聚合物结合,可以改善其电容、倍率性能和循环稳定性。最后,提出上述研究中存在的问题,并对未来静电纺丝纳米纤维材料在超级电容器的发展前景进行了展望。  相似文献   
10.
朱宝库 《高分子科学》2013,31(2):309-317
To improve the performances of HDPE-based separators, polyether chains were incorporated into HDPE membranes by blending with poly(ethylene-block-ethylene glycol) (PE-b-PEG) via thermally induced phase separation (TIPS) process. By measuring the composition, morphology, crystallinity, ion conductivity, etc, the influence of PE-b-PEG on structures and properties of the blend separator were investigated. It was found that the incorporated PEG chains yielded higher surface energy for HDPE separator and improved affinity to liquid electrolyte. Thus, the stability of liquid electrolyte trapped in separator was increased while the interfacial resistance between separator and electrode was reduced effectively. The ionic conductivity of liquid electrolyte soaked separator could reach 1.28 × 10-3 S.cm-1 at 25℃, and the electrochemical stability window was up to 4.5 V (versus Li + /Li). These results revealed that blending PE-b-PEG into porous HDPE membranes could efficiently improve the performances of PE separators for lithium batteries.  相似文献   
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