广义Burger方程的解析解

本文讨论广义Burger方程的解析解,我们证明了:当粘性系数γ(t)=常数或对γ(t)=(3kt k_1)~(-1/3)时,方程满足“有条件的Painlev(?)可积”.并求出了相应的解析解.     

High‐Entropy Layered Oxide Cathodes for Sodium‐Ion Batteries

Material innovation on high‐performance Na‐ion cathodes and the corresponding understanding of structural chemistry still remain a challenge. Herein, we report a new concept of high‐entropy strategy to design layered oxide cathodes for Na‐ion batteries. An example of layered O3‐type NaNi_0.12Cu_0.12Mg_0.12Fe_0.15Co_0.15Mn_0.1Ti_0.1Sn_0.1Sb_0.04O₂ has been demonstrated, which exhibits the longer cycling stability (ca. 83 % of capacity retention after 500 cycles) and the outstanding rate capability (ca. 80 % of capacity retention at the rate of 5.0 C). A highly reversible phase‐transition behavior between O3 and P3 structures occurs during the charge‐discharge process, and importantly, this behavior is delayed with more than 60 % of the total capacity being stored in O3‐type region. Possible mechanism can be attributed to the multiple transition‐metal components in this high‐entropy material which can accommodate the changes of local interactions during Na⁺ (de)intercalation. This strategy opens new insights into the development of advanced cathode materials.     

On heat transfer and flow characteristics of jets impinging onto a concave surface with varying jet arrangements

A new electrospinning process was developed for preparing TiO₂ nanofibers using a water-soluble Ti-precursor, [bis(kappa1O-hydroxo)(bis(kappa2O,O′-lactato)titanium(IV)] commonly known as titanium(IV) bis (ammonium lactato) dihydroxide (TiBALDH). The importance of the study is justified by the fact that Ti-precursors used for electrospinning, sol–gel, hydrothermal and other fiber synthesis processes are mostly non-water soluble. Accordingly, anatase TiO₂ nanofibers of diameter between 20 and 140 nm were synthesized by electrospinning and annealing. Polyvinylpyrrolidone (PVP) and different concentrations of TiBALDH were dissolved in a mixture of water, ethyl alcohol and acetic acid to optimize the electrospinning conditions. The thermal decomposition and fragmentation of PVP, TiBALDH and the fibers with 50% mass fraction of TiBALDH were studied by TGA-MS measurements. The fibers were then annealed at 1 °C min^?1 until 600 °C. The TiO₂ fibers were characterized using SEM–EDX, FTIR and XRD

     

A Sodalite‐Type Silver Orthophosphate Cluster in a Globular Silver Nanocluster

The synthesis and structure of a giant 102‐silver‐atom nanocluster (NC) 1 is presented. X‐ray structural analysis reveals that 1 features a multi‐shelled metallic core of Ag₆@Ag₂₄@Ag₆₀@Ag₁₂. An octahedral Ag₆ core is encaged by a truncated octahedral Ag₂₄ shell. The Ag₂₄ shell is composed of a hitherto unknown sodalite‐type silver orthophosphate cluster (SOC) {(Ag₃PO₄)₈}, reminiscent of the Ag₃PO₄ photocatalyst. The SOC is capped by six interstitial sulfur atoms, giving a unique anionic cluster [Ag₆@{(Ag₃PO₄)₈}S₆]^6?, which functions as an intricate polyhedral template with abundant surface O and S atoms guiding the formation of a rare rhombicosidodecahedral Ag₆₀ shell. An array of 6 linear Ag₂ staples further surround this Ag₆₀ shell. [Ag₆@{(Ag₃PO₄)₈}S₆]^6? is an unusual Ag‐based templating anion to induce the assembly of a SOC within silver NC. This finding provides molecular models for bulk Ag₃PO₄, and offers a fresh template strategy for the synthesis of silver NCs with high symmetry.     

对苯二甲酰氯与N-甲基吡咯烷酮反应机理以及对聚对苯二甲酰对苯二胺聚合的影响

稳定合成高分子量聚对苯二甲酰对苯二胺(PPTA)树脂是生产高性能芳纶纤维的基础.在PPTA聚合过程中,以单体对苯二甲酰氯(TPC)/N-甲基吡咯烷酮(NMP)溶液与单体对苯二胺(PPD)/NMP溶液进行溶液缩聚反应是最理想高效的方式,但是因为TPC/NMP间未知的相互作用导致这种聚合方式难以实现.通过实验与计算模拟相结合的方式,利用红外光谱(FTIR)、核磁共振(1H NMR)、飞行时间质谱及示差扫描量热分析对TPC/NMP间的反应进行了分析,并通过分子模拟计算证明TPC与NMP会发生类似Vilsmeier-Haack反应,导致TPC上的酰氯基团失活,从而严重影响其聚合反应活性.最后,通过PPTA聚合实验验证了该结论的正确性.     

热晕小尺度不稳定性实验研究

本文报导了STRS不稳定性的模拟实验结果,研究了正弦强度分布的小尺度扰动源在热晕介质中传播的不稳定性发展情况,对不同扰动空间周期、不同光功率下小尺度不稳定性的增长做了一些实验研究,证实了激光在介质传播中,热晕将导致小尺度不稳定性的指数增长。     

一维有序聚苯胺纳米阵列的制备及电化学储能性能

以导电玻璃FTO为基底电极, 在硫酸溶液中, 分别研究了苯胺单体浓度和恒定电流大小对聚苯胺(PANI)形貌的影响; 同时恒定苯胺单体的浓度和工作电流, 探究了不同类型的质子酸对PANI阵列形貌的影响. 结果表明, 采用恒电流方法可以制备出一维有序PANI纳米线阵列, 而且当苯胺的浓度为0.1 mol/L, 恒电流法的工作电流密度为0.03 mA/cm²时, 所制备的PANI纳米线阵列形貌最佳; 当用HCl, HNO₃和对甲苯磺酸(p-TSA)作为合成PANI的支持液时, 得到树桩状的PANI 纳米结构, 不能得到均一的纳米线阵列结构. 电化学性能测试结果表明, 制备的最佳形貌PANI纳米线阵列的比电容值可达560 F/g; 循环1000周后电容损失率为11%.     

Improved Harmonic Incompatibility Removal for Susceptibility Mapping via Reduction of Basis Mismatch

In quantitative susceptibility mapping (QSM), the background field removal is an essential data acquisition step because it has a significant effect on the restoration quality by generating a harmonic incompatibility in the measured local field data. Even though the sparsity based first generation harmonic incompatibility removal (1GHIRE) model has achieved the performance gain over the traditional approaches, the 1GHIRE model has to be further improved as there is a basis mismatch underlying in numerically solving Poisson’s equation for the background removal. In this paper, we propose the second generation harmonic incompatibility removal (2GHIRE) model to reduce a basis mismatch, inspired by the balanced approach in the tight frame based image restoration. Experimental results shows the superiority of the proposed 2GHIRE model both in the restoration qualities and the computational efficiency.