Ultrathin zirconium disulfide nanodiscs

We present a colloidal route for the synthesis of ultrathin ZrS(2) (UT-ZrS(2)) nanodiscs that are ~1.6 nm thick and consist of approximately two unit cells of S-Zr-S. The lateral size of the discs can be tuned to 20, 35, or 60 nm while their thickness is kept constant. Under the appropriate conditions, these individual discs can self-assemble into face-to-face-stacked structures containing multiple discs. Because the S-Zr-S layers within individual discs are held together by weak van der Waals interactions, each UT-ZrS(2) disc provides spaces that can serve as host sites for intercalation. When we tested UT-ZrS(2) discs as anodic materials for Li(+) intercalation, they showed excellent nanoscale size effects, enhancing the discharge capacity by 230% and greatly improving the stability in comparison with bulk ZrS(2). The nanoscale size effect was especially prominent for their performance in fast charging/discharging cycles, where an 88% average recovery of reversible capacity was observed for UT-ZrS(2) discs with a lateral diameter of 20 nm. The nanoscale thickness and lateral size of UT-ZrS(2) discs are critical for fast and reliable intercalation cycling because those dimensions both increase the surface area and provide open edges that enhance the diffusion kinetics for guest molecules.     

变系数耗散波动方程的能量衰减估计

研究了在（0,∞）×Rⁿ上,变系数耗散波动方程的能量在外区域上的衰减估计,得到：若初值{u₀,u₁}属于能量空间且具有紧支集,则在Rⁿ上存在一个外区域X_m,使得对任意t ≥ 0和m>0,有进一步,若u₀+u₁=0,还可以得到∫_Xm|u|²dx ≤ C（1+t）^-m,t ≥ 0.     

基于双层规划的高速公路收费费率优化模型

在全国联网收费的背景下,从动态收费的角度考虑,建立了双层规划模型,上层规划中将路网管理者作为领导者,以高速公路收费效益最大化为目标函数,同时考虑道路运营管理方的合理收益和养护成本支出情况,下层规划则以用户出行效用最大化为目标,充分考虑了道路使用者的道路选择差异性及道路拥堵对交通分布的影响,建立随机用户均衡模型.最后结合...     

ChemInform Abstract: Mixed‐Valent Neptunium(IV/V) Compound with Cation—Cation‐Bound Six‐Membered Neptunyl Rings.

Na_xNp^IV(Np^VO₂)₆ (OH)_1+xCl₉(H₂O)_8‐x (0 < x ≤ 1) is synthesized by evaporation of a neptunium(V) acidic (HCl) stock solution over several months to complete dryness.