On the derivation of the entropy of ideal quantum gases confined in a three-dimensional harmonic potential

In this work,the entropy functions of ideal quantum gases in a three-dimensional harmonic trap are analytically calculated using temperature as an explicit variable.Afterward,the applicability of the analytical formulas is validated by comparison with the numerical calculation.The results illustrate that the obtained functions could be applied for the whole temperature regime with a maximum relative deviation of less than 7.5%in the vicinity of the critical temperature Tcin the case of Bose gases.Meanwhile,for Fermi gases,although the analytical formula fits well at very low-and high-temperature regimes,it cannot be applied at temperature in the range[0.3-0.5]T_F,where T_F is the Fermi temperature.In addition,the consistency between our formulas and classical ones at significantly high temperatures is also discussed.     

分布反馈太赫兹量子级联激光器实现高功率单模输出

太赫兹量子级联激光器(THz QCL)是一种基于超晶格或耦合多量子阱中电子共振隧穿和子带间跃迁的单极光源,其辐射频率可通过能带和波函数设计进行调控,具有响应速度高、体积小、便于集成等优点。近年来,国际上多个科研团队展开了对THz QCL的密集研究,器件性能取得了显著的进展。针对THz QCL的实际应用,目前急切需要解决两个方面的问题:第一方面,受限于严重的大气衰减、光束合成等困难,急需解决THz QCL功率输出提升的问题。第二方面,研制窄线宽、高功率单模输出的太赫兹本振源。     

Pb的过量值对溶胶-水热法合成钙钛矿型PZT反铁电陶瓷粉体的影响

采用溶胶-水热法合成了具有单一钙钛矿结构的PZT反铁电陶瓷粉体.根据课题组前期的实验结果,选取的水热反应温度为180℃,水热反应时间为24 h,矿化剂KOH的浓度为3 mol/L,探讨了Pb的过量值对合成PZT陶瓷粉体的影响.实验发现,Pb的过量值过低,不足以补偿反应过程中Pb的损失量,A位的Pb缺失易导致PZT粉体结晶度的下降,颗粒结晶不完整.随着Pb过量值的增加,颗粒结晶增强,结晶也越完整.当Pb过量增加到10;时,实验获得了结晶良好的PZT粉体.因此,本实验Pb的最佳过量值为10;.     

核壳结构CdS@C纳米复合材料的光催化性能研究

采用水热碳化法成功制备了不同碳含量的CdS@C纳米颗粒,同时对CdS@C的晶体结构、形貌、光学性能、光电化学和光催化性能进行了研究。实验结果表明本方法制备的碳包覆CdS纳米颗粒外壳为碳层,内核为六方纤锌矿结构CdS颗粒。CdS@C颗粒分散性良好,颗粒形貌主要为类球形,粒度均匀。X射线光电子能谱(XPS)证实CdS@C颗粒表面负载的碳主要以非晶碳形式存在。紫外-可见光光谱(UV-Vis)表明CdS@C纳米晶中表面碳的敏化作用提高了可见光响应范围,使得能隙变窄。光致发光光谱(PL)表明碳包覆CdS@C纳米颗粒的发光强度比纯CdS弱,有效抑制了光生载流子的复合。瞬态光电流响应和电化学阻抗谱(EIS)说明CdS@C纳米复合材料更有效促进电子-空穴对分离和提高转移效率。CdS@C纳米复合材料在可见光辐射下表现出良好的光催化活性和稳定性,其中·O₂^-和h⁺在光催化中起主要作用。     

白光LED用近紫外光激发的蓝绿色荧光粉Sr5(PO4)3F∶Eu2+的光谱性能及助熔剂的影响

本文采用还原氛下的高温固相法合成了荧光粉Sr5(PO4)3F∶ Eu2+并对其性能进行了表征,同时研究了助熔剂硼酸对该荧光粉的影响.结果 表明:在1200℃还原氛下制得的荧光粉Sr5(PO4)3F∶ Eu2+,激发峰位于418 nm,发射峰位于524 nm,是能与近紫外光LED相匹配的蓝绿色荧光粉.Eu2的最佳掺杂浓度为15mo1;,对应的色坐标为(0.2871,0.4036).添加助熔剂H3BO3可以使荧光粉Sr5(PO4)3F∶Eu2+的合成温度由1200℃降低到1100℃,最佳掺杂浓度为5wt;,同时可以增加荧光粉的发光强度.     

不同晶体结构Gd2(MoO4)3:Eu3+荧光粉的合成及其发光性能研究

采用溶胶凝胶-燃烧法,柠檬酸为络合剂合成出系列Gd₂(MoO₄)₃:Eu³⁺荧光粉.利用X射线衍射(XRD)、扫描电子显微镜(SEM)和荧光光谱对样品的结构、形貌和发光性能进行了研究.XRD分析表明:稀土离子与柠檬酸为1:0.5时,800℃热处理获得单斜结构的Gd₂(MoO₄)₃:Eu³⁺荧光粉.单斜结构的Gd₂(MoO₄)₃:Eu³⁺荧光粉到正交结构的Gd₂(MoO₄)₃:Eu³⁺荧光粉的转换可以通过改变稀土离子与柠檬酸摩尔比和热处理温度等合成条件实现.Gd₂(MoO₄)₃:Eu³⁺荧光粉的形貌受合成条件的影响.荧光光谱研究表明:Gd₂(MoO₄)₃:Eu³⁺荧光粉的主发射峰位于616 nm处来自于Eu³⁺的⁵D₀→⁷F₂电偶极跃迁.正交结构的Gd₂(MoO₄)₃:Eu³⁺荧光粉发射强度明显高于单斜结构的荧光粉.计算⁵D₀→⁷F₂与⁵D₀→⁷F₁跃迁发射的相对强度比值表明:正交结构的Gd₂(MoO₄)₃:Eu³⁺中Eu³⁺局域环境的对称性较高。     

醇-水体系中pH值和焙烧温度对合成MgO纳米片晶体性质的影响

采用液相法,在醇-水体系中,以Mg(NO3)2·6H2O为镁源、PEG-2000为表面活性剂、NH3·H2O为沉淀剂,研究了pH值和焙烧温度对制备MgO纳米片晶体性质的影响.采用XRD、SEM和BET等手段对MgO纳米片晶相组成、微观形貌、孔结构进行分析表征.研究结果表明,pH值和焙烧温度对MgO纳米片晶相组成没有影响,但对样品微观形貌和比表面积影响较大.较低的pH值和焙烧温度或者较高的pH值和焙烧温度均会导致样品形状不规则,出现不同程度团聚,比表面积较小.在pH=10、焙烧温度500℃条件下制得MgO纳米片形状规整、分散性较好,比表面积、孔容和平均孔径分别为145.42 m2·g-1、0.67 mL·g-1和18.56 nm.     

Three-dimensional mixed convection flow with variable thermal conductivity and frictional heating

In this article,three-dimensional mixed convection flow over an exponentially stretching sheet is investigated.Energy equation is modelled in the presence of viscous dissipation and variable thermal conductivity.Temperature of the sheet is varying exponentially and is chosen in a form that facilitates the similarity transformations to obtain self-similar equations.Resulting nonlinear ordinary differential equations are solved numerically employing the Runge-Kutta shooting method.In order to check the accuracy of the method,these equations are also solved using bvp4c built-in routine in Matlab.Both solutions are in excellent agreement.The effects of physical parameters on the dimensionless velocity field and temperature are demonstrated through various graphs.The novelty of this analysis is the self-similar solution of the threedimensional boundary layer flow in the presence of mixed convection,viscous dissipation and variable thermal conductivity.     

等离子体激励器的静特性与高速特性仿真研究

A parametric study of high-frequency plasma jet actuator was carried out, using the experiment- tally measured energy distribution law of arc discharge as an ideal heat source. The influence of the exit angle of the actuator on the flow field was explored. The jet flow field characteristics of the spark discharge actuator under supersonic flow (Ma0=2.0) were investigated. The results show that the energy density of heat flux increases and the jet front and forward shock wave moves faster with the decrease of discharge region, and the smaller the exit angle of the jet is, the stronger the momentum injection ability of the actuator along the flow direction is. The rule still applies under high-speed air flow conditions. Compared to the static condition, the momentum injection capability of the jet is stronger and the influence domain is larger under supersonic flow conditions.