Low-Storage Runge-Kutta Method for Simulating Time-Dependent Quantum Dynamics

A wide range of quantum systems are time-invariant and the corresponding dynamics is dictated by linear differential equations with constant coefficients.Although simple in mathematical concept,the integration of these equations is usually complicated in practice for complex systems,where both the computational time and the memory storage become limiting factors.For this reason,low-storage Runge-Kutta methods become increasingly popular for the time integration.This work suggests a series of s-stage sth-order explicit RungeKutta methods specific for autonomous linear equations,which only requires two times of the memory storage for the state vector.We also introduce a 13-stage eighth-order scheme for autonomous linear equations,which has optimized stability region and is reduced to a fifth-order method for general equations.These methods exhibit significant performance improvements over the previous general-purpose low-stage schemes.As an example,we apply the integrator to simulate the non-Markovian exciton dynamics in a 15-site linear chain consisting of perylene-bisimide derivatives.     

基于氮杂Mn咔咯二维纳米材料的单原子Mn中心催化氧化烷烃制醇

咔咯是由四个吡咯共轭相连而形成的具有芳香性的新型卟啉类大环化合物,但咔咯分子中存在一个直接连结两个吡咯环的C?C键,与卟啉相比,仅仅是少了一个“meso”位置的C原子.因此,在结构上,咔咯含有三个“吡咯型”氮原子和一个“吡啶型”氮原子,当咔咯失去三个内氢原子后变成了三价阴离子,易与金属形成高价态的稳定配合物.氮杂咔咯是一种咔咯的meso位上的C被取代为N的咔咯衍生物.与正常的咔咯相比,它更易于与过渡金属形成稳定配合物.正是由于这些独特的结构特点,使其在金属催化、染料敏化太阳能电池、光敏剂、金属传感器、甚至在医学上都有很好的应用前景.金属有机大环均相催化剂的非均相化,是改进反应产物分离和实现催化剂循环使用的最简单有效方法之一.环境友好的Mn氮杂咔咯催化剂,在温和条件下可以利用氧气直接将有机底物氧化.本文选用Mn氮杂咔咯催化剂作为基本构建单元,通过理论计算,构建了一种新型的具有高催化活性的含Mn氮杂咔咯环结构单元的二维纳米催化材料.我们分别使用高斯软件(Gaussian 09)和维也纳从头算模拟软件包(VASP)对孤立分子和周期性体系进行结构优化以及性质的计算.在这种二维材料中,每一个Mn原子作为相对独立的金属单原子中心(SAC),保留了单环中Mn金属中心的高催化活性.在温和的光照条件下,Mn金属中心可以直接活化氧气生成类自由基[Mn]-O-O中心,随后[Mn]-O-O中心可以有效地通过夺取有机底物中的H和紧接着新生自由基的偶合反应,选择性氧化C?H键为C?OH键.另外,通过沿[Mn]-O-O反应轴施加不同强度的外电场,可对此二维纳米材料的催化反应活性进行精细调控.本文为实验上制备基于Mn氮杂咔咯的非均相催化剂以及单原子Mn基催化剂提供了理论依据.     

Dual Metal Active Sites in an Ir1/FeOx Single-Atom Catalyst: A Redox Mechanism for the Water-Gas Shift Reaction

Herein, we report a theoretical and experimental study of the water-gas shift (WGS) reaction on Ir₁/FeO_x single-atom catalysts. Water dissociates to OH* on the Ir₁ single atom and H* on the first-neighbour O atom bonded with a Fe site. The adsorbed CO on Ir₁ reacts with another adjacent O atom to produce CO₂, yielding an oxygen vacancy (O_vac). Then, the formation of H₂ becomes feasible due to migration of H from adsorbed OH* toward Ir₁ and its subsequent reaction with another H*. The interaction of Ir₁ and the second-neighbouring Fe species demonstrates a new WGS pathway featured by electron transfer at the active site from Fe³⁺−O⋅⋅⋅Ir²⁺−O_vac to Fe²⁺−O_vac⋅⋅⋅Ir³⁺−O with the involvement of O_vac. The redox mechanism for WGS reaction through a dual metal active site (DMAS) is different from the conventional associative mechanism with the formation of formate or carboxyl intermediates. The proposed new reaction mechanism is corroborated by the experimental results with Ir₁/FeO_x for sequential production of CO₂ and H₂.     

基于碳纳米管分子封装的一维电子波函数扫描

利用第一性原理,设计并研究了一类基于单臂碳纳米管的分子封装的分子体系．计算表明,半环葫芦脲类化合物可有效封装碳纳米管,引入微弱的分子间相互作用,对碳纳米管的电子态能级结构分布 仅带来微弱影响．半环葫芦脲分子与碳纳米管在管径方向的一维电子态波函数充分耦合,进而有效改变了一些前沿分子轨道的波函数在管径两头的分布以及相应的电子布居浓度．基于电子输运的模拟,发现半环葫芦脲分子在碳纳米管一维方向滑动时的某个电压下的电导变化可准确反映电子态波函数在相应分子导电通道上的一维分布信息．     

Construction of the A/B/C core of mexicanolides via a tandem double-aldol reaction

An efficient and concise approach for rapid assembly of the ABC tricyclic carbon skeleton of mexicanolide-type limonoids is described. The acetal/ketal diketoester precursors were prepared from simple starting materials by LiOH-mediated Michael reactions. The ABC tricyclic skeleton bearing multiple stereogenic centers was efficiently constructed by a powerful one-pot cascade reaction, which includes acetal/ketal hydrolysis, double intramolecular aldol condensation, and alkene migration.     

Stochastic Thermodynamics of Mesoscopic Electrochemical Reactions

In this work, we discussed the stochastic thermodynamics of mesoscopic electron transfer reactions between ions and electrodes. With a relationship between the reaction rate constant and the electrode potential, we find that the heat dissipation βq equals to the dynamic irreversibility of the reaction system minus an internal entropy change term. The total entropy change Δs_t is defined as the summation of the system entropy change Δs and the heat dissipation βq such that Δs_t=Δs+βq. Even though the heat dissipation depends linearly on the electrode potential, the total entropy change is found to satisfy the fluctuation theorem < (e)^-Δs_t>=1, and hence a second law-like inequality reads <Δs_t>≥0. Our study provides a practical methodology for the stochastic thermodynamics of electrochemical reactions, which may find applications in biochemical and electrochemical reaction systems.     

聚乙烯单链量子热输运的同位素效应

高分子导热材料的有效调控受到了日益广泛的关注.应用密度泛函理论(DFT)、中央插入延展(central insertion scheme,CIS)方法及非平衡格林函数(NEGF)理论,对包含432个原子、长18.533 nm的聚乙烯单链量子热输运的同位素效应进行了研究.计算结果表明,室温下长100 nm的纯12C聚乙烯单链的热导率理论上限高达314.1 W·m~(-1)·K~(-1);对于~(12)C聚乙烯单链,其他条件一定时,~(14)C掺杂引起的热导同位素效应比~(13)C更为显著;室温下纯~(12)C聚乙烯单链中~(14)C掺杂原子百分数为50%时同位素效应最显著,此时平均热导比未掺杂时下降了51%.这对探索聚乙烯材料热输运的同位素影响机理具有十分积极的意义.     

钯纳米晶体在电催化甲酸氧化反应中的形貌效应

本文基于课题组前期工作,选用适当的金属前驱物、还原剂、稳定剂和保护剂,通过调控氧化刻蚀和反应动力学等,成功合成了形貌和尺寸均不相同的Pd纳米晶.经过认真的纳米粒子清洗和电极修饰组装,考察了它们在电催化甲酸氧化反应中的形貌与性能的关系.研究结果表明,Pd纳米晶样品的最大电流密度以纳米八面体（nanooctahedra）、纳米线（nanowires）、纳米立方体（nanocubes）、纳米瓜子（nanotapers）、凹面纳米立方体（concave nanocubes）的顺序递增,催化甲酸氧化反应的起始氧化电位均小于0.2V.研究结果印证了Pd纳米晶催化甲酸氧化反应的催化性能在尺寸效应上主要受活性表面积的影响,扣除表面积效应后的催化性能与其尺寸没有明确关系.该系列Pd纳米晶的催化性能主要取决于其表面结构,得出Pd纳米晶催化甲酸氧化反应遵循{111}晶面〈{100}晶面〈高指数晶面的性能活性顺序.综合最大电流密度和最小操作电位因素发现,Pd凹面纳米立方体和Pd纳米瓜子具有相对较好的商用价值.     

介观电化学反应的随机热力学

In this work, we discussed the stochastic thermodynamics of mesoscopic electron transfer reactions between ions and electrodes. With a relationship between the reaction rate constant and the electrode potential, we find that the heat dissipation βq equals to the dynamic irreversibility of the reaction system minus an internal entropy change term. The total entropy change Δs_t is defined as the summation of the system entropy change Δs and the heat dissipation βq such that Δs_t=Δs+βq. Even though the heat dissipation depends linearly on the electrode potential, the total entropy change is found to satisfy the fluctuation theorem <(e)^-Δs_t>=1, and hence a second law-like inequality reads <Δs_t>≥0. Our study provides a practical methodology for the stochastic thermodynamics of electrochemical reactions, which may find applications in biochemical and electrochemical reaction systems.