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Accurate Thermochemistry with Multireference Methods: A Stress Test for Internally Contracted Multireference Coupled-Cluster Theory 多参量方法的精确热化学:内部收缩多参量耦合簇理论的压力测试
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-13 DOI: 10.1021/acs.jpca.4c0581910.1021/acs.jpca.4c05819
Alexander Waigum, Murat Ertürk and Andreas Köhn*, 

The internally contracted multireference coupled-cluster method with single, double and perturbative triple excitations, icMRCCSD(T), was tested for its performance in the context of computational high-accuracy thermochemistry. The results were gauged against the standard single-reference coupled-cluster hierarchy with up to 5-fold excitations. The test set comprised of a selection of first-row dinuclear compounds and the three 3d-transition metal compounds MnH, FeH, and CoH. The results revealed two problems with the current formulation of icMRCCSD(T). First, the choice of the Dyall Hamiltonian as the zeroth-order Hamiltonian, which leads to a biased description of the different orbital subspaces and particularly poor results for the atomic correlation energies, and second, the tendency to overestimate the perturbative correction for triply excited clusters, in particular in the presence of open shells and correspondingly low orbital-energy gaps. The two problems could be solved by resorting to the effective Fock operator as zeroth-order Hamiltonian and by adopting a modified amplitude equation that includes terms quadratic in the pair clusters. A similar modification was recently proposed by Masios et al. (Phys. Rev. Lett. 2023, 131, 186401) in the context of applying single-reference coupled-cluster theory to systems with small or vanishing band gaps and we chose the acronym ‘(cT*) correction’ in analogy to that work. In contrast to the work of Masios et al., additional terms including single excitation clusters were omitted, as these again lead to an overestimation of correlation effects in more difficult cases. We also tested another alternative for the zeroth-order Hamiltonian and additional higher-order corrections for the correlation energy. These extensions did not significantly improve the results and were also computationally more demanding. The improved icMRCCSD(cT*)F method yields very accurate results with errors, relative to accurate benchmarks, better than 2 kJ/mol for total energies and atomization energies for the entire set of examples considered in this work.

在计算高精度热化学的背景下,对具有单、双和扰动三重激发的内部收缩多参量耦合簇方法 icMRCCSD(T) 的性能进行了测试。测试结果与具有高达 5 倍激发的标准单参耦合簇层次结构进行了比较。测试集包括精选的第一排二核化合物和三种 3d 过渡金属化合物 MnH、FeH 和 CoH。结果表明,icMRCCSD(T)的现有公式存在两个问题。首先,选择戴尔哈密顿作为零阶哈密顿,导致对不同轨道子空间的描述存在偏差,尤其是对原子相关能的描述结果较差;其次,倾向于高估三激发簇的扰动修正,尤其是在存在开壳和相应的低轨道能隙的情况下。要解决这两个问题,可以采用有效的福克算子作为零阶哈密顿,并采用修正的振幅方程,其中包括对簇的二次项。Masios 等人最近(Phys. Rev. Lett.与 Masios 等人的工作不同,我们省略了包括单激发簇在内的附加项,因为这些附加项在更困难的情况下会导致相关效应被高估。我们还测试了零阶哈密顿的另一种替代方法和相关能的附加高阶修正。这些扩展并没有明显改善结果,而且对计算的要求更高。改进后的 icMRCCSD(cT*)F 方法得到了非常精确的结果,相对于精确基准,本研究中考虑的整套示例的总能量和雾化能量误差均小于 2 kJ/mol。
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引用次数: 0
Vibrational State-Resolved Differential Cross Sections of the F + CH4 → HF + CH3 Reaction at the Collision Energies of 3.1–13.8 kcal/mol 碰撞能量为 3.1-13.8 kcal/mol 时 F + CH4 → HF + CH3 反应的振动状态解析差分截面
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-13 DOI: 10.1021/acs.jpca.4c0657010.1021/acs.jpca.4c06570
Yiyang Shu, Zhi Gao*, Zhibing Lu, Shihao Li, Fuyan Wu, Yunfan Zhao, Chang Luo, Daofu Yuan, Xingan Wang* and Xueming Yang*, 

We report a high-resolution crossed molecular beam experiment investigating the reaction dynamics of the F + CH4 → HF + CH3 reaction across a broad range of collision energies (3.1–13.8 kcal/mol). By using time-sliced velocity map imaging within the crossed molecular beam apparatus, we obtain correlated angular distributions and branching ratios for various product pairs (CH3(ν), HF(ν′)). The resolved reactive rainbow-like features that display a distinct bulge in the angular distribution in different channels reveal the formation of vibrationally ground and excited states of the methyl radical accompanied by different rovibrationally excited HF products. These findings suggest distinct reaction dynamics for channels leading to vibrationally excited methyl radicals compared to those forming ground-state methyl radicals.

我们报告了一项高分辨率交叉分子束实验,该实验研究了 F + CH4 → HF + CH3 反应在广泛的碰撞能量范围(3.1-13.8 kcal/mol)内的反应动力学。通过在交叉分子束装置中使用时间切片速度图成像,我们获得了各种产物对(CH3(ν), HF(ν′))的相关角度分布和支化率。不同通道的角分布呈现出明显的凸起,这些被解析的反应彩虹状特征揭示了甲基自由基振动基态和激发态的形成,以及不同的旋转振动激发 HF 产物。这些发现表明,与形成基态甲基自由基的通道相比,导致振动激发甲基自由基的通道具有不同的反应动力学。
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引用次数: 0
Quantum Chemistry Study on Cl-Initiated Reactions of 2-Chloropropane and 2-Methylpropanoyl Halogen (Cl, Br, F): Mechanism, Kinetics, and Atmospheric Implications Cl 引发的 2-氯丙烷和 2-甲基丙酰基卤素(Cl、Br、F)反应的量子化学研究:机理、动力学和对大气的影响
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-13 DOI: 10.1021/acs.jpca.4c0613010.1021/acs.jpca.4c06130
Wan-Ying Yu, Tai-Xing Chi, Shuang Ni, Xiang-Huan Liu, Ting-Ting Meng, Xiao-Ming Song, Ke Zhang, Yi-Chen Wang, Feng-Yang Bai* and Zhen Zhao, 

Halogenated volatile organic compounds (HVOCs) pose significant bioaccumulative and toxicological risks, necessitating effective strategies for their removal. Here, we show, through a computational study employing density functional theory and coupled cluster methods, the detailed mechanism and kinetic properties of Cl-initiated degradation reactions of 2-chloropropane (2-CP, (CH3)2CHCl) and 2-methylpropanoyl halide ((CH3)2CHCOX, X = Cl, Br, F). The reaction rate constants of all the channels were calculated by the canonical variational transition state theory (CVT) with the correction of the small curvature tunneling effect (SCT) at 200–1000 K. The subsequent transformation pathways of the major radical products of (CH3)2CHCl and (CH3)2CHCOCl in the presence of O2, NO, and HO2 radical were investigated. The results elucidate the reaction pathways and rate constants, which are in excellent agreement with the experimental data at 296 K. We further explore the atmospheric implications of these reactions by assessing the atmospheric lifetime (τ) and ozone depletion potential (ODP). Additionally, we delve into the aquatic toxicity and bioaccumulation potential of the reactants and their transformation products. This study not only advances our knowledge of the atmospheric fate of halogenated hydrocarbons but also underscores the importance of considering the environmental and toxicological impacts in the development of HVOC mitigation strategies.

卤代挥发性有机化合物(HVOCs)具有重大的生物累积性和毒理学风险,因此必须采取有效的策略来清除它们。在此,我们通过采用密度泛函理论和耦合簇方法进行计算研究,展示了由氯引发的 2-氯丙烷(2-CP,(CH3)2CHCl)和 2-甲基丙酰基卤化物((CH3)2CHCOX,X = Cl、Br、F)降解反应的详细机理和动力学特性。研究了在 O2、NO 和 HO2 自由基存在下,(CH3)2CHCl 和 (CH3)2CHCOCl 的主要自由基产物的后续转化途径。通过评估大气寿命(τ)和臭氧消耗潜能(ODP),我们进一步探讨了这些反应对大气的影响。此外,我们还深入研究了反应物及其转化产物的水生毒性和生物累积潜力。这项研究不仅增进了我们对卤代烃大气归宿的了解,还强调了在制定 HVOC 减排战略时考虑环境和毒理学影响的重要性。
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引用次数: 0
Development of a Machine Learning Potential to Study the Structure and Thermodynamics of Nickel Nanoclusters. 开发机器学习潜力,研究镍纳米团簇的结构和热力学。
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-13 DOI: 10.1021/acs.jpca.4c04048
Suvo Banik, Partha Sarathi Dutta, Sukriti Manna, Subramanian Krs Sankaranarayanan

Machine learning (ML) potentials such as the Gaussian approximation potential (GAP) have demonstrated impressive capabilities in mapping structure to properties across diverse systems. Here, we introduce a GAP model for low-dimensional Ni nanoclusters and demonstrate its flexibility and effectiveness in capturing the energetics, structural diversity, and thermodynamic properties of Ni nanoclusters across a broad size range. Through a systematic approach encompassing model development, validation, and application, we evaluate the model's efficacy in representing energetics and configurational features in low-dimensional regimes while also examining its extrapolative nature to vastly different spatiotemporal regimes. Our analysis and discussion shed light on the data quality required to effectively train such models. Trajectories from large-scale MD simulations using the GAP model analyzed with data-driven models like graph neural networks reveal intriguing insights into the size-dependent phase behavior and thermomechanical stability characteristics of porous Ni nanoparticles. Overall, our work underscores the potential of ML models, which coupled with data-driven approaches serve as versatile tools for studying low-dimensional systems and complex material dynamics.

机器学习(ML)势(如高斯近似势(GAP))在映射不同系统的结构和性质方面表现出了令人印象深刻的能力。在此,我们介绍了低维镍纳米团簇的 GAP 模型,并展示了该模型在捕捉镍纳米团簇在广泛尺寸范围内的能量、结构多样性和热力学性质方面的灵活性和有效性。通过包括模型开发、验证和应用在内的系统方法,我们评估了该模型在表示低维环境中的能量和构型特征方面的功效,同时还检验了该模型对截然不同的时空环境的外推性质。我们的分析和讨论揭示了有效训练此类模型所需的数据质量。使用图神经网络等数据驱动模型分析 GAP 模型的大规模 MD 模拟轨迹,揭示了多孔镍纳米粒子随尺寸变化的相行为和热力学稳定性特征。总之,我们的工作凸显了 ML 模型的潜力,它与数据驱动方法相结合,可作为研究低维系统和复杂材料动力学的多功能工具。
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引用次数: 0
From Gas to Solution: The Changing Neutral Structure of Proline upon Solvation. 从气体到溶液:溶解时脯氨酸中性结构的变化
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-13 DOI: 10.1021/acs.jpca.4c05628
Bruno Credidio, Stephan Thürmer, Dominik Stemer, Michele Pugini, Florian Trinter, Jakub Vokrouhlický, Petr Slavíček, Bernd Winter

Liquid-jet photoelectron spectroscopy (LJ-PES) and electronic-structure theory were employed to investigate the chemical and structural properties of the amino acid l-proline in aqueous solution for its three ionized states (protonated, zwitterionic, and deprotonated). This is the first PES study of this amino acid in its biologically relevant environment. Proline's structure in the aqueous phase under neutral conditions is zwitterionic, distinctly different from the nonionic neutral form in the gas phase. By analyzing the carbon 1s and nitrogen 1s core levels as well as the valence spectra of aqueous-phase proline, we found that the electronic structure is dominated by the protonation state of each constituent molecular site (the carboxyl and amine groups) with small yet noticeable interference across the molecule. The site-specific nature of the core-level spectra enables the probing of individual molecular constituents. The valence photoelectron spectra are more difficult to interpret because of the overlapping signals of proline with the solvent and pH-adjusting agents (HCl and NaOH). Yet, we are able to reveal subtle effects of specific (hydrogen-bonding) interaction with the solvent on the electronic structure. We also demonstrate that the relevant conformational space is much smaller for aqueous-phase proline than for its gas-phase analogue. This study suggests that caution must be taken when comparing photoelectron spectra for gaseous- and aqueous-phase molecules, particularly if those molecules are readily protonated/deprotonated in solution.

采用喷液光电子能谱(LJ-PES)和电子结构理论研究了氨基酸 l-脯氨酸在水溶液中三种离子态(质子态、齐聚态和去质子态)的化学和结构特性。这是首次在生物相关环境中对这种氨基酸进行 PES 研究。脯氨酸在中性条件下的水相结构是齐聚物,与气相中的非离子中性形式截然不同。通过分析水相脯氨酸的碳 1s 和氮 1s 核心电平以及价谱,我们发现其电子结构由每个组成分子位点(羧基和胺基)的质子化状态主导,对整个分子的干扰很小,但却很明显。核心级光谱的位点特异性使我们能够探测单个分子成分。由于脯氨酸与溶剂和 pH 调整剂(HCl 和 NaOH)的信号重叠,价层光电子能谱的解释较为困难。然而,我们能够揭示与溶剂的特定(氢键)相互作用对电子结构的微妙影响。我们还证明,与气相类似物相比,水相脯氨酸的相关构象空间要小得多。这项研究表明,在比较气相和水相分子的光电子能谱时必须谨慎,尤其是当这些分子在溶液中容易质子化/去质子化时。
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引用次数: 0
Exploring How the Surface-Area-to-Volume Ratio Influences the Partitioning of Surfactants to the Air–Water Interface in Levitated Microdroplets 探索表面积-体积比如何影响悬浮微滴中表面活性剂在空气-水界面的分配
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-12 DOI: 10.1021/acs.jpca.4c0621010.1021/acs.jpca.4c06210
Michael I. Jacobs*, Madelyn N. Johnston and Shahriar Mahmud, 

Quantitative characterization of the surface of microdroplets is important to understanding and predicting numerous chemical and physical processes, such as cloud droplet formation and accelerated chemistry in microdroplets. However, it is increasingly appreciated that the surface compositions of microdroplets do not necessarily match those of macroscale solution due to their large surface-area-to-volume (SA–V) ratios and confined volumes. In this work, we explore how both droplet size and composition affect the surface composition of microdroplets by measuring the equilibrium surface tensions of levitated microdroplets containing a single surfactant. We measure the critical micelle concentrations (CMCs) for surfactants of various strengths (macroscale CMC values ranging from 0.02 to 10 mM) in microdroplets with radii ranging from 5 to 25 μm. We accurately model the surface tensions of microdroplets using an equilibrium partitioning model that only requires droplet size and adsorption parameters from macroscale measurements as inputs. Our model predicts that surfactants have an “effective CMC” in microdroplets that is always larger in value than the corresponding macroscale CMC. In some instances, the effective CMC of a surfactant in microdroplets is several orders of magnitude larger than both its macroscale CMC and its macroscale solubility limit. We present a simple expression for the effective CMC in microdroplets that depends on both the macroscale CMC of a surfactant and the SA–V ratio of the microdroplet. Ultimately, our experimental results and model can be used broadly to predict microdroplet surface compositions when investigating surface-driven accelerated chemistry in microdroplets or estimating cloud droplet activation.

微液滴表面的定量表征对于理解和预测众多化学和物理过程非常重要,如云液滴的形成和微液滴中的加速化学反应。然而,越来越多的人认识到,由于微液滴的表面-面积-体积(SA-V)比很大,而且体积有限,因此其表面成分不一定与宏观溶液的表面成分一致。在这项工作中,我们通过测量含有单一表面活性剂的悬浮微滴的平衡表面张力,探讨了微滴尺寸和组成如何影响微滴的表面组成。我们测量了半径为 5 到 25 μm 的微滴中不同强度表面活性剂的临界胶束浓度 (CMC)(宏观 CMC 值为 0.02 到 10 mM)。我们使用平衡分配模型对微滴的表面张力进行了精确建模,该模型只需要将微滴尺寸和宏观测量的吸附参数作为输入。根据我们的模型预测,表面活性剂在微滴中的 "有效 CMC "值总是大于相应的宏观 CMC 值。在某些情况下,表面活性剂在微滴中的有效 CMC 比其宏观 CMC 和宏观溶解极限都要大几个数量级。我们提出了微滴中有效 CMC 的简单表达式,它取决于表面活性剂的宏观 CMC 和微滴的 SA-V 比率。最终,我们的实验结果和模型可广泛用于预测微滴表面成分,以研究微滴中表面驱动的加速化学反应或估计云滴活化。
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引用次数: 0
Semiclassical Transition State Theory (SCTST) Rate Coefficients for the Unimolecular Decomposition of the Ethoxy (CH3CH2O) Radical 乙氧基 (CH3CH2O) 自由基单分子分解的半经典过渡态理论 (SCTST) 速率系数
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-12 DOI: 10.1021/acs.jpca.4c0577510.1021/acs.jpca.4c05775
Thanh Lam Nguyen, Gregory H. Jones, Bryan Changala, Binod Raj Giri, John R. Barker and John F. Stanton*, 

The thermal unimolecular decay of ethoxy is important in high-temperature combustion environments where the ethoxy radical is a key reactive intermediate. Two dissociation pathways of ethoxy, including the β-C–C scission to yield CH3 + CH2O and the H-elimination to make H + CH3CHO, were characterized using a high-level coupled-cluster-based composite quantum chemical method (mHEAT-345(QΛ)). The former route is found to be dominant while the latter is insignificant, in agreement with previous experimental and theoretical studies. Thermal rate coefficients are calculated for P = 0.001–658 atm (of air) and T = 300–2500 K using semiclassical transition state theory (SCTST) in combination with a pragmatic two-dimensional E,J-resolved master equation (2DME). The effects of tunneling and anharmonicity on the calculated rate constants are also examined. The tunneling factor is found to be inversely dependent on pressure, contrary to previous observations of pressure-dependent tunneling in entrance channels.

乙氧基的单分子热衰变在高温燃烧环境中非常重要,因为乙氧基自由基是一种关键的反应中间体。利用基于高水平耦合簇的复合量子化学方法(mHEAT-345(QΛ))表征了乙氧基的两种解离途径,包括β-C-C 裂解生成 CH3 + CH2O 和 H-消除生成 H + CH3CHO。结果发现前一种途径占主导地位,而后一种途径并不重要,这与之前的实验和理论研究结果一致。在 P = 0.001-658 atm(空气)和 T = 300-2500 K 的条件下,使用半经典过渡态理论(SCTST)结合实用的二维 E、J 分辨主方程(2DME)计算了热速率系数。此外,还考察了隧穿和非谐波对计算速率常数的影响。研究发现隧道因子与压力成反比,这与之前在入口通道中观察到的压力依赖性隧道效应相反。
{"title":"Semiclassical Transition State Theory (SCTST) Rate Coefficients for the Unimolecular Decomposition of the Ethoxy (CH3CH2O) Radical","authors":"Thanh Lam Nguyen,&nbsp;Gregory H. Jones,&nbsp;Bryan Changala,&nbsp;Binod Raj Giri,&nbsp;John R. Barker and John F. Stanton*,&nbsp;","doi":"10.1021/acs.jpca.4c0577510.1021/acs.jpca.4c05775","DOIUrl":"https://doi.org/10.1021/acs.jpca.4c05775https://doi.org/10.1021/acs.jpca.4c05775","url":null,"abstract":"<p >The thermal unimolecular decay of ethoxy is important in high-temperature combustion environments where the ethoxy radical is a key reactive intermediate. Two dissociation pathways of ethoxy, including the β-C–C scission to yield CH<sub>3</sub> + CH<sub>2</sub>O and the H-elimination to make H + CH<sub>3</sub>CHO, were characterized using a high-level coupled-cluster-based composite quantum chemical method (mHEAT-345(Q<sub>Λ</sub>)). The former route is found to be dominant while the latter is insignificant, in agreement with previous experimental and theoretical studies. Thermal rate coefficients are calculated for <i>P</i> = 0.001–658 atm (of air) and <i>T</i> = 300–2500 K using semiclassical transition state theory (SCTST) in combination with a pragmatic two-dimensional <i>E</i>,<i>J</i>-resolved master equation (2DME). The effects of tunneling and anharmonicity on the calculated rate constants are also examined. The tunneling factor is found to be inversely dependent on pressure, contrary to previous observations of pressure-dependent tunneling in entrance channels.</p>","PeriodicalId":59,"journal":{"name":"The Journal of Physical Chemistry A","volume":"128 46","pages":"9998–10008 9998–10008"},"PeriodicalIF":2.7,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modulating the Competition between Different Atoms to Form Halogen Bonds 调节不同原子之间形成卤素键的竞争关系
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-11 DOI: 10.1021/acs.jpca.4c0648310.1021/acs.jpca.4c06483
Steve Scheiner*, 

I and Br atoms are placed on opposite ends of a n-butyl group, with each allowed to form a halogen bond (XB) with NH3. DFT calculations show that the intrinsic preference of the nucleophile for the heavier I over Br can be reversed by the proper placement of substituents on the alkyl chain. A similar reversal occurs for NH2 and OH groups on the alkyl chain, where substituents make the O a better electron donor than N in an XB to an electrophilic ICCH. The highly mobile π-electron cloud of an aromatic ring makes such reversals much more difficult when the pair of competing atoms are placed on, or within, such a ring.

I 原子和 Br 原子分别位于一个正丁基的两端,每个原子都可以与 NH3 形成一个卤素键 (XB)。DFT 计算表明,通过在烷基链上适当放置取代基,可以逆转亲核体对较重的 I 原子而不是 Br 原子的固有偏好。烷基链上的 NH2 和 OH 基团也发生了类似的逆转,在亲电 ICCH 的 XB 中,取代基使 O 成为比 N 更好的电子供体。当一对竞争原子位于芳香环上或芳香环内时,芳香环的高流动性 π 电子云使得这种反转变得更加困难。
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引用次数: 0
Transition Path Dynamics of Non-Markovian Systems across a Rough Potential Barrier 非马尔可夫系统跨越粗糙势垒的过渡路径动力学
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-11 DOI: 10.1021/acs.jpca.4c0503610.1021/acs.jpca.4c05036
Pankaj Jangid,  and , Srabanti Chaudhury*, 

Transition paths refer to rare events in physics, chemistry, and biology where the molecules cross barriers separating stable molecular conformations. The conventional analysis of the transition path times employs a diffusive and memoryless transition over a smooth potential barrier. However, it is widely acknowledged that the free energy profile between two minima in biomolecular processes is inherently not smooth. In this article, we discuss a theoretical model with a parabolic rough potential barrier and obtain analytical results of the transition path distribution and mean transition path times by incorporating absorbing boundary conditions across the boundaries under the driving of Gaussian white noise. Further, the influence of anomalous dynamics in rough potential driven by a power-law memory kernel is analyzed by deriving a time-dependent scaled diffusion coefficient that coarse-grains the effects of roughness, and the system’s dynamics is reduced to a scaled diffusion on a smooth potential. Our theoretical results are tested and validated against numerical simulations. The findings of our study show the influence of the boundary conditions, barrier height, barrier roughness, and memory effect on the transition path time distributions in a rough potential, and the validity of the scaling diffusion coefficient has been discussed.

过渡路径指的是物理、化学和生物学中的罕见事件,即分子跨越分隔稳定分子构象的障碍。传统的过渡路径时间分析采用的是光滑势垒上的无记忆扩散过渡。然而,人们普遍认为,生物分子过程中两个最小值之间的自由能曲线本身并不平滑。在本文中,我们讨论了抛物线粗糙势垒的理论模型,并在高斯白噪声的驱动下,通过跨边界吸收边界条件,得到了过渡路径分布和平均过渡路径时间的分析结果。此外,我们还分析了由幂律记忆核驱动的粗糙势中异常动力学的影响,推导出了粗粒化粗糙度影响的随时间变化的标度扩散系数,并将系统动力学简化为光滑势上的标度扩散。我们的理论结果通过数值模拟进行了测试和验证。我们的研究结果表明了边界条件、势垒高度、势垒粗糙度和记忆效应对粗糙势中过渡路径时间分布的影响,并讨论了缩放扩散系数的有效性。
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引用次数: 0
Coupled Perturbed Approach to Dual Basis Sets for Molecules and Solids. II: Energy and Band Corrections for Periodic Systems 分子和固体的双基集耦合扰动法。二:周期系统的能量和带校正
IF 2.7 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-11 DOI: 10.1021/acs.jpca.4c0432110.1021/acs.jpca.4c04321
Lorenzo Maschio*,  and , Bernard Kirtman, 

When trying to reach convergence of quantum chemical calculations toward the complete basis set limit, crystalline solids generally prove to be more challenging than molecules. This is due both to the closer packing of atoms─hence, to linear dependencies─and to the problematic behavior of Ewald techniques used for dealing with the infinite character of Coulomb sums. Thus, a dual basis set approach is even more desirable for periodic systems than for molecules. In such an approach, the self-consistent procedure is implemented in a small basis set, and the effect of the enlargement of the basis set is estimated a posteriori. In this paper, we extend to crystalline solids our previous coupled perturbed dual basis set approach [J. Chem. Theory Comput. 2020, 16, 1, 340–353] in which the basis set enlargement is treated as a perturbation. Among the notable features of this approach are (i) the possibility of obtaining not only a correction to the energy but also to energy bands and electron density; (ii) the absence of a diagonalization step for the full Fock matrix in the large basis set; and (iii) the possibility of extrapolating low order perturbation energy corrections to infinite order. We also present here the first periodic implementation of the dual basis set method of Liang and Head-Gordon [J. Phys. Chem. A 2004, 108, 3206–3210]. The effectiveness of both approaches is, then, compared on a small, but representative, set of solids.

在试图使量子化学计算向完全基集极限收敛时,晶体固体通常比分子更具挑战性。这既是由于原子的堆积更为紧密--因此存在线性依赖关系--也是由于用于处理库仑和的无限性的埃瓦尔德技术的行为存在问题。因此,与分子相比,周期系统更需要双基集方法。在这种方法中,自洽程序是在一个较小的基集中实现的,而扩大基集的影响是事后估计的。在本文中,我们将之前的耦合扰动双基集方法扩展到晶体固体[J. Chem. Theory Comput.这种方法的显著特点包括:(i) 不仅可以获得能量修正,还可以获得能带和电子密度修正;(ii) 无需对大基集中的全福克矩阵进行对角化处理;(iii) 可以将低阶扰动能量修正外推至无穷阶。我们还在此介绍了梁和海德-戈登(Liang and Head-Gordon)[J. Phys. Chem. A 2004, 108, 3206-3210]的双基集方法的首次周期性实现。然后,我们在一小部分具有代表性的固体集合上比较了这两种方法的有效性。
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引用次数: 0
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