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High-Precision Solvation Free Energy Calculation via Multi-Input Linear Correction in 3D-RISM Theory. 三维rism理论中多输入线性校正的高精度溶剂化自由能计算。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 DOI: 10.1021/acs.jctc.5c02013
Yutaka Maruyama,Norio Yoshida
This study introduces the multi-input linear correction (MILC) method to enhance the accuracy of solvation free energy (SFE) calculations with the three-dimensional reference interaction site model (3D-RISM) theory. While the 3D-RISM theory offers significant computational efficiency compared with molecular simulation-based methods, conventional energy functionals─such as the Singer-Chandler or Gaussian fluctuation formulas─often suffer from systematic overestimation of SFEs. In general, partial molar volume (PMV) corrections are employed to account for errors related to hydrophobic and cavity formation energies. To further improve the prediction accuracy, the MILC method employs a physically motivated data-driven approach that incorporates not only the standard SFE components but also physical quantities obtained when the solute atomic charges are set to zero. Accordingly, the method requires two independent 3D-RISM calculations per solute. The robustness and transferability of the MILC method were rigorously validated using a nested cross-validation protocol on 628 molecules in the FreeSolv database (excluding carboxylic acids). By averaging over 10 conformers per molecule, the method achieved a mean absolute deviation (MAD) of 0.38 kcal/mol relative to the benchmark Bennett acceptance ratio (BAR) method. Furthermore, we demonstrate that the MILC method outperforms conventional volume-based corrections and provides predictive performance superior or comparable to complex machine learning models while maintaining high physical interpretability. This level of accuracy and statistical reliability demonstrates that the 3D-RISM theory with the MILC method is a robust and efficient tool for high-throughput applications in drug discovery and material design.
采用三维参考相互作用位点模型(3D-RISM)理论,引入多输入线性校正(MILC)方法,提高溶剂化自由能(SFE)的计算精度。虽然与基于分子模拟的方法相比,3D-RISM理论提供了显著的计算效率,但传统的能量泛函数──如辛格-钱德勒或高斯波动公式──往往会系统性地高估sfe。一般来说,部分摩尔体积(PMV)修正被用来解释与疏水和空腔形成能量相关的误差。为了进一步提高预测精度,MILC方法采用了一种物理驱动的数据驱动方法,该方法不仅包含了标准SFE组分,还包含了当溶质原子电荷设置为零时获得的物理量。因此,该方法需要对每个溶质进行两次独立的3D-RISM计算。使用嵌套交叉验证协议对FreeSolv数据库中的628个分子(不包括羧酸)严格验证了MILC方法的稳健性和可移植性。通过平均每个分子超过10个构象,该方法相对于基准Bennett接受比(BAR)方法的平均绝对偏差(MAD)为0.38 kcal/mol。此外,我们证明了MILC方法优于传统的基于体积的校正,并提供优于或与复杂机器学习模型相当的预测性能,同时保持高物理可解释性。这种水平的准确性和统计可靠性表明,具有MILC方法的3D-RISM理论是药物发现和材料设计中高通量应用的强大有效工具。
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引用次数: 0
UGA-SSMRPT2 - A Multireference Perturbation Theory Predicting Accurate Electronic Excitation Energies in Diverse Molecular Systems. UGA-SSMRPT2 -多参考微扰理论预测不同分子系统的精确电子激发能。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-03-06 DOI: 10.1021/acs.jctc.5c01958
Shamik Chanda, Pratyush Bhattacharjya, Avijit Sen, Sangita Sen

UGA-SSMRPT2, the spin-free perturbative analogue of Mukerjee's State-Specific Multireference Coupled Cluster Theory (MkMRCC), is known to be successful for size-extensive and intruder-free construction of dissociation curves. This work demonstrates that UGA-SSMRPT2 is also an accurate and computationally inexpensive framework for computing the excitation energies. The method achieves near-chemical accuracy for the vast majority of π → π*, n → π*, charge-transfer, valence-Rydberg, and Rydberg excited states commonly used for benchmarking electronic structure theories for excited states. Our results demonstrate that UGA-SSMRPT2 excitation energies lie within 0.20 eV of EOM-CCSD and/or well-established theoretical best estimates, often surpassing the popular MRPT2 approaches like NEVPT2, CASPT2, and MCQDPT while typically requiring smaller active spaces. Its state-specific formulation circumvents the well-known intruder-state problem and eliminates the need for empirical parameters, such as IPEA shifts in CASPT2. This work proposes UGA-SSMRPT2 as a robust and scalable approach for modeling challenging electronically excited states.

UGA-SSMRPT2是Mukerjee的特定状态多参考耦合簇理论(MkMRCC)的无自旋微扰模拟,已知在大尺寸和无入侵的解离曲线构建中是成功的。这项工作表明,UGA-SSMRPT2也是一种精确且计算成本低廉的激励能计算框架。该方法对绝大多数π→π*、n→π*、电荷转移、价-里德堡和里德堡激发态达到了接近化学的精度,这些激发态通常用于电子结构理论的基准测试。我们的研究结果表明,UGA-SSMRPT2激发能在EOM-CCSD和/或已建立的理论最佳估计的0.20 eV以内,通常超过流行的MRPT2方法,如NEVPT2, CASPT2和MCQDPT,同时通常需要更小的活动空间。其特定于状态的公式规避了众所周知的入侵者状态问题,并消除了对经验参数的需求,例如CASPT2中的IPEA移位。这项工作提出了UGA-SSMRPT2作为一个强大的和可扩展的方法来建模具有挑战性的电子激发态。
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引用次数: 0
5- and 6-Membered Rings: A Natural Orbital Functional Study. 五元和六元环:自然轨道功能研究。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-03-05 DOI: 10.1021/acs.jctc.5c01861
Ion Mitxelena, Juan Felipe Huan Lew-Yee, Mario Piris

The Global Natural Orbital Functional (GNOF) provides a straightforward approach to capture most electron correlation effects without needing perturbative corrections or limited active spaces selection. In this work, we evaluate both the original GNOF and its modified variant, GNOFm, on a set of twelve 5- and 6-membered molecular rings, systems characterized primarily by dynamic correlation. This reference set is vital as it comprises essential substructures of more complex molecules. We report complete-basis-set limit correlation energies for GNOF, GNOFm, and the benchmark CCSD(T) method. Across the Dunning basis sets, both functionals deliver a balanced and accurate description of the molecular set, with GNOFm showing small but systematic improvements while preserving the overall robustness of the original formulation. These results confirm the reliability of the GNOF family and its ability to capture dynamic correlation effects.

全球自然轨道泛函(GNOF)提供了一种直接的方法来捕获大多数电子相关效应,而不需要扰动修正或有限的活动空间选择。在这项工作中,我们在一组12个5元和6元分子环上评估了原始GNOF及其修饰变体gnfm,这些系统主要以动态相关为特征。这个参考集是至关重要的,因为它包含了更复杂分子的基本子结构。我们报告了GNOF、gnfm和基准CCSD(T)方法的完全基集极限相关能。在Dunning基集中,这两种功能都提供了分子集的平衡和准确描述,GNOFm显示了小而系统的改进,同时保留了原始配方的整体稳健性。这些结果证实了GNOF家族的可靠性及其捕捉动态相关效应的能力。
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引用次数: 0
Local Pair Natural Orbital-Based Coupled-Cluster Theory through Full Quadruples (DLPNO-CCSDTQ). 基于全四重子的局部对自然轨道耦合聚类理论。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-03-06 DOI: 10.1021/acs.jctc.5c01910
Andy Jiang, Devin A Matthews, David Poole, Connor G Briggs, Justin M Turney, C David Sherrill, Henry F Schaefer Iii

In this work, we implement a local pair natural orbital-based coupled-cluster method through the full treatment of quadruple excitations (CCSDTQ). The domain-based local pair natural orbital (DLPNO) approach, which has successfully been applied to lower levels of coupled-cluster theory, is utilized in our algorithm, and thus our algorithm is called DLPNO-CCSDTQ. For simplicity in the working equations and in the implementation, we t1-dress the two-electron integrals as well as Fock matrix elements. Our method can recover CCSDTQ-CCSDT and CCSDTQ-CCSDT(Q) energy differences on the order of 0.01-0.05 kcal mol-1, even at a loose quadruples natural orbital (QNO) occupation number cutoff of 3.33 × 10-6. To highlight the capabilities of our code and its potential future applications, we showcase computations that would be intractable with canonical CCSDTQ, such as the benzene dimer, (H2O)17, and adamantane. With sufficient computing resources, computations up to 15 heavy atoms (40 atoms overall) may be feasible for fully bonded 3D systems.

在这项工作中,我们通过充分处理四重激励(CCSDTQ)实现了一种基于局部对自然轨道的耦合簇方法。该算法采用了基于域的局部对自然轨道(DLPNO)方法,该方法已成功应用于较低级别的耦合聚类理论,因此我们的算法被称为DLPNO- ccsdtq。为了简化工作方程和实现,我们将双电子积分和Fock矩阵元素结合起来。我们的方法可以恢复CCSDTQ-CCSDT和CCSDTQ-CCSDT(Q)在0.01 ~ 0.05 kcal mol-1量级的能量差,即使在松散的四重自然轨道(QNO)占据数截止值为3.33 × 10-6的情况下。为了突出我们的代码的功能及其潜在的未来应用程序,我们展示了对于规范的CCSDTQ来说难以处理的计算,例如苯二聚体、(H2O)17和金刚烷。有了足够的计算资源,计算多达15个重原子(总共40个原子)对于完全键合的3D系统是可行的。
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引用次数: 0
Interpolative Separable Density Fitting on Adaptive Real Space Grids. 自适应空间网格的插值可分密度拟合。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-03-11 DOI: 10.1021/acs.jctc.5c02008
Hai Zhu, Chia-Nan Yeh, Miguel A Morales, Leslie Greengard, Shidong Jiang, Jason Kaye

We generalize the interpolative separable density fitting (ISDF) method, used for compressing the four-index electron repulsion integral (ERI) tensor, to incorporate adaptive real space grids for potentially highly localized single-particle basis functions. To do so, we employ a fast adaptive algorithm, the recently introduced dual-space multilevel kernel-splitting method, to solve the Poisson equation for the ISDF auxiliary basis functions. The adaptive grids are generated by using a high-order accurate, black-box procedure that satisfies a user-specified error tolerance. Our algorithm relies on the observation, which we prove, that an adaptive grid resolving the pair densities appearing in the ERI tensor can be straightforwardly constructed from one that resolves the single-particle basis functions, with the number of required grid points differing only by a constant factor. We find that the ISDF compression efficiency for the ERI tensor with highly localized basis sets is comparable to that for smoother basis sets compatible with uniform grids. To demonstrate the performance of our procedure, we consider several molecular systems with all-electron basis sets that are intractable using uniform grid-based methods. Our work establishes a pathway for scalable many-body electronic structure simulations with arbitrary smooth basis functions, making simulations of phenomena such as core-level excitations feasible on a large scale.

我们推广了用于压缩四指数电子排斥积分(ERI)张量的插值可分离密度拟合(ISDF)方法,以纳入潜在高度局域化的单粒子基函数的自适应真实空间网格。为此,我们采用了一种快速自适应算法,即最近引入的双空间多层核分裂方法,来求解ISDF辅助基函数的泊松方程。自适应网格通过使用高阶精确的黑盒程序生成,该程序满足用户指定的容错性。我们的算法依赖于我们所证明的观察,即解决ERI张量中出现的对密度的自适应网格可以直接从解决单粒子基函数的网格构建而来,所需网格点的数量仅相差一个常数因子。我们发现具有高度局域化基集的ERI张量的ISDF压缩效率与与均匀网格兼容的光滑基集相当。为了证明我们的程序的性能,我们考虑了几个具有全电子基集的分子系统,这些系统使用基于均匀网格的方法是难以处理的。我们的工作为具有任意光滑基函数的可扩展多体电子结构模拟建立了一条途径,使模拟核能级激发等现象在大规模上可行。
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引用次数: 0
Systematically Improvable and Locality Accelerated Enzymatic Reactivity Modeling: Toward Chemical Accuracy at Affordable Cost 系统改进和局部加速的酶反应性建模:在可承受的成本下实现化学准确性
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 DOI: 10.1021/acs.jctc.5c02128
Dénes Berta,József Csóka,Gyula Samu,Péter R. Nagy
Quantum mechanics/molecular mechanics (QM/MM) is the cornerstone of computational enzymology. Herein, we address an outstanding challenge in QM/MM, namely, simultaneous access to accurate QM methodology and a large QM subsystem at an affordable computational cost. First, local natural orbital (LNO)-based CCSD(T) is employed for chemically accurate energetics and as a reference for choosing density functional theory (DFT) models. Next, reliable hybrid DFT methods are selected, with large QM subsystem selections suitable also for reaction barriers. Then, quantum embedding, especially accelerated via our recent local embedded subsystem (LESS) approach, is used to reduce the cost of DFT calculations to a few core hours, even with large QM sizes up to ca. 400 QM atoms. By combining these advanced methods, we propose a Locality Accelerated (by LESS and LNO) and Systematically Improvable (LASI) scheme for QM/MM simulations. It benefits from the strengths of a converged QM size in its DFT component, affordability for many configurations via quantum embedding, and, if needed, CCSD(T) accuracy for energetics. The protocol is validated through the study of challenging, representative, and clinically relevant enzyme-catalyzed phosphate hydrolysis. Based on these results, we establish generally applicable guidelines to set up the components of the LASI protocol. The flexibility and affordability of LASI, both in large-scale QM and QM/MM contexts, make it broadly applicable for the predictive computational description of enzyme reactivity and beyond.
量子力学/分子力学(QM/MM)是计算酶学的基石。在这里,我们解决了QM/MM中一个突出的挑战,即以可承受的计算成本同时访问精确的QM方法和大型QM子系统。首先,将基于局部自然轨道(LNO)的CCSD(T)用于化学精确能量学,并作为选择密度泛函理论(DFT)模型的参考。其次,选择可靠的混合DFT方法,选择大的QM子系统也适用于反应垒。然后,量子嵌入,特别是通过我们最近的局部嵌入子系统(LESS)方法加速,被用来将DFT计算的成本降低到几个核心小时,即使是在大约400个QM原子的大QM尺寸下。结合这些先进的方法,我们提出了一种局部加速(由LESS和LNO)和系统改进(LASI)的QM/MM模拟方案。它受益于其DFT组件中的收敛QM尺寸的优势,通过量子嵌入的许多配置的可负担性,以及如果需要的话,能量学的CCSD(T)精度。该方案通过具有挑战性、代表性和临床相关的酶催化磷酸水解研究得到验证。基于这些结果,我们建立了一般适用的指南来设置LASI协议的组件。LASI在大规模QM和QM/MM环境中的灵活性和可负担性,使其广泛适用于酶反应性的预测计算描述等。
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引用次数: 0
CO2 Capture from Flue Gas: A High-Fidelity Force Field and Machine Learning Framework for Adsorbent Discovery. 从烟气中捕获二氧化碳:用于吸附剂发现的高保真力场和机器学习框架。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-03-02 DOI: 10.1021/acs.jctc.5c02156
Yunjie Lang, Yuwei Pan, Mengqian Xu, Xin Wei, Ran Duan, Shaohuang Li, Dong Zhai, Lei Sun, Weiqiao Deng, Li Yang

CO2 from flue gas is central to mitigating fossil-fuel-derived emissions, where adsorbent performance directly dictates process energy efficiency and process cost. Although machine learning (ML) has emerged as a powerful tool for accelerating adsorbent discovery, its predictive accuracy is fundamentally limited by the physical reliability of the underlying training data, a manifestation of the "garbage in, garbage out" (GIGO) problem. Most existing CO2 adsorption databases rely on Lennard-Jones (LJ) force fields, whose deficiencies in describing CO2-CO2 and CO2-framework interactions, particularly at high pressures, introduce systematic bias into the ML models. To address this, we developed a physically accurate van der Waals force field based on an Exp-PE potential and constructed a high-fidelity CO2 adsorption database. Building on this data set, we introduce quadrupole-responsive descriptors that explicitly capture the anisotropic electrostatics of CO2, leading to improved ML predictive accuracy. This framework identifies high-performing COF/MOF adsorbents, including COF-50 (ΔNCO2 = 13.58 mol/kg) and COF-364 (ΔNCO2 = 12.43 mol/kg), whose working capacities exceed those of current reported porous materials.

烟气中的二氧化碳对于减少化石燃料排放至关重要,吸附剂的性能直接决定了工艺能源效率和工艺成本。尽管机器学习(ML)已经成为加速吸附剂发现的强大工具,但其预测准确性从根本上受到底层训练数据的物理可靠性的限制,这是“垃圾输入,垃圾输出”(GIGO)问题的表现。大多数现有的二氧化碳吸附数据库依赖于Lennard-Jones (LJ)力场,该力场在描述二氧化碳-二氧化碳和二氧化碳-框架相互作用方面存在缺陷,特别是在高压下,这给ML模型带来了系统偏差。为了解决这个问题,我们开发了一个基于Exp-PE电位的物理精确范德华力场,并构建了一个高保真的CO2吸附数据库。在此数据集的基础上,我们引入了四极响应描述符,可以明确捕获CO2的各向异性静电,从而提高机器学习的预测精度。该框架确定了高性能的COF/MOF吸附剂,包括COF-50 (ΔNCO2 = 13.58 mol/kg)和COF-364 (ΔNCO2 = 12.43 mol/kg),其工作容量超过了目前报道的多孔材料。
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引用次数: 0
Simulation of Charge Distribution and Microstructure in Semicrystalline Polymeric Ionic-Electronic Conductors Using Classical Simulation at Constant Electrochemical Potential. 恒电势下半晶聚合物离子电子导体中电荷分布和微观结构的经典模拟。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-03-06 DOI: 10.1021/acs.jctc.5c02111
Zixuan Wei, Hesam Makki, Paola Carbone, Alessandro Troisi

Understanding how charge distributions on aggregated chains change with microstructure under constant electrochemical potential is crucial for elucidating the behavior of polymeric organic mixed ionic-electronic conductors (OMEICs), yet it remains difficult to study. To address this challenge, we introduce a methodology to perform classical atomistic simulations of doped semiconductors at a constant electrochemical potential. The method allows individual polymer chains to be oxidized and reduced, taking into account their individual redox potentials and the externally tunable electrochemical potential. The implementation follows a grand-canonical molecular dynamics (GC-MD) scheme, with the local modulation of the redox potential being described by a QM/MM Hamiltonian. Applied to a semicrystalline polymer with ordered layered and lamellar structures, the method reproduces the experimentally observed minimal structural changes over the electrochemical potentials and charging levels considered. Near the redox potential, charging levels fluctuate more strongly, and variations in the interlamellar angle (defined by the normal of adjacent lamellae) are most pronounced. Moreover, analysis of the local environment reveals no detectable correlation between a chain's redox reaction and the charge distribution of neighboring chains, except at the most negative potentials, where redox events occur preferentially in more positively charged surroundings. Lastly, examination of individual chains shows minimal chain-chain charge correlation, and the single-chain conformation remains closely linked to its redox behavior. Overall, this work provides a robust framework for investigating charge distributions in dynamically doped systems and offers new conceptual routes for studying polymer structural responses under constant electrochemical potentials.

了解在恒定电化学电位下聚合链上的电荷分布随微观结构的变化是阐明聚合物有机混合离子-电子导体(OMEICs)行为的关键,但研究起来仍然很困难。为了解决这一挑战,我们引入了一种方法来执行恒定电化学电位下掺杂半导体的经典原子模拟。该方法允许单个聚合物链被氧化和还原,同时考虑到它们的单个氧化还原电位和外部可调的电化学电位。实现遵循大规范分子动力学(GC-MD)方案,氧化还原电位的局部调制由QM/MM哈密顿量描述。应用于具有有序层状和层状结构的半晶聚合物,该方法再现了在电化学电位和充电水平上实验观察到的最小结构变化。在氧化还原电位附近,电荷水平波动更强烈,层间角(由相邻层的法向定义)的变化最为明显。此外,对局部环境的分析表明,链的氧化还原反应与邻近链的电荷分布之间没有可检测到的相关性,除了在最负电位下,氧化还原事件优先发生在带正电的环境中。最后,对单个链的检查显示最小的链-链电荷相关性,单链构象与其氧化还原行为密切相关。总的来说,这项工作为研究动态掺杂体系中的电荷分布提供了一个强大的框架,并为研究恒定电化学电位下聚合物结构响应提供了新的概念途径。
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引用次数: 0
MaxwellLink: A Unified Framework for Self-Consistent Light-Matter Simulations. 自洽光物质模拟的统一框架。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-02-27 DOI: 10.1021/acs.jctc.5c02028
Xinwei Ji, Andres Felipe Bocanegra Vargas, Gang Meng, Tao E Li

A major challenge in light-matter simulations is bridging the disparate time and length scales of electrodynamics and molecular dynamics. Current computational approaches often rely on heuristic approximations of either the electromagnetic (EM) or the material component, hindering the exploration of complex light-matter systems. Herein, MaxwellLink─a modular, open-source Python framework─is developed for the massively parallel, self-consistent propagation of classical EM fields interacting with a large heterogeneous molecular ensemble. The package utilizes a robust TCP/UNIX socket interface to couple EM solvers with a wide range of molecular drivers. In this initial release, MaxwellLink supports EM solvers spanning from single-mode cavities to full-feature three-dimensional finite-difference time-domain (FDTD) engines and molecules described by multilevel open quantum systems, force-field and first-principles molecular dynamics, and nonadiabatic real-time Ehrenfest dynamics. With the socket-based architecture, users can seamlessly switch between levels of theory of either the EM solver or molecules without modifying the counterpart. Moreover, the EM engine and molecular drivers scale independently across multiple high-performance computing (HPC) nodes, facilitating large-scale simulations previously inaccessible to existing numerical schemes. The versatility and accuracy of this code are further demonstrated through applications including superradiance, radiative energy transfer, vibrational strong coupling in Bragg resonators, and plasmonic heating of molecular gases. By providing a unified, extensible engine, MaxwellLink potentially offers a powerful platform for exploring emerging phenomena across the research fronts of spectroscopy, quantum optics, plasmonics, and polaritonics.

光物质模拟的一个主要挑战是在电动力学和分子动力学的不同时间和长度尺度之间架起桥梁。当前的计算方法通常依赖于电磁(EM)或材料成分的启发式近似,阻碍了对复杂光物质系统的探索。在这里,MaxwellLink──一个模块化、开源的Python框架──被开发出来,用于与大型异质分子集合相互作用的经典电磁场的大规模并行、自一致传播。该软件包利用强大的TCP/UNIX套接字接口将EM求解器与各种分子驱动程序耦合在一起。在这个初始版本中,MaxwellLink支持EM求解器,从单模腔到全功能三维时域有限差分(FDTD)引擎,以及由多层开放量子系统描述的分子,力场和第一性原理分子动力学,以及非绝热实时Ehrenfest动力学。使用基于插座的架构,用户可以在EM求解器或分子的理论级别之间无缝切换,而无需修改对应的内容。此外,EM引擎和分子驱动程序在多个高性能计算(HPC)节点上独立扩展,促进了以前现有数值方案无法实现的大规模模拟。该代码的多功能性和准确性通过应用进一步证明,包括超辐射,辐射能量传递,布拉格谐振器中的振动强耦合,以及分子气体的等离子体加热。通过提供一个统一的、可扩展的引擎,MaxwellLink有可能为探索光谱学、量子光学、等离子体和极化电子学等研究前沿的新兴现象提供一个强大的平台。
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引用次数: 0
How Long-Range Are Three-Body "Exchange" Interactions in Liquid Water? 液态水中三体“交换”相互作用的距离有多远?
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-24 Epub Date: 2026-03-12 DOI: 10.1021/acs.jctc.5c02107
Ommair Ishaque, John W Melkumov, Krzysztof Szalewicz

Three-body interactions in water play a crucial role in accurately modeling its structural and thermodynamic properties. These interactions consist of a polarization term that decays as an inverse power of the intermolecular separations Rab and a term that is usually assumed to describe exchange interactions and decay exponentially. Due to the complexity of fitting the latter term at large Rab, it is often damped or truncated beyond a certain distance, also because the computational cost of including three-body effects in molecular simulations scales as N3 with the number of molecules, compared to the N2 scaling of two-body interactions. Here, investigations of the impact of long-range three-body exchange interactions on the results of such simulations have been performed by systematically extending the average Rab of trimers included. It is demonstrated that these long-range effects are important for accurately describing the density of liquid water, ρ(T), as a function of temperature, but are essentially negligible for several other properties of water. The effects of three-body damping onset on ρ(T) are larger than they would have been with an exponential decay; however, it is shown here that the decay is dominated by exponential components only at fairly small Rab, while for large Rab, the nonpolarization three-body effects decay as 1/Rabn. These findings are rationalized by calculations with the symmetry-adapted perturbation theory. Another reason for the importance of three-body effects is their N3 scaling. Clearly, long-range three-body exchange interactions should be included in high-accuracy water models. It is shown that the reason these interactions have such large effects on ρ(T) is their extreme anisotropy affecting the structure of liquid water. Our work also sheds light on discrepancies between the theory and experiment for ρ(T).

水的三体相互作用在精确模拟水的结构和热力学性质方面起着至关重要的作用。这些相互作用包括一个极化项,它作为分子间分离Rab的逆幂衰减,以及一个通常被认为描述交换相互作用和指数衰减的项。由于在大Rab下拟合后一项的复杂性,它经常在一定距离之外被阻尼或截断,也因为在分子模拟中包括三体效应的计算成本与分子数量的比例为N3,而两体相互作用的比例为N2。本文通过系统地扩展所含三聚体的平均Rab,研究了远程三体交换相互作用对模拟结果的影响。结果表明,这些长程效应对于准确地描述液态水的密度ρ(T)作为温度的函数是很重要的,但对于水的其他一些性质来说,基本上是可以忽略不计的。三体阻尼开始对ρ(T)的影响比指数衰减时更大;然而,这里显示,衰减仅在相当小的Rab下由指数分量主导,而在较大的Rab下,非极化三体效应衰减为1/Rabn。这些发现是合理的计算与对称适应微扰理论。三体效应重要的另一个原因是它们的N3标度。显然,远程三体交换相互作用应包括在高精度水模型中。结果表明,这些相互作用对ρ(T)有如此大影响的原因是它们的极端各向异性影响了液态水的结构。我们的工作还揭示了ρ(T)的理论和实验之间的差异。
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Journal of Chemical Theory and Computation
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