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Unified MPI Parallelization of Wave Function Methods: iCIPT2 as a Showcase. 波函数的统一MPI并行化方法:以iCIPT2为例。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-23 DOI: 10.1021/acs.jctc.6c00215
Qingpeng Wang, Ning Zhang, Wenjian Liu

The integration of quantum chemical methods with high-performance computing is indispensable for handling large systems with modest accuracy or even small systems but with high accuracy. Continuing with the unified implementation of nonrelativistic and relativistic wave function methods within the MetaWave platform (J. Phys. Chem. A 2025, 129, 5170), we present here a unified MPI parallelization of the methods by abstracting every computational step of a method as a dynamically scheduled loop via ghost process, followed by a global reduction of local results from each node. The algorithmic abstraction enables the use of a single MPI template in various steps of different methods. Taking iCIPT2 [J. Chem. Theory Comput. 2021, 17, 949] as a showcase, the parallel efficiencies achieve 94% and 89% on 16 nodes (1024 cores) for the perturbation and whole calculations, respectively. Further combined with an improved algorithm for the matrix-vector product in the matrix diagonalization and an orbital-configuration-based semistochastic estimator for the perturbation correction, this renders large active space calculations possible, so as to obtain benchmarks for the automerization of cyclobutadiene, ground-state energy of benzene, and potential energy profile of ozone. It is also shown that the error of iCIPT2 follows a power law with respect to the number of configuration state functions.

量子化学方法与高性能计算的集成对于处理精度适中的大型系统甚至精度较高的小型系统是必不可少的。继续在MetaWave平台内统一实现非相对论性和相对论性波函数方法(J. Phys;化学。在此,我们提出了一种统一的MPI并行化方法,通过将方法的每个计算步骤抽象为通过鬼进程动态调度的循环,然后对每个节点的局部结果进行全局约简。算法抽象使得在不同方法的不同步骤中使用单个MPI模板成为可能。[J]。化学。理论计算。2021,17,949]作为展示,在16个节点(1024个核心)上,微扰和整体计算的并行效率分别达到94%和89%。进一步结合矩阵对角化中改进的矩阵-矢量积算法和基于轨道构型的扰动校正半随机估计器,使大的主动空间计算成为可能,从而获得环丁二烯自动机、苯基态能和臭氧势能分布的基准。结果还表明,iCIPT2的误差与组态函数的个数呈幂律关系。
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引用次数: 0
Orbital Optimization and Neural-Network-Assisted Configuration Interaction Calculations of Rydberg States. Rydberg态的轨道优化和神经网络辅助构型相互作用计算。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-23 DOI: 10.1021/acs.jctc.5c01837
Gianluca Levi, Max Kroesbergen, Louis Thirion, Yorick L A Schmerwitz, Elvar Ö Jónsson, Pavlo Bilous, Philipp Hansmann, Hannes Jónsson

Rydberg excited states of molecules pose a challenge for electronic structure calculations because of their highly diffuse electron distribution. Even large and elaborate atomic basis sets tend to underrepresent the long-range tail, overly confining the Rydberg state. An approach is presented here where the molecular orbitals are variationally optimized for the excited state using a plane wave basis set in a Hartree-Fock calculation, followed by a configuration interaction calculation. The use of excited state optimized orbitals greatly enhances the convergence of the many-body calculation, as illustrated by a full configuration interaction calculation of the 2s Rydberg state of H2. A neural-network-based selective configuration interaction approach is then applied to calculations of 3s and 3p states of H2O and NH3. The obtained values of excitation energy are in close agreement with experimental measurements as well as previous many-body calculations where sufficiently diffuse atomic basis sets were used. Calculations using atomic basis sets lacking extra diffuse functions, such as aug-cc-pVTZ, give significantly higher estimates due to confinement of the Rydberg states.

分子的里德伯激发态由于其高度扩散的电子分布,给电子结构计算带来了挑战。即使是庞大而精细的原子基集,也往往不能充分表示长尾,过度限制了里德伯态。本文提出了一种方法,利用Hartree-Fock计算中设置的平面波基对分子轨道进行激发态变分优化,然后进行组态相互作用计算。激发态优化轨道的使用大大提高了多体计算的收敛性,H2的2s Rydberg态的全组态相互作用计算表明了这一点。然后将基于神经网络的选择性构型相互作用方法应用于H2O和NH3的3s态和3p态的计算。所得到的激发能值与实验测量值以及以前使用充分扩散原子基集的多体计算值非常吻合。使用缺乏额外扩散函数的原子基集计算,如aug-cc-pVTZ,由于里德伯态的限制,给出了明显更高的估计。
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引用次数: 0
QC Lab: A Python Package for Quantum-Classical Dynamics. QC Lab:用于量子经典动力学的Python包。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-23 DOI: 10.1021/acs.jctc.5c01818
Alex Krotz, Antonio J Garzón-Ramírez, Ethan Byrd, Ken Miyazaki, Roel Tempelaar

QC Lab is an open-source Python package for quantum-classical (QC) dynamics simulations aimed to promote the development of QC algorithms, and their application to a wide variety of relevant model problems. It follows a modular design that facilitates cross-compatibility between algorithms and models. By decomposing algorithms and models into a series of tasks and ingredients that can be substituted and reused, it minimizes development efforts and code redundancy. In this Paper, we introduce the first stable version of QC Lab, and describe its design philosophy.

QC Lab是一个开源的Python包,用于量子经典(QC)动力学模拟,旨在促进QC算法的发展,并将其应用于各种相关的模型问题。它遵循模块化设计,促进算法和模型之间的交叉兼容性。通过将算法和模型分解为一系列可以替换和重用的任务和成分,它将开发工作和代码冗余最小化。本文介绍了QC Lab的第一个稳定版本,并描述了它的设计理念。
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引用次数: 0
pyEF: A Python Framework for QM and QM/MM Atom-Wise Electric Field Analysis. QM和QM/MM原子智电场分析的Python框架。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-23 DOI: 10.1021/acs.jctc.6c00065
Melissa T Manetsch, David W Kastner, Yuriy Román-Leshkov, Heather J Kulik

We introduce pyEF, a software package for computing molecular electric fields, electrostatic interaction energies, and electrostatic potentials from quantum mechanical (QM) atom-centered multipole expansions with atom-wise decomposable contributions. We demonstrate the computational efficiency and accuracy of this QM-derived electric field evaluation tool through several tests. To assess the influence of the underlying QM method and charge partitioning scheme on these electrostatic quantities, we analyze over 250 configurations of an acetone solute molecule in five solvents of variable polarity. We find that electric field calculations are highly sensitive to the choice of charge partitioning method. Even among real-space charge schemes, acetone Stark tuning rates differ by up to a factor of 2. Benchmarking computed solvent dipole moments against experimental bulk values, we conclude that the CM5, ADCH, and Hirshfeld-I charge schemes most reliably capture solvent electrostatics and therefore provide a more faithful foundation for computing electric fields. When constructed from these real-space charges, electric fields are nearly insensitive to basis set size and monotonically increase in magnitude with higher Fock exchange. We also demonstrate efficient convergence of QM electrostatics when more distant molecules are represented solely by MM point charges, reducing computational overhead. Leveraging these findings, we demonstrate the use of pyEF to deduce environmental effects on a transition metal complex from a Ga4L612- nanocage and quantify the dominant role of organic linkers in orchestrating electrostatic preorganization.

我们介绍了pyEF,一个用于计算具有原子可分解贡献的量子力学(QM)原子中心多极展开的分子电场、静电相互作用能和静电势的软件包。我们通过几个测试证明了该量子力学推导的电场评估工具的计算效率和准确性。为了评估潜在的QM方法和电荷分配方案对这些静电量的影响,我们分析了丙酮溶质分子在五种变极性溶剂中的250多种构型。我们发现电场计算对电荷分配方法的选择非常敏感。即使在实际空间电荷方案中,丙酮Stark调谐率的差异也高达2倍。通过对计算溶剂偶极矩与实验体积值的对比,我们得出结论,CM5、ADCH和Hirshfeld-I电荷方案最可靠地捕获溶剂静电,因此为计算电场提供了更可靠的基础。当由这些实空间电荷构成时,电场对基集大小几乎不敏感,并且随着Fock交换的增加而单调增加。我们还证明了当较远的分子仅由MM点电荷表示时,QM静电的有效收敛性,从而减少了计算开销。利用这些发现,我们证明了使用pyEF来推断Ga4L612-纳米笼中过渡金属配合物的环境影响,并量化了有机连接剂在协调静电预组织中的主导作用。
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引用次数: 0
Comprehensive Comparison of Molecular Fragmentation Schemes for Proteins. 蛋白质分子片段化方案的综合比较。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-21 DOI: 10.1021/acs.jctc.5c01949
Katharina Rüther,Ken Bunge,Lasse M Hilmer,Janine Hellmers,Carolin König
Conventional quantum chemical (QC) methods exhibit a steep computational scaling with respect to the number of atoms in the investigated system. Hence, working with larger systems like peptides or even proteins becomes computationally unfeasible with traditional QC methods. One way to overcome this challenge is through molecular fragmentation methods. Many different flavours of molecular fragmentation schemes based on different partitionings have been suggested in the literature, but have hardly been compared numerically. Our group has recently reported a common formalism for molecular fragmentation schemes, which enables a consistent benchmark of different approaches. Here, we assess the performance of the molecular fractionation with hydrogen caps (MFHC), the pair-pair approximation to the generalized many-body expansion (pp-GMBE), the molecules-in-molecules (MIM) approach, and the kernel energy method (KEM) within this general framework. Our benchmark includes single- and multilevel schemes as well as an electrostatic embedding of the fragments in point charges of the whole system. The energies and computational demand of a chosen set of proteins are evaluated with the different methods within the framework. This enables a rare numerical comparison between the different schemes. Of the compared methods, our implementation of pp-GMBE yields the best agreement with supermolecular QC reference calculations, while MFHC with additional pair couplings offers a good cost-accuracy ratio.
传统的量子化学(QC)方法在研究系统中的原子数量方面表现出陡峭的计算尺度。因此,使用传统的质量控制方法来处理更大的系统,如肽甚至蛋白质,在计算上是不可行的。克服这一挑战的一种方法是通过分子碎片化方法。在文献中提出了基于不同分割的许多不同风味的分子分裂方案,但几乎没有进行数值比较。我们的小组最近报告了分子碎片方案的共同形式,它使不同方法的一致基准成为可能。在这里,我们评估了氢帽分子分馏(MFHC)、广义多体展开(pp-GMBE)的对对近似、分子中分子(MIM)方法和核能法(KEM)在这个一般框架内的性能。我们的基准包括单级和多级方案,以及整个系统点电荷中碎片的静电嵌入。在框架内用不同的方法对选定的一组蛋白质的能量和计算需求进行了评估。这使得不同方案之间难得的数值比较成为可能。在比较的方法中,我们实现的pp-GMBE与超分子QC参考计算的一致性最好,而附加对耦合的MFHC提供了良好的成本-精度比。
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引用次数: 0
An Algorithm for Atom-Centered Lossy Compression of the Atomic Orbital Basis in Density Functional Theory Calculations. 密度泛函理论计算中原子轨道基的原子中心有损压缩算法。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-20 DOI: 10.1021/acs.jctc.5c01988
Anthony O Lara, Justin J Talbot, Zhe Wang, Martin Head-Gordon

Large atomic-orbital (AO) basis sets of at least triple and preferably quadruple-ζ (QZ) size are required to adequately converge Kohn-Sham density functional theory (DFT) calculations toward the complete basis set limit. However, incrementing the cardinal number by one nearly doubles the AO basis dimension, and the computational cost scales as the cube of the AO dimension, so this is very computationally demanding. In this work, we develop and test a threshold-based natural atomic orbital (NAO) scheme in which ϵ-NAOs are obtained as eigenfunctions of atomic blocks of the density matrix in a one-center orthogonalized representation. This enables compression of the AO basis that is optimal for a given threshold, 10, by discarding NAOs with occupation numbers below that threshold. Extensive pilot test calculations using the Hartree-Fock functional and taking the converged density matrix as input suggest that a threshold of 10-5 can yield a compression factor (ratio of AO to compressed ϵ-NAO dimension) between 2.5 and 4.5 for the QZ pc-3 basis. The errors in relative energies are typically less than 0.1 kcal/mol when the compressed basis is used instead of the uncompressed basis. Between 10 and 100 times smaller errors (i.e., usually less than 0.01 kcal/mol) can be obtained with a threshold 10-7, while the compression factor is typically between 2 and 2.5.

大的原子-轨道(AO)基集至少三倍,最好是四倍-ζ (QZ)大小是必要的,以充分收敛Kohn-Sham密度泛函理论(DFT)计算向完全基集极限。然而,基数每增加1几乎会使AO基维增加一倍,并且计算成本是AO维的立方,因此这对计算量要求很高。在这项工作中,我们开发并测试了一个基于阈值的自然原子轨道(NAO)方案,其中ϵ-NAOs作为密度矩阵的原子块的特征函数在一个中心正交表示中得到。这可以通过丢弃占用数低于该阈值的nao来压缩给定阈值(10- λ)的AO基。使用Hartree-Fock函数并将收敛密度矩阵作为输入的大量先导测试计算表明,对于QZ pc-3基础,10-5的阈值可以产生2.5到4.5之间的压缩因子(AO与压缩ϵ-NAO维度的比率)。用压缩基代替未压缩基时,相对能误差一般小于0.1 kcal/mol。当阈值为10-7时,可以获得10到100倍的小误差(即,通常小于0.01 kcal/mol),而压缩因子通常在2到2.5之间。
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引用次数: 0
Nuclear Quantum Effects on the Equation of State of Water: Insights from the Potential Energy Landscape Formalism. 水的状态方程的核量子效应:来自势能景观形式主义的见解。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-20 DOI: 10.1021/acs.jctc.5c02151
Ali Eltareb,Gustavo E Lopez,Nicolas Giovambattista
We apply the potential energy landscape (PEL) formalism for quantum liquids, together with path-integral (PI) computer simulations, to derive the equation of state (EOS) for both equilibrium and supercooled water over a wide range of temperatures and pressures. The PEL-EOS for water, which includes nuclear quantum effects (NQE), is in very good agreement with the PI computer simulations, particularly in the proximity of water's liquid-liquid critical point (LLCP). Relative to the classical case, including NQE shifts the overall phase diagram of water toward lower temperatures and slightly lower pressures. In particular, the LLCP temperature and pressure are shifted by ΔTc ≈ 18 K and ΔPc ≈ 49 MPa, with a minor change in the LLCP density, Δρc ≈ 0.002 g/cm3. These values of (ΔPc, ΔTc, Δρc) represent, approximately, a maximum shift for the location of the LLCP for H2O due to isotope substitution (H2O → D2O → T2O). Additionally, NQE also affect the shape of the density and LL spinodal lines in the P-T plane. The PEL of (q-TIP4P/F) water is Gaussian, allowing for the evaluation of the configurational entropy SIS(T, V) and Kauzmann temperature, TK(V). NQE reduce the TK(V) of water by 5-20 K depending on the density, consistent with the observed increase in water diffusion coefficient D at low temperatures upon the inclusion of quantum fluctuations. Notably, the Adam-Gibbs relationship, which relates D and SIS, holds remarkably well at all densities studied. From the perspective of the PEL formalism, NQE primarily modify the curvature of water's PEL basins while the corresponding IS remain unchanged, isomorphic to the IS of classical water. The PEL-based approach employed in this work is versatile and physically intuitive, suitable for calculating the free energy and EOS of quantum liquids beyond water.
我们应用量子液体的势能景观(PEL)形式,以及路径积分(PI)计算机模拟,推导出在广泛的温度和压力范围内平衡和过冷水的状态方程(EOS)。水的PEL-EOS,包括核量子效应(NQE),与PI的计算机模拟非常吻合,特别是在水的液-液临界点(LLCP)附近。与经典情况相比,包括NQE在内,水的整体相图向更低的温度和稍低的压力方向移动。特别是,LLCP温度和压力的变化分别为ΔTc≈18 K和ΔPc≈49 MPa, LLCP密度的变化较小,为Δρc≈0.002 g/cm3。这些值(ΔPc, ΔTc, Δρc)大致表示H2O的LLCP位置由于同位素取代(H2O→D2O→T2O)而发生的最大位移。此外,NQE还会影响P-T平面上的密度和LL旋量线的形状。(q-TIP4P/F)水的PEL是高斯分布的,允许对构型熵SIS(T, V)和Kauzmann温度TK(V)进行评估。NQE使水的TK(V)随密度的不同而降低5-20 K,这与加入量子涨落后观察到的低温下水扩散系数D的增加一致。值得注意的是,将D和SIS联系起来的亚当-吉布斯关系在所研究的所有密度下都非常有效。从PEL的形式来看,NQE主要改变了水体PEL盆地的曲率,而对应的IS保持不变,与经典水体的IS同构。这项工作中采用的基于pel的方法具有通用性和物理直观性,适用于计算水以外量子液体的自由能和EOS。
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引用次数: 0
Induced Dipole Calculation with E(3)-Equivariant Neural Networks and Multipole Field Perturbation. 用E(3)-等变神经网络和多极场微扰计算感应偶极子。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-19 DOI: 10.1021/acs.jctc.5c02167
Shiyue Yang,Jing Huang
Polarizable force fields based on induced dipoles are widely implemented in molecular dynamics simulations of biological systems to explicitly capture electric induction effects. The iterative computation of induced dipoles suffers from convergence issue in large systems. We describe the implementation of an E(3)-equivariant neural network for predicting induced dipoles in polar solvent systems to avoid the numerical iterations. The neural network is combined with a physics-informed loss function to enable the use of artificially perturbed training data sets. The architecture is validated on water systems, benchmarked across varying densities, system sizes and ice polymorphs, and further integrated into molecular dynamics simulations. We demonstrate that perturbation-based data augmentation substantially enhances model transferability across diverse chemical environments, while physics-informed loss alone offers limited gains in generalization.
基于感应偶极子的极化力场被广泛应用于生物系统的分子动力学模拟中,以明确地捕捉电感应效应。在大系统中,诱导偶极子的迭代计算存在收敛性问题。我们描述了用于预测极性溶剂系统中诱导偶极子的E(3)-等变神经网络的实现,以避免数值迭代。神经网络与物理信息损失函数相结合,可以使用人为扰动的训练数据集。该体系结构在水系统上进行了验证,对不同密度、系统大小和冰的多晶型进行了基准测试,并进一步集成到分子动力学模拟中。我们证明了基于扰动的数据增强大大提高了模型在不同化学环境中的可转移性,而物理信息损失本身在泛化方面的收益有限。
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引用次数: 0
PNcsp+: A Periodic Number-Based Crystal Structure Prediction Method Enhanced by Machine Learning. PNcsp+:一种基于机器学习的周期性数字晶体结构预测方法。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-19 DOI: 10.1021/acs.jctc.6c00044
Cem Oran,Riccarda Caputo,Pierre Villars,Adem Tekin
Crystal structure prediction (CSP) is central to materials discovery, yet its efficiency and interpretability remain limited by the vast configurational space and reliance on costly local optimizations. Although template-based and machine-learning (ML) approaches have improved exploration, many approaches still require large data sets, complex similarity metrics, or opaque generative pipelines. In this work, we introduce PNcsp+, an enhanced and chemically interpretable CSP framework that uses the Mendeleev Periodic Number (PN) as a transparent descriptor of elemental similarity. PNcsp+ expands the original implementation through a larger prototype library, an improved data management strategy, and ML-assisted prototype scoring by combining cutting-edge neural network models such as MACE, M3GNet, and ALIGNN-FF. Despite its simplicity, PNcsp+ reaches state-of-the-art performance. In evaluations on the CSPBench data set─a curated set of 180 benchmark crystal structures for assessing CSP methods─our approach surpasses alternative methods by achieving 86.1% space group accuracy and 85.0% structure matching accuracy within the Top-5 predictions, all without structure relaxations. Moreover, our case study on several hybrid systems, including ammonium and methylammonium cations, demonstrated that molecular components emerge autonomously in the predicted lattices, guided solely by PN-derived similarity relationships. Overall, PNcsp+ shows that fundamental periodic trends, combined with targeted ML-based evaluation, offer an efficient, scalable, and interpretable CSP framework, enabling accelerated discovery across both inorganic and hybrid chemical spaces.
晶体结构预测(CSP)是材料发现的核心,但其效率和可解释性仍然受到巨大的构型空间和依赖昂贵的局部优化的限制。尽管基于模板和机器学习(ML)的方法已经改进了探索,但许多方法仍然需要大型数据集、复杂的相似性度量或不透明的生成管道。在这项工作中,我们引入了PNcsp+,这是一个增强的化学可解释的CSP框架,它使用门捷列夫周期数(PN)作为元素相似性的透明描述符。PNcsp+通过更大的原型库、改进的数据管理策略和ml辅助原型评分(结合MACE、M3GNet和align - ff等尖端神经网络模型)扩展了原始实现。尽管它很简单,PNcsp+达到了最先进的性能。在对CSPBench数据集(用于评估CSP方法的180个基准晶体结构的精选集)的评估中,我们的方法超过了其他方法,在前5个预测中实现了86.1%的空间群精度和85.0%的结构匹配精度,而且都没有结构松弛。此外,我们对几个杂化系统的案例研究,包括铵和甲基铵阳离子,表明分子成分在预测晶格中自主出现,仅由pn衍生的相似关系引导。总的来说,PNcsp+显示了基本的周期性趋势,结合有针对性的基于ml的评估,提供了一个高效、可扩展和可解释的CSP框架,从而加速了无机和混合化学领域的发现。
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引用次数: 0
Gaussian Charge-Based Electrostatic Embedding Scheme for Solid-State Excited-State Modeling. 基于高斯电荷的固体激发态建模静电嵌入方案。
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-03-19 DOI: 10.1021/acs.jctc.6c00045
Alexandre Huguet,Ilaria Ciofini,Frédéric Labat
Electrostatic embedding schemes represent an affordable and accurate alternative to more costly approaches to model the excited-state properties of crystalline materials. They are commonly based on point-charge (PC) formalisms, which may lead to numerical instabilities and unphysical electron density (de)localization. In this work, we introduce and validate a Gaussian charge-based (GC) electrostatic embedding scheme for solid-state excited-state calculations based on analytical Ewald lattice summations. The implementation is first validated by systematically comparing electrostatic potentials obtained using PC and GC formalisms at the atomic sites of a broad and representative data set of 530 crystalline structures, covering all space-group types and crystallographic settings. Excellent agreement between PC and GC electrostatic potentials is obtained when the Gaussian width parameter is appropriately chosen. In particular, from the overlap of two GC distributions, we propose a criterion based on the minimal interatomic distance to define an upper bound of the Gaussian width parameter, which still maintains reasonable agreement with the PC-based Ewald potentials for embedded excited-state calculations. The GC embedding scheme is then applied to the modeling of excited-state properties of crystalline imidazole using embedded monomer and hydrogen-bonded dimer models in vacuum, dielectric media, and crystalline environments. The results demonstrate that, although both PC and GC embeddings yield excitation energies in very good agreement with GW-BSE and optimally tuned range-separated hybrid calculations, GC avoids the excessive electron density contraction observed with PC. Overall, the proposed GC-based electrostatic embedding scheme therefore offers a robust and physically sound alternative to PC models for excited-state calculations in solids and constitutes a promising framework for both future methodological developments and practical applications in embedded excited-state calculations.
静电嵌入方案代表了一种经济而准确的替代更昂贵的方法来模拟晶体材料的激发态特性。它们通常基于点电荷(PC)形式,这可能导致数值不稳定和非物理电子密度(去局部化)。在这项工作中,我们介绍并验证了基于解析埃瓦尔德晶格求和的基于高斯电荷(GC)的固体激发态计算静电嵌入方案。首先通过系统地比较在530个晶体结构的广泛和具有代表性的数据集的原子位置上使用PC和GC形式获得的静电势来验证该实现,这些数据集涵盖了所有空间群类型和晶体学设置。在选择合适的高斯宽度参数时,PC和GC的静电势具有很好的一致性。特别是,根据两个GC分布的重叠,我们提出了一个基于最小原子间距离的准则来定义高斯宽度参数的上界,该参数仍然与基于pc的嵌入激发态计算的埃瓦尔德势保持合理的一致性。然后将GC嵌入方案应用于在真空、介电介质和晶体环境中使用嵌入单体和氢键二聚体模型对晶体咪唑的激发态特性进行建模。结果表明,尽管PC和GC嵌入产生的激发能与GW-BSE和最佳调谐的距离分离混合计算非常一致,但GC避免了PC观察到的过度电子密度收缩。总的来说,提出的基于gc的静电嵌入方案因此为固体中激发态计算的PC模型提供了一个强大的和物理上合理的替代方案,并为未来的方法发展和嵌入式激发态计算的实际应用构成了一个有希望的框架。
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引用次数: 0
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Journal of Chemical Theory and Computation
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