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The versatility of the Cholesky decomposition in electronic structure theory 乔利斯基分解在电子结构理论中的多功能性
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-10-25 DOI: 10.1002/wcms.1692
Thomas Bondo Pedersen, Susi Lehtola, Ignacio Fdez. Galván, Roland Lindh

The resolution-of-the-identity (RI) or density fitting (DF) approximation for the electron repulsion integrals (ERIs) has become a standard component of accelerated and reduced-scaling implementations of first-principles Gaussian-type orbital electronic-structure methods. The Cholesky decomposition (CD) of the ERIs has also become increasingly deployed across quantum chemistry packages in the last decade, even though its early applications were mostly limited to high-accuracy methods such as coupled-cluster theory and multiconfigurational approaches. Starting with a summary of the basic theory underpinning both the CD and RI/DF approximations, thus underlining the extremely close relation of the CD and RI/DF techniques, we provide a brief and largely chronological review of the evolution of the CD approach from its birth in 1977 to its current state. In addition to being a purely numerical procedure for handling ERIs, thus providing robust and computationally efficient approximations to the exact ERIs that have been found increasingly useful on modern computer platforms, CD also offers highly accurate approaches for generating auxiliary basis sets for the RI/DF approximation on the fly due to the deep mathematical connection between the two approaches. In this review, we aim to provide a concise reference of the main techniques employed in various CD approaches in electronic structure theory, to exemplify the connection between the CD and RI/DF approaches, and to clarify the state of the art to guide new implementations of CD approaches across electronic structure programs.

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电子斥力积分(ERIs)的同一性解析(RI)或密度拟合(DF)近似已成为第一原理高斯轨道电子结构方法加速和缩减缩放实施的标准组成部分。ERIs的Cholesky分解(CD)在过去十年中也越来越多地应用于量子化学软件包中,尽管其早期应用主要局限于高精度方法,如耦合簇理论和多配置方法。我们首先总结了 CD 和 RI/DF 近似的基础理论,从而强调了 CD 和 RI/DF 技术之间极为密切的关系,然后按时间顺序简要回顾了 CD 方法从 1977 年诞生到现在的演变过程。CD 是一种处理 ERI 的纯数值程序,可为精确 ERI 提供稳健且计算效率高的近似值,在现代计算机平台上越来越有用;此外,由于 RI/DF 近似与 CD 两种方法之间存在深层数学联系,CD 还可为 RI/DF 近似提供高精度的辅助基集生成方法。在这篇综述中,我们旨在简明扼要地介绍电子结构理论中各种 CD 方法所采用的主要技术,举例说明 CD 和 RI/DF 方法之间的联系,并阐明目前的技术水平,以指导电子结构程序中 CD 方法的新实施:
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引用次数: 0
Recent advances in deep learning for retrosynthesis 逆合成深度学习的最新进展
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-10-20 DOI: 10.1002/wcms.1694
Zipeng Zhong, Jie Song, Zunlei Feng, Tiantao Liu, Lingxiang Jia, Shaolun Yao, Tingjun Hou, Mingli Song

Retrosynthesis is the cornerstone of organic chemistry, providing chemists in material and drug manufacturing access to poorly available and brand-new molecules. Conventional rule-based or expert-based computer-aided synthesis has obvious limitations, such as high labor costs and limited search space. In recent years, dramatic breakthroughs driven by deep learning have revolutionized retrosynthesis. Here we aim to present a comprehensive review of recent advances in AI-based retrosynthesis. For single-step and multi-step retrosynthesis both, we first introduce their goal and provide a thorough taxonomy of existing methods. Afterwards, we analyze these methods in terms of their mechanism and performance, and introduce popular evaluation metrics for them, in which we also provide a detailed comparison among representative methods on several public datasets. In the next part, we introduce popular databases and established platforms for retrosynthesis. Finally, this review concludes with a discussion about promising research directions in this field.

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逆合成是有机化学的基石,它为材料和药物制造领域的化学家提供了获取现有稀缺分子和全新分子的途径。传统的基于规则或专家的计算机辅助合成具有明显的局限性,例如高昂的人力成本和有限的搜索空间。近年来,深度学习带来的巨大突破彻底改变了逆合成技术。在此,我们旨在全面回顾基于人工智能的逆合成的最新进展。对于单步逆合成和多步逆合成,我们首先介绍了它们的目标,并对现有方法进行了全面分类。随后,我们从机制和性能方面分析了这些方法,并介绍了流行的评估指标,其中我们还在几个公共数据集上对代表性方法进行了详细比较。在下一部分中,我们将介绍流行的数据库和成熟的逆合成平台。最后,本综述对该领域有前景的研究方向进行了讨论:
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引用次数: 0
The kth nearest neighbor method for estimation of entropy changes from molecular ensembles 估计分子集合熵变化的第 k 次近邻法
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-10-02 DOI: 10.1002/wcms.1691
Federico Fogolari, Roberto Borelli, Agostino Dovier, Gennaro Esposito

All processes involving molecular systems entail a balance between associated enthalpic and entropic changes. Molecular dynamics simulations of the end-points of a process provide in a straightforward way the enthalpy as an ensemble average. Obtaining absolute entropies is still an open problem and most commonly pathway methods are used to obtain free energy changes and thereafter entropy changes. The kth nearest neighbor (kNN) method has been first proposed as a general method for entropy estimation in the mathematical community 20 years ago. Later, it has been applied to compute conformational, positional–orientational, and hydration entropies of molecules. Programs to compute entropies from molecular ensembles, for example, from molecular dynamics (MD) trajectories, based on the kNN method, are currently available. The kNN method has distinct advantages over traditional methods, namely that it is possible to address high-dimensional spaces, impossible to treat without loss of resolution or drastic approximations with, for example, histogram-based methods. Application of the method requires understanding the features of: the kth nearest neighbor method for entropy estimation; the variables relevant to biomolecular and in general molecular processes; the metrics associated with such variables; the practical implementation of the method, including requirements and limitations intrinsic to the method; and the applications for conformational, position/orientation and solvation entropy. Coupling the method with general approximations for the multivariable entropy based on mutual information, it is possible to address high dimensional problems like those involving the conformation of proteins, nucleic acids, binding of molecules and hydration.

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所有涉及分子系统的过程都需要在相关的焓变和熵变之间取得平衡。对一个过程的终点进行分子动力学模拟,可以直接获得焓的集合平均值。获得绝对熵仍是一个有待解决的问题,最常用的方法是通过路径来获得自由能变化,进而获得熵变化。20 年前,数学界首次提出 kth 近邻法(kNN)作为熵估算的通用方法。后来,它被用于计算分子的构象熵、位置取向熵和水合熵。目前已有基于 kNN 方法的从分子集合(例如从分子动力学(MD)轨迹)计算熵的程序。与传统方法相比,kNN 方法具有明显的优势,即它可以处理高维空间,而使用基于直方图等的方法则不可能在不损失分辨率或大幅逼近的情况下处理高维空间。应用该方法需要了解以下方面的特点:熵估算的第 k 次近邻法;与生物分子和一般分子过程相关的变量;与这些变量相关的度量;该方法的实际应用,包括该方法的内在要求和限制;以及构象熵、位置/方位熵和溶解熵的应用。将该方法与基于互信息的多变量熵的一般近似值相结合,可以解决高维问题,如涉及蛋白质、核酸、分子结合和水合的构象问题:
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引用次数: 0
Polaritonic response theory for exact and approximate wave functions 精确和近似波函数的极性响应理论
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-10-01 DOI: 10.1002/wcms.1684
Matteo Castagnola, Rosario Roberto Riso, Alberto Barlini, Enrico Ronca, Henrik Koch

Polaritonic chemistry is an interdisciplinary emerging field that presents several challenges and opportunities in chemistry, physics, and engineering. A systematic review of polaritonic response theory is presented, following a chemical perspective based on molecular response theory. We provide the reader with a general strategy for developing response theory for ab initio cavity quantum electrodynamics (QED) methods and critically emphasize details that still need clarification and require cooperation between the physical and chemistry communities. We show that several well-established results can be applied to strong coupling light-matter systems, leading to novel perspectives on the computation of matter and photonic properties. The application of the Pauli–Fierz Hamiltonian to polaritons is discussed, focusing on the effects of describing operators in different mathematical representations. We thoroughly examine the most common approximations employed in ab initio QED, such as the dipole approximation. We introduce the polaritonic response equations for the recently developed ab initio QED Hartree–Fock and QED coupled cluster methods. The discussion focuses on the similarities and differences from standard quantum chemistry methods, providing practical equations for computing the polaritonic properties.

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极性化学是一个跨学科的新兴领域,为化学、物理学和工程学带来了诸多挑战和机遇。本文从基于分子响应理论的化学视角出发,对极性响应理论进行了系统综述。我们为读者提供了为自证空穴量子电动力学(QED)方法开发响应理论的一般策略,并批判性地强调了仍需澄清并需要物理和化学界合作的细节。我们表明,一些成熟的结果可以应用于强耦合光-物质系统,从而为物质和光子特性的计算带来新的视角。我们讨论了将保利-费尔茨哈密顿应用于极化子的问题,重点是以不同数学表示法描述算子的效果。我们深入研究了 ab initio QED 中最常用的近似方法,如偶极子近似。我们介绍了最近开发的 ab initio QED 哈特里-福克和 QED 耦合簇方法的极化子响应方程。讨论的重点是与标准量子化学方法的异同,并提供计算极性的实用方程:
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引用次数: 0
Ring kinematics-informed conformation space exploration 基于环运动学的构象空间探索
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-09-26 DOI: 10.1002/wcms.1690
Nikolai V. Krivoshchapov, Michael G. Medvedev

Conformational searches and ML-driven geometry predictions (e.g., AlphaFold) work in the space of molecule's degrees of freedom. When dealing with cycles, cyclicity constraints impose complex interdependence between them, so that arbitrary changes of cyclic dihedral angles lead to heavy distortions of some bond lengths and valence angles of the ring. This renders navigation through conformational space of cyclic molecules to be very challenging. Inverse kinematics is a theory that provides a mathematically strict solution to this problem. It allows one to identify degrees of freedom for any polycyclic molecule, that is, its dihedral angles that can be set independently from each other. Then for any values of degrees of freedom, inverse kinematics can reconstruct the remaining dihedrals so that all rings are closed with given bond lengths and valence angles. This approach offers a handy and efficient way for constructing and navigating conformational space of any molecule using either naïve Monte-Carlo sampling or sophisticated machine learning models. Inverse kinematics can considerably narrow the conformational space of a polycyclic molecule to include only cyclicity-preserving regions. Thus, it can be viewed as a physical constraint on the model, making the latter obey the laws of kinematics, which govern the rings conformations. We believe that inverse kinematics will be universally used in the ever-growing field of geometry prediction of complex interlinked molecules.

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构象搜索和 ML 驱动的几何预测(如 AlphaFold)是在分子自由度空间中进行的。在处理循环时,循环约束在它们之间施加了复杂的相互依存关系,因此任意改变循环二面角会导致环的某些键长和价角发生严重扭曲。这使得在环状分子的构象空间中进行导航非常具有挑战性。逆运动学理论为这一问题提供了严格的数学解决方案。它允许我们确定任何多环分子的自由度,即可以独立设置的二面角。然后,对于任何自由度值,逆运动学都可以重建剩余的二面角,从而使所有环都以给定的键长和价角闭合。这种方法提供了一种方便、高效的方法,可以使用天真的蒙特卡洛采样或复杂的机器学习模型来构建和浏览任何分子的构象空间。逆运动学可以大大缩小多环分子的构象空间,使其只包括保留环性的区域。因此,它可以被视为对模型的一种物理约束,使后者遵守运动学定律,从而控制环的构象。我们相信,逆运动学将被广泛应用于日益增长的复杂互联分子几何预测领域:
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引用次数: 0
Computational biophysics meets cryo-EM revolution in the search for the functional dynamics of biomolecular systems 计算生物物理学与低温电子显微镜革命在探索生物分子系统功能动态中的结合
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-09-21 DOI: 10.1002/wcms.1689
Mauricio G. S. Costa, Mert Gur, James M. Krieger, Ivet Bahar

There is a variety of experimental and computational techniques available to explore protein dynamics, each presenting advantages and limitations. One promising experimental technique that is driving the development of computational methods is cryo-electron microscopy (cryo-EM). Cryo-EM provides molecular-level structural data and first estimates of conformational landscape from single particle analysis but cannot track real-time protein dynamics and may contain uncertainties in atomic positions especially at highly dynamic regions. Molecular simulations offer atomic-level insights into protein dynamics; however, their computing time requirements limit the conformational sampling accuracy, and it is often hard, to assess by full-atomic simulations the cooperative movements of biological interest for large assemblies such as those resolved by cryo-EM. Coarse-grained (CG) simulations permit us to explore such systems, but at the costs of lower resolution and potentially incomplete sampling of conformational space. On the other hand, analytical methods may circumvent sampling limitations. In particular, elastic network models-based normal mode analyses (ENM-NMA) provide unique solutions for the complete mode spectra near equilibrium states, even for systems of megadaltons, and may thus deliver information on mechanisms of motions relevant to biological function. Yet, they lack atomic resolution as well as temporal information for non-equilibrium systems. Given the complementary nature of these methods, the integration of molecular simulations and ENM-NMA into hybrid methodologies has gained traction. This review presents the current state-of-the-art in structure-based computations and how they are helping us gain a deeper understanding of biological mechanisms, with emphasis on the development of hybrid methods accompanying the advances in cryo-EM.

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目前有多种实验和计算技术可用于探索蛋白质动力学,每种技术都有其优势和局限性。低温电子显微镜(cryo-EM)是一种很有前途的实验技术,它推动了计算方法的发展。低温电子显微镜可提供分子水平的结构数据,并通过单颗粒分析对构象格局进行初步估计,但无法跟踪蛋白质的实时动态,而且可能包含原子位置的不确定性,尤其是在高动态区域。分子模拟可提供原子级的蛋白质动力学洞察力;然而,其计算时间要求限制了构象取样的准确性,而且通常很难通过全原子模拟来评估大型组装体(如低温电子显微镜解析的组装体)的生物协同运动。粗粒度(CG)模拟允许我们探索这类系统,但代价是较低的分辨率和可能不完整的构象空间采样。另一方面,分析方法可以规避取样限制。尤其是基于弹性网络模型的正态模式分析(ENM-NMA),它能为平衡态附近的完整模式谱提供独特的解决方案,即使是对于巨构体系也不例外,因此可以提供与生物功能相关的运动机制信息。然而,它们缺乏原子分辨率以及非平衡系统的时间信息。鉴于这些方法的互补性,将分子模拟和 ENM-NMA 集成到混合方法中的做法越来越受到重视。这篇综述介绍了当前基于结构的计算的最新进展,以及它们如何帮助我们更深入地了解生物机理,重点介绍了伴随低温电子显微镜的进步而发展起来的混合方法:
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引用次数: 0
Cover Image, Volume 13, Issue 5 封面图片,第13卷第5期
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-09-21 DOI: 10.1002/wcms.1688
Juan V. Alegre-Requena, Shree Sowndarya S. V., Raúl Pérez-Soto, Turki M. Alturaifi, Robert S. Paton

The cover image is based on the Software Focus AQME: Automated quantum mechanical environments for researchers and educators by Juan V. Alegre-Requena et al., https://doi.org/10.1002/wcms.1663.

封面图片基于Juan V.Alegre Requena等人的《软件焦点AQME:研究人员和教育工作者的自动化量子力学环境》。,https://doi.org/10.1002/wcms.1663.
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引用次数: 0
Ab initio electronic structure calculations based on numerical atomic orbitals: Basic fomalisms and recent progresses 基于数值原子轨道的 Ab initio 电子结构计算:基本反常现象和最新进展
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-09-12 DOI: 10.1002/wcms.1687
Peize Lin, Xinguo Ren, Xiaohui Liu, Lixin He

The numerical atomic orbital (NAO) basis sets offer a computationally efficient option for electronic structure calculations, as they require fewer basis functions compared with other types of basis sets. Moreover, their strict localization allows for easy combination with current linear scaling methods, enabling efficient calculation of large physical systems. In recent years, NAO bases have become increasingly popular in modern electronic structure codes. This article provides a review of the ab initio electronic structure calculations using NAO bases. We begin by introducing basic formalisms of the NAO-based electronic structure method, including NAO base set generation, self-consistent calculations, force, and stress calculations. We will then discuss some recent advances in the methods based on the NAO bases, such as real-time dependent density functional theory (rt-TDDFT), efficient implementation of hybrid functionals, and other advanced electronic structure methods. Finally, we introduce the ab initio tight-binding model, which can be generated directly after the self-consistent calculations. The model allows for efficient calculation of electronic structures, and the associated topological, and optical properties of the systems.

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与其他类型的基集相比,数值原子轨道(NAO)基集所需的基函数较少,因此为电子结构计算提供了一种计算高效的选择。此外,NAO 基集的严格局部性使其易于与当前的线性缩放方法相结合,从而实现大型物理系统的高效计算。近年来,NAO 基在现代电子结构代码中越来越受欢迎。本文回顾了使用NAO基进行的ab initio电子结构计算。首先,我们将介绍基于NAO的电子结构方法的基本形式,包括NAO基集生成、自洽性计算、力和应力计算。然后,我们将讨论基于NAO基的方法的一些最新进展,如实时相关密度泛函理论(rt-TDDFT)、混合函数的有效实施以及其他先进的电子结构方法。最后,我们将介绍可在自洽计算后直接生成的ab initio紧密结合模型。该模型可以高效计算电子结构以及系统的相关拓扑和光学特性:
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引用次数: 0
Understanding the prototype catalyst TiO2 surface with the help of density functional theory calculation 借助密度泛函理论计算了解原型催化剂 TiO2 表面
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-09-02 DOI: 10.1002/wcms.1686
Ruimin Wang, Binli Wang, Abubakar Sadiq Abdullahi, Hongjun Fan

Titanium dioxide (TiO2) is one of the most technologically promising oxides with a broad range of catalytic and photocatalytic activities. Theoretical modeling, especially density functional theory calculations, has been extensively carried out to understand the geometric structure, electronic structure, reactivity, and reaction mechanisms of TiO2 systems, as well as to develop new catalysts with improved performances. This review summarizes the recent theoretical progress on the well-defined surfaces of TiO2 crystalline, and focuses on the structures, adsorptions, and reactions on the surface and at the interface. The theoretical methods and models, surface defects, surface doping, water splitting and H2 evolution, methanol conversion, CO2 reduction and CO oxidation, SOx and NOx degradation, CH4 conversion, organic pollutant degradation, CH bond activation and CC bond formation, dye sensitization, as well as the applications of TiO2 in some other fields, have been discussed in detail.

This article is categorized under:

二氧化钛(TiO2)是最具技术前景的氧化物之一,具有广泛的催化和光催化活性。为了了解二氧化钛体系的几何结构、电子结构、反应活性和反应机理,以及开发性能更好的新型催化剂,人们广泛开展了理论建模,特别是密度泛函理论计算。本综述总结了最近在 TiO2 晶体的明确定义表面方面取得的理论进展,并重点讨论了表面和界面上的结构、吸附和反应。详细讨论了理论方法和模型、表面缺陷、表面掺杂、水分离和 H2 演化、甲醇转化、CO2 还原和 CO 氧化、SOx 和 NOx 降解、CH4 转化、有机污染物降解、CH 键活化和 CC 键形成、染料敏化以及 TiO2 在其他一些领域的应用:
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引用次数: 0
Rational drug design targeting intrinsically disordered proteins 针对内在无序蛋白质的合理药物设计
IF 11.4 2区 化学 Q1 Mathematics Pub Date : 2023-08-26 DOI: 10.1002/wcms.1685
Hanping Wang, Ruoyao Xiong, Luhua Lai

Intrinsically disordered proteins (IDPs) are proteins that perform important biological functions without well-defined structures under physiological conditions. IDPs can form fuzzy complexes with other molecules, participate in the formation of membraneless organelles, and function as hubs in protein–protein interaction networks. The malfunction of IDPs causes major human diseases. However, drug design targeting IDPs remains challenging due to their highly dynamic structures and fuzzy interactions. Turning IDPs into druggable targets provides a great opportunity to extend the druggable target-space for novel drug discovery. Integrative structural biology approaches that combine information derived from computational simulations, artificial intelligence/data-driven analysis and experimental studies have been used to uncover the dynamic structures and interactions of IDPs. An increasing number of ligands that directly bind IDPs have been found either by target-based experimental and computational screening or phenotypic screening. Along with the understanding of IDP binding with its partners, structure-based drug design strategies, especially conformational ensemble-based computational ligand screening and computer-aided ligand optimization algorithms, have greatly accelerated the development of IDP ligands. It is inspiring that several IDP-targeting small-molecule and peptide drugs have advanced into clinical trials. However, new computational methods need to be further developed for efficiently discovering and optimizing specific and potent ligands for the vast number of IDPs. Along with the understanding of their dynamic structures and interactions, IDPs are expected to become valuable treasure of drug targets.

This article is categorized under:

本质无序蛋白是指在生理条件下没有明确结构而发挥重要生物功能的蛋白质。IDP可以与其他分子形成模糊复合物,参与无膜细胞器的形成,并在蛋白质-蛋白质相互作用网络中发挥枢纽作用。国内流离失所者的机能失常导致了重大的人类疾病。然而,针对国内流离失所者的药物设计仍然具有挑战性,因为它们具有高度动态的结构和模糊的相互作用。将IDPs转化为可药用靶标为新药发现提供了扩展可药用靶标空间的大好机会。综合结构生物学方法结合了计算模拟、人工智能/数据驱动分析和实验研究中获得的信息,已被用于揭示国内流离失所者的动态结构和相互作用。通过基于靶点的实验和计算筛选或表型筛选,已经发现越来越多的直接结合IDPs的配体。随着对IDP与其伴侣结合的理解,基于结构的药物设计策略,特别是基于构象集成的计算配体筛选和计算机辅助配体优化算法,极大地加速了IDP配体的发展。令人鼓舞的是,一些针对小分子和肽的IDP药物已进入临床试验。然而,需要进一步开发新的计算方法,以有效地发现和优化大量IDP的特异性和有效配体。随着对其动态结构和相互作用的了解,国内流离失所者有望成为毒品目标的宝贵财富。本文分类如下:
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引用次数: 1
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Wiley Interdisciplinary Reviews: Computational Molecular Science
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