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.
This article is categorized under:
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:
{"title":"Polaritonic response theory for exact and approximate wave functions","authors":"Matteo Castagnola, Rosario Roberto Riso, Alberto Barlini, Enrico Ronca, Henrik Koch","doi":"10.1002/wcms.1684","DOIUrl":"10.1002/wcms.1684","url":null,"abstract":"<p><i>Polaritonic chemistry</i> 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 <i>ab initio</i> 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 <i>ab initio</i> QED, such as the dipole approximation. We introduce the polaritonic response equations for the recently developed <i>ab initio</i> 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.</p><p>This article is categorized under:\u0000 </p>","PeriodicalId":236,"journal":{"name":"Wiley Interdisciplinary Reviews: Computational Molecular Science","volume":"14 1","pages":""},"PeriodicalIF":11.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/wcms.1684","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135458261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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.
This article is categorized under:
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:
{"title":"Ring kinematics-informed conformation space exploration","authors":"Nikolai V. Krivoshchapov, Michael G. Medvedev","doi":"10.1002/wcms.1690","DOIUrl":"10.1002/wcms.1690","url":null,"abstract":"<p>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.</p><p>This article is categorized under:\u0000 </p>","PeriodicalId":236,"journal":{"name":"Wiley Interdisciplinary Reviews: Computational Molecular Science","volume":"14 1","pages":""},"PeriodicalIF":11.4,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134885941","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}
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.
{"title":"Computational biophysics meets cryo-EM revolution in the search for the functional dynamics of biomolecular systems","authors":"Mauricio G. S. Costa, Mert Gur, James M. Krieger, Ivet Bahar","doi":"10.1002/wcms.1689","DOIUrl":"10.1002/wcms.1689","url":null,"abstract":"<p>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.</p><p>This article is categorized under:\u0000 </p>","PeriodicalId":236,"journal":{"name":"Wiley Interdisciplinary Reviews: Computational Molecular Science","volume":"14 1","pages":""},"PeriodicalIF":11.4,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/wcms.1689","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136129851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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.