1
|
Bofill JM, Severi M, Quapp W, Ribas-Ariño J, de P R Moreira I, Albareda G. Optimal Oriented External Electric Fields to Trigger a Barrierless Oxaphosphetane Ring Opening Step of the Wittig Reaction. Chemistry 2024; 30:e202400173. [PMID: 38457260 DOI: 10.1002/chem.202400173] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/15/2024] [Revised: 03/05/2024] [Accepted: 03/07/2024] [Indexed: 03/10/2024]
Abstract
The Wittig reaction is one of the most important processes in organic chemistry for the asymmetric synthesis of olefinic compounds. In view of the increasingly acknowledged potentiality of the electric fields in promoting reactions, here we will consider the effect of the oriented external electric field (OEEF) on the second step of Wittig reaction (i. e. the ring opening oxaphosphetane) in a model system for non-stabilized ylides. In particular, we have determined the optimal direction and strength of the electric field that should be applied to annihilate the reaction barrier of the ring opening through the polarizable molecular electric dipole (PMED) model that we have recently developed. We conclude that the application of the optimal external electric field for the oxaphosphetane ring opening favours a Bestmann-like mechanism.
Collapse
Affiliation(s)
- Josep Maria Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, C/Martí i Franquès 1, 08028, Barcelona, Spain
- Institut de Química Teòrica i Computacional (IQTCUB), Universitat de Barcelona, C/Martí i Franquès 1, 08028, Barcelona, Spain
| | - Marco Severi
- Department of Chemistry G. Ciamician, University of Bologna, Via F. Selmi 2, 40126, Bologna, Italy
| | - Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig, PF 100920, D-04009, Leipzig, Germany
| | - Jordi Ribas-Ariño
- Institut de Química Teòrica i Computacional (IQTCUB), Universitat de Barcelona, C/Martí i Franquès 1, 08028, Barcelona, Spain
- Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona, C/Martí i Franquès 1, 08028, Barcelona, Spain
| | - Ibério de P R Moreira
- Institut de Química Teòrica i Computacional (IQTCUB), Universitat de Barcelona, C/Martí i Franquès 1, 08028, Barcelona, Spain
- Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona, C/Martí i Franquès 1, 08028, Barcelona, Spain
| | | |
Collapse
|
2
|
Quapp W, Bofill JM. Theory and Examples of Catch Bonds. J Phys Chem B 2024; 128:4097-4110. [PMID: 38634732 DOI: 10.1021/acs.jpcb.4c00468] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/19/2024]
Abstract
We discuss slip bonds, catch bonds, and the tug-of-war mechanism using mathematical arguments. The aim is to explain the theoretical tool of molecular potential energy surfaces (PESs). For this, we propose simple 2-dimensional surface models to demonstrate how a molecule under an external force behaves. Examples are selectins. Catch bonds, in particular, are explained in more detail, and they are contrasted to slip bonds. We can support special two-dimensional molecular PESs for E- and L-selectin which allow the catch bond property. We demonstrate that Newton trajectories (NT) are powerful tools to describe these phenomena. NTs form the theoretical background of mechanochemistry.
Collapse
Affiliation(s)
- Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig, PF 100920, Leipzig D-04009, Germany
| | - Josep Maria Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, Martí i Franquès 1, Barcelona 08028, Spain
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, Barcelona 08028, Spain
| |
Collapse
|
3
|
Georgiou A, Vandecasteele H, Bello-Rivas JM, Kevrekidis I. Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds. CHAOS (WOODBURY, N.Y.) 2023; 33:123108. [PMID: 38048255 PMCID: PMC10697725 DOI: 10.1063/5.0178947] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/28/2023] [Accepted: 11/01/2023] [Indexed: 12/06/2023]
Abstract
Steady states are invaluable in the study of dynamical systems. High-dimensional dynamical systems, due to separation of time scales, often evolve toward a lower dimensional manifold M. We introduce an approach to locate saddle points (and other fixed points) that utilizes gradient extremals on such a priori unknown (Riemannian) manifolds, defined by adaptively sampled point clouds, with local coordinates discovered on-the-fly through manifold learning. The technique, which efficiently biases the dynamical system along a curve (as opposed to exhaustively exploring the state space), requires knowledge of a single minimum and the ability to sample around an arbitrary point. We demonstrate the effectiveness of the technique on the Müller-Brown potential mapped onto an unknown surface (namely, a sphere). Previous work employed a similar algorithmic framework to find saddle points using Newton trajectories and gentlest ascent dynamics; we, therefore, also offer a brief comparison with these methods.
Collapse
Affiliation(s)
- A. Georgiou
- Department of Chemical and Biomolecular Engineering, Johns Hopkins University, Baltimore, Maryland 21218, USA
| | | | - J. M. Bello-Rivas
- Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, Maryland 21218, USA
| | | |
Collapse
|
4
|
Bofill JM, Severi M, Quapp W, Ribas-Ariño J, Moreira IDPR, Albareda G. An algorithm to find the optimal oriented external electrostatic field for annihilating a reaction barrier in a polarizable molecular system. J Chem Phys 2023; 159:114112. [PMID: 37724726 DOI: 10.1063/5.0167749] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2023] [Accepted: 08/23/2023] [Indexed: 09/21/2023] Open
Abstract
The use of oriented external electric fields (OEEFs) to promote and control chemical reactivity has motivated many theoretical and computational studies in the last decade to model the action of OEEFs on a molecular system and its effects on chemical processes. Given a reaction, a central goal in this research area is to predict the optimal OEEF (oOEEF) required to annihilate the reaction energy barrier with the smallest possible field strength. Here, we present a model rooted in catastrophe and optimum control theories that allows us to find the oOEEF for a given reaction valley in the potential energy surface (PES). In this model, the effective (or perturbed) PES of a polarizable molecular system is constructed by adding to the original, non-perturbed, PES a term accounting for the interaction of the OEEF with the intrinsic electric dipole and polarizability of the molecular system, so called the polarizable molecular electric dipole (PMED) model. We demonstrate that the oOEEF can be established by locating a point in the original PES with unique topological properties: the optimal barrier breakdown or bond-breaking point (oBBP). The essential feature of the oBBP structure is the fact that this point maintains its topological properties for all the applied OEEFs, also for the unperturbed PES, thus becoming much more relevant than the commonly used minima and transition state structures. The PMED model proposed here has been implemented in an open access package and is shown to successfully predict the oOEEF for two processes: an isomerization reaction of a cumulene derivative and the Huisgen cycloaddition reaction.
Collapse
Affiliation(s)
- Josep Maria Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Marco Severi
- Department of Chemistry G. Ciamician, University of Bologna, Via F. Selmi 2, 40126 Bologna, Italy
| | - Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig, PF 100920, D-04009 Leipzig, Germany
| | - Jordi Ribas-Ariño
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
- Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Ibério de P R Moreira
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
- Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Guillermo Albareda
- Ideaded, Carrer de la Tecnologia, 35, 08840 Viladecans, Barcelona, Spain
| |
Collapse
|
5
|
A catastrophe theory-based model for optimal control of chemical reactions by means of oriented electric fields. Theor Chem Acc 2023. [DOI: 10.1007/s00214-023-02959-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/10/2023]
Abstract
AbstractThe effect of oriented external electric fields (OEEF) on chemical reactivity has been studied theoretically and computationally in the last decades. A central goal in this research area is to predict the orientation and the smallest amplitude electric field that renders a barrierless chemical process with the smallest possible strength. Recently, a model to find the optimal electric field has been proposed and described (Bofill JM et al., J. Chem. Theory Comput. 18:935, 2022). We here proof that this model is based on catastrophe and optimum control theories. Based on both theories a technical treatment of the model is given and applied to a two-dimensional generic example that provides insight into its nature and capability. Finally, the model is applied to determine the optimal OEEF for the trans-to-cis isomerization of a [3]cumulene derivative.
Collapse
|
6
|
Bofill JM, Quapp W, Albareda G, Moreira IDPR, Ribas-Ariño J. Controlling Chemical Reactivity with Optimally Oriented Electric Fields: A Generalization of the Newton Trajectory Method. J Chem Theory Comput 2022; 18:935-952. [PMID: 35044173 DOI: 10.1021/acs.jctc.1c00943] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The use of oriented external electric fields (OEEF) as a tool to accelerate chemical reactions has recently attracted much interest. A new model to calculate the optimal OEEF of the least intensity to induce a barrierless chemical reaction path is presented. A suitable ansatz is provided by defining an effective potential energy surface (PES), which considers the unperturbed or original PES of the molecular reactive system and the action of a constant OEEF on the overall dipole moment of system. Based on a generalization of the Newton Trajectories (NT) method, it is demonstrated that the optimal OEEF can be determined upon locating a special point of the potential energy surface (PES), the so-called "optimal bond-breaking point" (optimal BBP), for which two different algorithms are proposed. At this point, the gradient of the original or unperturbed PES is an eigenvector of zero eigenvalue of the Hessian matrix of the effective PES. A thorough discussion of the geometrical aspects of the optimal BBP and the optimal OEEF is provided using a two-dimensional model, and numerical calculations of the optimal OEEF for a SN2 reaction and the 1,3-dipolar retrocycloaddition of isoxazole to fulminic acid plus acetylene reaction serve as a proof of concept. The knowledge of the orientation of optimal OEEF provides a practical way to reduce the effective barrier of a given chemical process.
Collapse
Affiliation(s)
- Josep Maria Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.,Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig, PF 100920, D-04009 Leipzig, Germany
| | - Guillermo Albareda
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.,Max Planck Institute for the Structure and Dynamics of Matter and Center for Free Electron Laser Science, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Ibério de P R Moreira
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.,Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Jordi Ribas-Ariño
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.,Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| |
Collapse
|
7
|
Bofill JM, Valero R, Ribas-Ariño J, Quapp W. Barnes Update Applied in the Gauss-Newton Method: An Improved Algorithm to Locate Bond Breaking Points. J Chem Theory Comput 2021; 17:996-1007. [PMID: 33464895 DOI: 10.1021/acs.jctc.0c00910] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Abstract
A mechanochemical reaction is a reaction induced by mechanical energy. A general accepted model for this type of reaction consists of a first-order perturbation on the associated potential energy surface (PES) of the unperturbed molecular system due to mechanical stress or pulling force. Within this theoretical framework, the so-called optimal barrier breakdown points or optimal bond breaking points (BBPs) are critical points of the unperturbed PES where the Hessian matrix has a zero eigenvector that coincides with the gradient vector. Optimal BBPs are "catastrophe points" that are particularly important because their associated gradient indicates how to optimally harness tensile forces to induce reactions by transforming a chemical reaction into a barrierless process. Building on a previous method based on a nonlinear least-squares minimization to locate BBPs (Bofill et al., J. Chem. Phys. 2017, 147, 152710-10), we propose a new algorithm to locate BBPs of any molecular system based on the Gauss-Newton method combined with the Barnes update for a nonsymmetric Jacobian matrix, which is shown to be more appropriate than the Broyden update. The efficiency of the new method is demonstrated for a multidimensional model PES and two medium size molecular systems of interest in enzymatic catalysis and mechanochemistry.
Collapse
Affiliation(s)
- Josep Maria Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.,Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Rosendo Valero
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.,Departament de Ciència de Materials i Química Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Jordi Ribas-Ariño
- Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.,Departament de Ciència de Materials i Química Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
| | - Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig, PF 100920, D-04009 Leipzig, Germany
| |
Collapse
|
8
|
Quapp W, Bofill JM. Some Mathematical Reasoning on the Artificial Force Induced Reaction Method. J Comput Chem 2020; 41:629-634. [PMID: 31792984 DOI: 10.1002/jcc.26115] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2019] [Revised: 11/01/2019] [Accepted: 11/04/2019] [Indexed: 11/07/2022]
Abstract
There are works of the Maeda-Morokuma group, which propose the artificial force induced reaction (AFIR) method (Maeda et al., J. Comput. Chem. 2014, 35, 166 and 2018, 39, 233). We study this important method from a theoretical point of view. The understanding of the proposers does not use the barrier breakdown point of the AFIR parameter, which usually is half of the reaction path between the minimum and the transition state which is searched for. Based on a comparison with the theory of Newton trajectories, we could better understand the method. It allows us to follow along some reaction pathways from minimum to saddle point, or vice versa. We discuss some well-known two-dimensional test surfaces where we calculate full AFIR pathways. If one has special AFIR curves at hand, one can also study the behavior of the ansatz. © 2019 The Authors. Journal of Computational Chemistry published by Wiley Periodicals, Inc.
Collapse
Affiliation(s)
- Wolfgang Quapp
- Leipzig University, Mathematisches Institut, Universität Leipzig, PF 100920, D-04009, Leipzig, Germany
| | - Josep Maria Bofill
- Universitat de Barcelona, Departament de Química Inorgànica i Orgànica, Universitat de Barcelona, and Institut de Química Teòrica i Computacional, Universitat de Barcelona, (IQTCUB), Martí i Franquès, 1, 08028, Barcelona, Spain
| |
Collapse
|
9
|
Quapp W, Bofill JM. Comment on "Exploring Potential Energy Surface with External Forces". J Chem Theory Comput 2020; 16:811-815. [PMID: 31725299 DOI: 10.1021/acs.jctc.9b00736] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Recently, a work (Wolinski, K., J. Chem. Theory Comput. 2018, 14, 6306, 10.1021/acs.jctc.8b00885 ) was published in which the SEGO method (standard and enforced geometry optimization) was proposed to find new minimums on potential energy surfaces. We study this important method from a theoretical point of view. Up to now, the understanding of the proposer does not take into account the barrier breakdown point on a SEGO path being usually half of the path, which is searched for. However, a better understanding of the method allows us to follow along the reaction pathway from a minimum to a saddle point or vice versa. We discuss the well-known two-dimensional MB test surface where we calculate full SEGO pathways. If one has special SEGO curves at hand, one can also detect some weaknesses of the ansatz.
Collapse
Affiliation(s)
- Wolfgang Quapp
- Mathematisches Institut , Universität Leipzig , PF 100920, D-04009 Leipzig , Germany
| | - Josep Maria Bofill
- Departament de Química Inorgánica i Orgánica, Institut de Química Teòrica i Computacional (IQTCUB) , Universitat de Barcelona , Martí i Franquès, 1, 08028 Barcelona , Spain
| |
Collapse
|
10
|
Bofill JM, Quapp W. Calculus of variations as a basic tool for modelling of reaction paths and localisation of stationary points on potential energy surfaces. Mol Phys 2019. [DOI: 10.1080/00268976.2019.1667035] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Josep Maria Bofill
- Institut de Química Teòrica i Computacional (IQTCUB), and Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, Martí i Franquès, Barcelona, Spain
| | - Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig, Leipzig, Germany
| |
Collapse
|
11
|
Affiliation(s)
- W. Quapp
- Mathematisches Institut, Universität Leipzig, Leipzig, Germany
| | - J. M. Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, and Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Barcelona, Spain
| |
Collapse
|
12
|
Bofill JM, Ribas-Ariño J, García SP, Quapp W. An algorithm to locate optimal bond breaking points on a potential energy surface for applications in mechanochemistry and catalysis. J Chem Phys 2017; 147:152710. [PMID: 29055306 DOI: 10.1063/1.4994925] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
Abstract
The reaction path of a mechanically induced chemical transformation changes under stress. It is well established that the force-induced structural changes of minima and saddle points, i.e., the movement of the stationary points on the original or stress-free potential energy surface, can be described by a Newton Trajectory (NT). Given a reactive molecular system, a well-fitted pulling direction, and a sufficiently large value of the force, the minimum configuration of the reactant and the saddle point configuration of a transition state collapse at a point on the corresponding NT trajectory. This point is called barrier breakdown point or bond breaking point (BBP). The Hessian matrix at the BBP has a zero eigenvector which coincides with the gradient. It indicates which force (both in magnitude and direction) should be applied to the system to induce the reaction in a barrierless process. Within the manifold of BBPs, there exist optimal BBPs which indicate what is the optimal pulling direction and what is the minimal magnitude of the force to be applied for a given mechanochemical transformation. Since these special points are very important in the context of mechanochemistry and catalysis, it is crucial to develop efficient algorithms for their location. Here, we propose a Gauss-Newton algorithm that is based on the minimization of a positively defined function (the so-called σ-function). The behavior and efficiency of the new algorithm are shown for 2D test functions and for a real chemical example.
Collapse
Affiliation(s)
- Josep Maria Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, and Institut de Química Teòrica i Computacional, Universitat de Barcelona (IQTCUB), Barcelona, Spain
| | - Jordi Ribas-Ariño
- Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona and Institut de Química Teòrica i Computacional, Universitat de Barcelona (IQTCUB), Barcelona, Spain
| | - Sergio Pablo García
- Departament de Ciència de Materials i Química Física, Secció de Química Física, Universitat de Barcelona and Institut de Química Teòrica i Computacional, Universitat de Barcelona (IQTCUB), Barcelona, Spain
| | - Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig, PF 100920, D-04009 Leipzig, Germany
| |
Collapse
|
13
|
Quapp W, Bofill JM, Ribas-Ariño J. Analysis of the Acting Forces in a Theory of Catalysis and Mechanochemistry. J Phys Chem A 2017; 121:2820-2838. [PMID: 28338327 DOI: 10.1021/acs.jpca.7b00022] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The theoretical description of a chemical process resulting from the application of mechanical or catalytical stress to a molecule is performed by the generation of an effective potential energy surface (PES). Changes for minima and saddle points by the stress are described by Newton trajectories (NTs) on the original PES. From the analysis of the acting forces we postulate the existence of pulling corridors built by families of NTs that connect the same stationary points. For different exit saddles of different height we discuss the corresponding pulling corridors; mainly by simple two-dimensional surface models. If there are different exit saddles then there can exist saddles of index two, at least, between. Then the case that a full pulling corridor crosses a saddle of index two is the normal case. It leads to an intrinsic hysteresis of such pullings for the forward or the backward reaction. Assuming such relations we can explain some results in the literature. A new finding is the existence of roundabout corridors that can switch between different saddle points by a reversion of the direction. The findings concern the mechanochemistry of molecular systems under a mechanical load as well as the electrostatic force and can be extended to catalytic and enzymatic accelerated reactions. The basic and ground ansatz includes both kinds of forces in a natural way without an extra modification.
Collapse
Affiliation(s)
- Wolfgang Quapp
- Mathematisches Institut, Universität Leipzig , PF 100920, D-04009 Leipzig, Germany
| | | | | |
Collapse
|
14
|
Stauch T, Dreuw A. Advances in Quantum Mechanochemistry: Electronic Structure Methods and Force Analysis. Chem Rev 2016; 116:14137-14180. [PMID: 27767298 DOI: 10.1021/acs.chemrev.6b00458] [Citation(s) in RCA: 97] [Impact Index Per Article: 12.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
In quantum mechanochemistry, quantum chemical methods are used to describe molecules under the influence of an external force. The calculation of geometries, energies, transition states, reaction rates, and spectroscopic properties of molecules on the force-modified potential energy surfaces is the key to gain an in-depth understanding of mechanochemical processes at the molecular level. In this review, we present recent advances in the field of quantum mechanochemistry and introduce the quantum chemical methods used to calculate the properties of molecules under an external force. We place special emphasis on quantum chemical force analysis tools, which can be used to identify the mechanochemically relevant degrees of freedom in a deformed molecule, and spotlight selected applications of quantum mechanochemical methods to point out their synergistic relationship with experiments.
Collapse
Affiliation(s)
- Tim Stauch
- Interdisciplinary Center for Scientific Computing , Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing , Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
| |
Collapse
|
15
|
Quapp W, Bofill JM. Reaction rates in a theory of mechanochemical pathways. J Comput Chem 2016; 37:2467-78. [DOI: 10.1002/jcc.24470] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/06/2016] [Revised: 06/21/2016] [Accepted: 07/25/2016] [Indexed: 01/13/2023]
Affiliation(s)
- Wolfgang Quapp
- Department of Mathematics; University Leipzig; PF 100920 Leipzig D-04009 Germany
| | - Josep Maria Bofill
- Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica; Universitat de Barcelona; and Institut de Química Teòrica i Computacional, Universitat de Barcelona, (IQTCUB); Martí i Franquès, 1 Barcelona 08028 Spain
| |
Collapse
|