1. Generation of Helical States – Breaking of Symmetries, Curie's Principle, and Excited States**
- Author
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Sabalot-Cuzzubbo, Julia, Lafargue-Dit-Hauret, W, Rérat, Michel, Costuas, K, Bégué, Didier, Cresson, Jacky, Institut des sciences analytiques et de physico-chimie pour l'environnement et les materiaux (IPREM), Université de Pau et des Pays de l'Adour (UPPA)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS), Université de Pau et des Pays de l'Adour (UPPA), Institut des Sciences Chimiques de Rennes (ISCR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Ecole Nationale Supérieure de Chimie de Rennes (ENSCR)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), and The project leading to this publication has received funding from Excellence Initiative of Université de Pau et des Pays de l’Adour- I-Site E2S UPPA, a French 'Investissement d’Avenir' program. This article was also supported by the Défi CNRS 'Biomimétisme' in collaboration with the Université Claude Bernard Lyon 1 and Université de Lyon.
- Subjects
Linear Chains ,Curie’s Principle ,Mathematical ,[CHIM]Chemical Sciences ,Chirality ,Physical and Theoretical Chemistry ,Atomic and Molecular Physics, and Optics ,Helical Orbitals - Abstract
International audience; Herein, we deeply detail for the very first time mathematical con- cepts behind the generation of helical molecular orbitals (MOs) for linear chains of atoms. We first give a definition of helical MOs and we provide an index measuring how far a given helical states is from a perfect helical distribution. Structural properties of heli- cal distribution for twisted [N]-cumulene and cumulene version of Möbius systems are given. We then give some simple structural assumptions as well as symmetry requirements ensuring the exis- tence of helical MOs. Considering molecules which do not admit helical MOs, we provide a first way to induce helical states by the breaking of symmetries. We also explore an alternative way us- ing excited conformations of given molecules as well as different electronic multiplicities.
- Published
- 2023
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