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Hydrogen‐Bond Cooperative Effects in Small Cyclic Water Clusters as Revealed by the Interacting Quantum Atoms Approach
Authors:José Manuel Guevara‐Vela  Rodrigo Chávez‐Calvillo  Prof Dr Marco García‐Revilla  Prof Dr Jesús Hernández‐Trujillo  Prof Dr Ove Christiansen  Prof Dr Evelio Francisco  Prof Dr Ángel Martín Pendás  Prof Dr Tomás Rocha‐Rinza
Institution:1. Instituto de Química, UNAM, Circuito Exterior, Ciudad Universitaria, Delegación Coyoacán C.P. 04510, Mexico City (Mexico), Fax: (+52)?555‐616‐2217;2. Present address: Institut de Ciencia Molecular, Parc Científic, Universitat de València, Catedrático José Beltrán, 2. 46980 València (Spain);3. Departamento de Física y Química Teórica, Facultad de Química, UNAM, México D.F. 04510, Mexico City (Mexico);4. Departamento de Química, División de Ciencias Naturales y Exactas, Universidad de Guanajuato, 36050, Guanajuato, Guanajuato (Mexico);5. Center for Oxygen Microscopy and Imaging, Department of Chemistry, University of Aarhus, Langelandsgade 140, 8000, ?rhus C (Denmark);6. Departamento de Química Física y Analítica, Universidad de Oviedo, 33006 Oviedo (Spain)
Abstract:The cooperative effects of hydrogen bonding in small water clusters (H2O)n (n=3–6) have been studied by using the partition of the electronic energy in accordance with the interacting quantum atoms (IQA) approach. The IQA energy splitting is complemented by a topological analysis of the electron density (ρ( r )) compliant with the quantum theory of atoms‐in‐molecules (QTAIM) and the calculation of electrostatic interactions by using one‐ and two‐electron integrals, thereby avoiding convergence issues inherent to a multipolar expansion. The results show that the cooperative effects of hydrogen bonding in small water clusters arise from a compromise between: 1) the deformation energy (i.e., the energy necessary to modify the electron density and the configuration of the nuclei of the isolated water molecules to those within the water clusters), and 2) the interaction energy (Eint) of these contorted molecules in (H2O)n. Whereas the magnitude of both deformation and interaction energies is enhanced as water molecules are added to the system, the augmentation of the latter becomes dominant when the size of the cluster is increased. In addition, the electrostatic, classic, and exchange components of Eint for a pair of water molecules in the cluster (H2O)n?1 become more attractive when a new H2O unit is incorporated to generate the system (H2O)n with the last‐mentioned contribution being consistently the most important part of Eint throughout the hydrogen bonds under consideration. This is opposed to the traditional view, which regards hydrogen bonding in water as an electrostatically driven interaction. Overall, the trends of the delocalization indices, δ(Ω,Ω′), the QTAIM atomic charges, the topology of ρ( r ), and the IQA results altogether show how polarization, charge transfer, electrostatics, and covalency contribute to the cooperative effects of hydrogen bonding in small water clusters. It is our hope that the analysis presented in this paper could offer insight into the different intra‐ and intermolecular interactions present in hydrogen‐bonded systems.
Keywords:cooperative effects  electrostatic interactions  exchange interactions  hydrogen bonds  quantum atoms
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