Hydrogen–hydrogen bonding: The current density perspective

Current density plots of closed‐shell intermolecular HH interactions characterized by a bond critical point (BCP) show two vortices separated by a saddle, a pattern which allows for a clear definition of a pair current strength. This HH current strength turns out to be roughly related to the potential energy density at the BCP and then to the dissociation energy. The same pattern is also recognizable, at least for an azimuthal orientation of a field perpendicular to the HH line, for the intramolecular interactions previously investigated to propose the HH bonding. In the case of the H atoms of the bay region of polycyclic aromatic hydrocarbons, the current of the HH delocalized diatropic vortex gives a quantitative indication of stabilization; however, on rotation of the field and the subsequent onset of a bay‐delocalized paratropic vortex (a typical signature of antiaromaticity), the diatropic vortex can be reshaped or it can even disappear, consistently with its smallness, and thus showing the effect of other more relevant interactions. © 2015 Wiley Periodicals, Inc.

[1]  T. Heine,et al.  The induced magnetic field. , 2012, Accounts of chemical research.

[2]  R. Hancock,et al.  Do nonbonded H--H interactions in phenanthrene stabilize it relative to anthracene? A possible resolution to this question and its implications for ligands such as 2,2'-bipyridyl. , 2012, The journal of physical chemistry. A.

[3]  R. Havenith,et al.  Current density, chemical shifts and aromaticity , 2004, Magnetic resonance in chemistry : MRC.

[4]  S. J. Grabowski Ab initio and AIM studies on measures of hydrogen bonding strength—R–CN⋯HF and R–CN⋯HCl complexes , 2002 .

[5]  R. Zanasi,et al.  Assessment of ring current models for monocycles. , 2014, The journal of physical chemistry. A.

[6]  R. Parthasarathi,et al.  Hydrogen bonding without borders: an atoms-in-molecules perspective. , 2006, The journal of physical chemistry. A.

[7]  Paul L. A. Popelier,et al.  Geometrically faithful homeomorphisms between the electron density and the bare nuclear potential , 2009 .

[8]  R. Zanasi,et al.  Quantitative Indicators of Bond Current Susceptibility , 2009 .

[9]  Massimo Malagoli,et al.  On CHF calculations of second-order magnetic properties using the method of continuous transformation of origin of the current density , 1994 .

[10]  P. Lazzeretti,et al.  Relative Weights of σ and π Ring Currents in a Few Simple Monocycles. , 2010, Journal of Chemical Theory and Computation.

[11]  M. Spackman Hydrogen bond energetics from topological analysis of experimental electron densities: Recognising the importance of the promolecule , 1999 .

[12]  S. Grimme,et al.  When do interacting atoms form a chemical bond? Spectroscopic measurements and theoretical analyses of dideuteriophenanthrene. , 2009, Angewandte Chemie.

[13]  M. Malagoli,et al.  Computational approach to molecular magnetic properties by continuous transformation of the origin of the current density , 1994 .

[14]  David J. Tozer,et al.  Hybrid exchange-correlation functional determined from thermochemical data and ab initio potentials , 2001 .

[15]  S. J. Grabowski Ab Initio Calculations on Conventional and Unconventional Hydrogen BondsStudy of the Hydrogen Bond Strength , 2001 .

[16]  Shant Shahbazian,et al.  Toward a consistent interpretation of the QTAIM: tortuous link between chemical bonds, interactions, and bond/line paths. , 2014, Chemistry.

[17]  P. Fowler,et al.  Ipsocentric ring currents in density functional theory , 2007 .

[18]  M. Pecul,et al.  Benchmark calculations of the shielding constants in the water dimer , 2001 .

[19]  Chérif F Matta,et al.  Hydrogen-hydrogen bonding: a stabilizing interaction in molecules and crystals. , 2003, Chemistry.

[20]  R. Bader,et al.  Structural homeomorphism between the electron density and the virial field , 1996 .

[21]  Mario Raimondi,et al.  Modification of the Roothaan equations to exclude BSSE from molecular interaction calculations , 1996 .

[22]  D. Sundholm,et al.  Aromatic pathways in twisted hexaphyrins. , 2010, The journal of physical chemistry. A.

[23]  J. Hernández‐Trujillo,et al.  The Ehrenfest force field: Topology and consequences for the definition of an atom in a molecule. , 2012, The Journal of chemical physics.

[24]  T. Berlin Binding Regions in Diatomic Molecules , 1951 .

[25]  Paul L. A. Popelier,et al.  Atoms in molecules , 2000 .

[26]  D. Sundholm,et al.  The gauge including magnetically induced current method. , 2011, Physical chemistry chemical physics : PCCP.

[27]  J. Gauss,et al.  Calculation of spin-current densities using gauge-including atomic orbitals , 2004 .

[28]  P. Lazzeretti,et al.  Delocalized currents without a ring of bonded atoms: strong delocalized electron currents induced by magnetic fields in noncyclic molecules. , 2014, The journal of physical chemistry. A.

[29]  X. Fradera,et al.  On the electron-pair nature of the hydrogen bond in the framework of the atoms in molecules theory , 2003 .

[30]  L. Farrugia,et al.  The QTAIM approach to chemical bonding between transition metals and carbocyclic rings: a combined experimental and theoretical study of (eta(5)-C5H5)Mn(CO)3, (eta(6)-C6H6)Cr(CO)3, and (E)-{(eta(5)-C5H4)CF=CF(eta(5)-C5H4)}(eta(5)-C5H5)2Fe2. , 2009, Journal of the American Chemical Society.

[31]  Ł M Mentel,et al.  Can the Counterpoise Correction for Basis Set Superposition Effect Be Justified? , 2014, Journal of chemical theory and computation.

[32]  Á. M. Pendás,et al.  Bond paths as privileged exchange channels. , 2007, Chemistry.

[33]  Paul L. A. Popelier,et al.  Atoms in Molecules: An Introduction , 2000 .

[34]  P. Fowler,et al.  Comparison of ring currents evaluated consistently at density functional and Hartree–Fock levels , 2009 .

[35]  Yuan JiaYong,et al.  Theoretical Study on Measure of Hydrogen Bonding Strength: RCN…pyrrole Complexes , 2005 .

[36]  Uwe Koch,et al.  CHARACTERIZATION OF C-H-O HYDROGEN-BONDS ON THE BASIS OF THE CHARGE-DENSITY , 1995 .

[37]  C. Lecomte,et al.  Topological analysis of hydrogen bonds and weak interactions in protein helices via transferred experimental charge density parameters. , 2011, The journal of physical chemistry. A.

[38]  B. Champagne,et al.  Ring Current Model and Anisotropic Magnetic Response of Cyclopropane. , 2010, Journal of chemical theory and computation.

[39]  Todd A. Keith,et al.  Calculation of magnetic response properties using a continuous set of gauge transformations , 1993 .

[40]  Paul von Ragué Schleyer,et al.  Bay‐type H···H “bonding” in cis‐2‐butene and related species: QTAIM versus NBO description , 2014, J. Comput. Chem..

[41]  Philip Ball,et al.  Beyond the bond , 2011, Nature.

[42]  E. Francisco,et al.  Interacting Quantum Atoms:  A Correlated Energy Decomposition Scheme Based on the Quantum Theory of Atoms in Molecules. , 2005, Journal of chemical theory and computation.

[43]  A. Bondi van der Waals Volumes and Radii , 1964 .

[44]  Shih-Wei Chao,et al.  Molecular dynamics simulations of fluid methane properties using ab initio intermolecular interaction potentials , 2009, J. Comput. Chem..

[45]  P. Popelier The QTAIM Perspective of Chemical Bonding , 2014 .

[46]  P. Lazzeretti,et al.  Topology of magnetic-field-induced current-density field in diatropic monocyclic molecules , 2006 .

[47]  P. Popelier,et al.  Domain-averaged exchange-correlation energies as a physical underpinning for chemical graphs. , 2013, Chemphyschem : a European journal of chemical physics and physical chemistry.

[48]  Christian Van Alsenoy,et al.  Hydrogen–hydrogen interaction in planar biphenyl: A theoretical study based on the interacting quantum atoms and Hirshfeld atomic energy partitioning methods , 2014, J. Comput. Chem..

[49]  D. Jerina,et al.  Carcinogenicity of Polycyclic Aromatic Hydrocarbons: The Bay-Region Theory , 1980 .

[50]  R. Zanasi,et al.  Anionic derivatives of altan‐corannulene , 2013 .

[51]  Chérif F. Matta,et al.  The Quantum theory of atoms in molecules : from solid state to DNA and drug design , 2007 .

[52]  P. Polestshuk,et al.  Forced bonding and QTAIM deficiencies: a case study of the nature of interactions in He@adamantane and the origin of the high metastability. , 2013, Chemistry.

[53]  Wim Klopper,et al.  Magnetically induced current densities in aromatic, antiaromatic, homoaromatic, and nonaromatic hydrocarbons. , 2009, The journal of physical chemistry. A.

[54]  Julia Contreras-García,et al.  Revealing noncovalent interactions. , 2010, Journal of the American Chemical Society.

[55]  J. Novoa,et al.  Interactions energies associated with short intermolecular contacts of C–H bonds. II. Ab initio computational study of the C–H⋅⋅⋅H–C interactions in methane dimer , 1991 .

[56]  Ville R. I. Kaila,et al.  Hydrogen-bond strengths by magnetically induced currents. , 2011, Physical chemistry chemical physics : PCCP.

[57]  Jean-Philip Piquemal,et al.  NCIPLOT: a program for plotting non-covalent interaction regions. , 2011, Journal of chemical theory and computation.

[58]  R. Bader Atoms in molecules : a quantum theory , 1990 .

[59]  C. Ochsenfeld,et al.  Benchmarking Hydrogen and Carbon NMR Chemical Shifts at HF, DFT, and MP2 Levels. , 2014, Journal of chemical theory and computation.

[60]  Chérif F. Matta,et al.  Hydrogen–hydrogen bonding in biphenyl revisited , 2007 .

[61]  S. J. Grabowski High-Level Ab Initio Calculations of Dihydrogen-Bonded Complexes , 2000 .

[62]  R. Bader,et al.  Bond paths are not chemical bonds. , 2009, The journal of physical chemistry. A.

[63]  P. Lazzeretti,et al.  Stagnation graphs and topological models of magnetic-field induced electron current density for some small molecules in connection with their magnetic symmetry , 2011 .

[64]  Frank Jensen,et al.  Basis Set Convergence of Nuclear Magnetic Shielding Constants Calculated by Density Functional Methods. , 2008, Journal of chemical theory and computation.

[65]  Claude Lecomte,et al.  Hydrogen bond strengths revealed by topological analyses of experimentally observed electron densities , 1998 .

[66]  Jerzy Cioslowski,et al.  Universality among topological properties of electron density associated with the hydrogen–hydrogen nonbonding interactions , 1992 .

[67]  R. Zanasi Coupled Hartree–Fock calculations of molecular magnetic properties annihilating the transverse paramagnetic current density , 1996 .

[68]  Báder Principle of stationary action and the definition of a proper open system. , 1994, Physical review. B, Condensed matter.

[69]  Miquel Solà,et al.  Polycyclic benzenoids: why kinked is more stable than straight. , 2007, The Journal of organic chemistry.

[70]  Miroslaw Jablonski,et al.  Different Zeroes of Interaction Energies As the Cause of Opposite Results on the Stabilizing Nature of C-H···O Intramolecular Interactions , 2013, J. Chem. Inf. Model..

[71]  R. Zanasi,et al.  On the additivity of current density in polycyclic aromatic hydrocarbons. , 2009, The Journal of chemical physics.

[72]  Yihui Chen,et al.  Microwave spectra of the deuterium isotopologues of cis-hexatriene and a semiexperimental equilibrium structure. , 2013, The journal of physical chemistry. A.

[73]  Richard F. W. Bader A quantum theory of molecular structure and its applications , 1991 .