Chemical bonding in view of electron charge density and kinetic energy density descriptors

Stalke's dilemma, stating that different chemical interpretations are obtained when one and the same density is interpreted either by means of natural bond orbital (NBO) and subsequent natural resonance theory (NRT) application or by the quantum theory of atoms in molecules (QTAIM), is reinvestigated. It is shown that within the framework of QTAIM, the question as to whether for a given molecule two atoms are bonded or not is only meaningful in the context of a well‐defined reference geometry. The localized‐orbital‐locator (LOL) is applied to map out patterns in covalent bonding interaction, and produces results that are consistent for a variety of reference geometries. Furthermore, LOL interpretations are in accord with NBO/NRT, and assist in an interpretation in terms of covalent bonding. © 2008 Wiley Periodicals, Inc.J Comput Chem, 2009.

[1]  Axel D. Becke,et al.  A Simple Measure of Electron Localization in Atomic and Molecular-Systems , 1990 .

[2]  Arvi Rauk,et al.  A theoretical study of the ethylene-metal bond in complexes between copper(1+), silver(1+), gold(1+), platinum(0) or platinum(2+) and ethylene, based on the Hartree-Fock-Slater transition-state method , 1979 .

[3]  Gernot Frenking,et al.  Is this a chemical bond? A theoretical study of Ng2@C60 (Ng=He, Ne, Ar, Kr, Xe). , 2007, Chemistry.

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

[5]  H. Jacobsen,et al.  Expanding the scope of the Newman–Kwart rearrangement — A computational assessment , 2006 .

[6]  Testing the kinetic energy functional: Kinetic energy density as a density functional , 2003 .

[7]  Gernot Frenking,et al.  Unicorns in the world of chemical bonding models , 2007, J. Comput. Chem..

[8]  J. Alvarellos,et al.  Kinetic energy density study of some representative semilocal kinetic energy functionals. , 2007, The Journal of chemical physics.

[9]  M. Solà,et al.  A model of the chemical bond must be rooted in quantum mechanics, provide insight, and possess predictive power. , 2006, Chemistry.

[10]  A. Haaland,et al.  Topological analysis of electron densities: is the presence of an atomic interaction line in an equilibrium geometry a sufficient condition for the existence of a chemical bond? , 2004, Chemistry.

[11]  G. G. Hall,et al.  Orthogonal trajectories of the electron density , 1977 .

[12]  Leon Cohen,et al.  Representable local kinetic energy , 1984 .

[13]  Klaus Ruedenberg,et al.  The Physical Nature of the Chemical Bond , 1962 .

[14]  Evelio Francisco,et al.  Chemical fragments in real space: Definitions, properties, and energetic decompositions , 2007, J. Comput. Chem..

[15]  Paul L. A. Popelier,et al.  MORPHY, a program for an automated “atoms in molecules” analysis , 1996 .

[16]  R. Fulton Sharing of electrons in molecules , 1993 .

[17]  H. Jacobsen,et al.  Dicoordinate copper(I) chalcogenides – Structure and bonding , 2007 .

[18]  A. Schäfer,et al.  Fully optimized contracted Gaussian basis sets of triple zeta valence quality for atoms Li to Kr , 1994 .

[19]  Fernando Cortés-Guzmán,et al.  Complementarity of QTAIM and MO theory in the study of bonding in donor–acceptor complexes , 2005 .

[20]  A. Becke,et al.  Two functions of the density matrix and their relation to the chemical bond , 2002 .

[21]  M. Nascimento,et al.  The nature of the chemical bond , 2008 .

[22]  Wang,et al.  Accurate and simple analytic representation of the electron-gas correlation energy. , 1992, Physical review. B, Condensed matter.

[23]  I. Mayer,et al.  Bond order and valence indices: A personal account , 2007, J. Comput. Chem..

[24]  Laplacian-level density functionals for the kinetic energy density and exchange-correlation energy , 2006, cond-mat/0612430.

[25]  E. Glendening,et al.  Natural resonance theory: II. Natural bond order and valency , 1998 .

[26]  Dietmar Stalke,et al.  Chemical interpretation of molecular electron density distributions , 2007, J. Comput. Chem..

[27]  K. Ruedenberg,et al.  Toward a physical understanding of electron‐sharing two‐center bonds. I. General aspects , 2007, Journal of computational chemistry.

[28]  Michael W. Schmidt,et al.  Why does electron sharing lead to covalent bonding? A variational analysis , 2007, J. Comput. Chem..

[29]  R. Parr Density-functional theory of atoms and molecules , 1989 .

[30]  Jerzy Cioslowski,et al.  Covalent bond orders in the topological theory of atoms in molecules , 1991 .

[31]  R. Bader,et al.  Properties of Atoms in Molecules:  Caged Atoms and the Ehrenfest Force. , 2005, Journal of chemical theory and computation.

[32]  J. Perdew,et al.  Density-functional approximation for the correlation energy of the inhomogeneous electron gas. , 1986, Physical review. B, Condensed matter.

[33]  L. Cohen Local kinetic energy in quantum mechanics , 1979 .

[34]  Á. Nagy,et al.  Local kinetic energy and local temperature in the density‐functional theory of electronic structure , 2002 .

[35]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[36]  R. Bader,et al.  Spatial localization of the electronic pair and number distributions in molecules , 1975 .

[37]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[38]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[39]  R. Bader,et al.  The mapping of the conditional pair density onto the electron density , 1999 .

[40]  Werner Kutzelnigg,et al.  The Physical Mechanism of the Chemical Bond , 1973 .

[41]  Heiko Jacobsen,et al.  Localized-orbital locator (LOL) profiles of chemical bonding , 2008 .

[42]  Frank Weinhold,et al.  Natural resonance theory: III. Chemical applications , 1998 .

[43]  R. Bader Comment on the comparative use of the electron density and its Laplacian. , 2006, Chemistry.

[44]  Norberto Castillo,et al.  Characterization of a closed-shell fluorine-fluorine bonding interaction in aromatic compounds on the basis of the electron density. , 2005, The journal of physical chemistry. A.

[45]  R. Bader Letter to the editor: Quantum mechanics, or orbitals? , 2003 .

[46]  Frank Weinhold,et al.  Natural resonance theory: I. General formalism , 1998 .

[47]  R. Bartlett,et al.  A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples , 1982 .

[48]  R. Bader Pauli repulsions exist only in the eye of the beholder. , 2006, Chemistry.

[49]  R. Bader,et al.  A Bond Path: A Universal Indicator of Bonded Interactions , 1998 .

[50]  Kenneth B. Wiberg,et al.  Application of the pople-santry-segal CNDO method to the cyclopropylcarbinyl and cyclobutyl cation and to bicyclobutane , 1968 .

[51]  S. T. Mixon,et al.  Comparison of covalent bond indexes and sharing indexes , 1993 .

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

[53]  P. Salvador,et al.  Overlap populations, bond orders and valences for fuzzy atoms , 2004 .

[54]  Richard F. W. Bader,et al.  Bonded and nonbonded charge concentrations and their relation to molecular geometry and reactivity , 1984 .

[55]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[56]  M. Frisch,et al.  Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields , 1994 .

[57]  Gilbert N. Lewis,et al.  The Atom and the Molecule , 1916, Resonance.

[58]  Miquel Solà,et al.  Hydrogen-hydrogen bonding in planar biphenyl, predicted by atoms-in-molecules theory, does not exist. , 2006, Chemistry.

[59]  Axel D. Becke,et al.  Chemical content of the kinetic energy density , 2000 .

[60]  Jackson,et al.  Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation. , 1992, Physical review. B, Condensed matter.

[61]  Á. Nagy,et al.  Alternatives to the electron density for describing Coulomb systems. , 2007, Journal of Chemical Physics.

[62]  A. Becke A New Mixing of Hartree-Fock and Local Density-Functional Theories , 1993 .