Intra- and intermolecular dispersion interactions in [N]cycloparaphenylenes: do they influence their structural and electronic properties?

Cycloparaphenylenes (CPPs) are nanosized structures with unique isolated and bulk properties, and are synthetic targets for the template-driven bottom-up synthesis of carbon nanotubes. Thus, a systematic understanding of the supramolecular order at the nanoscale is of utmost relevance for molecular engineering. In this study, it is found that intramolecular noncovalent (dispersion) interactions must be taken into account for obtaining accurate estimates of the structural and optoelectronic properties of [n]CPP compounds, and their influence as the number of repeat units increases from n=4 to n=12 is also analyzed, both in the gas phase and in solution. The supramolecular self-assembly, for which both intra- and intermolecular noncovalent interactions are relevant, of [6]CPP is also investigated by calculating the binding energies of dimers taken along several crystal directions. These are also used to estimate the cohesive energy of the crystal, which is compared to the value obtained by means of dispersion-corrected DFT calculations using periodic boundary conditions. The reasonable agreement between both computational strategies points towards a first estimate of the [6]CPP cohesive energy of around 50 kcal mol(-1) .

[1]  S. Yamago,et al.  In-plane aromaticity in cycloparaphenylene dications: a magnetic circular dichroism and theoretical study. , 2015, Journal of the American Chemical Society.

[2]  J. Reimers,et al.  Recommending Hartree-Fock theory with London-dispersion and basis-set-superposition corrections for the optimization or quantum refinement of protein structures. , 2014, The journal of physical chemistry. B.

[3]  H. Takaya,et al.  Partial charge transfer in the shortest possible metallofullerene peapod, La@C82 ⊂[11]cycloparaphenylene. , 2014, Chemistry.

[4]  S. Irle,et al.  Quantum Dynamics Simulations Reveal Vibronic Effects on the Optical Properties of [n]Cycloparaphenylenes. , 2014, Journal of chemical theory and computation.

[5]  T. Majima,et al.  Radical Ions of Cycloparaphenylenes: Size Dependence Contrary to the Neutral Molecules. , 2014, The journal of physical chemistry letters.

[6]  A. Tkatchenko,et al.  Understanding molecular crystals with dispersion-inclusive density functional theory: pairwise corrections and beyond. , 2014, Accounts of chemical research.

[7]  E. Darzi,et al.  Efficient room-temperature synthesis of a highly strained carbon nanohoop fragment of buckminsterfullerene. , 2014, Nature chemistry.

[8]  S. Grimme,et al.  DFT-D3 Study of Some Molecular Crystals , 2014 .

[9]  C. Sherrill,et al.  Communication: resolving the three-body contribution to the lattice energy of crystalline benzene: benchmark results from coupled-cluster theory. , 2014, The Journal of chemical physics.

[10]  Alexandre Tkatchenko,et al.  Hard Numbers for Large Molecules: Toward Exact Energetics for Supramolecular Systems. , 2014, The journal of physical chemistry letters.

[11]  Takahiro Iwamoto,et al.  Organoplatinum-mediated synthesis of cyclic π-conjugated molecules: towards a new era of three-dimensional aromatic compounds. , 2014, Chemical record.

[12]  S. Yamago,et al.  Synthesis and characterization of [5]cycloparaphenylene. , 2014, Journal of the American Chemical Society.

[13]  E. Darzi,et al.  The effects of cyclic conjugation and bending on the optoelectronic properties of paraphenylenes. , 2014, Organic letters.

[14]  Takahiro Iwamoto,et al.  Size- and orientation-selective encapsulation of C(70) by cycloparaphenylenes. , 2013, Chemistry.

[15]  S. Grimme,et al.  Effects of London dispersion correction in density functional theory on the structures of organic molecules in the gas phase. , 2013, Physical chemistry chemical physics : PCCP.

[16]  A. Tkatchenko,et al.  Scaling laws for van der Waals interactions in nanostructured materials , 2013, Nature Communications.

[17]  Stefan Grimme,et al.  Corrected small basis set Hartree‐Fock method for large systems , 2013, J. Comput. Chem..

[18]  A. Tkatchenko,et al.  Understanding the role of vibrations, exact exchange, and many-body van der Waals interactions in the cohesive properties of molecular crystals. , 2013, The Journal of chemical physics.

[19]  K. Itami,et al.  Initiation of carbon nanotube growth by well-defined carbon nanorings. , 2013, Nature chemistry.

[20]  Y. Shao,et al.  Accelerating MP2C dispersion corrections for dimers and molecular crystals. , 2013, The Journal of chemical physics.

[21]  Toshiyasu Suzuki,et al.  Selective Synthesis of [6]-, [8]-, and [10]Cycloparaphenylenes , 2013 .

[22]  T. Majima,et al.  Enhancement of the quinoidal character for smaller [n]cycloparaphenylenes probed by Raman spectroscopy. , 2013, Chemphyschem : a European journal of chemical physics and physical chemistry.

[23]  J. Sancho‐García,et al.  Obtaining the lattice energy of the anthracene crystal by modern yet affordable first-principles methods. , 2013, The Journal of chemical physics.

[24]  I. Fedorov,et al.  Structural and electronic properties of perylene from first principles calculations. , 2013, The Journal of chemical physics.

[25]  S. Grimme,et al.  Performance of Non-Local and Atom-Pairwise Dispersion Corrections to DFT for Structural Parameters of Molecules with Noncovalent Interactions. , 2013, Journal of chemical theory and computation.

[26]  Bryan M. Wong,et al.  Synthesis, characterization, and computational studies of cycloparaphenylene dimers. , 2012, Journal of the American Chemical Society.

[27]  R. Jasti,et al.  Bending benzene: syntheses of [n]cycloparaphenylenes. , 2012, The Journal of organic chemistry.

[28]  R. Jasti,et al.  Gram-scale synthesis and crystal structures of [8]- and [10]CPP, and the solid-state structure of C60@[10]CPP , 2012 .

[29]  Alexandre Tkatchenko,et al.  Collective many-body van der Waals interactions in molecular systems , 2012, Proceedings of the National Academy of Sciences.

[30]  S. Irle,et al.  Combined experimental and theoretical studies on the photophysical properties of cycloparaphenylenes. , 2012, Organic & biomolecular chemistry.

[31]  A. Otero-de-la-Roza,et al.  A benchmark for non-covalent interactions in solids. , 2012, The Journal of chemical physics.

[32]  R. Jasti,et al.  Synthesis of tetraphenyl-substituted [12]cycloparaphenylene: toward a rationally designed ultrashort carbon nanotube. , 2012, The Journal of organic chemistry.

[33]  A. Tkatchenko,et al.  Accurate and efficient method for many-body van der Waals interactions. , 2012, Physical review letters.

[34]  K. Morokuma,et al.  Theoretical insights into chirality-controlled SWCNT growth from a cycloparaphenylene template. , 2012, Chemphyschem : a European journal of chemical physics and physical chemistry.

[35]  K. Itami Toward controlled synthesis of carbon nanotubes and graphenes , 2012 .

[36]  Miguel A. L. Marques,et al.  Libxc: A library of exchange and correlation functionals for density functional theory , 2012, Comput. Phys. Commun..

[37]  S. Wheeler Homodesmotic reactions for thermochemistry , 2012 .

[38]  K. Itami,et al.  Synthesis and properties of [9]cyclo-1,4-naphthylene: a π-extended carbon nanoring. , 2012, Journal of the American Chemical Society.

[39]  S. Grimme,et al.  Performance of the van der Waals Density Functional VV10 and (hybrid)GGA Variants for Thermochemistry and Noncovalent Interactions. , 2011, Journal of chemical theory and computation.

[40]  H. Isobe,et al.  Bottom-up synthesis of finite models of helical (n,m)-single-wall carbon nanotubes , 2011 .

[41]  S. Yamago,et al.  Size-selective encapsulation of C60 by [10]cycloparaphenylene: formation of the shortest fullerene-peapod. , 2011, Angewandte Chemie.

[42]  Toshiyasu Suzuki,et al.  Selective and random syntheses of [n]cycloparaphenylenes (n=8-13) and size dependence of their electronic properties. , 2011, Journal of the American Chemical Society.

[43]  Stefan Grimme,et al.  Effect of the damping function in dispersion corrected density functional theory , 2011, J. Comput. Chem..

[44]  K. Itami,et al.  Synthesis and racemization process of chiral carbon nanorings: a step toward the chemical synthesis of chiral carbon nanotubes. , 2011, Organic letters.

[45]  N. Tokitoh,et al.  Concise synthesis and crystal structure of [12]cycloparaphenylene. , 2011, Angewandte Chemie.

[46]  I. Fedorov,et al.  Electronic structure and chemical bond in naphthalene and anthracene. , 2011, Physical chemistry chemical physics : PCCP.

[47]  S. Grimme Density functional theory with London dispersion corrections , 2011 .

[48]  G. Beran,et al.  Predicting Organic Crystal Lattice Energies with Chemical Accuracy , 2010 .

[49]  S. Bachrach,et al.  DFT study of cycloparaphenylenes and heteroatom-substituted nanohoops. , 2010, The Journal of organic chemistry.

[50]  Troy Van Voorhis,et al.  Nonlocal van der Waals density functional: the simpler the better. , 2010, The Journal of chemical physics.

[51]  Pavel Hobza,et al.  Stabilization and structure calculations for noncovalent interactions in extended molecular systems based on wave function and density functional theories. , 2010, Chemical reviews.

[52]  K. Itami,et al.  Theoretical studies on the structures and strain energies of cycloparaphenylenes. , 2010, Organic letters.

[53]  S. Grimme,et al.  A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. , 2010, The Journal of chemical physics.

[54]  Giovanni Scalmani,et al.  Continuous surface charge polarizable continuum models of solvation. I. General formalism. , 2010, The Journal of chemical physics.

[55]  Alexandre Tkatchenko,et al.  Two- and three-body interatomic dispersion energy contributions to binding in molecules and solids. , 2010, The Journal of chemical physics.

[56]  Stefan Goedecker,et al.  ABINIT: First-principles approach to material and nanosystem properties , 2009, Comput. Phys. Commun..

[57]  C. Bertozzi,et al.  Synthesis, Characterization, and Theory of [9]-, [12]-, and [18]Cycloparaphenylene: Carbon Nanohoop Structures , 2008, Journal of the American Chemical Society.

[58]  M. Temprado,et al.  Critically Evaluated Thermochemical Properties of Polycyclic Aromatic Hydrocarbons , 2008 .

[59]  Ashley L. Ringer,et al.  First principles computation of lattice energies of organic solids: the benzene crystal. , 2008, Chemistry.

[60]  J. Černý,et al.  Non-covalent interactions in biomacromolecules. , 2007, Physical chemistry chemical physics : PCCP.

[61]  Franccois Bottin,et al.  Large scale ab initio calculations based on three levels of parallelization , 2007, 0707.3405.

[62]  Jirí Cerný,et al.  Density functional theory augmented with an empirical dispersion term. Interaction energies and geometries of 80 noncovalent complexes compared with ab initio quantum mechanics calculations , 2007, J. Comput. Chem..

[63]  Stefan Grimme,et al.  Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction , 2006, J. Comput. Chem..

[64]  A. Becke,et al.  A post-Hartree-Fock model of intermolecular interactions: inclusion of higher-order corrections. , 2006, The Journal of chemical physics.

[65]  Jirí Cerný,et al.  Benchmark database of accurate (MP2 and CCSD(T) complete basis set limit) interaction energies of small model complexes, DNA base pairs, and amino acid pairs. , 2006, Physical chemistry chemical physics : PCCP.

[66]  J. Dunitz,et al.  Quantum Mechanical Calculations for Benzene Dimer Energies:  Present Problems and Future Challenges. , 2006, Journal of chemical theory and computation.

[67]  A. Becke,et al.  A density-functional model of the dispersion interaction. , 2005, The Journal of chemical physics.

[68]  F. Weigend,et al.  Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy. , 2005, Physical chemistry chemical physics : PCCP.

[69]  J. Tomasi,et al.  Quantum mechanical continuum solvation models. , 2005, Chemical reviews.

[70]  A. Becke,et al.  A post-Hartree-Fock model of intermolecular interactions. , 2005, The Journal of chemical physics.

[71]  J. Sancho‐García,et al.  Anchoring the Torsional Potential of Biphenyl at the ab Initio Level:  The Role of Basis Set versus Correlation Effects. , 2005, Journal of chemical theory and computation.

[72]  James S. Chickos,et al.  Enthalpies of Sublimation of Organic and Organometallic Compounds. 1910–2001 , 2002 .

[73]  Kiyoyuki Terakura,et al.  First Principles Molecular Dynamics Study of Ziegler−Natta Heterogeneous Catalysis , 1998 .

[74]  Florian Weigend,et al.  Auxiliary basis sets for main row atoms and transition metals and their use to approximate Coulomb potentials , 1997 .

[75]  Marco Häser,et al.  Auxiliary basis sets to approximate Coulomb potentials , 1995 .

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

[77]  Vincenzo Barone,et al.  THEORETICAL-STUDY OF DIRECT AND WATER-ASSISTED ISOMERIZATION OF FORMALDEHYDE RADICAL-CATION - A COMPARISON BETWEEN DENSITY-FUNCTIONAL AND POST-HARTREE-FOCK APPROACHES , 1994 .

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

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

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

[81]  Joseph Callaway,et al.  Inhomogeneous Electron Gas , 1973 .

[82]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .

[83]  S. Grimme,et al.  Dispersion corrected hartree-fock and density functional theory for organic crystal structure prediction. , 2014, Topics in current chemistry.

[84]  Paul J Evans,et al.  Molecular belts. , 2014, Topics in current chemistry.

[85]  S. Irle,et al.  Origin of the size-dependent fluorescence blueshift in [n]cycloparaphenylenes , 2013 .

[86]  Frank Neese,et al.  The ORCA program system , 2012 .