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Góger S, Karimpour MR, Tkatchenko A. Four-Dimensional Scaling of Dipole Polarizability: From Single-Particle Models to Atoms and Molecules. J Chem Theory Comput 2024; 20:6621-6631. [PMID: 39015013 PMCID: PMC11325554 DOI: 10.1021/acs.jctc.4c00582] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/18/2024]
Abstract
Scaling laws enable the determination of physicochemical properties of molecules and materials as a function of their size, density, number of electrons or other easily accessible descriptors. Such relations can be counterintuitive and nonlinear, and ultimately yield much needed insight into quantum mechanics of many-particle systems. In this work, we show on the basis of single-particle models, multielectron atoms and molecules that the dipole polarizability of quantum systems is generally proportional to the fourth power of a characteristic length, computed from the ground-state wave function. This four-dimensional (4D) scaling is independent of the ratio of bound-to-bound and bound-to-continuum electronic transitions and applies to many-electron atoms when a correlated length metric is used. Finally, this scaling law is applied to predict the polarizability of molecules by electrostatically coupled atoms-in-molecules approach, obtaining approximately 8% absolute and relative accuracy with respect to hybrid density functional theory (DFT) on the QM7-X data set of organic molecules, providing an efficient and scalable model for the anisotropic polarizability tensors of extended (bio)molecules.
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Affiliation(s)
- Szabolcs Góger
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - Mohammad Reza Karimpour
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - Alexandre Tkatchenko
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
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2
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Cieśliński D, Tucholska AM, Modrzejewski M. Post-Kohn-Sham Random-Phase Approximation and Correction Terms in the Expectation-Value Coupled-Cluster Formulation. J Chem Theory Comput 2023; 19:6619-6631. [PMID: 37774375 PMCID: PMC10569055 DOI: 10.1021/acs.jctc.3c00496] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2023] [Indexed: 10/01/2023]
Abstract
Using expectation-value coupled-cluster theory and many-body perturbation theory (MBPT), we formulate a series of corrections to the post-Kohn-Sham (post-KS) random-phase approximation (RPA) energy. The beyond-RPA terms are of two types: those accounting for the non-Hartree-Fock reference and those introducing the coupled-cluster doubles non-ring contractions. The contributions of the former type, introduced via the semicanonical orbital basis, drastically reduce the binding strength in noncovalent systems. The good accuracy is recovered by the attractive third-order doubles correction referred to as Ec2g. The existing RPA approaches based on KS orbitals neglect most of the proposed corrections but can perform well thanks to error cancellation. The proposed method accounts for every contribution in the state-of-the-art renormalized second-order perturbation theory (rPT2) approach but adds additional terms which initially contribute in the third order of MBPT. The cost of energy evaluation scales as noniterative O ( N 4 ) in the implementation with low-rank tensor decomposition. The numerical tests of the proposed approach demonstrate accurate results for noncovalent dimers of polar molecules and for the challenging many-body noncovalent cluster of CH4···(H2O)20.
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Affiliation(s)
- Dominik Cieśliński
- Faculty
of Chemistry, University of Warsaw, Pasteura 1, Warsaw 02-093, Poland
| | | | - Marcin Modrzejewski
- Faculty
of Chemistry, University of Warsaw, Pasteura 1, Warsaw 02-093, Poland
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3
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Shukla V, Jiao Y, Frostenson CM, Hyldgaard P. vdW-DF-ahcx: a range-separated van der Waals density functional hybrid. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 34:025902. [PMID: 34584024 DOI: 10.1088/1361-648x/ac2ad2] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/20/2021] [Accepted: 09/28/2021] [Indexed: 06/13/2023]
Abstract
Hybrid density functionals replace a fraction of an underlying generalized-gradient approximation (GGA) exchange description with a Fock-exchange component. Range-separated hybrids (RSHs) also effectively screen the Fock-exchange component and thus open the door for characterizations of metals and adsorption at metal surfaces. The RSHs are traditionally based on a robust GGA, such as PBE (Perdew J Pet al1996Phys. Rev. Lett.773865), for example, as implemented in the HSE design (Heyd Jet al2003J. Chem. Phys.1188207). Here we define an analytical-hole (Henderson T Met al2008J. Chem. Phys.128194105) consistent-exchange RSH extension to the van der Waals density functional (vdW-DF) method (Berland Ket al2015Rep. Prog. Phys.78066501), launching vdW-DF-ahcx. We characterize the GGA-type exchange in the vdW-DF-cx version (Berland K and Hyldgaard P 2014Phys. Rev. B89035412), isolate the short-ranged exchange component, and define the new vdW-DF hybrid. We find that the performance vdW-DF-ahcx compares favorably to (dispersion-corrected) HSE for descriptions of bulk (broad molecular) properties. We also find that it provides accurate descriptions of noble-metal surface properties, including CO adsorption.
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Affiliation(s)
- Vivekanand Shukla
- Microtechnology and Nanoscience-MC2, Chalmers University of Technology, SE-41296 Gothenburg, Sweden
| | - Yang Jiao
- Microtechnology and Nanoscience-MC2, Chalmers University of Technology, SE-41296 Gothenburg, Sweden
| | - Carl M Frostenson
- Microtechnology and Nanoscience-MC2, Chalmers University of Technology, SE-41296 Gothenburg, Sweden
| | - Per Hyldgaard
- Microtechnology and Nanoscience-MC2, Chalmers University of Technology, SE-41296 Gothenburg, Sweden
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4
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Fedotov DA, Coriani S, Hättig C. Damped (linear) response theory within the resolution-of-identity coupled cluster singles and approximate doubles (RI-CC2) method. J Chem Phys 2021; 154:124110. [PMID: 33810703 DOI: 10.1063/5.0042759] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Abstract
An implementation of a complex solver for the solution of the linear equations required to compute the complex response functions of damped response theory is presented for the resolution-of-identity (RI) coupled cluster singles and approximate doubles (CC2) method. The implementation uses a partitioned formulation that avoids the storage of double excitation amplitudes to make it applicable to large molecules. The solver is the keystone element for the development of the damped coupled cluster response formalism for linear and nonlinear effects in resonant frequency regions at the RI-CC2 level of theory. Illustrative results are reported for the one-photon absorption cross section of C60, the electronic circular dichroism of n-helicenes (n = 5, 6, 7), and the C6 dispersion coefficients of a set of selected organic molecules and fullerenes.
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Affiliation(s)
- Daniil A Fedotov
- DTU Chemistry, Technical University of Denmark, Kemitorvet Bldg. 207, DK-2800 Kongens Lyngby, Denmark
| | - Sonia Coriani
- DTU Chemistry, Technical University of Denmark, Kemitorvet Bldg. 207, DK-2800 Kongens Lyngby, Denmark
| | - Christof Hättig
- Arbeitsgruppe Quantenchemie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
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5
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Lao KU, Yang Y, DiStasio RA. Electron confinement meet electron delocalization: non-additivity and finite-size effects in the polarizabilities and dispersion coefficients of the fullerenes. Phys Chem Chem Phys 2021; 23:5773-5779. [PMID: 33666598 DOI: 10.1039/d0cp05638c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this work, we used finite-field derivative techniques and density functional theory (DFT) to compute the static isotropic polarizability series (αl with l = 1, 2, 3) for the C60-C84 fullerenes and quantitatively assess the intrinsic non-additivity in these fundamental response properties. By comparing against classical models of the fullerenes as conducting spherical shells (or solid spheres) of uniform electron density, a detailed critical analysis of the derived effective scaling laws (α1 ∼ N1.2, α2 ∼ N2.0, α3 ∼ N2.7) demonstrates that the electronic structure of finite-sized fullerenes-a unique dichotomy of electron confinement and delocalization effects due to their quasi-spherical cage-like structures and encapsulated void spaces-simultaneously limits and enhances their quantum mechanical response to electric field perturbations. Corresponding frequency-dependent polarizabilities were obtained by inputting the αl series into the hollow sphere model (within the modified single frequency approximation), and used to compute the molecular dispersion coefficients (Cn with n = 6, 8, 9, 10) needed to describe the non-trivial van der Waals (vdW) interactions in fullerene-based systems. Using first-order perturbation theory in conjunction with >140 000 DFT calculations, we also computed the non-negligible zero-point vibrational contributions to α1 in C60 and C70, thereby enabling a more accurate and direct comparison between theory and experiment for these quintessential nanostructures.
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Affiliation(s)
- Ka Un Lao
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, NY 14853, USA.
| | - Yan Yang
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, NY 14853, USA.
| | - Robert A DiStasio
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, NY 14853, USA.
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6
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Brand M, Ahmadzadeh K, Li X, Rinkevicius Z, Saidi WA, Norman P. Size-dependent polarizabilities and van der Waals dispersion coefficients of fullerenes from large-scale complex polarization propagator calculations. J Chem Phys 2021; 154:074304. [PMID: 33607910 DOI: 10.1063/5.0040009] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023] Open
Abstract
While the anomalous non-additive size-dependencies of static dipole polarizabilities and van der Waals C6 dispersion coefficients of carbon fullerenes are well established, the widespread reported scalings for the latter (ranging from N2.2 to N2.8) call for a comprehensive first-principles investigation. With a highly efficient implementation of the linear complex polarization propagator, we have performed Hartree-Fock and Kohn-Sham density functional theory calculations of the frequency-dependent polarizabilities for fullerenes consisting of up to 540 carbon atoms. Our results for the static polarizabilities and C6 coefficients show scalings of N1.2 and N2.2, respectively, thereby deviating significantly from the previously reported values obtained with the use of semi-classical/empirical methods. Arguably, our reported values are the most accurate to date as they represent the first ab initio or first-principles treatment of fullerenes up to a convincing system size.
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Affiliation(s)
- Manuel Brand
- Department of Theoretical Chemistry and Biology, School of Engineering Sciences in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Karan Ahmadzadeh
- Department of Theoretical Chemistry and Biology, School of Engineering Sciences in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Xin Li
- Department of Theoretical Chemistry and Biology, School of Engineering Sciences in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Zilvinas Rinkevicius
- Department of Theoretical Chemistry and Biology, School of Engineering Sciences in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Wissam A Saidi
- Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, USA
| | - Patrick Norman
- Department of Theoretical Chemistry and Biology, School of Engineering Sciences in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
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7
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Das S, Fiedler J, Stauffert O, Walter M, Buhmann SY, Presselt M. Macroscopic quantum electrodynamics and density functional theory approaches to dispersion interactions between fullerenes. Phys Chem Chem Phys 2020; 22:23295-23306. [PMID: 33034333 DOI: 10.1039/d0cp02863k] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Abstract
The processing and material properties of commercial organic semiconductors, for e.g. fullerenes is largely controlled by their precise arrangements, specially intermolecular symmetries, distances and orientations, more specifically, molecular polarisabilities. These supramolecular parameters heavily influence their electronic structure, thereby determining molecular photophysics and therefore dictating their usability as n-type semiconductors. In this article we evaluate van der Waals potentials of a fullerene dimer model system using two approaches: (a) Density Functional Theory and, (b) Macroscopic Quantum Electrodynamics, which is particularly suited for describing long-range van der Waals interactions. Essentially, we determine and explain the model symmetry, distance and rotational dependencies on binding energies and spectral changes. The resultant spectral tuning is compared using both methods showing correspondence within the constraints placed by the different model assumptions. We envision that the application of macroscopic methods and structure/property relationships laid forward in this article will find use in fundamental supramolecular electronics.
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Affiliation(s)
- Saunak Das
- Institute of Physical Chemistry (IPC), Friedrich Schiller University Jena, Helmholtzweg 4, 07743 Jena, Germany. and Leibniz Institute of Photonic Technology (IPHT), Albert-Einstein-Str. 9, 07745 Jena, Germany and Stewart Blusson Quantum Matter Institute, The University of British Columbia, Vancouver, British Columbia, Canada
| | - Johannes Fiedler
- Institute of Physics, Albert-Ludwigs University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany. and Centre for Materials Science and Nanotechnology, Department of Physics, University of Oslo, P.O. Box 1048 Blindern, 0316 Oslo, Norway
| | - Oliver Stauffert
- Institute of Physics, Albert-Ludwigs University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany.
| | - Michael Walter
- Institute of Physics, Albert-Ludwigs University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany. and FIT Freiburg Centre for Interactive Materials and Bioinspired Technologies, University of Freiburg, Georges-Köhler-Allee 105, 79110 Freiburg, Germany and Cluster of Excellence livMatS @ FIT - Freiburg Center for Interactive Materials and Bioinspired Technologies, University of Freiburg, Georges-Köhler-Allee 105, 79110 Freiburg, Germany and Frauenhofer IWM, MikroTribologie Centrum μTC, Wöhlerstrasse 11, 79108 Freiburg, Germany
| | - Stefan Yoshi Buhmann
- Institute of Physics, Albert-Ludwigs University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany.
| | - Martin Presselt
- Institute of Physical Chemistry (IPC), Friedrich Schiller University Jena, Helmholtzweg 4, 07743 Jena, Germany. and Leibniz Institute of Photonic Technology (IPHT), Albert-Einstein-Str. 9, 07745 Jena, Germany and Center for Energy and Environmental Chemistry Jena (CEEC Jena), Friedrich Schiller University Jena, Philosophenweg 7a, 07743 Jena, Germany and Sciclus GmbH & Co. KG, Moritz-von-Rohr-Str. 1a, 07745 Jena, Germany
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8
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Hyldgaard P, Jiao Y, Shukla V. Screening nature of the van der Waals density functional method: a review and analysis of the many-body physics foundation. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:393001. [PMID: 32213670 DOI: 10.1088/1361-648x/ab8250] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/20/2020] [Accepted: 03/23/2020] [Indexed: 05/03/2023]
Abstract
We review the screening nature and many-body physics foundation of the van der Waals density functional (vdW-DF) method [Berland Ket al2015Rep. Prog. Phys.78066501], a systematic approach to construct truly nonlocal exchange-correlation energy density functionals. To that end we define and focus on a class of consistent vdW-DF versions that adhere to the Lindhard screening logic of the full method formulation. The consistent-exchange vdW-DF-cx version [Berland K and Hyldgaard P 2014Phys. Rev. B89035412] and its spin extension [Thonhauser Tet al2015Phys. Rev. Lett.115136402] represent the first examples of this class; in general, consistent vdW-DFs reflect a concerted expansion of a formal recast of the adiabatic-connection formula [Hyldgaard Pet al2014Phys. Rev. B90075148], an exponential summation of contributions to the local-field response, and the Dyson equation. We argue that the screening emphasis is essential because the exchange-correlation energy reflects an effective electrodynamics set by a long-range interaction. Two consequences are that (1) there are, in principle, no wiggle room in how one balances exchange and correlation, for example, in vdW-DF-cx, and that (2) consistent vdW-DFs have a formal structure that allows them to incorporate vertex-correction effects, at least in the case of levels that experience recoil-less interactions (for example, near the Fermi surface). We explore the extent to which the strictly nonempirical vdW-DF-cx formulation can serve as a systematic extension of the constraint-based semilocal functionals. For validation, we provide a complete survey of vdW-DF-cx performance for broad molecular processes, for the full set of 55 benchmarks in GMTKN55 [Goerigk Let al2017Phys. Chem. Chem. Phys.1932184] and comparing to the quantum-chemistry calculations that are summarized in that paper. We also provide new vdW-DF-cx results for metal surface energies and work functions that we compare to experiment. Finally, we use the screening insight to separate the vdW-DF nonlocal-correlation term into pure-vdW-interaction and local-field-susceptibility effects and present tools to compute and map the binding signatures.
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Affiliation(s)
- Per Hyldgaard
- Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-41296 Gothenburg, Sweden
| | - Yang Jiao
- Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-41296 Gothenburg, Sweden
| | - Vivekanand Shukla
- Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-41296 Gothenburg, Sweden
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9
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Fabrizio A, Petraglia R, Corminboeuf C. Balancing Density Functional Theory Interaction Energies in Charged Dimers Precursors to Organic Semiconductors. J Chem Theory Comput 2020; 16:3530-3542. [DOI: 10.1021/acs.jctc.9b01193] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Affiliation(s)
- Alberto Fabrizio
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
- National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
| | - Riccardo Petraglia
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
| | - Clemence Corminboeuf
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
- National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
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10
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A Feynman dispersion correction: a proof of principle for MNDO. J Mol Model 2018; 24:338. [DOI: 10.1007/s00894-018-3874-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/28/2018] [Accepted: 11/05/2018] [Indexed: 02/04/2023]
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11
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Intermolecular dispersion energies from coupled exact-exchange Kohn-Sham excitation energies and vectors. COMPUT THEOR CHEM 2018. [DOI: 10.1016/j.comptc.2018.02.019] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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12
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Tao J, Perdew JP, Tang H, Shahi C. Origin of the size-dependence of the equilibrium van der Waals binding between nanostructures. J Chem Phys 2018; 148:074110. [PMID: 29471641 DOI: 10.1063/1.5018572] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Nanostructures can be bound together at equilibrium by the van der Waals (vdW) effect, a small but ubiquitous many-body attraction that presents challenges to density functional theory. How does the binding energy depend upon the size or number of atoms in one of a pair of identical nanostructures? To answer this question, we treat each nanostructure as a whole object, not as a collection of atoms. Our calculations start from an accurate static dipole polarizability for each considered nanostructure, and an accurate equilibrium center-to-center distance for the pair (the latter from experiment or from the vdW-DF-cx functional). We consider the competition in each term -C2k/d2k (k = 3, 4, 5) of the long-range vdW series for the interaction energy, between the size dependence of the vdW coefficient C2k and that of the 2kth power of the center-to-center distance d. The damping of these vdW terms can be negligible, but in any case, it does not affect the size dependence for a given term in the absence of non-vdW binding. To our surprise, the vdW energy can be size-independent for quasi-spherical nanoclusters bound to one another by vdW interaction, even with strong nonadditivity of the vdW coefficient, as demonstrated for fullerenes. We also show that, for low-dimensional systems, the vdW interaction yields the strongest size-dependence, in stark contrast to that of fullerenes. We illustrate this with parallel planar polycyclic aromatic hydrocarbons. The size dependences of other morphologies or bonding types lie between, as shown by sodium clusters.
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Affiliation(s)
- Jianmin Tao
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122-1801, USA
| | - John P Perdew
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122-1801, USA
| | - Hong Tang
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122-1801, USA
| | - Chandra Shahi
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122-1801, USA
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13
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Hermann J, DiStasio RA, Tkatchenko A. First-Principles Models for van der Waals Interactions in Molecules and Materials: Concepts, Theory, and Applications. Chem Rev 2017; 117:4714-4758. [PMID: 28272886 DOI: 10.1021/acs.chemrev.6b00446] [Citation(s) in RCA: 267] [Impact Index Per Article: 38.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
Noncovalent van der Waals (vdW) or dispersion forces are ubiquitous in nature and influence the structure, stability, dynamics, and function of molecules and materials throughout chemistry, biology, physics, and materials science. These forces are quantum mechanical in origin and arise from electrostatic interactions between fluctuations in the electronic charge density. Here, we explore the conceptual and mathematical ingredients required for an exact treatment of vdW interactions, and present a systematic and unified framework for classifying the current first-principles vdW methods based on the adiabatic-connection fluctuation-dissipation (ACFD) theorem (namely the Rutgers-Chalmers vdW-DF, Vydrov-Van Voorhis (VV), exchange-hole dipole moment (XDM), Tkatchenko-Scheffler (TS), many-body dispersion (MBD), and random-phase approximation (RPA) approaches). Particular attention is paid to the intriguing nature of many-body vdW interactions, whose fundamental relevance has recently been highlighted in several landmark experiments. The performance of these models in predicting binding energetics as well as structural, electronic, and thermodynamic properties is connected with the theoretical concepts and provides a numerical summary of the state-of-the-art in the field. We conclude with a roadmap of the conceptual, methodological, practical, and numerical challenges that remain in obtaining a universally applicable and truly predictive vdW method for realistic molecular systems and materials.
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Affiliation(s)
- Jan Hermann
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6, 14195 Berlin, Germany
| | - Robert A DiStasio
- Department of Chemistry and Chemical Biology, Cornell University , Ithaca, New York 14853, United States
| | - Alexandre Tkatchenko
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6, 14195 Berlin, Germany.,Physics and Materials Science Research Unit, University of Luxembourg , L-1511 Luxembourg, Luxembourg
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14
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Dobson JF, Savin A, Ángyán JG, Liu RF. Spooky correlations and unusual van der Waals forces between gapless and near-gapless molecules. J Chem Phys 2017; 145:204107. [PMID: 27908123 DOI: 10.1063/1.4967959] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
Abstract
We consider the zero-temperature van der Waals (vdW) interaction between two molecules, each of which has a zero or near-zero electronic gap between a ground state and the first excited state, using a toy model molecule (equilateral H3) as an example. We show that the van der Waals energy between two ground state molecules falls off as D-3 instead of the usual D-6 dependence, when the molecules are separated by distance D. We show that this is caused by a perfect "spooky" correlation between the two fluctuating electric dipoles. The phenomenon is related to, but not the same as, the "resonant" interaction between an electronically excited and a ground state molecule introduced by Eisenschitz and London in 1930. It is also an example of "type C van der Waals non-additivity" recently introduced by one of us [J. F. Dobson, Int. J. Quantum Chem. 114, 1157 (2014)]. Our toy molecule H3 is not stable, but symmetry considerations suggest that a similar vdW phenomenon may be observable, despite Jahn-Teller effects, in molecules with a discrete rotational symmetry and broken inversion symmetry, such as certain metal atom clusters. The motion of the nuclei will need to be included for a definitive analysis of such cases, however.
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Affiliation(s)
- John F Dobson
- School of Natural Sciences and Queensland Micro and Nano Technology Centre, Griffith University, Nathan, Queensland 4111, Australia
| | - Andreas Savin
- UPMC Sorbonne Universités, Laboratoire de Chimie Théorique, 4 Place Jussieu, Case Courrier 137, F-75252 Cedex 05 Paris, France
| | - János G Ángyán
- Laboratoire de Cristallographie, Résonance Magnétique et Modélisations (CRM2, UMR CNRS 7036) and Institut Jean Barriol, Université de Lorraine, BP 239, Boulevard des Aiguillettes, 54506 Vandoeuvre-lès-Nancy, France
| | - Ru-Fen Liu
- Institut Jean Barriol, Université de Lorraine, BP 239, Boulevard des Aiguillettes, 54506 Vandoeuvre-lès-Nancy, France
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15
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Hermann J, Alfè D, Tkatchenko A. Nanoscale π-π stacked molecules are bound by collective charge fluctuations. Nat Commun 2017; 8:14052. [PMID: 28169280 PMCID: PMC5309697 DOI: 10.1038/ncomms14052] [Citation(s) in RCA: 60] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2016] [Accepted: 11/15/2016] [Indexed: 11/24/2022] Open
Abstract
Non-covalent π−π interactions are central to chemical and biological processes, yet the full understanding of their origin that would unite the simplicity of empirical approaches with the accuracy of quantum calculations is still missing. Here we employ a quantum-mechanical Hamiltonian model for van der Waals interactions, to demonstrate that intermolecular electron correlation in large supramolecular complexes at equilibrium distances is appropriately described by collective charge fluctuations. We visualize these fluctuations and provide connections both to orbital-based approaches to electron correlation, as well as to the simple London pairwise picture. The reported binding energies of ten supramolecular complexes obtained from the quantum-mechanical fluctuation model joined with density functional calculations are within 5% of the reference energies calculated with the diffusion quantum Monte-Carlo method. Our analysis suggests that π−π stacking in supramolecular complexes can be characterized by strong contributions to the binding energy from delocalized, collective charge fluctuations—in contrast to complexes with other types of bonding. Attractive, non-covalent interactions between aromatic rings—termed π−π stacking—is common in chemistry but difficult to model. Here the authors report a quantum-mechanical model to show the importance of collective charge fluctuations for understanding pi-stacked supramolecular systems.
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Affiliation(s)
- Jan Hermann
- Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany
| | - Dario Alfè
- Department of Earth Sciences, University College London, London WC1E 6BT, UK.,Department of Physics and Astronomy, University College London, London WC1E 6BT, UK.,London Centre for Nanotechnology and Thomas Young Centre@UCL, University College London, London WC1E 6BT, UK
| | - Alexandre Tkatchenko
- Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany.,Physics and Materials Science Research Unit, University of Luxembourg, 162a Avenue de la Faiencerie, Luxembourg L-1511, Luxembourg
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16
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Mezei PD, Csonka GI, Ruzsinszky A, Kállay M. Construction of a Spin-Component Scaled Dual-Hybrid Random Phase Approximation. J Chem Theory Comput 2017; 13:796-803. [DOI: 10.1021/acs.jctc.6b01140] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Pál D. Mezei
- MTA-BME Lendület
Quantum Chemistry Research Group, Department of Physical
Chemistry and Materials Science, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
| | - Gábor I. Csonka
- Department
of Inorganic and Analytical Chemistry, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
| | - Adrienn Ruzsinszky
- Department
of Physics, Temple University, Philadelphia, Pennsylvania 19122, United States
| | - Mihály Kállay
- MTA-BME Lendület
Quantum Chemistry Research Group, Department of Physical
Chemistry and Materials Science, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
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17
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Sharapa DI, Margraf JT, Hesselmann A, Clark T. Accurate Intermolecular Potential for the C60 Dimer: The Performance of Different Levels of Quantum Theory. J Chem Theory Comput 2016; 13:274-285. [DOI: 10.1021/acs.jctc.6b00869] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Dmitry I. Sharapa
- Computer-Chemie-Centrum,
Department Chemie und Pharmazie, Friedrich-Alexander-Universität Erlangen-Nürnberg, Nägelsbachstraße 25, 91052 Erlangen, Germany
| | - Johannes T. Margraf
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, United States
| | - Andreas Hesselmann
- Lehrstuhl
für Physikalische und Theoretische Chemie, Friedrich-Alexander-Universität Erlangen-Nürnberg, Egerlandstraße 3, 91058 Erlangen, Germany
| | - Timothy Clark
- Computer-Chemie-Centrum,
Department Chemie und Pharmazie, Friedrich-Alexander-Universität Erlangen-Nürnberg, Nägelsbachstraße 25, 91052 Erlangen, Germany
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18
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Gao W, Chen Y, Jiang Q. Discriminating between Metallic and Semiconducting Single-Walled Carbon Nanotubes Using Physisorbed Adsorbates: Role of Wavelike Charge-Density Fluctuations. PHYSICAL REVIEW LETTERS 2016; 117:246101. [PMID: 28009180 DOI: 10.1103/physrevlett.117.246101] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/24/2016] [Indexed: 06/06/2023]
Abstract
Discriminating between metallic (M) and semiconducting (S) single-walled carbon nanotubes (SWNTs) remains a fundamental challenge in the field of nanotechnology. We address this issue by studying the adsorption of the isotropic atoms Xe, Kr, and a highly anisotropic molecule n heptane on M- and S-SWNTs with density functional theory that includes many-body dispersion forces. We find that the distinct polarizabilities of M- and S-SWNTs exhibit significantly different physisorption properties, which are also strongly controlled by the SWNT's diameter, adsorption site, adsorbate coverage, and the adsorbate's anisotropy. These findings stem from the wavelike nature of charge-density fluctuations in SWNTs. Particularly, these results allow us to rationalize the unusual sqrt[3]×sqrt[3]R30^{0} phase of Kr atoms on small gap M-SWNTs and the double desorption peak temperatures of n heptane on M-SWNTs in experiments, and also propose the n heptane as an effective sensor for experimentally discriminating M- and S-SWNTs.
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Affiliation(s)
- Wang Gao
- Key Laboratory of Automobile Materials (Jilin University), Ministry of Education, Department of Materials Science and Engineering, Jilin University, Changchun 130022, China
| | - Yun Chen
- Key Laboratory of Automobile Materials (Jilin University), Ministry of Education, Department of Materials Science and Engineering, Jilin University, Changchun 130022, China
| | - Qing Jiang
- Key Laboratory of Automobile Materials (Jilin University), Ministry of Education, Department of Materials Science and Engineering, Jilin University, Changchun 130022, China
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19
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Sure R, Grimme S. Comprehensive Benchmark of Association (Free) Energies of Realistic Host-Guest Complexes. J Chem Theory Comput 2016; 11:3785-801. [PMID: 26574460 DOI: 10.1021/acs.jctc.5b00296] [Citation(s) in RCA: 153] [Impact Index Per Article: 19.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The S12L test set for supramolecular Gibbs free energies of association ΔGa (Grimme, S. Chem. Eur. J. 2012, 18, 9955-9964) is extended to 30 complexes (S30L), featuring more diverse interaction motifs, anions, and higher charges (-1 up to +4) as well as larger systems with up to 200 atoms. Various typical noncovalent interactions like hydrogen and halogen bonding, π-π stacking, nonpolar dispersion, and CH-π and cation-dipolar interactions are represented by "real" complexes. The experimental Gibbs free energies of association (ΔGa exp) cover a wide range from -0.7 to -24.7 kcal mol-1. In order to obtain a theoretical best estimate for ΔGa, we test various dispersion corrected density functionals in combination with quadruple-ζ basis sets for calculating the association energies in the gas phase. Further, modern semiempirical methods are employed to obtain the thermostatistical corrections from energy to Gibbs free energy, and the COSMO-RS model with several parametrizations as well as the SMD model are used to include solvation contributions. We investigate the effect of including counterions for the charged systems (S30L-CI), which is found to overall improve the results. Our best method combination consists of PW6B95-D3 (for neutral and charged systems) or ωB97X-D3 (for systems with counterions) energies, HF-3c thermostatistical corrections, and Gibbs free energies of solvation obtained with the COSMO-RS 2012 parameters for nonpolar solvents and 2013-fine for water. This combination gives a mean absolute deviation for ΔGa of only 2.4 kcal mol-1 (S30L) and 2.1 kcal mol-1 (S30L-CI), with a mean deviation of almost zero compared to experiment. Regarding the relative Gibbs free energies of association for the 13 pairs of complexes which share the same host, the correct trend in binding affinities could be reproduced except for two cases. The MAD compared to experiment amounts to 1.2 kcal mol-1, and the MD is almost zero. The best-estimate theoretical corrections are used to back-correct the experimental ΔGa values in order to get an empirical estimate for the "experimental", zero-point vibrational energy exclusive, gas phase binding energies. These are then utilized to benchmark the performance of various "lowcost" quantum chemical methods for noncovalent interactions in large systems. The performance of other common DFT methods as well as the use of semiempirical methods for structure optimizations is discussed.
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Affiliation(s)
- Rebecca Sure
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Universität Bonn Beringstr. 4, D-53115 Bonn, Germany
| | - Stefan Grimme
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Universität Bonn Beringstr. 4, D-53115 Bonn, Germany
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20
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Das S, Herrmann-Westendorf F, Schacher FH, Täuscher E, Ritter U, Dietzek B, Presselt M. Controlling Electronic Transitions in Fullerene van der Waals Aggregates via Supramolecular Assembly. ACS APPLIED MATERIALS & INTERFACES 2016; 8:21512-21521. [PMID: 27482718 DOI: 10.1021/acsami.6b06800] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Morphologies crucially determine the optoelectronic properties of organic semiconductors. Therefore, hierarchical and supramolecular approaches have been developed for targeted design of supramolecular ensembles of organic semiconducting molecules and performance improvement of, e.g., organic solar cells (OSCs), organic light emitting diodes (OLEDs), and organic field-effect transistors (OFETs). We demonstrate how the photonic properties of fullerenes change with the formation of van der Waals aggregates. We identified supramolecular structures with broadly tunable absorption in the visible spectral range and demonstrated how to form aggregates with targeted visible (vis) absorption. To control supramolecular structure formation, we functionalized the C60-backbone with polar (bis-polyethylene glycol malonate-MPEG) tails, thus yielding an amphiphilic fullerene derivative that self-assembles at interfaces. Aggregates of systematically tuned size were obtained from concentrating MPEGC60 in stearic acid matrices, while different supramolecular geometries were provoked via different thin film preparation methods, namely spin-casting and Langmuir-Blodgett (LB) deposition from an air-water interface. We demonstrated that differences in molecular orientation in LB films (C2v type point group aggregates) and spin-casting (stochastic aggregates) lead to huge changes in electronic absorption spectra due to symmetry and orientation reasons. These differences in the supramolecular structures, causing the different photonic properties of spin-cast and LB films, could be identified by means of quantum chemical calculations. Employing supramolecular assembly, we propounded that molecular symmetry in fullerene aggregates is extremely important in controlling vis absorption to harvest photons efficiently, when mixed with a donor molecule, thus improving active layer design and performance of OSCs.
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Affiliation(s)
- Saunak Das
- Institute of Physical Chemistry (IPC), Friedrich Schiller University Jena , Helmholtzweg 4, 07743 Jena, Germany
- Leibniz Institute of Photonic Technology (IPHT) , Albert-Einstein-Str. 9, 07745 Jena, Germany
| | - Felix Herrmann-Westendorf
- Institute of Physical Chemistry (IPC), Friedrich Schiller University Jena , Helmholtzweg 4, 07743 Jena, Germany
- Leibniz Institute of Photonic Technology (IPHT) , Albert-Einstein-Str. 9, 07745 Jena, Germany
| | - Felix H Schacher
- Institute of Organic Chemistry and Macromolecular Chemistry (IOMC), Friedrich Schiller University Jena , Humboldtstraße 10, Jena, 07743, Germany
- Jena Center for Soft Matter (JCSM), Friedrich Schiller University Jena , Philosophenweg 7, Jena, 07743, Germany
| | - Eric Täuscher
- Institute for Chemistry and Biotechnology, Ilmenau University of Technology , D-98684 Ilmenau, Germany
| | - Uwe Ritter
- Institute for Chemistry and Biotechnology, Ilmenau University of Technology , D-98684 Ilmenau, Germany
| | - Benjamin Dietzek
- Institute of Physical Chemistry (IPC), Friedrich Schiller University Jena , Helmholtzweg 4, 07743 Jena, Germany
- Leibniz Institute of Photonic Technology (IPHT) , Albert-Einstein-Str. 9, 07745 Jena, Germany
| | - Martin Presselt
- Institute of Physical Chemistry (IPC), Friedrich Schiller University Jena , Helmholtzweg 4, 07743 Jena, Germany
- Leibniz Institute of Photonic Technology (IPHT) , Albert-Einstein-Str. 9, 07745 Jena, Germany
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21
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Saidi WA, Norman P. Polarizabilities and van der WaalsC6coefficients of fullerenes from an atomistic electrodynamics model: Anomalous scaling with number of carbon atoms. J Chem Phys 2016; 145:024311. [DOI: 10.1063/1.4955193] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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DiLabio GA, Otero-de-la-Roza A. Noncovalent Interactions in Density Functional Theory. REVIEWS IN COMPUTATIONAL CHEMISTRY 2016. [DOI: 10.1002/9781119148739.ch1] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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23
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Grimme S, Hansen A, Brandenburg JG, Bannwarth C. Dispersion-Corrected Mean-Field Electronic Structure Methods. Chem Rev 2016; 116:5105-54. [DOI: 10.1021/acs.chemrev.5b00533] [Citation(s) in RCA: 799] [Impact Index Per Article: 99.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Stefan Grimme
- Mulliken Center for Theoretical
Chemistry, Universität Bonn, 53113 Bonn, Germany
| | - Andreas Hansen
- Mulliken Center for Theoretical
Chemistry, Universität Bonn, 53113 Bonn, Germany
| | | | - Christoph Bannwarth
- Mulliken Center for Theoretical
Chemistry, Universität Bonn, 53113 Bonn, Germany
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24
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Tao J, Rappe AM. Communication: Accurate higher-order van der Waals coefficients between molecules from a model dynamic multipole polarizability. J Chem Phys 2016; 144:031102. [DOI: 10.1063/1.4940397] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jianmin Tao
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Andrew M. Rappe
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA
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25
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Modrzejewski M, Chałasiński G, Szczęśniak MM. Range-Separated meta-GGA Functional Designed for Noncovalent Interactions. J Chem Theory Comput 2015; 10:4297-306. [PMID: 26588126 DOI: 10.1021/ct500707w] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Abstract
The accuracy of applying density functional theory to noncovalent interactions is hindered by errors arising from low-density regions of interaction-induced change in the density gradient, error compensation between correlation and exchange functionals, and dispersion double counting. A new exchange-correlation functional designed for noncovalent interactions is proposed to address these problems. The functional consists of the range-separated PBEsol exchange considered in two variants, pure and hybrid, and the semilocal correlation functional of Modrzejewski et al. (J. Chem. Phys. 2012, 137, 204121) designed with the constraint satisfaction technique to smoothly connect with a dispersion term. Two variants of dispersion correction are appended to the correlation functional: the atom-atom pairwise additive DFT-D3 model and the density-dependent many-body dispersion with self-consistent screening (MBD-rsSCS). From these building blocks, a set of four functionals is created to systematically examine the role of pure versus hybrid exchange and the underlying models for dispersion. The new functional is extensively tested on benchmark sets with diverse nature and size. Truly outstanding performance is demonstrated for water clusters of varying size, ionic hydrogen bonds, and thermochemistry of isodesmic n-alkane fragmentation reactions. The merits of each component of the new functional are discussed.
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Affiliation(s)
- Marcin Modrzejewski
- Faculty of Chemistry, University of Warsaw , 02-093 Warsaw, Pasteura 1, Poland
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26
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Li H, Chen W, Han X, Li L, Sun Q, Guo Z, Jia Y. Van der Waals Effects on semiconductor clusters. J Comput Chem 2015; 36:1919-27. [DOI: 10.1002/jcc.24028] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/27/2015] [Revised: 06/04/2015] [Accepted: 07/03/2015] [Indexed: 12/18/2022]
Affiliation(s)
- Haisheng Li
- School of Physics and Engineering, Henan University of Science and Technology; Luoyang City Henan Province 471023 China
- Center for Clean Energy and Quantum Structures, and School of Physics and Engineering, Zhengzhou University; Zhengzhou 450001 China
| | - Weiguang Chen
- Center for Clean Energy and Quantum Structures, and School of Physics and Engineering, Zhengzhou University; Zhengzhou 450001 China
- Department of Physics and Electronic Science; Zhengzhou Normal University; Zhengzhou 450044 China
| | - Xiaoyu Han
- Department of Chemistry; University College London; London WCIH 0AJ United Kingdom
| | - Liben Li
- School of Physics and Engineering, Henan University of Science and Technology; Luoyang City Henan Province 471023 China
| | - Qiang Sun
- Center for Clean Energy and Quantum Structures, and School of Physics and Engineering, Zhengzhou University; Zhengzhou 450001 China
| | - Zhengxiao Guo
- Department of Chemistry; University College London; London WCIH 0AJ United Kingdom
| | - Yu Jia
- Center for Clean Energy and Quantum Structures, and School of Physics and Engineering, Zhengzhou University; Zhengzhou 450001 China
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27
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Reilly AM, Tkatchenko A. van der Waals dispersion interactions in molecular materials: beyond pairwise additivity. Chem Sci 2015; 6:3289-3301. [PMID: 28757994 PMCID: PMC5514477 DOI: 10.1039/c5sc00410a] [Citation(s) in RCA: 121] [Impact Index Per Article: 13.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/03/2015] [Accepted: 03/29/2015] [Indexed: 12/25/2022] Open
Abstract
van der Waals (vdW) dispersion interactions are a key ingredient in the structure, stability, and response properties of many molecular materials and essential for us to be able to understand and design novel intricate molecular systems. Pairwise-additive models of vdW interactions are ubiquitous, but neglect their true quantum-mechanical many-body nature. In this perspective we focus on recent developments and applications of methods that can capture collective and many-body effects in vdW interactions. Highlighting a number of recent studies in this area, we demonstrate both the need for and usefulness of explicit many-body treatments for obtaining qualitative and quantitative accuracy for modelling molecular materials, with applications presented for small-molecule dimers, supramolecular host-guest complexes, and finally stability and polymorphism in molecular crystals.
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Affiliation(s)
- Anthony M Reilly
- The Cambridge Crystallographic Data Centre , 12 Union Road , Cambridge , CB2 1EZ , UK
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6 , Berlin 14195 , Germany . ; Tel: +49 3084134802
| | - Alexandre Tkatchenko
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6 , Berlin 14195 , Germany . ; Tel: +49 3084134802
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28
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Berland K, Cooper VR, Lee K, Schröder E, Thonhauser T, Hyldgaard P, Lundqvist BI. van der Waals forces in density functional theory: a review of the vdW-DF method. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2015; 78:066501. [PMID: 25978530 DOI: 10.1088/0034-4885/78/6/066501] [Citation(s) in RCA: 309] [Impact Index Per Article: 34.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/02/2023]
Abstract
A density functional theory (DFT) that accounts for van der Waals (vdW) interactions in condensed matter, materials physics, chemistry, and biology is reviewed. The insights that led to the construction of the Rutgers-Chalmers van der Waals density functional (vdW-DF) are presented with the aim of giving a historical perspective, while also emphasizing more recent efforts which have sought to improve its accuracy. In addition to technical details, we discuss a range of recent applications that illustrate the necessity of including dispersion interactions in DFT. This review highlights the value of the vdW-DF method as a general-purpose method, not only for dispersion bound systems, but also in densely packed systems where these types of interactions are traditionally thought to be negligible.
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Affiliation(s)
- Kristian Berland
- Centre for Materials Science and Nanotechnology, SMN, University of Oslo, NO-0318 Oslo, Norway. Microtechnology and Nanoscience, MC2, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
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29
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Heßelmann A, Korona T. Intermolecular symmetry-adapted perturbation theory study of large organic complexes. J Chem Phys 2015; 141:094107. [PMID: 25194364 DOI: 10.1063/1.4893990] [Citation(s) in RCA: 67] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Binding energies for the complexes of the S12L database by Grimme [Chem. Eur. J. 18, 9955 (2012)] were calculated using intermolecular symmetry-adapted perturbation theory combined with a density-functional theory description of the interacting molecules. The individual interaction energy decompositions revealed no particular change in the stabilisation pattern as compared to smaller dimer systems at equilibrium structures. This demonstrates that, to some extent, the qualitative description of the interaction of small dimer systems may be extrapolated to larger systems, a method that is widely used in force-fields in which the total interaction energy is decomposed into atom-atom contributions. A comparison of the binding energies with accurate experimental reference values from Grimme, the latter including thermodynamic corrections from semiempirical calculations, has shown a fairly good agreement to within the error range of the reference binding energies.
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Affiliation(s)
- Andreas Heßelmann
- Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg, Egerlandstr. 3, D-91058 Erlangen, Germany
| | - Tatiana Korona
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
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30
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Tao J, Yang J, Rappe AM. Dynamical screening of van der Waals interactions in nanostructured solids: Sublimation of fullerenes. J Chem Phys 2015; 142:164302. [DOI: 10.1063/1.4918761] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Affiliation(s)
- Jianmin Tao
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA
| | - Jing Yang
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA
| | - Andrew M. Rappe
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA
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31
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Hollett JW. Non-pairwise additivity of the leading-order dispersion energy. J Chem Phys 2015; 142:084105. [PMID: 25725710 DOI: 10.1063/1.4908134] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The leading-order (i.e., dipole-dipole) dispersion energy is calculated for one-dimensional (1D) and two-dimensional (2D) infinite lattices, and an infinite 1D array of infinitely long lines, of doubly occupied locally harmonic wells. The dispersion energy is decomposed into pairwise and non-pairwise additive components. By varying the force constant and separation of the wells, the non-pairwise additive contribution to the dispersion energy is shown to depend on the overlap of density between neighboring wells. As well separation is increased, the non-pairwise additivity of the dispersion energy decays. The different rates of decay for 1D and 2D lattices of wells is explained in terms of a Jacobian effect that influences the number of nearest neighbors. For an array of infinitely long lines of wells spaced 5 bohrs apart, and an inter-well spacing of 3 bohrs within a line, the non-pairwise additive component of the leading-order dispersion energy is -0.11 kJ mol(-1) well(-1), which is 7% of the total. The polarizability of the wells and the density overlap between them are small in comparison to that of the atomic densities that arise from the molecular density partitioning used in post-density-functional theory (DFT) damped dispersion corrections, or DFT-D methods. Therefore, the nonadditivity of the leading-order dispersion observed here is a conservative estimate of that in molecular clusters.
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Affiliation(s)
- Joshua W Hollett
- Department of Chemistry, University of Winnipeg, Winnipeg, Manitoba R3B 2G3, Canada and Department of Chemistry, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
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32
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Tao J, Fang Y, Hao P, Scuseria GE, Ruzsinszky A, Perdew JP. Van der Waals coefficients beyond the classical shell model. J Chem Phys 2015; 142:024312. [DOI: 10.1063/1.4905259] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Jianmin Tao
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA
| | - Yuan Fang
- Department of Physics and Engineering Physics, Tulane University, New Orleans, Louisiana 70118, USA
| | - Pan Hao
- Department of Physics and Engineering Physics, Tulane University, New Orleans, Louisiana 70118, USA
| | - G. E. Scuseria
- Department of Chemistry and Department of Physics and Astronomy, Rice University, Houston, Texas 77251-1892, USA and Department of Chemistry, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
| | - Adrienn Ruzsinszky
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - John P. Perdew
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA
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33
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Patra A, Xiao B, Perdew JP. Short-Range Cut-Off of the Summed-Up van der Waals Series: Rare-Gas Dimers. Top Curr Chem (Cham) 2015. [DOI: 10.1007/128_2015_625] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/22/2023]
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34
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Mezei PD, Csonka GI, Ruzsinszky A, Sun J. Accurate, Precise, and Efficient Theoretical Methods To Calculate Anion−π Interaction Energies in Model Structures. J Chem Theory Comput 2014; 11:360-71. [DOI: 10.1021/ct5008263] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Pál D. Mezei
- Department
of Inorganic and Analytical Chemistry, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
| | - Gábor I. Csonka
- Department
of Inorganic and Analytical Chemistry, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
| | - Adrienn Ruzsinszky
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, United States
| | - Jianwei Sun
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, United States
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35
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Tao J, Perdew JP. Communication: Non-additivity of van der Waals interactions between nanostructures. J Chem Phys 2014; 141:141101. [DOI: 10.1063/1.4897957] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jianmin Tao
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA
| | - John P. Perdew
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA
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36
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Yu F. Spin-Component-Scaled Double-Hybrid Density Functionals with Nonlocal van der Waals Correlations for Noncovalent Interactions. J Chem Theory Comput 2014; 10:4400-7. [DOI: 10.1021/ct500642x] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Feng Yu
- Department of Physics, School
of Science, Xi’an Technological University, No. 4 Jinhua North Road, Xi’an, Shaanxi 710032, China
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Shubina TE, Sharapa DI, Schubert C, Zahn D, Halik M, Keller PA, Pyne SG, Jennepalli S, Guldi DM, Clark T. Fullerene Van der Waals Oligomers as Electron Traps. J Am Chem Soc 2014; 136:10890-3. [DOI: 10.1021/ja505949m] [Citation(s) in RCA: 40] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Tatyana E. Shubina
- Computer-Chemie-Centrum
and Interdisciplinary Center for Molecular Materials, Department Chemie
und Pharmazie, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91052 Erlangen, Germany
| | - Dmitry I. Sharapa
- Computer-Chemie-Centrum
and Interdisciplinary Center for Molecular Materials, Department Chemie
und Pharmazie, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91052 Erlangen, Germany
| | - Christina Schubert
- Department
of Chemistry and Pharmacy and Interdisciplinary Center for Molecular
Materials, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Dirk Zahn
- Lehrstuhl
für Theoretische Chemie and Computer-Chemie-Centrum, Department
Chemie und Pharmazie, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91052 Erlangen, Germany
| | - Marcus Halik
- Organic Materials & Devices, Institute of Polymer Materials, Department of Materials Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Paul A. Keller
- School
of Chemistry, University of Wollongong, Wollongong, NSW 2522, Australia
| | - Stephen G. Pyne
- School
of Chemistry, University of Wollongong, Wollongong, NSW 2522, Australia
| | - Sreenu Jennepalli
- School
of Chemistry, University of Wollongong, Wollongong, NSW 2522, Australia
| | - Dirk M. Guldi
- Department
of Chemistry and Pharmacy and Interdisciplinary Center for Molecular
Materials, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Timothy Clark
- Computer-Chemie-Centrum
and Interdisciplinary Center for Molecular Materials, Department Chemie
und Pharmazie, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91052 Erlangen, Germany
- Centre for
Molecular Design, University of Portsmouth, Portsmouth PO1 2DY, United Kingdom
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Anoshkin IV, Talyzin AV, Nasibulin AG, Krasheninnikov AV, Jiang H, Nieminen RM, Kauppinen EI. Coronene Encapsulation in Single-Walled Carbon Nanotubes: Stacked Columns, Peapods, and Nanoribbons. Chemphyschem 2014; 15:1660-5. [DOI: 10.1002/cphc.201301200] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/17/2013] [Indexed: 11/09/2022]
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Gobre VV, Tkatchenko A. Scaling laws for van der Waals interactions in nanostructured materials. Nat Commun 2014; 4:2341. [PMID: 23955481 PMCID: PMC3753541 DOI: 10.1038/ncomms3341] [Citation(s) in RCA: 148] [Impact Index Per Article: 14.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/17/2013] [Accepted: 07/19/2013] [Indexed: 12/24/2022] Open
Abstract
Van der Waals interactions have a fundamental role in biology, physics and chemistry, in particular in the self-assembly and the ensuing function of nanostructured materials. Here we utilize an efficient microscopic method to demonstrate that van der Waals interactions in nanomaterials act at distances greater than typically assumed, and can be characterized by different scaling laws depending on the dimensionality and size of the system. Specifically, we study the behaviour of van der Waals interactions in single-layer and multilayer graphene, fullerenes of varying size, single-wall carbon nanotubes and graphene nanoribbons. As a function of nanostructure size, the van der Waals coefficients follow unusual trends for all of the considered systems, and deviate significantly from the conventionally employed pairwise-additive picture. We propose that the peculiar van der Waals interactions in nanostructured materials could be exploited to control their self-assembly. Van der Waals interactions have a large influence on phenomena that occur at short-length scales. Gobre et al. demonstrate that van der Waals interactions in low-dimensional materials act at very large distances, and can significantly influence the self-assembly of nanostructured systems.
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Affiliation(s)
- Vivekanand V Gobre
- Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany
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Kauczor J, Norman P, Saidi WA. Non-additivity of polarizabilities and van der Waals C6 coefficients of fullerenes. J Chem Phys 2013; 138:114107. [DOI: 10.1063/1.4795158] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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Sun J, Haunschild R, Xiao B, Bulik IW, Scuseria GE, Perdew JP. Semilocal and hybrid meta-generalized gradient approximations based on the understanding of the kinetic-energy-density dependence. J Chem Phys 2013; 138:044113. [DOI: 10.1063/1.4789414] [Citation(s) in RCA: 145] [Impact Index Per Article: 13.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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