1
|
Wang Y, Ni Z, Neese F, Li W, Guo Y, Li S. Cluster-in-Molecule Method Combined with the Domain-Based Local Pair Natural Orbital Approach for Electron Correlation Calculations of Periodic Systems. J Chem Theory Comput 2022; 18:6510-6521. [PMID: 36240189 DOI: 10.1021/acs.jctc.2c00412] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The cluster-in-molecule (CIM) method was extended to systems with periodic boundary conditions (PBCs) in a previous work (PBC-CIM) [J. Chem. Theory Comput.2019, 15, 2933], which is able to compute the electronic structures of periodic systems at second-order Møller-Plesset perturbation theory (MP2) and coupled cluster singles and doubles (CCSD) levels. However, the high computational costs of CCSD with respect to the size of clusters limit the usage of PBC-CIM to crystals with small or medium unit cells. In this work, we further develop the PBC-CIM method by employing the domain-based local pair natural orbital (DLPNO) methods for the electron correlation calculations of clusters to reduce the computational costs. The combined approach allows CCSD with perturbative triples, denoted as CCSD(T), to be computationally available for accurate descriptions of periodic systems. The distant-pair correction is also implemented to improve the accuracy of PBC-CIM. As in the molecular cases, the distant pair correction significantly improves the accuracy of various PBC-CIM methods with few additional costs. The PBC-CIM-DLPNO-CCSD(T) approach has been applied to investigate the optimized lattice parameter of the cubic LiCl crystal and two adsorption problems (CO on the NaCl(100) surface and H2O on the h-BN surface). The results show that the CIM-DLPNO-CCSD(T) method offers accurate and efficient descriptions for the studied systems. Another application to the cohesive energy of the acetic acid crystal reveals that large basis sets are necessary for reliable calculations on the cohesive energies of molecular crystals.
Collapse
Affiliation(s)
- Yuqi Wang
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing210023, P. R. China
| | - Zhigang Ni
- College of Material, Chemistry and Chemical Engineering, Key Laboratory of Organosilicon Chemistry and Material Technology of Ministry of Education, Hangzhou Normal University, Hangzhou311121, P. R. China
| | - Frank Neese
- Max Planck Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, Mülheim an der RuhrD-45470, Germany
| | - Wei Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing210023, P. R. China
| | - Yang Guo
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong266237, P. R. China
| | - Shuhua Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing210023, P. R. China
| |
Collapse
|
2
|
Marquis E, Cutini M, Anasori B, Rosenkranz A, Righi MC. Nanoscale MXene Interlayer and Substrate Adhesion for Lubrication: A Density Functional Theory Study. ACS APPLIED NANO MATERIALS 2022; 5:10516-10527. [PMID: 36062064 PMCID: PMC9425433 DOI: 10.1021/acsanm.2c01847] [Citation(s) in RCA: 9] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/28/2022] [Accepted: 07/25/2022] [Indexed: 05/08/2023]
Abstract
Understanding the interlayer interaction at the nanoscale in two-dimensional (2D) transition metal carbides and nitrides (MXenes) is important to improve their exfoliation/delamination process and application in (nano)-tribology. The layer-substrate interaction is also essential in (nano)-tribology as effective solid lubricants should be resistant against peeling-off during rubbing. Previous computational studies considered MXenes' interlayer coupling with oversimplified, homogeneous terminations while neglecting the interaction with underlying substrates. In our study, Ti-based MXenes with both homogeneous and mixed terminations are modeled using density functional theory (DFT). An ad hoc modified dispersion correction scheme is used, capable of reproducing the results obtained from a higher level of theory. The nature of the interlayer interactions, comprising van der Waals, dipole-dipole, and hydrogen bonding, is discussed along with the effects of MXene sheet's thickness and C/N ratio. Our results demonstrate that terminations play a major role in regulating MXenes' interlayer and substrate adhesion to iron and iron oxide and, therefore, lubrication, which is also affected by an external load. Using graphene and MoS2 as established references, we verify that MXenes' tribological performance as solid lubricants can be significantly improved by avoiding -OH and -F terminations, which can be done by controlling terminations via post-synthesis processing.
Collapse
Affiliation(s)
- Edoardo Marquis
- Department
of Physics and Astronomy, Alma Mater Studiorum
− University of Bologna, Viale Berti Pichat 6/2, Bologna 40127, Italy
| | - Michele Cutini
- Department
of Physics and Astronomy, Alma Mater Studiorum
− University of Bologna, Viale Berti Pichat 6/2, Bologna 40127, Italy
| | - Babak Anasori
- Department
of Mechanical and Energy Engineering, and Integrated Nanosystems Development
Institute, Indiana University-Purdue University
Indianapolis, Indianapolis, Indiana 46202, United States
| | - Andreas Rosenkranz
- Department
of Chemical Engineering, Biotechnology and Materials, University of Chile, Avenida Beaucheff 851, Santiago de Chile 8370456, Chile
| | - Maria Clelia Righi
- Department
of Physics and Astronomy, Alma Mater Studiorum
− University of Bologna, Viale Berti Pichat 6/2, Bologna 40127, Italy
| |
Collapse
|
3
|
Christlmaier EM, Kats D, Alavi A, Usvyat D. Full Configuration Interaction Quantum Monte Carlo treatment of fragments embedded in a periodic mean field. J Chem Phys 2022; 156:154107. [DOI: 10.1063/5.0084040] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present an embedded fragment approach for high-level quantum chemical calculations on local features in periodic systems. The fragment is defined as a set of localized orbitals (occupied and virtual) corresponding to a converged periodic Hartree-Fock solution. These orbitals serve as the basis for the in-fragment post-Hartree Fock treatment. The embedding field for the fragment, consisting of the Coulomb and exchange potential from the rest of the crystal, is included in the fragment's one-electron Hamiltonian. As an application of the embedded fragment approach we investigate the performanceof full configuration interaction quantum Monte Carlo (FCIQMC) with the adaptive shift. As the orbital choice we use the natural orbitals from the distinguishable cluster method with singles and doubles. FCIQMC is a stochastic approximation to the full CI method and can be routinely applied to much larger active spaces than the latter. This makes this method especially attractive in the context of open shell defects in crystals, where fragments of adequate size can be ratherlarge. As a test case we consider dissociation of a fluorine atom from a fluorographane surface. This process poses a challenge for high-level electronic structure models as both the static and dynamic correlations are essential here. Furthermore the active space for an adequate fragment (32 electrons in 173 orbitals) is already quite large even for FCIQMC. Despite this, FCIQMC delivers accurate dissociation and total energies.
Collapse
Affiliation(s)
| | - Daniel Kats
- Max-Planck-Institute for Solid State Research, Germany
| | - Ali Alavi
- Max-Planck-Institute for Solid State Research, Germany
| | - Denis Usvyat
- Institute of Chemistry, Humboldt University of Berlin, Germany
| |
Collapse
|
4
|
Mullan T, Maschio L, Saalfrank P, Usvyat D. Reaction barriers on non-conducting surfaces beyond periodic local MP2: Diffusion of hydrogen on \ce{\alpha-Al2O3}(0001) as a test case. J Chem Phys 2022; 156:074109. [DOI: 10.1063/5.0082805] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Lorenzo Maschio
- Dipartimento di Chimica, Università degli Studi di Torino, Italy
| | - Peter Saalfrank
- Institut für Chemie, Universität Potsdam Institut für Chemie, Germany
| | - Denis Usvyat
- Institute of Chemistry, Humboldt University of Berlin, Germany
| |
Collapse
|
5
|
Lee J, Feng X, Cunha LA, Gonthier JF, Epifanovsky E, Head-Gordon M. Approaching the basis set limit in Gaussian-orbital-based periodic calculations with transferability: Performance of pure density functionals for simple semiconductors. J Chem Phys 2021; 155:164102. [PMID: 34717349 PMCID: PMC8556001 DOI: 10.1063/5.0069177] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/29/2021] [Accepted: 10/05/2021] [Indexed: 12/14/2022] Open
Abstract
Simulating solids with quantum chemistry methods and Gaussian-type orbitals (GTOs) has been gaining popularity. Nonetheless, there are few systematic studies that assess the basis set incompleteness error (BSIE) in these GTO-based simulations over a variety of solids. In this work, we report a GTO-based implementation for solids and apply it to address the basis set convergence issue. We employ a simple strategy to generate large uncontracted (unc) GTO basis sets that we call the unc-def2-GTH sets. These basis sets exhibit systematic improvement toward the basis set limit as well as good transferability based on application to a total of 43 simple semiconductors. Most notably, we found the BSIE of unc-def2-QZVP-GTH to be smaller than 0.7 mEh per atom in total energies and 20 meV in bandgaps for all systems considered here. Using unc-def2-QZVP-GTH, we report bandgap benchmarks of a combinatorially designed meta-generalized gradient approximation (mGGA) functional, B97M-rV, and show that B97M-rV performs similarly (a root-mean-square-deviation of 1.18 eV) to other modern mGGA functionals, M06-L (1.26 eV), MN15-L (1.29 eV), and Strongly Constrained and Appropriately Normed (SCAN) (1.20 eV). This represents a clear improvement over older pure functionals such as local density approximation (1.71 eV) and Perdew-Burke-Ernzerhof (PBE) (1.49 eV), although all these mGGAs are still far from being quantitatively accurate. We also provide several cautionary notes on the use of our uncontracted bases and on future research on GTO basis set development for solids.
Collapse
Affiliation(s)
- Joonho Lee
- Department of Chemistry, Columbia University, New York, New York 10027,, USA
| | | | - Leonardo A. Cunha
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, USA
| | - Jérôme F. Gonthier
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, USA
| | | | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, USA
| |
Collapse
|
6
|
Hansen AS, Aurbakken E, Pedersen TB. Smooth potential-energy surfaces in fragmentation-based local correlation methods for periodic systems. Mol Phys 2021. [DOI: 10.1080/00268976.2021.1896046] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- A. S. Hansen
- Department of Chemistry, Hylleraas Centre for Quantum Molecular Sciences, University of Oslo, Oslo, Norway
| | - E. Aurbakken
- Department of Chemistry, Hylleraas Centre for Quantum Molecular Sciences, University of Oslo, Oslo, Norway
| | - T. B. Pedersen
- Department of Chemistry, Hylleraas Centre for Quantum Molecular Sciences, University of Oslo, Oslo, Norway
| |
Collapse
|
7
|
Cutini M, Maschio L, Ugliengo P. Exfoliation Energy of Layered Materials by DFT-D: Beware of Dispersion! J Chem Theory Comput 2020; 16:5244-5252. [PMID: 32609519 PMCID: PMC8009511 DOI: 10.1021/acs.jctc.0c00149] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
In this work, we have computed the exfoliation energy (the energy required to separate a single layer from the bulk structure), the interlayer distance, and the thermodynamic state functions for representative layered inorganic minerals such as Brucite, Portlandite, and Kaolinite, while leaving the more classical 2D transition-metal dichalcogenides (like MoS2) for future work. Such materials are interesting for several applications in the field of adsorption and in prebiotic chemistry. Their peculiar features are directly controlled by the exfoliation energy. In materials without cations/anions linking different layers, the interactions keeping the layers together are of weak nature, mainly dispersion London interactions and hydrogen bonds, somehow challenging to deal with computationally. We used Hartree-Fock (HF) and density functional theory (DFT) approaches focusing on the role of dispersion forces using the popular and widespread Grimme's pairwise dispersion schemes (-D2 and -D3) and, as a reference method, the periodic MP2 approach based on localized orbitals (LMP2). The results are highly dependent on the choice of the scheme adopted to account for dispersion interactions. D2 and D3 schemes combined with either HF or DFT lead to overestimated exfoliation energies (about 2.5 and 1.7 times higher than LMP2 data for Brucite/Portlandite and Kaolinite) and underestimated interlayer distances (by about 3.5% for Brucite/Portlandite). The reason is that D2 and D3 corrections are based on neutral atomic parameters for each chemical element which, instead, behave as cations in the considered layered material (Mg, Ca, and Al), causing overattractive interaction between layers. More sophisticated dispersion corrections methods, like those based on nonlocal vdW functionals, many body dispersion model, and exchange-hole dipole moment not relying on atom-typing, are, in principle, better suited to describe the London interaction of ionic species. Nonetheless, we demonstrate that good results can be achieved also within the simpler D2 and D3 schemes, in agreement with previous literature suggestions, by adopting the dispersion coefficients of the preceding noble gas for the ionic species, leading to energetics in good agreement with LMP2 and structures closer to the experiments.
Collapse
Affiliation(s)
- Michele Cutini
- Department of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 5-7, 10125 Turin, Italy
| | - Lorenzo Maschio
- Department of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 5-7, 10125 Turin, Italy
| | - Piero Ugliengo
- Department of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 5-7, 10125 Turin, Italy
| |
Collapse
|
8
|
Sajid A, Ford MJ, Reimers JR. Single-photon emitters in hexagonal boron nitride: a review of progress. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2020; 83:044501. [PMID: 31846956 DOI: 10.1088/1361-6633/ab6310] [Citation(s) in RCA: 41] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/13/2023]
Abstract
This report summarizes progress made in understanding properties such as zero-phonon-line energies, emission and absorption polarizations, electron-phonon couplings, strain tuning and hyperfine coupling of single photon emitters in hexagonal boron nitride. The primary aims of this research are to discover the chemical nature of the emitting centres and to facilitate deployment in device applications. Critical analyses of the experimental literature and data interpretation, as well as theoretical approaches used to predict properties, are made. In particular, computational and theoretical limitations and challenges are discussed, with a range of suggestions made to overcome these limitations, striving to achieve realistic predictions concerning the nature of emitting centers. A symbiotic relationship is required in which calculations focus on properties that can easily be measured, whilst experiments deliver results in a form facilitating mass-produced calculations.
Collapse
Affiliation(s)
- A Sajid
- University of Technology Sydney, School of Mathematical and Physical Sciences, Ultimo, New South Wales 2007, Australia. CAMD, Department of Physics, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark. Department of Physics, GC University Faisalabad, Allama Iqbal Road, 38000 Faisalabad, Pakistan. Author to whom any correspondence should be addressed
| | | | | |
Collapse
|
9
|
Hansen AS, Baardsen G, Rebolini E, Maschio L, Pedersen TB. Representation of the virtual space in extended systems – a correlation energy convergence study. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1733118] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- A. S. Hansen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
| | - G. Baardsen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
| | - E. Rebolini
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
- Institut Laue Langevin, Grenoble, France
| | - L. Maschio
- Dipartimento di Chimica, Universitá di Torino, Torino, Italy
| | - T. B. Pedersen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
| |
Collapse
|
10
|
Henry L, Svitlyk V, Mezouar M, Sifré D, Garbarino G, Ceppatelli M, Serrano-Ruiz M, Peruzzini M, Datchi F. Anisotropic thermal expansion of black phosphorus from nanoscale dynamics of phosphorene layers. NANOSCALE 2020; 12:4491-4497. [PMID: 32031199 DOI: 10.1039/c9nr09218h] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Black phosphorus (bP) is a crystalline material which can be seen as an ordered stacking of two-dimensional layers, referred to as phosphorene. The knowledge of the linear thermal expansion coefficients (LTECs) of bP is of great interest in the field of 2D materials for a better understanding of the anisotropic thermal properties and exfoliation mechanism of this material. Despite several theoretical and experimental studies, important uncertainties remain in the determination of the LTECs of bP. Here, we report accurate thermal expansion measurements along the three crystallographic axes using in situ high temperature X-ray diffraction. From the progressive reduction of the diffracted intensities with temperature, we monitored the loss of the crystal structure of bP across the investigated temperature range, evidencing two thermal expansion regimes at temperature below and above 706 K. Below 706 K, a strong out-of-plane anisotropy can be observed, while at temperatures above 706 K a larger thermal expansion occurs along the a crystallographic direction. From our data and by taking advantage of ab initio optimization, we propose a detailed anisotropic thermal expansion mechanism of bP, which leads to an inter- and intra-layer destabilization. An interpretation of it, based on the high T perturbation of the stabilizing sp orbital mixing effect, is provided, consistent with the high pressure data.
Collapse
Affiliation(s)
- Laura Henry
- European Synchrotron Radiation Facility (ESRF), 71 Avenue des Martyrs, Grenoble, France.
| | | | | | | | | | | | | | | | | |
Collapse
|
11
|
Kuklin MS, Maschio L, Usvyat D, Kraus F, Karttunen AJ. Evolutionary Algorithm-Based Crystal Structure Prediction for Copper(I) Fluoride. Chemistry 2019; 25:11528-11537. [PMID: 31290174 DOI: 10.1002/chem.201902314] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/20/2019] [Indexed: 11/11/2022]
Abstract
Despite numerous experimental studies since 1824, the binary copper(I) fluoride remains unknown. A crystal structure prediction has been carried out for CuF using the USPEX evolutionary algorithm and a dispersion-corrected hybrid density functional method. In total about 5000 hypothetical structures were investigated. The energetics of the predicted structures were also counter-checked with local second-order Møller-Plesset perturbation theory. Herein 39 new hypothetical copper(I) fluoride structures are reported that are lower in energy compared to the previously predicted cinnabar-type structure. Cuprophilic Cu-Cu interactions are present in all the low-energy structures, leading to ordered Cu substructures such as helical or zig-zag-type Cu-Cu motifs. The lowest-energy structure adopts a trigonal crystal structure with space group P31 21. From an electronic point of view, the predicted CuF modification is a semiconductor with an indirect band gap of 2.3 eV.
Collapse
Affiliation(s)
- Mikhail S Kuklin
- Department of Chemistry and Materials Science, Aalto University, 00076, Aalto, Finland
| | - Lorenzo Maschio
- Dipartimento di Chimica, C3S Centre, NIS Centre, Università di Torino, Via P. Giuria 5, 10125, Torino, Italy
| | - Denis Usvyat
- Institut für Chemie, Humboldt-Universität zu Berlin, Brook-Taylor-Str. 2, 12489, Berlin, Germany
| | - Florian Kraus
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Strasse 4, 35032, Marburg, Germany
| | - Antti J Karttunen
- Department of Chemistry and Materials Science, Aalto University, 00076, Aalto, Finland
| |
Collapse
|
12
|
Mihm TN, McIsaac AR, Shepherd JJ. An optimized twist angle to find the twist-averaged correlation energy applied to the uniform electron gas. J Chem Phys 2019; 150:191101. [PMID: 31117769 DOI: 10.1063/1.5091445] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023] Open
Abstract
We explore an alternative to twist averaging in order to obtain more cost-effective and accurate extrapolations to the thermodynamic limit (TDL) for coupled cluster doubles (CCD) calculations. We seek a single twist angle to perform calculations at, instead of integrating over many random points or a grid. We introduce the concept of connectivity, a quantity derived from the nonzero four-index integrals in an MP2 calculation. This allows us to find a special twist angle that provides appropriate connectivity in the energy equation, which yields results comparable to full twist averaging. This special twist angle effectively makes the finite electron number CCD calculation represent the TDL more accurately, reducing the cost of twist-averaged CCD over Ns twist angles from Ns CCD calculations to Ns MP2 calculations plus one CCD calculation.
Collapse
Affiliation(s)
- Tina N Mihm
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242-1002, USA
| | - Alexandra R McIsaac
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - James J Shepherd
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242-1002, USA
| |
Collapse
|
13
|
Wang Y, Ni Z, Li W, Li S. Cluster-in-Molecule Local Correlation Approach for Periodic Systems. J Chem Theory Comput 2019; 15:2933-2943. [DOI: 10.1021/acs.jctc.8b01200] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Yuqi Wang
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Zhigang Ni
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Wei Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Shuhua Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
| |
Collapse
|
14
|
Mattsson S, Paulus B, Redeker FA, Beckers H, Riedel S, Müller C. The Crystal Structure of α‐F
2
: Solving a 50 Year Old Puzzle Computationally. Chemistry 2019; 25:3318-3324. [DOI: 10.1002/chem.201805300] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2018] [Indexed: 11/11/2022]
Affiliation(s)
- Stefan Mattsson
- Institut für Chemie und BiochemieFreie Universitat Berlin Takustraße 3 14195 Berlin Germany
| | - Beate Paulus
- Institut für Chemie und BiochemieFreie Universitat Berlin Takustraße 3 14195 Berlin Germany
| | - Frenio A. Redeker
- Institut für Chemie und BiochemieFreie Universität Berlin Fabeckstr. 34–36 14195 Berlin Germany
| | - Helmut Beckers
- Institut für Chemie und BiochemieFreie Universität Berlin Fabeckstr. 34–36 14195 Berlin Germany
| | - Sebastian Riedel
- Institut für Chemie und BiochemieFreie Universität Berlin Fabeckstr. 34–36 14195 Berlin Germany
| | - Carsten Müller
- Institut für Chemie und BiochemieFreie Universitat Berlin Takustraße 3 14195 Berlin Germany
| |
Collapse
|
15
|
Schäfer T, Ramberger B, Kresse G. Quartic scaling MP2 for solids: A highly parallelized algorithm in the plane wave basis. J Chem Phys 2018; 146:104101. [PMID: 28298118 DOI: 10.1063/1.4976937] [Citation(s) in RCA: 33] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a low-complexity algorithm to calculate the correlation energy of periodic systems in second-order Møller-Plesset (MP2) perturbation theory. In contrast to previous approximation-free MP2 codes, our implementation possesses a quartic scaling, O(N4), with respect to the system size N and offers an almost ideal parallelization efficiency. The general issue that the correlation energy converges slowly with the number of basis functions is eased by an internal basis set extrapolation. The key concept to reduce the scaling is to eliminate all summations over virtual orbitals which can be elegantly achieved in the Laplace transformed MP2 formulation using plane wave basis sets and fast Fourier transforms. Analogously, this approach could allow us to calculate second order screened exchange as well as particle-hole ladder diagrams with a similar low complexity. Hence, the presented method can be considered as a step towards systematically improved correlation energies.
Collapse
Affiliation(s)
- Tobias Schäfer
- Faculty of Physics and Center for Computational Materials Science, University of Vienna, Sensengasse 8/12, A-1090 Vienna, Austria
| | - Benjamin Ramberger
- Faculty of Physics and Center for Computational Materials Science, University of Vienna, Sensengasse 8/12, A-1090 Vienna, Austria
| | - Georg Kresse
- Faculty of Physics and Center for Computational Materials Science, University of Vienna, Sensengasse 8/12, A-1090 Vienna, Austria
| |
Collapse
|
16
|
Rebolini E, Baardsen G, Hansen AS, Leikanger KR, Pedersen TB. Divide-Expand-Consolidate Second-Order Møller-Plesset Theory with Periodic Boundary Conditions. J Chem Theory Comput 2018; 14:2427-2438. [PMID: 29554431 DOI: 10.1021/acs.jctc.8b00021] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We present a generalization of the divide-expand-consolidate (DEC) framework for local coupled-cluster calculations to periodic systems and test it at the second-order Møller-Plesset (MP2) level of theory. For simple model systems with periodicity in one, two, and three dimensions, comparisons with extrapolated molecular calculations and the local MP2 implementation in the Cryscor program show that the correlation energy errors of the extended DEC (X-DEC) algorithm can be controlled through a single parameter, the fragment optimization threshold. Two computational bottlenecks are identified: the size of the virtual orbital spaces and the number of pair fragments required to achieve a given accuracy of the correlation energy. For the latter, we propose an affordable algorithm based on cubic splines interpolation of a limited number of pair-fragment interaction energies to determine a pair cutoff distance in accordance with the specified fragment optimization threshold.
Collapse
Affiliation(s)
- Elisa Rebolini
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry , University of Oslo , P.O. Box 1033 Blindern, N-0315 Oslo , Norway
| | - Gustav Baardsen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry , University of Oslo , P.O. Box 1033 Blindern, N-0315 Oslo , Norway
| | - Audun Skau Hansen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry , University of Oslo , P.O. Box 1033 Blindern, N-0315 Oslo , Norway
| | - Karl R Leikanger
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry , University of Oslo , P.O. Box 1033 Blindern, N-0315 Oslo , Norway
| | - Thomas Bondo Pedersen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry , University of Oslo , P.O. Box 1033 Blindern, N-0315 Oslo , Norway
| |
Collapse
|
17
|
Schäfer T, Ramberger B, Kresse G. Laplace transformed MP2 for three dimensional periodic materials using stochastic orbitals in the plane wave basis and correlated sampling. J Chem Phys 2018; 148:064103. [PMID: 29448777 DOI: 10.1063/1.5016100] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We present an implementation and analysis of a stochastic high performance algorithm to calculate the correlation energy of three-dimensional periodic systems in second-order Møller-Plesset perturbation theory (MP2). In particular we measure the scaling behavior of the sample variance and probe whether this stochastic approach is competitive if accuracies well below 1 meV per valence orbital are required, as it is necessary for calculations of adsorption, binding, or surface energies. The algorithm is based on the Laplace transformed MP2 (LTMP2) formulation in the plane wave basis. The time-dependent Hartree-Fock orbitals, appearing in the LTMP2 formulation, are stochastically rotated in the occupied and unoccupied Hilbert space. This avoids a full summation over all combinations of occupied and unoccupied orbitals, as inspired by the work of Neuhauser, Rabani, and Baer [J. Chem. Theory Comput. 9, 24 (2013)]. Additionally, correlated sampling is introduced, accelerating the statistical convergence significantly.
Collapse
Affiliation(s)
- Tobias Schäfer
- Faculty of Physics and Center for Computational Materials Science, University of Vienna, Sensengasse 8/12, A-1090 Vienna, Austria
| | - Benjamin Ramberger
- Faculty of Physics and Center for Computational Materials Science, University of Vienna, Sensengasse 8/12, A-1090 Vienna, Austria
| | - Georg Kresse
- Faculty of Physics and Center for Computational Materials Science, University of Vienna, Sensengasse 8/12, A-1090 Vienna, Austria
| |
Collapse
|
18
|
Reimers JR, Sajid A, Kobayashi R, Ford MJ. Understanding and Calibrating Density-Functional-Theory Calculations Describing the Energy and Spectroscopy of Defect Sites in Hexagonal Boron Nitride. J Chem Theory Comput 2018; 14:1602-1613. [DOI: 10.1021/acs.jctc.7b01072] [Citation(s) in RCA: 53] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jeffrey R. Reimers
- International Centre for Quantum and Molecular Structures and Department of Physics, Shanghai University, Shanghai 200444, China
- School of Mathematical and Physical Sciences, University of Technology Sydney, Ultimo, New South Wales 2007, Australia
| | - A. Sajid
- School of Mathematical and Physical Sciences, University of Technology Sydney, Ultimo, New South Wales 2007, Australia
- Department of Physics, GC University Faisalabad, Allama Iqbal Road, 38000 Faisalabad, Pakistan
| | - Rika Kobayashi
- National Computational Infrastructure, The Australian National University, Canberra, Austrailian Capital Territory 2600, Australia
| | - Michael J. Ford
- School of Mathematical and Physical Sciences, University of Technology Sydney, Ultimo, New South Wales 2007, Australia
| |
Collapse
|
19
|
Usvyat D, Maschio L, Schütz M. Periodic and fragment models based on the local correlation approach. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2018. [DOI: 10.1002/wcms.1357] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- Denis Usvyat
- Institut für ChemieHumboldt‐Universität zu BerlinBerlinGermany
| | - Lorenzo Maschio
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) CentreUniversità di TorinoTorinoItaly
| | - Martin Schütz
- Institut für ChemieHumboldt‐Universität zu BerlinBerlinGermany
| |
Collapse
|
20
|
Sansone G, Karttunen AJ, Usvyat D, Schütz M, Brandenburg JG, Maschio L. On the exfoliation and anisotropic thermal expansion of black phosphorus. Chem Commun (Camb) 2018; 54:9793-9796. [DOI: 10.1039/c8cc04855j] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
Strong anisotropic thermal expansion of solid black phosphorus is predicted by means of accurate dispersion-corrected density functional theory calculations.
Collapse
Affiliation(s)
- Giuseppe Sansone
- Dipartimento di Chimica and NIS Centre
- Università di Torino
- I-10125 Torino
- Italy
| | - Antti J. Karttunen
- Department of Chemistry and Materials Science
- Aalto University
- FI-00076 Aalto
- Finland
| | - Denis Usvyat
- Institut für Chemie
- Humboldt-Universität zu Berlin
- Berlin
- Germany
| | - Martin Schütz
- Institut für Chemie
- Humboldt-Universität zu Berlin
- Berlin
- Germany
| | | | - Lorenzo Maschio
- Dipartimento di Chimica and NIS Centre
- Università di Torino
- I-10125 Torino
- Italy
| |
Collapse
|
21
|
Schütz M, Maschio L, Karttunen AJ, Usvyat D. Exfoliation Energy of Black Phosphorus Revisited: A Coupled Cluster Benchmark. J Phys Chem Lett 2017; 8:1290-1294. [PMID: 28248525 DOI: 10.1021/acs.jpclett.7b00253] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Black phosphorus (black-P) consists of phosphorene sheets, stacked by van der Waals dispersion. In a recent study based on periodic local second-order Møller-Plesset perturbation theory (LMP2) with higher-order corrections evaluated on finite clusters, we obtained a value of -151 meV/atom for the exfoliation energy. This is almost twice as large as another recent theoretical result (around -80 meV/atom) obtained with quantum Monte Carlo (QMC). Here, we revisit this system on the basis of the recently implemented, periodically embedded ring coupled cluster (rCCD) model instead of LMP2. Higher-order coupled cluster corrections on top of rCCD are obtained from finite clusters by utilizing our new "unit-cell-in-cluster" scheme. Our new value of -92 meV/atom is noticeably lower than that based on LMP2 and in reasonably close agreement with the QMC result. However, in contrast to QMC, no strong effect from the second-neighbor and farther layers in black-P are observed in our calculations.
Collapse
Affiliation(s)
- Martin Schütz
- Institut für Chemie, Humboldt-Universität zu Berlin , Brook-Taylor-Strasse 2, D-12489 Berlin, Germany
| | - Lorenzo Maschio
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) Centre, Università di Torino , via Giuria 5, I-10125 Torino, Italy
| | - Antti J Karttunen
- Department of Chemistry and Materials Science, Aalto University , Kemistintie 1, 02150 Espoo, Finland
| | - Denis Usvyat
- Institut für Chemie, Humboldt-Universität zu Berlin , Brook-Taylor-Strasse 2, D-12489 Berlin, Germany
| |
Collapse
|
22
|
Karttunen AJ, Usvyat D, Schütz M, Maschio L. Dispersion interactions in silicon allotropes. Phys Chem Chem Phys 2017; 19:7699-7707. [DOI: 10.1039/c6cp08873b] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Periodic local-MP2 and DFT-D3 calculations show that dispersion interactions in silicon allotropes can change the energy ordering significantly.
Collapse
Affiliation(s)
- Antti J. Karttunen
- Department of Chemistry and Materials Science
- Aalto University
- FI-00076 Aalto
- Finland
| | - Denis Usvyat
- Institut für Chemie
- Humboldt Universität zu Berlin
- D-12489 Berlin
- Germany
| | - Martin Schütz
- Institut für Chemie
- Humboldt Universität zu Berlin
- D-12489 Berlin
- Germany
| | - Lorenzo Maschio
- Dipartimento di Chimica, and NIS (Nanostructured Interfaces and Surfaces) centre
- Universitá di Torino
- Torino I-10125
- Italy
| |
Collapse
|
23
|
Kats D. Speeding up local correlation methods: System-inherent domains. J Chem Phys 2016; 145:014103. [DOI: 10.1063/1.4954963] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Daniel Kats
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| |
Collapse
|
24
|
Cutini M, Civalleri B, Corno M, Orlando R, Brandenburg JG, Maschio L, Ugliengo P. Assessment of Different Quantum Mechanical Methods for the Prediction of Structure and Cohesive Energy of Molecular Crystals. J Chem Theory Comput 2016; 12:3340-52. [DOI: 10.1021/acs.jctc.6b00304] [Citation(s) in RCA: 66] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Michele Cutini
- Department
of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 7, 10125 Turin, Italy
| | - Bartolomeo Civalleri
- Department
of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 7, 10125 Turin, Italy
| | - Marta Corno
- Department
of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 7, 10125 Turin, Italy
| | - Roberto Orlando
- Department
of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 7, 10125 Turin, Italy
| | - Jan Gerit Brandenburg
- Mulliken
Center of Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie der Universität Bonn, Beringstraße
4, 53115 Bonn, Germany
| | - Lorenzo Maschio
- Department
of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 7, 10125 Turin, Italy
| | - Piero Ugliengo
- Department
of Chemistry and NIS (Nanostructured Interfaces and Surfaces) Center, University of Turin, Via P. Giuria 7, 10125 Turin, Italy
| |
Collapse
|
25
|
Wang YM, Hättig C, Reine S, Valeev E, Kjærgaard T, Kristensen K. Explicitly correlated second-order Møller-Plesset perturbation theory in a Divide-Expand-Consolidate (DEC) context. J Chem Phys 2016; 144:204112. [DOI: 10.1063/1.4951696] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yang Min Wang
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Christof Hättig
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
| | - Simen Reine
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033, N-1315 Blindern, Norway
| | - Edward Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Thomas Kjærgaard
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Kasper Kristensen
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| |
Collapse
|
26
|
Rybkin VV, VandeVondele J. Spin-Unrestricted Second-Order Møller–Plesset (MP2) Forces for the Condensed Phase: From Molecular Radicals to F-Centers in Solids. J Chem Theory Comput 2016; 12:2214-23. [DOI: 10.1021/acs.jctc.6b00015] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Vladimir V. Rybkin
- Nanoscale Simulations, Department
of Materials, ETH Zürich, Wolfgang-Pauli-Str. 27, CH-8093 Zürich, Switzerland
| | - Joost VandeVondele
- Nanoscale Simulations, Department
of Materials, ETH Zürich, Wolfgang-Pauli-Str. 27, CH-8093 Zürich, Switzerland
| |
Collapse
|
27
|
Abstract
Interest in molecular crystals has grown thanks to their relevance to pharmaceuticals, organic semiconductor materials, foods, and many other applications. Electronic structure methods have become an increasingly important tool for modeling molecular crystals and polymorphism. This article reviews electronic structure techniques used to model molecular crystals, including periodic density functional theory, periodic second-order Møller-Plesset perturbation theory, fragment-based electronic structure methods, and diffusion Monte Carlo. It also discusses the use of these models for predicting a variety of crystal properties that are relevant to the study of polymorphism, including lattice energies, structures, crystal structure prediction, polymorphism, phase diagrams, vibrational spectroscopies, and nuclear magnetic resonance spectroscopy. Finally, tools for analyzing crystal structures and intermolecular interactions are briefly discussed.
Collapse
Affiliation(s)
- Gregory J O Beran
- Department of Chemistry, University of California , Riverside, California 92521, United States
| |
Collapse
|
28
|
Wälz G, Usvyat D, Korona T, Schütz M. A hierarchy of local coupled cluster singles and doubles response methods for ionization potentials. J Chem Phys 2016; 144:084117. [DOI: 10.1063/1.4942234] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Gero Wälz
- Institute of Physical and Theoretical Chemistry, University of Regensburg, Regensburg D-93040, Germany
| | - Denis Usvyat
- Institute of Physical and Theoretical Chemistry, University of Regensburg, Regensburg D-93040, Germany
| | - Tatiana Korona
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - Martin Schütz
- Institute of Physical and Theoretical Chemistry, University of Regensburg, Regensburg D-93040, Germany
| |
Collapse
|
29
|
Rusakov AA, Zgid D. Self-consistent second-order Green’s function perturbation theory for periodic systems. J Chem Phys 2016; 144:054106. [DOI: 10.1063/1.4940900] [Citation(s) in RCA: 65] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Dominika Zgid
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109, USA
| |
Collapse
|
30
|
Sansone G, Maschio L, Usvyat D, Schütz M, Karttunen A. Toward an Accurate Estimate of the Exfoliation Energy of Black Phosphorus: A Periodic Quantum Chemical Approach. J Phys Chem Lett 2016; 7:131-136. [PMID: 26651397 DOI: 10.1021/acs.jpclett.5b02174] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
The black phosphorus (black-P) crystal is formed of covalently bound layers of phosphorene stacked together by weak van der Waals interactions. An experimental measurement of the exfoliation energy of black-P is not available presently, making theoretical studies the most important source of information for the optimization of phosphorene production. Here, we provide an accurate estimate of the exfoliation energy of black-P on the basis of multilevel quantum chemical calculations, which include the periodic local Møller-Plesset perturbation theory of second order, augmented by higher-order corrections, which are evaluated with finite clusters mimicking the crystal. Very similar results are also obtained by density functional theory with the D3-version of Grimme's empirical dispersion correction. Our estimate of the exfoliation energy for black-P of -151 meV/atom is substantially larger than that of graphite, suggesting the need for different strategies to generate isolated layers for these two systems.
Collapse
Affiliation(s)
- Giuseppe Sansone
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) Centre, Università di Torino , via Giuria 5, I-10125 Torino, Italy
| | - Lorenzo Maschio
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) Centre, Università di Torino , via Giuria 5, I-10125 Torino, Italy
| | - Denis Usvyat
- Institute for Physical and Theoretical Chemistry, University of Regensburg , Universitätsstraße 31, D-93040 Regensburg, Germany
| | - Martin Schütz
- Institute for Physical and Theoretical Chemistry, University of Regensburg , Universitätsstraße 31, D-93040 Regensburg, Germany
| | - Antti Karttunen
- Department of Chemistry, Aalto University , Kemistintie 1, FI-02150 Espoo, Finland
| |
Collapse
|
31
|
Abstract
David Craig (1919–2015) left us with a lasting legacy concerning basic understanding of chemical spectroscopy and bonding. This is expressed in terms of some of the recent achievements of my own research career, with a focus on integration of Craig’s theories with those of Noel Hush to solve fundamental problems in photosynthesis, molecular electronics (particularly in regard to the molecules synthesized by Maxwell Crossley), and self-assembled monolayer structure and function. Reviewed in particular is the relation of Craig’s legacy to: the 50-year struggle to assign the visible absorption spectrum of arguably the world’s most significant chromophore, chlorophyll; general theories for chemical bonding and structure extending Hush’s adiabatic theory of electron-transfer processes; inelastic electron-tunnelling spectroscopy (IETS); chemical quantum entanglement and the Penrose–Hameroff model for quantum consciousness; synthetic design strategies for NMR quantum computing; Gibbs free-energy measurements and calculations for formation and polymorphism of organic self-assembled monolayers on graphite surfaces from organic solution; and understanding the basic chemical processes involved in the formation of gold surfaces and nanoparticles protected by sulfur-bound ligands, ligands whose form is that of Au0-thiyl rather than its commonly believed AuI-thiolate tautomer.
Collapse
|
32
|
Chiappe G, Louis E, San-Fabián E, Vergés JA. Can model Hamiltonians describe the electron-electron interaction in π-conjugated systems? PAH and graphene. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2015; 27:463001. [PMID: 26501495 DOI: 10.1088/0953-8984/27/46/463001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Model Hamiltonians have been, and still are, a valuable tool for investigating the electronic structure of systems for which mean field theories work poorly. This review will concentrate on the application of Pariser-Parr-Pople (PPP) and Hubbard Hamiltonians to investigate some relevant properties of polycyclic aromatic hydrocarbons (PAH) and graphene. When presenting these two Hamiltonians we will resort to second quantisation which, although not the way chosen in its original proposal of the former, is much clearer. We will not attempt to be comprehensive, but rather our objective will be to try to provide the reader with information on what kinds of problems they will encounter and what tools they will need to solve them. One of the key issues concerning model Hamiltonians that will be treated in detail is the choice of model parameters. Although model Hamiltonians reduce the complexity of the original Hamiltonian, they cannot be solved in most cases exactly. So, we shall first consider the Hartree-Fock approximation, still the only tool for handling large systems, besides density functional theory (DFT) approaches. We proceed by discussing to what extent one may exactly solve model Hamiltonians and the Lanczos approach. We shall describe the configuration interaction (CI) method, a common technology in quantum chemistry but one rarely used to solve model Hamiltonians. In particular, we propose a variant of the Lanczos method, inspired by CI, that has the novelty of using as the seed of the Lanczos process a mean field (Hartree-Fock) determinant (the method will be named LCI). Two questions of interest related to model Hamiltonians will be discussed: (i) when including long-range interactions, how crucial is including in the Hamiltonian the electronic charge that compensates ion charges? (ii) Is it possible to reduce a Hamiltonian incorporating Coulomb interactions (PPP) to an 'effective' Hamiltonian including only on-site interactions (Hubbard)? The performance of CI will be checked on small molecules. The electronic structure of azulene and fused azulene will be used to illustrate several aspects of the method. As regards graphene, several questions will be considered: (i) paramagnetic versus antiferromagnetic solutions, (ii) forbidden gap versus dot size, (iii) graphene nano-ribbons, and (iv) optical properties.
Collapse
Affiliation(s)
- G Chiappe
- Unidad Asociada del CSIC and Instituto Universitario de Materiales, Universidad de Alicante, San Vicente del Raspeig, 03690 Alicante, Spain. Departamento de Física Aplicada, Universidad de Alicante, San Vicente del Raspeig, 03690 Alicante, Spain
| | | | | | | |
Collapse
|
33
|
Sansone G, Civalleri B, Usvyat D, Toulouse J, Sharkas K, Maschio L. Range-separated double-hybrid density-functional theory applied to periodic systems. J Chem Phys 2015; 143:102811. [PMID: 26374004 DOI: 10.1063/1.4922996] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Quantum chemistry methods exploiting density-functional approximations for short-range electron-electron interactions and second-order Møller-Plesset (MP2) perturbation theory for long-range electron-electron interactions have been implemented for periodic systems using Gaussian-type basis functions and the local correlation framework. The performance of these range-separated double hybrids has been benchmarked on a significant set of systems including rare-gas, molecular, ionic, and covalent crystals. The use of spin-component-scaled MP2 for the long-range part has been tested as well. The results show that the value of μ = 0.5 bohr(-1) for the range-separation parameter usually used for molecular systems is also a reasonable choice for solids. Overall, these range-separated double hybrids provide a good accuracy for binding energies using basis sets of moderate sizes such as cc-pVDZ and aug-cc-pVDZ.
Collapse
Affiliation(s)
- Giuseppe Sansone
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) Centre, Università di Torino, via Giuria 5, I-10125 Torino, Italy
| | - Bartolomeo Civalleri
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) Centre, Università di Torino, via Giuria 5, I-10125 Torino, Italy
| | - Denis Usvyat
- Institute for Physical and Theoretical Chemistry, Universität Regensburg, Universitätsstrasse 31, D-93040 Regensburg, Germany
| | - Julien Toulouse
- Sorbonne Universités, UPMC Univ. Paris 06, UMR 7616, Laboratoire de Chimie Théorique, F-75005 Paris, France
| | - Kamal Sharkas
- Department of Chemistry, State University of New York at Buffalo, Buffalo, New York 14260-3000, USA
| | - Lorenzo Maschio
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) Centre, Università di Torino, via Giuria 5, I-10125 Torino, Italy
| |
Collapse
|
34
|
Grüneis A. A coupled cluster and Møller-Plesset perturbation theory study of the pressure induced phase transition in the LiH crystal. J Chem Phys 2015; 143:102817. [DOI: 10.1063/1.4928645] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
35
|
Usvyat D. High precision quantum-chemical treatment of adsorption: Benchmarking physisorption of molecular hydrogen on graphane. J Chem Phys 2015; 143:104704. [DOI: 10.1063/1.4930851] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Denis Usvyat
- Institute for Physical and Theoretical Chemistry, Universität Regensburg, Universitätsstrasse 31, D-93040 Regensburg, Germany
| |
Collapse
|
36
|
Michaelides A, Martinez TJ, Alavi A, Kresse G, Manby FR. Preface: Special Topic Section on Advanced Electronic Structure Methods for Solids and Surfaces. J Chem Phys 2015; 143:102601. [DOI: 10.1063/1.4930182] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
|