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Sohail B, Blowey PJ, Rochford LA, Ryan PTP, Duncan DA, Lee TL, Starrs P, Costantini G, Woodruff DP, Maurer RJ. Donor-Acceptor Co-Adsorption Ratio Controls the Structure and Electronic Properties of Two-Dimensional Alkali-Organic Networks on Ag(100). J Phys Chem C Nanomater Interfaces 2023; 127:2716-2727. [PMID: 36798903 PMCID: PMC9923740 DOI: 10.1021/acs.jpcc.2c08688] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/12/2022] [Revised: 01/12/2023] [Indexed: 06/18/2023]
Abstract
The results are presented of a detailed combined experimental and theoretical investigation of the influence of coadsorbed electron-donating alkali atoms and the prototypical electron acceptor molecule 7,7,8,8-tetracyanoquinodimethane (TCNQ) on the Ag(100) surface. Several coadsorption phases were characterized by scanning tunneling microscopy, low-energy electron diffraction, and soft X-ray photoelectron spectroscopy. Quantitative structural data were obtained using normal-incidence X-ray standing wave (NIXSW) measurements and compared with the results of density functional theory (DFT) calculations using several different methods of dispersion correction. Generally, good agreement between theory and experiment was achieved for the quantitative structures, albeit with the prediction of the alkali atom heights being challenging for some methods. The adsorption structures depend sensitively on the interplay of molecule-metal charge transfer and long-range dispersion forces, which are controlled by the composition ratio between alkali atoms and TCNQ. The large difference in atomic size between K and Cs has negligible effects on stability, whereas increasing the ratio of K/TCNQ from 1:4 to 1:1 leads to a weakening of molecule-metal interaction strength in favor of stronger ionic bonds within the two-dimensional alkali-organic network. A strong dependence of the work function on the alkali donor-TCNQ acceptor coadsorption ratio is predicted.
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Affiliation(s)
- B. Sohail
- Department
of Chemistry, University of Warwick, CoventryCV4 7AL, U.K.
| | - P. J. Blowey
- Department
of Physics, University of Warwick, CoventryCV4 7AL, U.K.
- Diamond
Light Source, Harwell Science and Innovation Campus, DidcotOX11 0DE, U.K.
| | - L. A. Rochford
- School
of Chemistry, University of Birmingham, BirminghamB15 2TT, U.K.
| | - P. T. P. Ryan
- Diamond
Light Source, Harwell Science and Innovation Campus, DidcotOX11 0DE, U.K.
- Department
of Materials, Imperial College, London, LondonSW7 2AZ, U.K.
| | - D. A. Duncan
- Diamond
Light Source, Harwell Science and Innovation Campus, DidcotOX11 0DE, U.K.
| | - T.-L. Lee
- Diamond
Light Source, Harwell Science and Innovation Campus, DidcotOX11 0DE, U.K.
| | - P. Starrs
- Diamond
Light Source, Harwell Science and Innovation Campus, DidcotOX11 0DE, U.K.
- School of
Chemistry, University of St. Andrews, St. AndrewsKY16 9AJ, U.K.
| | - G. Costantini
- Department
of Physics, University of Warwick, CoventryCV4 7AL, U.K.
- School
of Chemistry, University of Birmingham, BirminghamB15 2TT, U.K.
| | - D. P. Woodruff
- Department
of Physics, University of Warwick, CoventryCV4 7AL, U.K.
| | - R. J. Maurer
- Department
of Chemistry, University of Warwick, CoventryCV4 7AL, U.K.
- Department
of Physics, University of Warwick, CoventryCV4 7AL, U.K.
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Hourahine B, Aradi B, Blum V, Bonafé F, Buccheri A, Camacho C, Cevallos C, Deshaye MY, Dumitrică T, Dominguez A, Ehlert S, Elstner M, van der Heide T, Hermann J, Irle S, Jakowski J, Kranz JJ, Köhler C, Kowalczyk T, Kubař T, Lee IS, Lutsker V, Maurer RJ, Min SK, Mitchell I, Negre C, Niehaus TA, Niklasson AMN, Page AJ, Pecchia A, Penazzi G, Persson MP, Řezáč J, Sánchez CG, Sternberg M, Stöhr M, Stuckenberg F, Tkatchenko A, Yu VWZ, Frauenheim T. Erratum: “DFTB+, a software package for efficient approximate density functional theory based atomistic simulations” [J. Chem. Phys. 152, 124101 (2020)]. J Chem Phys 2022; 157:039901. [DOI: 10.1063/5.0103026] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- B. Hourahine
- SUPA, Department of Physics, The University of Strathclyde, Glasgow G4 0NG, United Kingdom
| | - B. Aradi
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - V. Blum
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - F. Bonafé
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
| | - A. Buccheri
- School of Chemistry, University of Bristol, Cantock’s Close, Bristol BS8 1TS, United Kingdom
| | - C. Camacho
- School of Chemistry, University of Costa Rica, San José 11501-2060, Costa Rica
| | - C. Cevallos
- School of Chemistry, University of Costa Rica, San José 11501-2060, Costa Rica
| | - M. Y. Deshaye
- Department of Chemistry and Advanced Materials Science and Engineering Center, Western Washington University, Bellingham, Washington 98225, USA
| | - T. Dumitrică
- Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - A. Dominguez
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
- Computational Science Research Center (CSRC) Beijing and Computational Science Applied Research (CSAR) Institute Shenzhen, Shenzhen, China
| | | | - M. Elstner
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Karlsruhe, Germany
| | - T. van der Heide
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - J. Hermann
- Freie Universität Berlin, Berlin, Germany
| | - S. Irle
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - J. Jakowski
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - J. J. Kranz
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Karlsruhe, Germany
| | - C. Köhler
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - T. Kowalczyk
- Department of Chemistry and Advanced Materials Science and Engineering Center, Western Washington University, Bellingham, Washington 98225, USA
| | - T. Kubař
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Karlsruhe, Germany
| | - I. S. Lee
- Department of Chemistry, Ulsan National Institute of Science and Technology, Ulsan, South Korea
| | - V. Lutsker
- Institut I–Theoretische Physik, University of Regensburg, Regensburg, Germany
| | - R. J. Maurer
- Department of Chemistry, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom
| | - S. K. Min
- Department of Chemistry, Ulsan National Institute of Science and Technology, Ulsan, South Korea
| | - I. Mitchell
- Center for Multidimensional Carbon Materials, Institute of Basic Science, Ulsan, South Korea
| | - C. Negre
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - T. A. Niehaus
- Université de Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
| | - A. M. N. Niklasson
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - A. J. Page
- School of Environmental and Life Sciences, University of Newcastle, Callaghan, Australia
| | - A. Pecchia
- CNR-ISMN, Via Salaria km 29,600, 00014 Monterotondo, Rome
| | - G. Penazzi
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | | | - J. Řezáč
- Institute of Organic Chemistry and Biochemistry AS CR, Prague, Czech Republic
| | - C. G. Sánchez
- Instituto Interdisciplinario de Ciencias Básicas, Universidad Nacional de Cuyo, CONICET, Facultad de Ciencias Exactas y Naturales, Mendoza, Argentina
| | - M. Sternberg
- Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - M. Stöhr
- Department of Physics and Materials Science, University of Luxembourg, Luxembourg City, Luxembourg
| | - F. Stuckenberg
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - A. Tkatchenko
- Department of Physics and Materials Science, University of Luxembourg, Luxembourg City, Luxembourg
| | - V. W.-z. Yu
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - T. Frauenheim
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
- Computational Science Research Center (CSRC) Beijing and Computational Science Applied Research (CSAR) Institute Shenzhen, Shenzhen, China
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3
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Litman Y, Pós ES, Box CL, Martinazzo R, Maurer RJ, Rossi M. Dissipative tunneling rates through the incorporation of first-principles electronic friction in instanton rate theory. II. Benchmarks and applications. J Chem Phys 2022; 156:194107. [PMID: 35597654 DOI: 10.1063/5.0088400] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In Paper I [Litman et al., J. Chem. Phys. (in press) (2022)], we presented the ring-polymer instanton with explicit friction (RPI-EF) method and showed how it can be connected to the ab initio electronic friction formalism. This framework allows for the calculation of tunneling reaction rates that incorporate the quantum nature of the nuclei and certain types of non-adiabatic effects (NAEs) present in metals. In this paper, we analyze the performance of RPI-EF on model potentials and apply it to realistic systems. For a 1D double-well model, we benchmark the method against numerically exact results obtained from multi-layer multi-configuration time-dependent Hartree calculations. We demonstrate that RPI-EF is accurate for medium and high friction strengths and less accurate for extremely low friction values. We also show quantitatively how the inclusion of NAEs lowers the crossover temperature into the deep tunneling regime, reduces the tunneling rates, and, in certain regimes, steers the quantum dynamics by modifying the tunneling pathways. As a showcase of the efficiency of this method, we present a study of hydrogen and deuterium hopping between neighboring interstitial sites in selected bulk metals. The results show that multidimensional vibrational coupling and nuclear quantum effects have a larger impact than NAEs on the tunneling rates of diffusion in metals. Together with Paper I [Litman et al., J. Chem. Phys. (in press) (2022)], these results advance the calculations of dissipative tunneling rates from first principles.
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Affiliation(s)
- Y Litman
- MPI for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - E S Pós
- MPI for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - C L Box
- Department of Chemistry, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - R Martinazzo
- Department of Chemistry, Università degli Studi di Milano, Via Golgi 19, 20133 Milano, Italy
| | - R J Maurer
- Department of Chemistry, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - M Rossi
- MPI for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
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4
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Litman Y, Pós ES, Box CL, Martinazzo R, Maurer RJ, Rossi M. Dissipative tunneling rates through the incorporation of first-principles electronic friction in instanton rate theory. I. Theory. J Chem Phys 2022; 156:194106. [PMID: 35597633 DOI: 10.1063/5.0088399] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Reactions involving adsorbates on metallic surfaces and impurities in bulk metals are ubiquitous in a wide range of technological applications. The theoretical modeling of such reactions presents a formidable challenge for theory because nuclear quantum effects (NQEs) can play a prominent role and the coupling of the atomic motion with the electrons in the metal gives rise to important non-adiabatic effects (NAEs) that alter atomic dynamics. In this work, we derive a theoretical framework that captures both NQEs and NAEs and, due to its high efficiency, can be applied to first-principles calculations of reaction rates in high-dimensional realistic systems. More specifically, we develop a method that we coin ring polymer instanton with explicit friction (RPI-EF), starting from the ring polymer instanton formalism applied to a system-bath model. We derive general equations that incorporate the spatial and frequency dependence of the friction tensor and then combine this method with the ab initio electronic friction formalism for the calculation of thermal reaction rates. We show that the connection between RPI-EF and the form of the electronic friction tensor presented in this work does not require any further approximations, and it is expected to be valid as long as the approximations of both underlying theories remain valid.
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Affiliation(s)
- Y Litman
- MPI for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - E S Pós
- MPI for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - C L Box
- Department of Chemistry, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - R Martinazzo
- Department of Chemistry, Università degli Studi di Milano, Via Golgi 19, 20133 Milano, Italy
| | - R J Maurer
- Department of Chemistry, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - M Rossi
- MPI for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
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5
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Gastegger M, McSloy A, Luya M, Schütt KT, Maurer RJ. A deep neural network for molecular wave functions in quasi-atomic minimal basis representation. J Chem Phys 2020; 153:044123. [PMID: 32752663 DOI: 10.1063/5.0012911] [Citation(s) in RCA: 24] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
Abstract
The emergence of machine learning methods in quantum chemistry provides new methods to revisit an old problem: Can the predictive accuracy of electronic structure calculations be decoupled from their numerical bottlenecks? Previous attempts to answer this question have, among other methods, given rise to semi-empirical quantum chemistry in minimal basis representation. We present an adaptation of the recently proposed SchNet for Orbitals (SchNOrb) deep convolutional neural network model [K. T. Schütt et al., Nat. Commun. 10, 5024 (2019)] for electronic wave functions in an optimized quasi-atomic minimal basis representation. For five organic molecules ranging from 5 to 13 heavy atoms, the model accurately predicts molecular orbital energies and wave functions and provides access to derived properties for chemical bonding analysis. Particularly for larger molecules, the model outperforms the original atomic-orbital-based SchNOrb method in terms of accuracy and scaling. We conclude by discussing the future potential of this approach in quantum chemical workflows.
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Affiliation(s)
- M Gastegger
- Machine Learning Group, Technische Universität Berlin, 10587 Berlin, Germany
| | - A McSloy
- Department of Chemistry, University of Warwick, Gibbet Hill Road, CV4 7AL Coventry, United Kingdom
| | - M Luya
- Department of Chemistry, University of Warwick, Gibbet Hill Road, CV4 7AL Coventry, United Kingdom
| | - K T Schütt
- Machine Learning Group, Technische Universität Berlin, 10587 Berlin, Germany
| | - R J Maurer
- Department of Chemistry, University of Warwick, Gibbet Hill Road, CV4 7AL Coventry, United Kingdom
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6
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Hourahine B, Aradi B, Blum V, Bonafé F, Buccheri A, Camacho C, Cevallos C, Deshaye MY, Dumitrică T, Dominguez A, Ehlert S, Elstner M, van der Heide T, Hermann J, Irle S, Kranz JJ, Köhler C, Kowalczyk T, Kubař T, Lee IS, Lutsker V, Maurer RJ, Min SK, Mitchell I, Negre C, Niehaus TA, Niklasson AMN, Page AJ, Pecchia A, Penazzi G, Persson MP, Řezáč J, Sánchez CG, Sternberg M, Stöhr M, Stuckenberg F, Tkatchenko A, Yu VWZ, Frauenheim T. DFTB+, a software package for efficient approximate density functional theory based atomistic simulations. J Chem Phys 2020; 152:124101. [PMID: 32241125 DOI: 10.1063/1.5143190] [Citation(s) in RCA: 350] [Impact Index Per Article: 87.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023] Open
Abstract
DFTB+ is a versatile community developed open source software package offering fast and efficient methods for carrying out atomistic quantum mechanical simulations. By implementing various methods approximating density functional theory (DFT), such as the density functional based tight binding (DFTB) and the extended tight binding method, it enables simulations of large systems and long timescales with reasonable accuracy while being considerably faster for typical simulations than the respective ab initio methods. Based on the DFTB framework, it additionally offers approximated versions of various DFT extensions including hybrid functionals, time dependent formalism for treating excited systems, electron transport using non-equilibrium Green's functions, and many more. DFTB+ can be used as a user-friendly standalone application in addition to being embedded into other software packages as a library or acting as a calculation-server accessed by socket communication. We give an overview of the recently developed capabilities of the DFTB+ code, demonstrating with a few use case examples, discuss the strengths and weaknesses of the various features, and also discuss on-going developments and possible future perspectives.
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Affiliation(s)
- B Hourahine
- SUPA, Department of Physics, The University of Strathclyde, Glasgow G4 0NG, United Kingdom
| | - B Aradi
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - V Blum
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - F Bonafé
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
| | - A Buccheri
- School of Chemistry, University of Bristol, Cantock's Close, Bristol BS8 1TS, United Kingdom
| | - C Camacho
- School of Chemistry, University of Costa Rica, San José 11501-2060, Costa Rica
| | - C Cevallos
- School of Chemistry, University of Costa Rica, San José 11501-2060, Costa Rica
| | - M Y Deshaye
- Department of Chemistry and Advanced Materials Science and Engineering Center, Western Washington University, Bellingham, Washington 98225, USA
| | - T Dumitrică
- Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - A Dominguez
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - S Ehlert
- University of Bonn, Bonn, Germany
| | - M Elstner
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Karlsruhe, Germany
| | - T van der Heide
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - J Hermann
- Freie Universität Berlin, Berlin, Germany
| | - S Irle
- Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - J J Kranz
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Karlsruhe, Germany
| | - C Köhler
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - T Kowalczyk
- Department of Chemistry and Advanced Materials Science and Engineering Center, Western Washington University, Bellingham, Washington 98225, USA
| | - T Kubař
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Karlsruhe, Germany
| | - I S Lee
- Department of Chemistry, Ulsan National Institute of Science and Technology, Ulsan, South Korea
| | - V Lutsker
- Institut I - Theoretische Physik, University of Regensburg, Regensburg, Germany
| | - R J Maurer
- Department of Chemistry, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom
| | - S K Min
- Department of Chemistry, Ulsan National Institute of Science and Technology, Ulsan, South Korea
| | - I Mitchell
- Center for Multidimensional Carbon Materials, Institute for Basic Science (IBS), Ulsan 44919, South Korea
| | - C Negre
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - T A Niehaus
- Université de Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
| | - A M N Niklasson
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - A J Page
- School of Environmental and Life Sciences, University of Newcastle, Callaghan, Australia
| | - A Pecchia
- CNR-ISMN, Via Salaria km 29.300, 00015 Monterotondo Stazione, Rome, Italy
| | - G Penazzi
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - M P Persson
- Dassault Systemes, Cambridge, United Kingdom
| | - J Řezáč
- Institute of Organic Chemistry and Biochemistry AS CR, Prague, Czech Republic
| | - C G Sánchez
- Instituto Interdisciplinario de Ciencias Básicas, Universidad Nacional de Cuyo, CONICET, Facultad de Ciencias Exactas y Naturales, Mendoza, Argentina
| | - M Sternberg
- Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - M Stöhr
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - F Stuckenberg
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - A Tkatchenko
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - V W-Z Yu
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - T Frauenheim
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
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Schütt KT, Gastegger M, Tkatchenko A, Müller KR, Maurer RJ. Unifying machine learning and quantum chemistry with a deep neural network for molecular wavefunctions. Nat Commun 2019; 10:5024. [PMID: 31729373 PMCID: PMC6858523 DOI: 10.1038/s41467-019-12875-2] [Citation(s) in RCA: 179] [Impact Index Per Article: 35.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2019] [Accepted: 09/25/2019] [Indexed: 12/03/2022] Open
Abstract
Machine learning advances chemistry and materials science by enabling large-scale exploration of chemical space based on quantum chemical calculations. While these models supply fast and accurate predictions of atomistic chemical properties, they do not explicitly capture the electronic degrees of freedom of a molecule, which limits their applicability for reactive chemistry and chemical analysis. Here we present a deep learning framework for the prediction of the quantum mechanical wavefunction in a local basis of atomic orbitals from which all other ground-state properties can be derived. This approach retains full access to the electronic structure via the wavefunction at force-field-like efficiency and captures quantum mechanics in an analytically differentiable representation. On several examples, we demonstrate that this opens promising avenues to perform inverse design of molecular structures for targeting electronic property optimisation and a clear path towards increased synergy of machine learning and quantum chemistry. Machine learning models can accurately predict atomistic chemical properties but do not provide access to the molecular electronic structure. Here the authors use a deep learning approach to predict the quantum mechanical wavefunction at high efficiency from which other ground-state properties can be derived.
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Affiliation(s)
- K T Schütt
- Machine Learning Group, Technische Universität Berlin, 10587, Berlin, Germany
| | - M Gastegger
- Machine Learning Group, Technische Universität Berlin, 10587, Berlin, Germany
| | - A Tkatchenko
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511, Luxembourg, Luxembourg.
| | - K-R Müller
- Machine Learning Group, Technische Universität Berlin, 10587, Berlin, Germany. .,Department of Brain and Cognitive Engineering, Korea University, Anam-dong, Seongbuk-gu, Seoul, 02841, Korea. .,Max-Planck-Institut für Informatik, Saarbrücken, Germany.
| | - R J Maurer
- Department of Chemistry, University of Warwick, Gibbet Hill Road, CV4 7AL, Coventry, UK.
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Watson RL, Benka O, Parthasaradhi K, Maurer RJ, Sanders JM. Spectra of Ne KαX-ray satellites and hypersatellites excited by 1.2-1.4 MeV amu-1He, C, Mg and Ar ions. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/16/5/015] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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9
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Heber O, Sampoll G, Bandong BB, Maurer RJ, Watson RL, Ben-Itzhak I, Sanders JM, Shinpaugh JL, Richard P. Multiple-electron ionization, capture, and loss by 19-MeV Fq+ (q=2-9) in collisions with Ne and Ar. Phys Rev A 1995; 52:4578-4585. [PMID: 9912796 DOI: 10.1103/physreva.52.4578] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Doud TM, Moser RP, Giudici MA, Frauenhoffer EE, Maurer RJ. Case report 704: Extraskeletal osteosarcoma of the thigh with several suspected skeletal metastases and extensive metastases to the chest. Skeletal Radiol 1991; 20:628-32. [PMID: 1776034 DOI: 10.1007/bf01106100] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/02/2023]
Abstract
A case of extraskeletal osteosarcoma occurring in its most common location, the thigh, is reported. Particular emphasis is given to demonstrating the spectrum of radiological findings, including CT, MRI, and scintigraphy and to illustrate that this entity can metastasize to bone.
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Affiliation(s)
- T M Doud
- Department of Radiology, Penn State University Hospital, Milton S. Hershey Medical Center, Hershey
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11
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Heber O, Sampoll G, Bandong BB, Maurer RJ, Moler E, Watson RL, Ben-Itzhak I, Shinpaugh JL, Sanders JM, Hefner L, Richard P. Charge multiplication via Auger decay of L vacancies in the production of highly charged Ar ions by collisions with 1-MeV/amu Oq+ and Fq+. Phys Rev A Gen Phys 1989; 39:4898-4901. [PMID: 9901852 DOI: 10.1103/physreva.39.4898] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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12
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Yu G, Watson RL, Bandong BB, Can C, Sampoll G, Moler E, Maurer RJ. Collisional quenching of 2 (3)P and 2 (4)P states in 33-MeV two- and three-electron Mg ions. Phys Rev A Gen Phys 1989; 39:1041-1048. [PMID: 9901342 DOI: 10.1103/physreva.39.1041] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Can C, Maurer RJ, Bandong B, Watson RL. Investigation of the distribution of (n,l) states populated by beam-foil excitation of 32-MeV oxygen ions. Phys Rev A Gen Phys 1987; 35:3244-3247. [PMID: 9898539 DOI: 10.1103/physreva.35.3244] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Pálinkás J, Maurer RJ, Watson RL. Delayed emission of 2p-1s and 3p-1s x rays from 40-MeV neon ions following beam-foil excitation. Phys Rev A Gen Phys 1985; 32:2674-2677. [PMID: 9896404 DOI: 10.1103/physreva.32.2674] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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