15 results on '"Michael F. Herbst"'
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2. A robust and efficient line search for self-consistent field iterations.
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Michael F. Herbst and Antoine Levitt
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- 2022
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3. A posteriori error estimation for the non-self-consistent Kohn-Sham equations.
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Michael F. Herbst, Antoine Levitt, and Eric Cancès
- Published
- 2020
4. Black-box inhomogeneous preconditioning for self-consistent field iterations in density functional theory.
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Michael F. Herbst and Antoine Levitt
- Published
- 2020
5. Quantum Chemistry Common Driver and Databases (QCDB) and Quantum Chemistry Engine (QCEngine): Automation and interoperability among computational chemistry programs
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Johannes Steinmetzer, Daniel A. Smith, C. David Sherrill, Mark S. Gordon, Nuwan De Silva, Jamshed Anwar, Fang Liu, Henry F. Schaefer, Justin M. Turney, Lee-Ping Wang, Maximilian Scheurer, Annabelle Lolinco, Doaa Altarawy, Jiří Šponer, John D. Chodera, Carlos H. Borca, Rollin A. King, Asem Alenaizan, Jeffrey B. Schriber, David Dotson, Jonathon P. Misiewicz, Heather J. Kulik, Andrew C. Simmonett, Jeffrey R. Wagner, Sebastian J. R. Lee, Theresa L. Windus, Taylor A. Barnes, Peter Kraus, Matthew Welborn, Lori A. Burns, Logan Ward, Andreas Dreuw, Holger Kruse, Devin A. Matthews, Jiyoung Lee, Farhad Ramezanghorbani, Jan Hermann, Roberto Di Remigio, Levi N. Naden, Todd J. Martínez, Joshua T. Horton, John F. Stanton, Sebastian Ehlert, Colton B. Hicks, Adrian G. Hurtado, Zachary L. Glick, Alexander G. Heide, and Michael F. Herbst
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Computer science ,Computation ,Interoperability ,General Physics and Astronomy ,010402 general chemistry ,computer.software_genre ,01 natural sciences ,ARTICLES ,Software ,Engineering ,Composability ,0103 physical sciences ,Physical and Theoretical Chemistry ,Chemical Physics ,010304 chemical physics ,Database ,Application programming interface ,business.industry ,Modular design ,Automation ,0104 chemical sciences ,Networking and Information Technology R&D (NITRD) ,Physical Sciences ,Chemical Sciences ,GAMESS ,business ,computer - Abstract
Community efforts in the computational molecular sciences (CMS) are evolving toward modular, open, and interoperable interfaces that work with existing community codes to provide more functionality and composability than could be achieved with a single program. The Quantum Chemistry Common Driver and Databases (QCDB) project provides such capability through an application programming interface (API) that facilitates interoperability across multiple quantum chemistry software packages. In tandem with the Molecular Sciences Software Institute and their Quantum Chemistry Archive ecosystem, the unique functionalities of several CMS programs are integrated, including CFOUR, GAMESS, NWChem, OpenMM, Psi4, Qcore, TeraChem, and Turbomole, to provide common computational functions, i.e., energy, gradient, and Hessian computations as well as molecular properties such as atomic charges and vibrational frequency analysis. Both standard users and power users benefit from adopting these APIs as they lower the language barrier of input styles and enable a standard layout of variables and data. These designs allow end-to-end interoperable programming of complex computations and provide best practices options by default.
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- 2021
6. Surrogate models for quantum spin systems based on reduced order modeling
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Michael F. Herbst, Benjamin Stamm, Stefan Wessel, and Matteo Rizzi
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Quantum Physics ,Condensed Matter - Strongly Correlated Electrons ,Strongly Correlated Electrons (cond-mat.str-el) ,FOS: Physical sciences ,ddc:530 ,Quantum Physics (quant-ph) - Abstract
We present a methodology to investigate phase diagrams of quantum models based on the principle of the reduced basis method (RBM). The RBM is built from a few ground-state snapshots, i.e., lowest eigenvectors of the full system Hamiltonian computed at well-chosen points in the parameter space of interest. We put forward a greedy strategy to assemble such a small-dimensional basis, i.e., to select where to spend the numerical effort needed for the snapshots. Once the RBM is assembled, physical observables required for mapping out the phase diagram (e.g., structure factors) can be computed for any parameter value with a modest computational complexity, considerably lower than the one associated to the underlying Hilbert space dimension. We benchmark the method in two test cases, a chain of excited Rydberg atoms and a geometrically frustrated antiferromagnetic two-dimensional lattice model, and illustrate the accuracy of the approach. In particular, we find that the ground-state manifold can be approximated to sufficient accuracy with a moderate number of basis functions, which increases very mildly when the number of microscopic constituents grows—in stark contrast to the exponential growth of the Hilbert space needed to describe each of the few snapshots. A combination of the presented RBM approach with other numerical techniques circumventing even the latter big cost, e.g., tensor network methods, is a tantalizing outlook of this work.
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- 2021
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7. Software for the frontiers of quantum chemistry: An overview of developments in the Q-Chem 5 package
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Dimitri Kosenkov, K. Birgitta Whaley, Dennis Barton, Abdulrahman Aldossary, Sam F. Manzer, Wojciech Skomorowski, Matthew Goldey, Ksenia B. Bravaya, Leif D. Jacobson, Gergely Kis, Anna I. Krylov, Aaditya Manjanath, Norm M. Tubman, Bang C. Huynh, Shane R. Yost, Barry D. Dunietz, Hainam Do, Sina Yeganeh, Shervin Fatehi, Stephen E. Mason, Warren J. Hehre, Sahil Gulania, Martin Head-Gordon, Alexander C. Paul, Jeffrey B. Neaton, István Ladjánszki, Matthias Schneider, Prashant Uday Manohar, Maximilian Scheurer, Simon A. Maurer, Adrian L. Dempwolff, Dmitry Zuev, Zachary C. Holden, Jan Wenzel, Eric J. Sundstrom, Phil Klunzinger, Jia Deng, Daniel S. Levine, Kristina D. Closser, David W. Small, Hanjie Jiang, Bernard R. Brooks, Alexandre Tkatchenko, Vale Cofer-Shabica, Xing Zhang, Nickolai Sergueev, Jonathan Thirman, Ádám Jász, Ethan Alguire, Keith V. Lawler, Chao-Ping Hsu, Saswata Dasgupta, Narbe Mardirossian, David Casanova, Pierpaolo Morgante, Andrew Behn, Vishikh Athavale, WanZhen Liang, Matthias Loipersberger, Arie Landau, Andreas Dreuw, Qingguo Feng, James R. Gayvert, Tomasz Adam Wesolowski, Thomas Kus, Alexander Zech, Daniel Lefrancois, Kirill Khistyaev, Oleg A. Vydrov, Marc P. Coons, Bushra Alam, Fenglai Liu, Alan D. Chien, Yu Zhang, Andreas W. Hauser, Stefanie A. Mewes, You Sheng Lin, Zheng Pei, Evgeny Epifanovsky, Run R. Li, Michael F. Herbst, Joseph Gomes, Thomas R. Furlani, Tim Stauch, Abel Carreras, Joonho Lee, Erum Mansoor, John M. Herbert, Yu-Chuan Su, Maxim V. Ivanov, Maximilian F. S. J. Menger, György Cserey, Ryan P. Steele, Yousung Jung, Anastasia O. Gunina, Vitaly A. Rassolov, Daniel S. Lambrecht, Zhen Tao, Fabijan Pavošević, Yves A. Bernard, Michael Diedenhofen, Igor Ying Zhang, Paul R. Horn, Hung Hsuan Lin, Roberto Peverati, William A. Goddard, Yihan Shao, Shirin Faraji, Pavel Pokhilko, Tarek Scheele, Andrew T.B. Gilbert, Triet Friedhoff, Dirk R. Rehn, Kaushik D. Nanda, Susi Lehtola, Jeng-Da Chai, Hugh G. A. Burton, Alexander A. Kunitsa, Qinghui Ge, Ádám Rák, Elliot Rossomme, Hyunjun Ji, Jing Kong, Kuan-Yu Liu, Adrian F. Morrison, Yi-Pei Li, Troy Van Voorhis, Nicholas J. Mayhall, Simon C. McKenzie, Sven Kähler, H. Lee Woodcock, Stefan Prager, Xintian Feng, Manuel Hodecker, Thomas-C. Jagau, Takashi Tsuchimochi, Peter Gill, Adrian W. Lange, Ryan M. Richard, Robert A. DiStasio, Kevin Carter-Fenk, Ying Zhu, Tim Kowalczyk, Joong Hoon Koh, Ilya Kaliman, Peter F. McLaughlin, John Parkhill, Gábor János Tornai, Caroline M. Krauter, Zhengting Gan, Eloy Ramos-Cordoba, Marcus Liebenthal, Donald G. Truhlar, Jiashu Liang, Joseph E. Subotnik, Arne Luenser, Nicole Bellonzi, Sonia Coriani, Andreas Klamt, Aleksandr V. Marenich, Shaama Mallikarjun Sharada, Zsuzsanna Koczor-Benda, Yuezhi Mao, Shannon E. Houck, Marta L. Vidal, Emil Proynov, C. William McCurdy, J. Wayne Mullinax, Mario Hernández Vera, Khadiza Begam, Alán Aspuru-Guzik, Jon Witte, Laura Koulias, Felix Plasser, Christopher J. Stein, Alec F. White, Jan-Michael Mewes, Romit Chakraborty, Ka Un Lao, Suranjan K. Paul, Teresa Head-Gordon, Karl Y Kue, Po Tung Fang, Zhi-Qiang You, Cristina E. González-Espinoza, Jie Liu, Diptarka Hait, Alan E. Rask, Phillip H.P. Harbach, Nicholas A. Besley, Kun Yao, Benjamin J. Albrecht, Benjamin Kaduk, Jae-Hoon Kim, Gergely Gidofalvi, A. Eugene DePrince, Thomas Markovich, Eric J. Berquist, Marc de Wergifosse, Alexis T. Bell, Christopher J. Cramer, Adam Rettig, Garrette Paran, Shan Ping Mao, Katherine J. Oosterbaan, Paul M. Zimmerman, Christian Ochsenfeld, J. Andersen, Magnus W. D. Hanson-Heine, Jörg Kussmann, Lyudmila V. Slipchenko, Alex J. W. Thom, Sebastian Ehlert, Atsushi Yamada, Srimukh Prasad Veccham, Kerwin Hui, Fazle Rob, Xunkun Huang, Bhaskar Rana, Sharon Hammes-Schiffer, Department of Chemistry, and Theoretical Chemistry
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116 Chemical sciences ,GENERALIZED-GRADIENT-APPROXIMATION ,RAY-ABSORPTION SPECTRA ,FRAGMENT POTENTIAL METHOD ,General Physics and Astronomy ,Physics, Atomic, Molecular & Chemical ,010402 general chemistry ,Decomposition analysis ,01 natural sciences ,Quantum chemistry ,Software ,TRANSFER EXCITED-STATES ,DENSITY-FUNCTIONAL-THEORY ,DIAGRAMMATIC CONSTRUCTION SCHEME ,0103 physical sciences ,ddc:530 ,Physical and Theoretical Chemistry ,Graphics ,ENERGY DECOMPOSITION ANALYSIS ,Physics ,Science & Technology ,010304 chemical physics ,Chemistry, Physical ,business.industry ,Suite ,GAUSSIAN-BASIS SETS ,Physik (inkl. Astronomie) ,Modular design ,3. Good health ,0104 chemical sciences ,MOLECULAR-ORBITAL METHODS ,Chemistry ,Diagrammatic reasoning ,Physical Sciences ,Perturbation theory (quantum mechanics) ,business ,Software engineering ,SELF-CONSISTENT-FIELD - Abstract
This article summarizes technical advances contained in the fifth major release of the Q-Chem quantum chemistry program package, covering developments since 2015. A comprehensive library of exchange–correlation functionals, along with a suite of correlated many-body methods, continues to be a hallmark of the Q-Chem software. The many-body methods include novel variants of both coupled-cluster and configuration-interaction approaches along with methods based on the algebraic diagrammatic construction and variational reduced density-matrix methods. Methods highlighted in Q-Chem 5 include a suite of tools for modeling core-level spectroscopy, methods for describing metastable resonances, methods for computing vibronic spectra, the nuclear–electronic orbital method, and several different energy decomposition analysis techniques. High-performance capabilities including multithreaded parallelism and support for calculations on graphics processing units are described. Q-Chem boasts a community of well over 100 active academic developers, and the continuing evolution of the software is supported by an “open teamware” model and an increasingly modular design. This article summarizes technical advances contained in the fifth major release of the Q-Chem quantum chemistry program package, covering developments since 2015. A comprehensive library of exchange-correlation functionals, along with a suite of correlated many-body methods, continues to be a hallmark of the Q-Chem software. The many-body methods include novel variants of both coupled-cluster and configuration-interaction approaches along with methods based on the algebraic diagrammatic construction and variational reduced density-matrix methods. Methods highlighted in Q-Chem 5 include a suite of tools for modeling core-level spectroscopy, methods for describing metastable resonances, methods for computing vibronic spectra, the nuclear-electronic orbital method, and several different energy decomposition analysis techniques. High-performance capabilities including multithreaded parallelism and support for calculations on graphics processing units are described. Q-Chem boasts a community of well over 100 active academic developers, and the continuing evolution of the software is supported by an "open teamware" model and an increasingly modular design.
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- 2021
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8. Challenges for large scale simulation: general discussion
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Weitao Yang, Tom J. P. Irons, Aurora Pribram-Jones, Kieron Burke, Duncan Gowland, Donald G. Truhlar, Michael F. Herbst, Pina Romaniello, Jack Wetherell, Christoph R. Jacob, Nikitas I. Gidopoulos, Jan Gerit Brandenburg, Ben Hourahine, Daniel J. Cole, Chris-Kriton Skylaris, Manasi R. Mulay, Katarzyna Pernal, Andreas Savin, Bartolomeo Civalleri, Dumitru Sirbu, Pierre François Loos, Matthew R. Ryder, Trygve Helgaker, Johannes Neugebauer, Nisha Mehta, Gábor Csányi, and Grégoire David
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Scale (ratio) ,Computer science ,Physical and Theoretical Chemistry ,Data science - Published
- 2020
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9. Quantifying the error of the core-valence separation approximation
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Michael F. Herbst, Thomas Fransson, Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), École des Ponts ParisTech (ENPC), MATHematics for MatERIALS (MATHERIALS), École des Ponts ParisTech (ENPC)-École des Ponts ParisTech (ENPC)-Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut des Sciences du Calcul et des Données (ISCD), Sorbonne Université (SU), Interdisciplinary Center for Scientific Computing (IWR), Universität Heidelberg [Heidelberg] = Heidelberg University, Department of Physics [Stockholm] (FYSIKUM), Stockholm University, Swedish Research Council (Grant No. 2017-00356), European Project: 810367,EMC2(2019), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), École des Ponts ParisTech (ENPC)-École des Ponts ParisTech (ENPC), and Universität Heidelberg [Heidelberg]
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Physics ,Chemical Physics (physics.chem-ph) ,Valence (chemistry) ,010304 chemical physics ,Absorption spectroscopy ,General Physics and Astronomy ,Propagator ,FOS: Physical sciences ,010402 general chemistry ,01 natural sciences ,0104 chemical sciences ,Computational physics ,[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistry ,Physics - Chemical Physics ,Ionization ,0103 physical sciences ,[PHYS.PHYS.PHYS-CHEM-PH]Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph] ,Physical and Theoretical Chemistry ,Basis set - Abstract
International audience For the calculation of core-excited states probed through X-ray absorption spectroscopy, the core-valence separation (CVS) scheme has become a vital tool. This approach allows to target such states with high specificity, albeit introducing an error. We report the implementation of a post-processing step for CVS excitations obtained within the algebraic-diagrammatic construction scheme for the polarisation propagator (ADC), which removes this error. Based on this we provide a detailed analysis of the CVS scheme, identifying its accuracy to be dominated by an error balance between two neglected couplings, one between core and valence single excitations and one between single and double core excitations. The selection of the basis set is shown to be vital for a proper description of both couplings, with tight polarising functions being necessary for a good balance of errors. The CVS error is confirmed to be stable across multiple systems, with an element-specific spread of only about $\pm$0.02 eV. A systematic lowering of the CVS error by 0.02-0.03 eV is noted when considering excitations to extremely diffuse states, emulating ionisation.
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- 2020
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10. A posteriori error estimation for the non-self-consistent Kohn-Sham equations
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Eric Cancès, Michael F. Herbst, Antoine Levitt, Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), École des Ponts ParisTech (ENPC), MATHematics for MatERIALS (MATHERIALS), École des Ponts ParisTech (ENPC)-École des Ponts ParisTech (ENPC)-Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Funding from: ISCD - Institut des Sciences du Calcul et des Données, European Project: 810367,EMC2(2019), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), and École des Ponts ParisTech (ENPC)-École des Ponts ParisTech (ENPC)
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FOS: Physical sciences ,Kohn–Sham equations ,010103 numerical & computational mathematics ,01 natural sciences ,Pseudopotential ,Bounding overwatch ,Convergence (routing) ,FOS: Mathematics ,Applied mathematics ,Mathematics - Numerical Analysis ,0101 mathematics ,Physical and Theoretical Chemistry ,Electronic band structure ,Basis set ,Mathematics ,Condensed Matter - Materials Science ,[PHYS.PHYS.PHYS-ATOM-PH]Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph] ,Rounding ,Materials Science (cond-mat.mtrl-sci) ,Numerical Analysis (math.NA) ,Computational Physics (physics.comp-ph) ,010101 applied mathematics ,[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistry ,[PHYS.COND.CM-MS]Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci] ,A priori and a posteriori ,Physics - Computational Physics - Abstract
International audience We address the problem of bounding rigorously the errors in the numerical solution of the Kohn-Sham equations due to (i) the finiteness of the basis set, (ii) the convergence thresholds in iterative procedures, (iii) the propagation of rounding errors in floating-point arithmetic. In this contribution, we compute fully-guaranteed bounds on the solution of the non-self-consistent equations in the pseudopotential approximation in a plane-wave basis set. We demonstrate our methodology by providing band structure diagrams of silicon annotated with error bars indicating the combined error.
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- 2020
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11. Polarizable Embedding Combined with the Algebraic Diagrammatic Construction: Tackling Excited States in Biomolecular Systems
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Maximilian Scheurer, Peter Reinholdt, Michael F. Herbst, Jógvan Magnus Haugaard Olsen, Andreas Dreuw, and Jacob Kongsted
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Models, Molecular ,Flavins/chemistry ,Electrons ,010402 general chemistry ,01 natural sciences ,Polarizability ,Flavins ,0103 physical sciences ,Aniline Compounds/chemistry ,Statistical physics ,Physical and Theoretical Chemistry ,Algebraic number ,Physics ,Aniline Compounds ,010304 chemical physics ,Water ,0104 chemical sciences ,Computer Science Applications ,Diagrammatic reasoning ,Third order ,Water/chemistry ,Excited state ,Scheme (mathematics) ,Quantum Theory ,Embedding ,Excitation - Abstract
We present a variant of the algebraic diagrammatic construction (ADC) scheme by combining ADC with the polarizable embedding (PE) model. The presented PE-ADC method is implemented through second and third order and is designed with the aim of performing accurate calculations of excited states in large molecular systems. Accuracy and large-scale applicability are demonstrated with three case studies, and we further analyze the importance of both state-specific and linear-response-type corrections to the excitation energies in the presence of the polarizable environment. We demonstrate how our combined method can be readily applied to study photoinduced biochemical processes as we model the charge-transfer (CT) excitation which is key to the photoprotection mechanism in the dodecin protein with PE-ADC(2). Through direct access to state-of-the-art excited state analysis, we find that the polarizable environment plays a decisive role by significantly increasing the CT character of the electronic excitation in dodecin. PE-ADC is thus suited to decipher photoinduced processes in complex, biomolecular systems at high precision and at reasonable computational cost.
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- 2018
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12. DFTK: A Julian approach for simulating electrons in solids
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Michael F. Herbst, Antoine Levitt, and Eric Cancès
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Materials science ,Electron ,Atomic physics - Published
- 2021
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13. adcc: A versatile toolkit for rapid development of algebraic-diagrammatic construction methods
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Dirk R. Rehn, Andreas Dreuw, Maximilian Scheurer, Michael F. Herbst, Thomas Fransson, Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), École des Ponts ParisTech (ENPC), MATHematics for MatERIALS (MATHERIALS), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), École des Ponts ParisTech (ENPC)-École des Ponts ParisTech (ENPC), Institut des Sciences du Calcul et des Données (ISCD), Sorbonne Université (SU), Interdisciplinary Center for Scientific Computing (IWR), Universität Heidelberg [Heidelberg], Department of Physics [Stockholm] (FYSIKUM), Stockholm University, German Research Foundation (DFG) research training group 'CLiC' (GRK 1986, Complex Light Control), Swedish Research Council (Grant No. 2017-00356), Heidelberg Graduate School of Mathematical and Computational Methods for the Sciences (GSC220), Computational time: bwHPC (bwForCluster MLS&WISO) and German Research Foundation (DFG), grant INST 35/1134-1 FUGG, École des Ponts ParisTech (ENPC)-École des Ponts ParisTech (ENPC)-Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), and Universität Heidelberg [Heidelberg] = Heidelberg University
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Computational chemistry ,Computer science ,Computational spectroscopy ,FOS: Physical sciences ,010402 general chemistry ,01 natural sciences ,Biochemistry ,Computational science ,Physics - Chemical Physics ,0103 physical sciences ,Materials Chemistry ,Physical and Theoretical Chemistry ,Algebraic number ,computer.programming_language ,Chemical Physics (physics.chem-ph) ,010304 chemical physics ,Spectroscopy methods ,Excited states ,Propagator ,Python (programming language) ,Computational Physics (physics.comp-ph) ,PySCF ,0104 chemical sciences ,Computer Science Applications ,[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistry ,Computational Mathematics ,Third order ,Diagrammatic reasoning ,Workflow ,Algebraic diagrammatic construction ,[PHYS.PHYS.PHYS-CHEM-PH]Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph] ,computer ,Physics - Computational Physics ,Python - Abstract
ADC-connect (adcc) is a hybrid python/C++ module for performing excited state calculations based on the algebraic-diagrammatic construction scheme for the polarisation propagator (ADC). Key design goal is to restrict adcc to this single purpose and facilitate connection to external packages, e.g., for obtaining the Hartree-Fock references, plotting spectra, or modelling solvents. Interfaces to four self-consistent field codes have already been implemented, namely pyscf, psi4, molsturm, and veloxchem. The computational workflow, including the numerical solvers, are implemented in python, whereas the working equations and other expensive expressions are done in C++. This equips adcc with adequate speed, making it a flexible toolkit for both rapid development of ADC-based computational spectroscopy methods as well as unusual computational workflows. This is demonstrated by three examples. Presently, ADC methods up to third order in perturbation theory are available in adcc, including the respective core-valence separation and spin-flip variants. Both restricted or unrestricted Hartree-Fock references can be employed., Comment: 32 pages, 7 figures
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- 2019
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14. Quantum chemistry with Coulomb Sturmians: Construction and convergence of Coulomb Sturmian basis sets at Hartree-Fock level
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Andreas Dreuw, James Avery, and Michael F. Herbst
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Physics ,Chemical Physics (physics.chem-ph) ,Angular momentum ,Basis (linear algebra) ,Atomic Physics (physics.atom-ph) ,Hartree–Fock method ,FOS: Physical sciences ,Electronic structure ,Computational Physics (physics.comp-ph) ,Quantum number ,01 natural sciences ,010305 fluids & plasmas ,Physics - Atomic Physics ,Physics - Chemical Physics ,0103 physical sciences ,Coulomb ,Exponent ,Physics::Atomic Physics ,010306 general physics ,Wave function ,Physics - Computational Physics ,Mathematical physics - Abstract
The first discussion of basis sets consisting of exponentially decaying Coulomb Sturmian functions for modelling electronic structures is presented. The proposed basis set construction selects Coulomb Sturmian functions using separate upper limits to their principle, angular momentum and magnetic quantum numbers. Their common Coulomb Sturmian exponent is taken as a fourth parameter. The convergence properties of such basis sets are investigated for second and third row atoms at the Hartree-Fock level. Thereby important relations between the values of the basis set parameters and the physical properties of the electronic structure are recognised. For example, an unusually large limit for the angular momentum quantum number in unrestricted Hartree-Fock calculations can be linked to the breaking of spherical symmetry in such cases. Furthermore, a connection between the optimal, i.e. minimum-energy, Coulomb Sturmian exponent and the average Slater exponents values obtained by Clementi and Raimondi (E. Clementi and D. L. Raimondi, J. Chem. Phys. 38, 2686 (1963)) is made. These features of Coulomb Sturmian basis sets emphasise their ability to correctly reproduce the physical features of Hartree-Fock wave functions., 16 pages, 14 figures, supporting info
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- 2018
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15. Toward quantum-chemical method development for arbitrary basis functions
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James Avery, Michael F. Herbst, and Andreas Dreuw
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Computer science ,FOS: Physical sciences ,General Physics and Astronomy ,Basis function ,Electronic structure ,010402 general chemistry ,01 natural sciences ,Computational science ,Software ,Physics - Chemical Physics ,0103 physical sciences ,Physical and Theoretical Chemistry ,Wave function ,computer.programming_language ,Chemical Physics (physics.chem-ph) ,010304 chemical physics ,business.industry ,Computational Physics (physics.comp-ph) ,Python (programming language) ,Method development ,0104 chemical sciences ,Quantum chemical method ,Open standard ,business ,Physics - Computational Physics ,computer - Abstract
We present the design of a flexible quantum-chemical method development framework, which supports employing any type of basis function. This design has been implemented in the light-weight program package molsturm, yielding a basis-function-independent self-consistent field scheme. Versatile interfaces, making use of open standards like python, mediate the integration of molsturm with existing third-party packages. In this way both rapid extension of the present set of methods for electronic structure calculations as well as adding new basis function types can be readily achieved. This makes molsturm well-suitable for testing novel approaches for discretising the electronic wave function and allows comparing them to existing methods using the same software stack. This is illustrated by two examples, an implementation of coupled-cluster doubles as well as a gradient-free geometry optimisation, where in both cases, an arbitrary basis functions could be used. molsturm is open-source and can be obtained from https://molsturm.org., Comment: 15 pages and 7 figures
- Published
- 2018
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