Highly correlated calculations with a polynomial cost algorithm: A study of the density matrix renormalization group
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TLDR
In this paper, a density matrix renormalization group (DMRG) algorithm was proposed for quantum chemistry problems, such as the water molecule, the twisting barrier of ethene, and the dissociation of nitrogen.Citations
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Advances in methods and algorithms in a modern quantum chemistry program package
Yihan Shao,Laszlo Fusti Molnar,Yousung Jung,Jörg Kussmann,Christian Ochsenfeld,Shawn T. Brown,Andrew T. B. Gilbert,Lyudmila V. Slipchenko,Sergey V. Levchenko,Darragh P. O’Neill,Robert A. DiStasio,Rohini C. Lochan,Tao Wang,Gregory J. O. Beran,Nicholas A. Besley,John M. Herbert,Ching Yeh Lin,Troy Van Voorhis,Siu Hung Chien,Alexander J. Sodt,Ryan P. Steele,Vitaly A. Rassolov,Paul E. Maslen,Prakashan P. Korambath,Ross D. Adamson,Brian Austin,Jon Baker,Edward F. C. Byrd,Holger Dachsel,Robert J. Doerksen,Andreas Dreuw,Barry D. Dunietz,Anthony D. Dutoi,Thomas R. Furlani,Steven R. Gwaltney,Andreas Heyden,So Hirata,Chao-Ping Hsu,Gary S. Kedziora,Rustam Z. Khalliulin,Phil Klunzinger,Aaron M. Lee,Michael S. Lee,WanZhen Liang,Itay Lotan,Nikhil Nair,Baron Peters,Emil Proynov,Piotr A. Pieniazek,Young Min Rhee,Jim Ritchie,Edina Rosta,C. David Sherrill,Andrew C. Simmonett,Joseph E. Subotnik,H. Lee Woodcock,Weimin Zhang,Alexis T. Bell,Arup K. Chakraborty,Daniel M. Chipman,Frerich J. Keil,Arieh Warshel,Warren J. Hehre,Henry F. Schaefer,Jing Kong,Anna I. Krylov,Peter Gill,Martin Head-Gordon,Martin Head-Gordon +68 more
TL;DR: Specific developments discussed include fast methods for density functional theory calculations, linear scaling evaluation of energies, NMR chemical shifts and electric properties, fast auxiliary basis function methods for correlated energies and gradients, equation-of-motion coupled cluster methods for ground and excited states, geminal wavefunctions, embedding methods and techniques for exploring potential energy surfaces.
Journal ArticleDOI
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package
Yihan Shao,Zhengting Gan,Evgeny Epifanovsky,Andrew T. B. Gilbert,Michael Wormit,Joerg Kussmann,Adrian W. Lange,Andrew Behn,Jia Deng,Xintian Feng,Debashree Ghosh,Matthew Goldey,Paul R. Horn,Leif D. Jacobson,Ilya Kaliman,Rustam Z. Khaliullin,Tomasz Kuś,Arie Landau,Jie Liu,Emil Proynov,Young Min Rhee,Ryan M. Richard,Mary A. Rohrdanz,Ryan P. Steele,Eric J. Sundstrom,H. Lee Woodcock,Paul M. Zimmerman,Dmitry Zuev,Ben Albrecht,Ethan Alguire,Brian J. Austin,Gregory J. O. Beran,Yves A. Bernard,Eric J. Berquist,Kai Brandhorst,Ksenia B. Bravaya,Shawn T. Brown,David Casanova,Chun-Min Chang,Yunqing Chen,Siu Hung Chien,Kristina D. Closser,Deborah L. Crittenden,Michael Diedenhofen,Robert A. DiStasio,Hainam Do,Anthony D. Dutoi,Richard G. Edgar,Shervin Fatehi,Laszlo Fusti-Molnar,An Ghysels,Anna Golubeva-Zadorozhnaya,Joseph Gomes,Magnus W. D. Hanson-Heine,Philipp H. P. Harbach,Andreas W. Hauser,Edward G. Hohenstein,Zachary C. Holden,Thomas-C. Jagau,Hyunjun Ji,Benjamin Kaduk,Kirill Khistyaev,Jae-Hoon Kim,Jihan Kim,Rollin A. King,Phil Klunzinger,Dmytro Kosenkov,Tim Kowalczyk,Caroline M. Krauter,Ka Un Lao,Adèle D. Laurent,Keith V. Lawler,Sergey V. Levchenko,Ching Yeh Lin,Fenglai Liu,Ester Livshits,Rohini C. Lochan,Arne Luenser,Prashant Uday Manohar,Samuel F. Manzer,Shan-Ping Mao,Narbe Mardirossian,Aleksandr V. Marenich,Simon A. Maurer,Nicholas J. Mayhall,Eric Neuscamman,C. Melania Oana,Roberto Olivares-Amaya,Darragh P. O’Neill,John Parkhill,Trilisa M. Perrine,Roberto Peverati,Alexander Prociuk,Dirk R. Rehn,Edina Rosta,Nicholas J. Russ,Shaama Mallikarjun Sharada,Sandeep Sharma,David W. Small,Alexander J. Sodt,Tamar Stein,David Stück,Yu-Chuan Su,Alex J. W. Thom,Takashi Tsuchimochi,Vitalii Vanovschi,Leslie Vogt,Oleg A. Vydrov,Tao Wang,Mark A. Watson,Jan Wenzel,Alec F. White,Christopher F. Williams,Jun Yang,Sina Yeganeh,Shane R. Yost,Zhi-Qiang You,Igor Ying Zhang,Xing Zhang,Yan Zhao,Bernard R. Brooks,Garnet Kin-Lic Chan,Daniel M. Chipman,Christopher J. Cramer,William A. Goddard,Mark S. Gordon,Warren J. Hehre,Andreas Klamt,Henry F. Schaefer,Michael W. Schmidt,C. David Sherrill,Donald G. Truhlar,Arieh Warshel,Xin Xu,Alán Aspuru-Guzik,Roi Baer,Alexis T. Bell,Nicholas A. Besley,Jeng-Da Chai,Andreas Dreuw,Barry D. Dunietz,Thomas R. Furlani,Steven R. Gwaltney,Chao-Ping Hsu,Yousung Jung,Jing Kong,Daniel S. Lambrecht,WanZhen Liang,Christian Ochsenfeld,Vitaly A. Rassolov,Lyudmila V. Slipchenko,Joseph E. Subotnik,Troy Van Voorhis,John M. Herbert,Anna I. Krylov,Peter Gill,Martin Head-Gordon +156 more
TL;DR: A summary of the technical advances that are incorporated in the fourth major release of the Q-Chem quantum chemistry program is provided in this paper, covering approximately the last seven years, including developments in density functional theory and algorithms, nuclear magnetic resonance (NMR) property evaluation, coupled cluster and perturbation theories, methods for electronically excited and open-shell species, tools for treating extended environments, algorithms for walking on potential surfaces, analysis tools, energy and electron transfer modelling, parallel computing capabilities, and graphical user interfaces.
Journal ArticleDOI
The density-matrix renormalization group
TL;DR: The density-matrix renormalization group (DMRG) as mentioned in this paper is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription.
RESEARCH ARTICLE Advances in molecular quantum chemistry contained in the Q-Chem 4 program package
Yihan Shao,Zhengting Gan,Evgeny Epifanovsky,Michael Wormit,Joerg Kussmann,Adrian W. Lange,Andrew Behn,Jia Deng,Xintian Feng,Debashree Ghosh,Matthew Goldey,Paul R. Horn,L eif,J ie Liu,I. Proynov,Ryan M. Richard,Mary A. Rohrdanz,Ryan P. Steele,Eric J. Sundstrom,H. Lee Woodcock,Dmitry Zuev,Ben Albrecht,Ethan Alguire,Brian Austin,Gregory J. O. Beran,Yves A. Bernard,Eric Berquist,Kai Brandhorst,Ksenia B. Bravaya,Shawn T. Brown,David Casanova,Chun-Min Chang,Yunqing Chen,Siu Hung Chien,Kristina D. Closser,Deborah L. Crittenden,Hainam Do,Anthony D. Dutoi,Richard G. Edgar r,Laszlo Fusti-Molnar,Anna Golubeva-Zadorozhnaya,Joseph Gomes,Andreas W. Hauser,Edward G. Hohenstein,Zachary C. Holden +44 more
TL;DR: Detailed benchmarks of the comparative accuracy of modern density functionals for bonded and non-bonded interactions, tests of attenuated second order Møller–Plesset methods for intermolecular interactions, and tests of the accuracy of implicit solvation models are provided.
Journal ArticleDOI
PySCF: the Python-based simulations of chemistry framework
Qiming Sun,Timothy C. Berkelbach,Nick S. Blunt,Nick S. Blunt,George H. Booth,Sheng Guo,Sheng Guo,Zhendong Li,Junzi Liu,James McClain,James McClain,Elvira R. Sayfutyarova,Elvira R. Sayfutyarova,Sandeep Sharma,Sebastian Wouters,Garnet Kin-Lic Chan +15 more
TL;DR: The capabilities and design philosophy of the current version of the PySCF package are document, which is as efficient as the best existing C or Fortran‐based quantum chemistry programs.
References
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Self‐consistent molecular orbital methods. XX. A basis set for correlated wave functions
TL;DR: In this article, a contract Gaussian basis set (6•311G) was developed by optimizing exponents and coefficients at the Mo/ller-Plesset (MP) second-order level for the ground states of first-row atoms.
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Electron affinities of the first-row atoms revisited. Systematic basis sets and wave functions
TL;DR: In this paper, a reliable procedure for calculating the electron affinity of an atom and present results for hydrogen, boron, carbon, oxygen, and fluorine (hydrogen is included for completeness).
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Self‐consistent molecular orbital methods 25. Supplementary functions for Gaussian basis sets
TL;DR: In this paper, a modified basis set of supplementary diffuse s and p functions, multiple polarization functions (double and triple sets of d functions), and higher angular momentum polarization functions were defined for use with the 6.31G and 6.311G basis sets.
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Density matrix formulation for quantum renormalization groups
TL;DR: A generalization of the numerical renormalization-group procedure used first by Wilson for the Kondo problem is presented and it is shown that this formulation is optimal in a certain sense.
Journal ArticleDOI
Gaussian Basis Functions for Use in Molecular Calculations. III. Contraction of (10s6p) Atomic Basis Sets for the First‐Row Atoms
TL;DR: In this paper, the effects of contraction on the energies and one-electron properties of the water and nitrogen molecules were investigated, and the authors obtained principles which can be used to predict optimal contraction schemes for other systems without the necessity of such exhaustive calculations.