1
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Huber TB, Wheeler RA. Fixed-node diffusion Monte Carlo shows promise for modeling reaction thermochemistry of hydrocarbon-based radicals. J Chem Phys 2024; 161:034303. [PMID: 39007382 DOI: 10.1063/5.0211903] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/02/2024] [Accepted: 06/12/2024] [Indexed: 07/16/2024] Open
Abstract
Reliable thermodynamic and kinetic properties of free radical polymerization reactions are essential for synthesizing both primary polymeric materials and specialty polymers. The computational generation of these data from quantum chemistry requires a time-efficient method capable of capturing the essential physics. One such method, fixed-node diffusion Monte Carlo (FN-DMC) (using single Slater-Jastrow trial wavefunctions), has demonstrated the capability to recover 90%-95% of missing dynamic correlation energy for typical systems. In this study, methyl radical addition to ethylene serves as a simple model to test FN-DMC's ability to calculate enthalpies of reaction and activation energies with different time steps, antisymmetric trial wavefunctions, basis set sizes, and effective core potentials. The FN-DMC computational protocol thus defined for methyl radical addition to ethylene is subsequently benchmarked against Weizmann-1 and experimental reaction enthalpies from Lin et al.'s test set of 21 radical addition and 28 hydrogen abstraction enthalpies. Our findings reveal that FN-DMC consistently generates reaction enthalpies with chemical accuracy, exhibiting mean absolute deviation of 3.5(7) and 1.4(8) kJ/mol from the Weizmann-1 reference for radical addition and hydrogen abstraction reactions, respectively. Given its favorable computational scaling and high degree of parallelizability, we, therefore, recommend more comprehensive testing of FN-DMC with effective core potentials to address more extensive and intricate polymerization reactions and reactions with other radicals.
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Affiliation(s)
- Timothy B Huber
- Department of Chemistry and Biochemistry, Northern Illinois University, 1425 W Lincoln Hwy, Dekalb, Illinois 60115, USA
| | - Ralph A Wheeler
- Department of Chemistry and Biochemistry, Northern Illinois University, 1425 W Lincoln Hwy, Dekalb, Illinois 60115, USA
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2
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Jaffe NB, Stanton JF, Heaven MC. Photoelectron Velocity Map Imaging Spectroscopy of the Beryllium Trimer and Tetramer. J Phys Chem Lett 2023; 14:8339-8344. [PMID: 37699253 PMCID: PMC10518861 DOI: 10.1021/acs.jpclett.3c02169] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2023] [Accepted: 09/08/2023] [Indexed: 09/14/2023]
Abstract
Computational studies of small beryllium clusters (BeN) predict dramatic, nonmonotonic changes in the bonding mechanisms and per-atom cohesion energies with increasing N. To date, experimental tests of these quantum chemistry models are lacking for all but the Be2 molecule. In the present study, we report spectroscopic data for Be3 and Be4 obtained via anion photodetachment spectroscopy. The trimer is predicted to have D3h symmetric equilibrium structures for both the neutral molecule and the anion. Photodetachment spectra reveal transitions that originate from the X2A2″ ground state and the 12A1' electronically excited state. The state symmetries were assigned on the basis of anisotropic photoelectron angular distributions. The neutral and anionic forms of Be4 are predicted to be tetrahedral. Franck-Condon diagonal photodetachment was observed with a photoelectron angular distribution consistent with the expected Be4-X2A1 → Be4X1A1 transition. The electron affinities of Be3 and Be4 were determined to be 11363 ± 60 and 13052 ± 50 cm-1, respectively.
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Affiliation(s)
- Noah B. Jaffe
- Department
of Chemistry, Emory University, Atlanta, Georgia 30322, United States
| | - John F. Stanton
- Department
of Chemistry - Quantum Theory Project, University
of Florida, Gainesville, Florida 32611, United States
| | - Michael C. Heaven
- Department
of Chemistry, Emory University, Atlanta, Georgia 30322, United States
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3
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Interactions between large molecules pose a puzzle for reference quantum mechanical methods. Nat Commun 2021; 12:3927. [PMID: 34168142 PMCID: PMC8225865 DOI: 10.1038/s41467-021-24119-3] [Citation(s) in RCA: 45] [Impact Index Per Article: 15.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2020] [Accepted: 06/02/2021] [Indexed: 02/05/2023] Open
Abstract
Quantum-mechanical methods are used for understanding molecular interactions throughout the natural sciences. Quantum diffusion Monte Carlo (DMC) and coupled cluster with single, double, and perturbative triple excitations [CCSD(T)] are state-of-the-art trusted wavefunction methods that have been shown to yield accurate interaction energies for small organic molecules. These methods provide valuable reference information for widely-used semi-empirical and machine learning potentials, especially where experimental information is scarce. However, agreement for systems beyond small molecules is a crucial remaining milestone for cementing the benchmark accuracy of these methods. We show that CCSD(T) and DMC interaction energies are not consistent for a set of polarizable supramolecules. Whilst there is agreement for some of the complexes, in a few key systems disagreements of up to 8 kcal mol-1 remain. These findings thus indicate that more caution is required when aiming at reproducible non-covalent interactions between extended molecules.
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4
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Carvalho CMC, Gargano R, Martins JBL, Politi JRS. Accurate spectroscopic properties by diffusion quantum Monte Carlo calculations. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2020; 243:118707. [PMID: 32827906 DOI: 10.1016/j.saa.2020.118707] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/28/2020] [Revised: 07/05/2020] [Accepted: 07/13/2020] [Indexed: 06/11/2023]
Abstract
The capability of Diffusion Quantum Monte Carlo (DMC) to produce high quality potential energy curve (PEC) was evaluated. H2+, HeH+ and LiH PECs were built by all-electron fixed-node DMC calculations. Trial wave functions were obtained from Hartree-Fock (HF) (H2+), MCSCF and CI (HeH+ and LiH) calculations multiplied by Jastrow factor. The quality of these generated PECs was analyzed throughout equilibrium distance, dissociation energy, vibrational energies and rovibrational spectroscopic constants (ωe, ωexe, ωeye, αe, γe and Be). The Discrete Variable Representation (DVR) and the Dunham approaches were used to determine the rovibrational spectroscopic constants. The PECs and the aforementioned properties were also obtained by the following methods: MCSCF/aug-cc-pV5Z (LiH), CCSD(T)/aug-cc-pV5Z (HeH+ and LiH) and HF (H2+ and HeH+) levels. The results of these DMC computations, specially the DMC-DVR procedure, are the most accurate among others DMC calculations available in the literature for these systems. They suggest that DMC can be used to achieve accurate PECs to produce spectroscopic properties with the same level of accuracy of theoretical benchmarks and experimental data of the literature.
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Affiliation(s)
- Cassius M C Carvalho
- Institute of Chemistry, University of Brasília, Campus Darcy Ribeiro, Brasília, DF, Brazil
| | - Ricardo Gargano
- Institute of Physics, University of Brasília, Campus Darcy Ribeiro, Brasília, DF, Brazil
| | - João B L Martins
- Institute of Chemistry, University of Brasília, Campus Darcy Ribeiro, Brasília, DF, Brazil
| | - José Roberto S Politi
- Institute of Chemistry, University of Brasília, Campus Darcy Ribeiro, Brasília, DF, Brazil.
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5
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Nasiri S, Zahedi M. Quantum Monte Carlo simulations using Slater-Jastrow-backflow wave function. COMPUT THEOR CHEM 2020. [DOI: 10.1016/j.comptc.2020.112978] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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6
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Lesiuk M, Przybytek M, Balcerzak JG, Musiał M, Moszynski R. Ab initio Potential Energy Curve for the Ground State of Beryllium Dimer. J Chem Theory Comput 2019; 15:2470-2480. [DOI: 10.1021/acs.jctc.8b00845] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Michał Lesiuk
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - Michał Przybytek
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | | | - Monika Musiał
- Institute of Chemistry, University of Silesia, Szkolna 9, 40-006 Katowice, Poland
| | - Robert Moszynski
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
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7
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8
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Rishi V, Perera A, Bartlett RJ. Behind the success of modified coupled-cluster methods: addition by subtraction. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1492748] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Varun Rishi
- Quantum Theory Project, University of Florida, Gainesville, FL, USA
- Department of Chemistry, Virginia Tech, Blacksburg, VA, USA
| | - Ajith Perera
- Quantum Theory Project, University of Florida, Gainesville, FL, USA
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9
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Gasperich K, Deible M, Jordan KD. H4: A model system for assessing the performance of diffusion Monte Carlo calculations using a single Slater determinant trial function. J Chem Phys 2017; 147:074106. [DOI: 10.1063/1.4986216] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Kevin Gasperich
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
| | - Michael Deible
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
| | - Kenneth D. Jordan
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
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10
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Nasiri S, Zahedi M. Coupled Cluster and Quantum Monte-Carlo potential energy curves of the ground state of Be 2 and Be 2 + molecules. COMPUT THEOR CHEM 2017. [DOI: 10.1016/j.comptc.2017.04.009] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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11
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Al-Hamdani YS, Alfè D, Michaelides A. How strongly do hydrogen and water molecules stick to carbon nanomaterials? J Chem Phys 2017. [DOI: 10.1063/1.4977180] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yasmine S. Al-Hamdani
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Chemistry, University College London, 20 Gordon Street, London WC1H 0AJ, United Kingdom
| | - Dario Alfè
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Earth Sciences, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Angelos Michaelides
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
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12
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Dubecký M. Bias cancellation in one-determinant fixed-node diffusion Monte Carlo: Insights from fermionic occupation numbers. Phys Rev E 2017; 95:033308. [PMID: 28415179 DOI: 10.1103/physreve.95.033308] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2016] [Indexed: 06/07/2023]
Abstract
The accuracy of the fixed-node diffusion Monte Carlo (FNDMC) depends on the node location of the supplied trial state Ψ_{T}. The practical FNDMC approaches available for large systems rely on compact yet effective Ψ_{T}, most often containing an explicitly correlated single Slater determinant (SD). However, SD nodes may be better suited to one system than to another, which may possibly lead to inaccurate FNDMC energy differences. It remains a challenge how to estimate nonequivalence or appropriateness of SDs. Here we use the differences of a measure based on the Euclidean distance between the natural orbital occupation number (NOON) vector of the SD and the exact solution in the NOON vector space, which can be viewed as a measure of SD nonequivalence and as a qualitative measure of the expected degree of nondynamic-correlation-related bias in FNDMC energy differences. This is explored on a set of small noncovalent complexes and covalent bond breaking of Si_{2} vs N_{2}. It turns out that NOON-based measures well reflect the magnitude and sign of the bias present in the data available, thus providing insights into the nature of bias cancellation in SD FNDMC energy differences.
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Affiliation(s)
- Matúš Dubecký
- Department of Physics, Faculty of Science, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic and ATRI, Faculty of Materials Science and Technology, Slovak University of Technology, Paulínska 16, 917 24 Trnava, Slovakia
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13
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Mascaritolo KJ, Dermer AR, Green ML, Gardner AM, Heaven MC. Photodetachment spectroscopy of the beryllium oxide anion, BeO . J Chem Phys 2017; 146:054301. [PMID: 28178838 DOI: 10.1063/1.4974843] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The X2Σ+→X1Σ+ anion to neutral ground state photodetachment of BeO- has been studied by means of photoelectron velocity-map imaging spectroscopy in a newly constructed apparatus. Vibrational intervals, rotational constants, and the electron detachment threshold of BeO- were determined for the first time. The small moment of inertia of beryllium oxide allowed for the observation of partially resolved rotational contours. Analyses of these contours provided evidence of several detachment channels resulting from changes in molecular rotational angular momenta of ΔN = 0, ±1, ±2, and ±3. The relative intensities of these detachment channels were found to be a function of the electron kinetic energy. Experimental results are compared to the predictions of high level ab initio calculations.
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Affiliation(s)
| | - Amanda R Dermer
- Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
| | - Mallory L Green
- Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
| | - Adrian M Gardner
- Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
| | - Michael C Heaven
- Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
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14
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Powell AD, Dawes R. Calculating potential energy curves with fixed-node diffusion Monte Carlo: CO and N2. J Chem Phys 2016; 145:224308. [DOI: 10.1063/1.4971378] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Andrew D. Powell
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
| | - Richard Dawes
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
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15
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Kalemos A. The nature of the chemical bond in Be2+, Be2, Be2−, and Be3. J Chem Phys 2016; 145:214302. [DOI: 10.1063/1.4967819] [Citation(s) in RCA: 46] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Apostolos Kalemos
- Laboratory of Physical Chemistry, Department of Chemistry, National and Kapodistrian University of Athens, Panepistimiopolis, Athens 157 71, Greece
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16
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Doblhoff-Dier K, Meyer J, Hoggan PE, Kroes GJ, Wagner LK. Diffusion Monte Carlo for Accurate Dissociation Energies of 3d Transition Metal Containing Molecules. J Chem Theory Comput 2016; 12:2583-97. [DOI: 10.1021/acs.jctc.6b00160] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Katharina Doblhoff-Dier
- Leiden
Institute of Chemistry, Gorlaeus Laboratories, Leiden University, Post Office Box 9502, 2300 RA Leiden, Netherlands
| | - Jörg Meyer
- Leiden
Institute of Chemistry, Gorlaeus Laboratories, Leiden University, Post Office Box 9502, 2300 RA Leiden, Netherlands
| | - Philip E. Hoggan
- Institute
Pascal, UMR 6602 CNRS, University Blaise Pascal, 4 avenue Blaise
Pascal, TSA 60026, CS 60026, 63178 Aubiere Cedex, France
| | - Geert-Jan Kroes
- Leiden
Institute of Chemistry, Gorlaeus Laboratories, Leiden University, Post Office Box 9502, 2300 RA Leiden, Netherlands
| | - Lucas K. Wagner
- Department
of Physics, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
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17
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Affiliation(s)
- Matúš Dubecký
- Regional
Centre of Advanced Technologies and Materials, Department of Physical
Chemistry, Faculty of Science, Palacký University Olomouc, tř.
17 listopadu 12, 771 46 Olomouc, Czech Republic
| | - Lubos Mitas
- Department
of Physics and CHiPS, North Carolina State University, Raleigh, North Carolina 27695, United States
| | - Petr Jurečka
- Regional
Centre of Advanced Technologies and Materials, Department of Physical
Chemistry, Faculty of Science, Palacký University Olomouc, tř.
17 listopadu 12, 771 46 Olomouc, Czech Republic
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18
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Cleland DM, Per MC. Performance of quantum Monte Carlo for calculating molecular bond lengths. J Chem Phys 2016; 144:124108. [DOI: 10.1063/1.4944826] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Deidre M. Cleland
- CSIRO Virtual Nanoscience Laboratory, 343 Royal Parade, Parkville, Victoria 3052, Australia
| | - Manolo C. Per
- CSIRO Virtual Nanoscience Laboratory, 343 Royal Parade, Parkville, Victoria 3052, Australia
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19
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Brea O, Mó O, Yáñez M, Alkorta I, Elguero J. On the existence of intramolecular one-electron Be–Be bonds. Chem Commun (Camb) 2016; 52:9656-9. [DOI: 10.1039/c6cc04350j] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The electron attachment to 1,8-diBeX-naphthalene derivatives leads to rather stable radical anions through the formation of one-electron Be–Be bonds.
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Affiliation(s)
- Oriana Brea
- Departamento de Química
- Facultad de Ciencias
- Universidad Autónoma de Madrid
- Campus de Excelencia UAM-CSIC
- 28049-Madrid
| | - Otilia Mó
- Departamento de Química
- Facultad de Ciencias
- Universidad Autónoma de Madrid
- Campus de Excelencia UAM-CSIC
- 28049-Madrid
| | - Manuel Yáñez
- Departamento de Química
- Facultad de Ciencias
- Universidad Autónoma de Madrid
- Campus de Excelencia UAM-CSIC
- 28049-Madrid
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20
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Gasperich K, Jordan KD. Diffusion Monte Carlo Study of the Parallel Displaced Form of the Benzene Dimer. ACS SYMPOSIUM SERIES 2016. [DOI: 10.1021/bk-2016-1234.ch007] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/05/2022]
Affiliation(s)
- Kevin Gasperich
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, United States
| | - Kenneth D. Jordan
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, United States
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