1
|
Aerts A, Schaefer MR, Brown A. Adaptive Fitting of Potential Energy Surfaces of Small to Medium-Sized Molecules in Sum-of-Product Form: Application to Vibrational Spectroscopy. J Chem Phys 2022; 156:164106. [DOI: 10.1063/5.0089570] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A semi-automatic sampling and fitting procedure for generating sum-of-product (Born-Oppenheimer) potential energy surfaces based on a high-dimensional model representation is presented. The adaptive sampling procedure and subsequent fitting relies on energies only and can be used for re-fitting existing analytic potential energy surfaces in sum-of-product form or for direct fits from ab initio computa- tions. The method is tested by fitting ground electronic state potential energy surfaces for small to medium sized semi-rigid molecules, i.e., HFCO, HONO, and HCOOH, based upon ab initio computations at the CCSD(T)-F12/cc-pVTZ-F12 or MP2/aug-cc-pVTZ levels of theory. Vibrational eigenstates are computed using block improved relaxation in the Heidelberg MCTDH package and compared to available experimental and theoretical data. The new potential energy surfaces are compared to the best ones currently available for these molecules, in terms of accuracy, including of resulting vibrational states, required numbers of sampling points, and number of fitting parameters. The present procedure leads to compact expansions and scales well with the number of dimensions for simple potentials such as single or double wells.
Collapse
Affiliation(s)
| | | | - Alex Brown
- Department of Chemistry, University of Alberta, Canada
| |
Collapse
|
2
|
Mendive-Tapia D, Meyer HD. Regularizing the MCTDH equations of motion through an optimal choice on-the-fly (i.e., spawning) of unoccupied single-particle functions. J Chem Phys 2020; 153:234114. [DOI: 10.1063/5.0035581] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- David Mendive-Tapia
- Theoretische Chemie, Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
| | - Hans-Dieter Meyer
- Theoretische Chemie, Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
| |
Collapse
|
3
|
Qian W, Chu X, Song C, Wu Z, Jiao M, Liu H, Zou B, Rauhut G, Tew DP, Wang L, Zeng X. Hydrogen-Atom Tunneling in Metaphosphorous Acid. Chemistry 2020; 26:8205-8209. [PMID: 32302021 DOI: 10.1002/chem.202000844] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2020] [Indexed: 11/08/2022]
Abstract
Metaphosphorous acid (HOPO), a key intermediate in phosphorus chemistry, has been generated in syn- and anti-conformations in the gas phase by high-vacuum flash pyrolysis (HVFP) of a molecular precursor ethoxyphosphinidene oxide (EtOPO→C2 H4 +HOPO) at ca. 1000 K and subsequently trapped in an N2 -matrix at 2.8 K. Unlike the two conformers of the nitrogen analogue HONO, the anti-conformer of HOPO undergoes spontaneous rotamerization at 2.8 K via hydrogen-atom tunneling (HAT) with noticeable kinetic isotope effects for H/D (>104 for DOPO) and 16 O/18 O (1.19 for H18 OPO and 1.06 for HOP18 O) in N2 -matrices.
Collapse
Affiliation(s)
- Weiyu Qian
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China
| | - Xianxu Chu
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China
| | - Chao Song
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China
| | - Zhuang Wu
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China
| | - Mengqi Jiao
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China
| | - Hanwen Liu
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China
| | - Bin Zou
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China
| | - Guntram Rauhut
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, Stuttgart, 70569, Germany
| | - David P Tew
- Max-Planck Institute for Solid State Research, Heisenbergstraße 1, Stuttgart, 70569, Germany
| | - Lina Wang
- Department of Chemistry, Fudan University, Shanghai, 200433, China
| | - Xiaoqing Zeng
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, 215123, Suzhou, China.,Department of Chemistry, Fudan University, Shanghai, 200433, China
| |
Collapse
|
4
|
Szalay V, Viglaska D, Rey M. Internal- and rho-axis systems of molecules with one large amplitude internal motion: The geometry of rho. J Chem Phys 2018; 149:244118. [PMID: 30599722 DOI: 10.1063/1.5056217] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The internal-axis system (IAS) of molecules with a large amplitude internal motion (LAM) is determined by integrating the kinematic equation of the IAS by Lie-group and Lie-algebraic methods. Numerical examples on hydrogen peroxide, nitrous acid, and acetaldehyde demonstrate the methods. By exploiting the special product structure of the solution matrix, simple methods are devised for calculating the transformation to the rho-axis system (RAS) along with the value of the parameter ρ characterizing a RAS rotational-LAM kinetic energy operator. The parameter ρ so calculated agrees exactly with that one obtained by the Floquet method as shown in the example of acetaldehyde. Geometrical interpretation of ρ is given. The advantageous property of the RAS over the IAS in retaining simple periodic boundary conditions is numerically demonstrated.
Collapse
Affiliation(s)
- Viktor Szalay
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary
| | - Dominika Viglaska
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
| | - Michael Rey
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
| |
Collapse
|
5
|
Brown A, Pradhan E. Fitting potential energy surfaces to sum-of-products form with neural networks using exponential neurons. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2017. [DOI: 10.1142/s0219633617300014] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In this paper, the use of the neural network (NN) method with exponential neurons for directly fitting ab initio data to generate potential energy surfaces (PESs) in sum-of-product form will be discussed. The utility of the approach will be highlighted using fits of CS2, HFCO, and HONO ground state PESs based upon high-level ab initio data. Using a generic interface between the neural network PES fitting, which is performed in MATLAB, and the Heidelberg multi-configuration time-dependent Hartree (MCTDH) software package, the PESs have been tested via comparison of vibrational energies to experimental measurements. The review demonstrates the potential of the PES fitting method, combined with MCTDH, to tackle high-dimensional quantum dynamics problems.
Collapse
Affiliation(s)
- Alex Brown
- Department of Chemistry, University of Alberta, Edmonton, AB, T6G 2G2, Canada
| | - E. Pradhan
- Department of Chemistry, University of Alberta, Edmonton, AB, T6G 2G2, Canada
| |
Collapse
|
6
|
Mendive-Tapia D, Firmino T, Meyer HD, Gatti F. Towards a systematic convergence of Multi-Layer (ML) Multi-Configuration Time-Dependent Hartree nuclear wavefunctions: The ML-spawning algorithm. Chem Phys 2017. [DOI: 10.1016/j.chemphys.2016.08.031] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
|
7
|
Pradhan E, Brown A. A ground state potential energy surface for HONO based on a neural network with exponential fitting functions. Phys Chem Chem Phys 2017; 19:22272-22281. [DOI: 10.1039/c7cp04010e] [Citation(s) in RCA: 30] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Using CCSD(T)-F12/cc-pVTZ-F12 and CCSD(T)/CBS ab initio energies, two different six-dimensional ground state potential energy surfaces for HONO have been fit in sum-of-products form using neural network exponential fitting functions and tested by computing vibrational energies with MCTDH.
Collapse
Affiliation(s)
| | - Alex Brown
- Department of Chemistry
- University of Alberta
- Edmonton
- Canada
| |
Collapse
|
8
|
Pradhan E, Brown A. Vibrational energies for HFCO using a neural network sum of exponentials potential energy surface. J Chem Phys 2016; 144:174305. [DOI: 10.1063/1.4948440] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Ekadashi Pradhan
- Department of Chemistry, University of Alberta, Edmonton, Alberta T6G 2G2, Canada
| | - Alex Brown
- Department of Chemistry, University of Alberta, Edmonton, Alberta T6G 2G2, Canada
| |
Collapse
|
9
|
Lauvergnat D, Luis JM, Kirtman B, Reis H, Nauts A. Numerical and exact kinetic energy operator using Eckart conditions with one or several reference geometries: Application to HONO. J Chem Phys 2016; 144:084116. [DOI: 10.1063/1.4942172] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
10
|
Sala M, Guérin S, Gatti F. Quantum dynamics of the photostability of pyrazine. Phys Chem Chem Phys 2015; 17:29518-30. [DOI: 10.1039/c5cp04605j] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Abstract
We propose a new mechanism for the radiationless decay of photoexcited pyrazine to its ground electronic state involving a conical intersection between the dark Au(nπ) state and the ground state.
Collapse
Affiliation(s)
- Matthieu Sala
- Laboratoire Interdisciplinaire Carnot de Bourgogne UMR 6303 CNRS
- Université de Bourgogne Franche-Comté
- F-21078 Dijon
- France
| | - Stéphane Guérin
- Laboratoire Interdisciplinaire Carnot de Bourgogne UMR 6303 CNRS
- Université de Bourgogne Franche-Comté
- F-21078 Dijon
- France
| | - Fabien Gatti
- CTMM
- Institut Charles Gerhardt UMR 5253 CNRS
- F-34095 Montpellier
- France
| |
Collapse
|
11
|
Sala M, Gatti F, Guérin S. Coherent destruction of tunneling in a six-dimensional model of NHD2: A computational study using the multi-configuration time-dependent Hartree method. J Chem Phys 2014; 141:164326. [DOI: 10.1063/1.4900518] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Matthieu Sala
- Laboratoire Interdisciplinaire Carnot de Bourgogne UMR 6303 CNRS, Université de Bourgogne, BP 47870, F-21078 Dijon, France
| | - Fabien Gatti
- CTMM, Institut Charles Gerhardt (UMR 5253), CC1501, Université Montpellier II, F-34095 Montpellier, Cedex 05, France
| | - Stéphane Guérin
- Laboratoire Interdisciplinaire Carnot de Bourgogne UMR 6303 CNRS, Université de Bourgogne, BP 47870, F-21078 Dijon, France
| |
Collapse
|
12
|
Saab M, Sala M, Lasorne B, Gatti F, Guérin S. Full-dimensional control of the radiationless decay in pyrazine using the dynamic Stark effect. J Chem Phys 2014; 141:134114. [DOI: 10.1063/1.4896938] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Mohamad Saab
- CTMM, Institut Charles Gerhardt Montpellier (UMR5253), CC 15001, Université Montpellier 2, F-34095 Montpellier, Cedex 05, France
| | - Matthieu Sala
- Laboratoire Interdisciplinaire Carnot de Bourgogne (UMR 6303) CNRS, Université de Bourgogne, BP 47870, F-21078 Dijon, France
| | - Benjamin Lasorne
- CTMM, Institut Charles Gerhardt Montpellier (UMR5253), CC 15001, Université Montpellier 2, F-34095 Montpellier, Cedex 05, France
| | - Fabien Gatti
- CTMM, Institut Charles Gerhardt Montpellier (UMR5253), CC 15001, Université Montpellier 2, F-34095 Montpellier, Cedex 05, France
| | - Stéphane Guérin
- Laboratoire Interdisciplinaire Carnot de Bourgogne (UMR 6303) CNRS, Université de Bourgogne, BP 47870, F-21078 Dijon, France
| |
Collapse
|
13
|
Saab M, Doriol LJ, Lasorne B, Guérin S, Gatti F. A quantum dynamics study of the benzopyran ring opening guided by laser pulses. Chem Phys 2014. [DOI: 10.1016/j.chemphys.2014.01.016] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
14
|
Sadri K, Lauvergnat D, Gatti F, Meyer HD. Rovibrational spectroscopy using a kinetic energy operator in Eckart frame and the multi-configuration time-dependent Hartree (MCTDH) approach. J Chem Phys 2014; 141:114101. [DOI: 10.1063/1.4895557] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
15
|
Sala M, Saab M, Lasorne B, Gatti F, Guérin S. Laser control of the radiationless decay in pyrazine using the dynamic Stark effect. J Chem Phys 2014; 140:194309. [DOI: 10.1063/1.4875736] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
16
|
Pham P, Guo Y. A semiclassical study of cis-trans isomerization in HONO using an interpolating moving least-squares potential. J Chem Phys 2013; 138:144304. [DOI: 10.1063/1.4799270] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
17
|
Herman M, Perry DS. Molecular spectroscopy and dynamics: a polyad-based perspective. Phys Chem Chem Phys 2013; 15:9970-93. [DOI: 10.1039/c3cp50463h] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
18
|
Wang Y, Carter S, Bowman JM. Variational Calculations of Vibrational Energies and IR Spectra of trans- and cis-HOCO Using New ab Initio Potential Energy and Dipole Moment Surfaces. J Phys Chem A 2012; 117:9343-52. [DOI: 10.1021/jp309911w] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Yimin Wang
- Cherry L.
Emerson Center for Scientific Computation
and Department of Chemistry, Emory University, Atlanta, Georgia 30322, United States
| | - Stuart Carter
- Cherry L.
Emerson Center for Scientific Computation
and Department of Chemistry, Emory University, Atlanta, Georgia 30322, United States
| | - Joel M. Bowman
- Cherry L.
Emerson Center for Scientific Computation
and Department of Chemistry, Emory University, Atlanta, Georgia 30322, United States
| |
Collapse
|
19
|
Sala M, Guérin S, Gatti F, Marquardt R, Meyer HD. Laser-induced enhancement of tunneling in NHD2. J Chem Phys 2012; 136:194308. [DOI: 10.1063/1.4718591] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|