1
|
Bussy A, Hutter J. First-principles correction scheme for linear-response time-dependent density functional theory calculations of core electronic states. J Chem Phys 2021; 155:034108. [PMID: 34293885 DOI: 10.1063/5.0058124] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Linear-response time-dependent density functional theory (LR-TDDFT) for core level spectroscopy using standard local functionals suffers from self-interaction error and a lack of orbital relaxation upon creation of the core hole. As a result, LR-TDDFT calculated x-ray absorption near edge structure spectra needed to be shifted along the energy axis to match experimental data. We propose a correction scheme based on many-body perturbation theory to calculate the shift from first-principles. The ionization potential of the core donor state is first computed and then substituted for the corresponding Kohn-Sham orbital energy, thus emulating Koopmans's condition. Both self-interaction error and orbital relaxation are taken into account. The method exploits the localized nature of core states for efficiency and integrates seamlessly in our previous implementation of core level LR-TDDFT, yielding corrected spectra in a single calculation. We benchmark the correction scheme on molecules at the K- and L-edges as well as for core binding energies and report accuracies comparable to higher order methods. We also demonstrate applicability in large and extended systems and discuss efficient approximations.
Collapse
Affiliation(s)
- Augustin Bussy
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Jürg Hutter
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| |
Collapse
|
2
|
Ertan E, Lundberg M, Sørensen LK, Odelius M. Setting the stage for theoretical x-ray spectra of the H2S molecule with multi-configurational quantum chemical calculations of the energy landscape. J Chem Phys 2020; 152:094305. [DOI: 10.1063/1.5145139] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Affiliation(s)
- Emelie Ertan
- Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm, Sweden
| | - Marcus Lundberg
- Department of Chemistry - Ångström Laboratory, Uppsala University, SE-751 20 Uppsala, Sweden
| | - Lasse Kragh Sørensen
- Department of Chemistry - Ångström Laboratory, Uppsala University, SE-751 20 Uppsala, Sweden
- Department of Theoretical Chemistry and Biology, School of Engineering Sciences in Chemistry, Biotechnology and Health, Royal Institute of Technology, SE-10691 Stockholm, Sweden
| | - Michael Odelius
- Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm, Sweden
| |
Collapse
|
3
|
Hait D, Head-Gordon M. Highly Accurate Prediction of Core Spectra of Molecules at Density Functional Theory Cost: Attaining Sub-electronvolt Error from a Restricted Open-Shell Kohn-Sham Approach. J Phys Chem Lett 2020; 11:775-786. [PMID: 31917579 DOI: 10.1021/acs.jpclett.9b03661] [Citation(s) in RCA: 74] [Impact Index Per Article: 18.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
We present the use of the recently developed square gradient minimization (SGM) algorithm for excited-state orbital optimization to obtain spin-pure restricted open-shell Kohn-Sham (ROKS) energies for core excited states of molecules. The SGM algorithm is robust against variational collapse and offers a reliable route to converging orbitals for target excited states at only 2-3 times the cost of ground-state orbital optimization (per iteration). ROKS/SGM with the modern SCAN/ωB97X-V functionals is found to predict the K-edge of C, N, O, and F to a root mean squared error of ∼0.3 eV. ROKS/SGM is equally effective at predicting L-edge spectra of third period elements, provided a perturbative spin-orbit correction is employed. This high accuracy can be contrasted with traditional time-dependent density functional theory (TDDFT), which typically has greater than 10 eV error and requires translation of computed spectra to align with experiment. ROKS is computationally affordable (having the same scaling as ground-state DFT and a slightly larger prefactor) and can be applied to geometry optimizations/ab initio molecular dynamics of core excited states, as well as condensed phase simulations. ROKS can also model doubly excited/ionized states with one broken electron pair, which are beyond the ability of linear response based methods.
Collapse
Affiliation(s)
- Diptarka Hait
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry , University of California , Berkeley , California 94720 , United States
- Chemical Sciences Division , Lawrence Berkeley National Laboratory , Berkeley , California 94720 , United States
| | - Martin Head-Gordon
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry , University of California , Berkeley , California 94720 , United States
- Chemical Sciences Division , Lawrence Berkeley National Laboratory , Berkeley , California 94720 , United States
| |
Collapse
|
4
|
Bernini RB, da Silva LBG, Rodrigues FN, Coutinho LH, Rocha AB, de Souza GGB. Core level (S 2p) excitation and fragmentation of the dimethyl sulfide and dimethyldisulfide molecules. J Chem Phys 2012; 136:144307. [DOI: 10.1063/1.3701567] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
5
|
Eland JHD, Fink RF, Linusson P, Hedin L, Plogmaker S, Feifel R. Single and multiple photoionisation of H2S by 40–250 eV photons. Phys Chem Chem Phys 2011; 13:18428-35. [DOI: 10.1039/c1cp21654f] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
6
|
Stolte WC, Dumitriu I, Yu SW, Ohrwall G, Piancastelli MN, Lindle DW. Fragmentation properties of three-membered heterocyclic molecules by partial ion yield spectroscopy: C(2)H(4)O and C(2)H(4)S. J Chem Phys 2009; 131:174306. [PMID: 19895011 DOI: 10.1063/1.3257685] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We investigated the photofragmentation properties of two three-membered ring heterocyclic molecules, C(2)H(4)O and C(2)H(4)S, by total and partial ion yield spectroscopy. Positive and negative ions have been collected as a function of photon energy around the C 1s and O 1s ionization thresholds in C(2)H(4)O, and around the S 2p and C 1s thresholds in C(2)H(4)S. We underline similarities and differences between these two analogous systems. We present a new assignment of the spectral features around the C K-edge and the sulfur L(2,3) edges in C(2)H(4)S. In both systems, we observe high fragmentation efficiency leading to positive and negative ions when exciting these molecules at resonances involving core-to-Rydberg transitions. The system, with one electron in an orbital far from the ionic core, relaxes preferentially by spectator Auger decay, and the resulting singly charged ion with two valence holes and one electron in an outer diffuse orbital can remain in excited states more susceptible to dissociation. A state-selective fragmentation pattern is analyzed in C(2)H(4)S which leads to direct production of S(2+) following the decay of virtual-orbital excitations to final states above the double-ionization threshold.
Collapse
Affiliation(s)
- W C Stolte
- Department of Chemistry, University of Nevada, Las Vegas, Nevada 89154-4003, USA.
| | | | | | | | | | | |
Collapse
|
7
|
Le Guen K, Miron C, Céolin D, Guillemin R, Leclercq N, Simon M, Morin P, Mocellin A, Björneholm O, Naves de Brito A, Sorensen SL. H2S ultrafast dissociation probed by energy-selected resonant Auger electron–ion coincidence measurements. J Chem Phys 2007; 127:114315. [PMID: 17887845 DOI: 10.1063/1.2776265] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have studied the ultrafast dissociation of the H2S molecule upon S 2p3/2-->6a1 inner-shell excitation by combining high-resolution resonant Auger spectroscopy and energy-selected Auger electron-ion coincidence measurements. Auger final states have been correlated to the different fragmentation pathways (S+, HS+, and H2S+ ions). As an original result, we evidence a three-step mechanism to describe the resonant production of S+: the Auger recombination in the HS* fragment is followed for the A 3Pi and c 1Pi states by the S++H fragmentation mechanism.
Collapse
Affiliation(s)
- K Le Guen
- Laboratoire de Chimie Physique-Matière et Rayonnement (LCPMR), UMR 7614, Université Pierre et Marie Curie-Paris 6, 11 Rue Pierre et Marie Curie, F-75231 Paris Cedex 05, France.
| | | | | | | | | | | | | | | | | | | | | |
Collapse
|
8
|
Vall-Llosera G, Melero García E, Kivimäki A, Rachlew E, Coreno M, de Simone M, Richter R, Prince KC. Fluorescence emission from photo-fragments after resonant S 2p excitations in H2S. Phys Chem Chem Phys 2007; 9:389-95. [PMID: 17199155 DOI: 10.1039/b610199b] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Visible-UV fluorescence emission of gas-phase hydrogen sulfide, H(2)S, has been studied at the S 2p edge with synchrotron radiation excitation. Dispersed fluorescence measurements in the wavelength range 300-900 nm were taken at several photon energies corresponding to the excitations of the S 2p electrons to the unoccupied molecular and Rydberg orbitals. The spectra reveal fluorescence from the H, S, S(+), HS and HS(+) photo-fragments. H is found to be the strongest emitter at Rydberg excitations, while the emission from S(+) is dominant at the molecular resonances and above the S 2p ionization thresholds. The intensities of hydrogen Lyman-alpha (122 nm), Balmer-alpha (656 nm), Balmer-beta (486 nm) transitions as well as the visible-UV total fluorescence yield (300-900 nm) and the total ion yield were measured by scanning the photon energy in small steps across the S 2p edge. The different Balmer lines show some sensitivity to the specific core excitations, which is, however, not so strong as that recently observed in the water molecule [E. Melero García, A. Kivimäki, L. G. M. Pettersson, J. Alvarez Ruiz, M. Coreno, M. de Simone, R. Richter and K. C. Prince, Phys. Rev. Lett., 2006, 96, 063003].
Collapse
Affiliation(s)
- G Vall-Llosera
- Royal Institute of Technology, Department of Physics, AlbaNova University Center, 10691 Stockholm, Sweden.
| | | | | | | | | | | | | | | |
Collapse
|
9
|
Lago AF, Dávalos JZ, Kerdpin U, Schlachter AS. Cationic and Anionic Fragmentation of Dichloromethane following Inner-Shell (Cl 1s) Photoexcitation. J Phys Chem A 2006; 110:13717-23. [PMID: 17181326 DOI: 10.1021/jp063423h] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Abstract
The cationic and anionic fragmentation of dichloromethane (CH2Cl2) molecule have been investigated in the energy range of the Cl K shell by using synchrotron radiation, ion yield spectroscopy, and electron-ion coincidence spectroscopy. Total and partial ion-yield and mass spectra have been recorded as a function of the photon energy. We were able to identify several singly and multiply charged cationic fragments and the following anionic species: H-; C-; Cl-. The present results provide the first experimental report of negative ion formation from a molecule excited at the Cl 1s edge. In addition, our electron-ion coincidence data provide strong evidence of the preservation of molecular alignment for the photodissociation of CH2Cl2 after deep core-electron resonant excitation.
Collapse
Affiliation(s)
- A F Lago
- Department of Chemistry, University of North Carolina, Chapel Hill, NC 27599-3290, USA.
| | | | | | | |
Collapse
|
10
|
Meyer M, O'keeffe P, Plenge J, Flesch R, Rühl E. Radiative relaxation and fragmentation dynamics of S 2p-excited hydrogen sulfide. J Chem Phys 2006; 125:214306. [PMID: 17166020 DOI: 10.1063/1.2400234] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Radiative relaxation of S 2p-excited hydrogen sulfide (H(2)S) is investigated by dispersed ultraviolet and visible fluorescence spectroscopies. We observe distinct changes in the fluorescence spectra as a function of excitation energy. Excitation to Rydberg states below the S 2p ionization threshold yields intense fluorescence from neutral and ionic atomic fragments (H, S(+), and S(2+)). In addition to the atomic emission, fluorescence of the molecular fragment ion HS(+) is preferably found after excitation of the S 2p electron into the unoccupied 6a(1) and 3b(2) orbitals with sigma(*) character. This is interpreted as evidence for ultrafast dissociation of the core-excited molecule prior to electronic relaxation. The rotationally resolved fluorescence spectra of the A (3)Pi-->X (3)Sigma(-) transition are analyzed in terms of the fragmentation dynamics leading to the formation of the excited molecular fragment ion, where changes in bond angle are discussed in terms of the rotational population.
Collapse
Affiliation(s)
- M Meyer
- LURE, Centre Universitaire Paris-Sud, Bâtiment 209D, F-91898 Orsay Cedex, France
| | | | | | | | | |
Collapse
|