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Bello RY, Yip FL, Streeter Z, Lucchese R, McCurdy CW. An Orbital Basis Set for Double Photoionization of Atoms and Molecules. J Chem Theory Comput 2024; 20:9084-9092. [PMID: 39395004 PMCID: PMC11500310 DOI: 10.1021/acs.jctc.4c00929] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2024] [Revised: 10/01/2024] [Accepted: 10/01/2024] [Indexed: 10/14/2024]
Abstract
The ab initio theoretical treatment of one-photon double photoionization processes has been limited to atoms and diatomic molecules by the challenges posed by large grid-based representations of the double ionized continuum wave function. To provide a path for extensions to polyatomics, an energy-adapted orbital basis approach is demonstrated that reduces the dimensions of such representations and simultaneously allows larger time steps in time-dependent computational descriptions of double ionization. Additionally, an algorithm that exploits the diagonal nature of the two-electron integrals in the grid basis and dramatically accelerates the transformation between grid and orbital representations is presented. Excellent agreement between the present results and benchmark theoretical calculations is found for H- and Be atoms, as well as the hydrogen molecule, including for the triply differential cross sections that relate the angular distribution and energy sharing of all of the particles in the molecular frame.
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Affiliation(s)
- Roger Y. Bello
- Departamento
de Química Física Aplicada, Módulo 14, Universidad Autónoma de Madrid, Madrid 28049, Spain
| | - Frank L. Yip
- Department
of Science and Mathematics, California State
University Maritime Academy, Vallejo, California 94590, United States
| | - Zachary Streeter
- Department
of Chemistry, University of California, Davis, California 95616, United States
| | - Robert Lucchese
- Chemical
Sciences Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
| | - C. William McCurdy
- Department
of Chemistry, University of California, Davis, California 95616, United States
- Chemical
Sciences Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
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2
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Pranjal P, González-Vázquez J, Bello RY, Martín F. Resonant Photoionization of CO 2 up to the Fourth Ionization Threshold. J Phys Chem A 2024; 128:182-190. [PMID: 38118433 PMCID: PMC10788902 DOI: 10.1021/acs.jpca.3c06947] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/20/2023] [Revised: 11/28/2023] [Accepted: 11/29/2023] [Indexed: 12/22/2023]
Abstract
We present a comprehensive theoretical study of valence-shell photoionization of the CO2 molecule by using the XCHEM methodology. This method makes use of a fully correlated molecular electronic continuum at a level comparable to that provided by state-of-the-art quantum chemistry packages in bound-state calculations. The calculated total and angularly resolved photoionization cross sections are presented and discussed, with particular emphasis on the series of autoionizing resonances that appear between the first and the fourth ionization thresholds. Ten series of Rydberg autoionizing states are identified, including some not previously reported in the literature, and their energy positions and widths are provided. This is relevant in the context of ongoing experimental and theoretical efforts aimed at observing in real-time (attosecond time scale) the autoionization dynamics in molecules.
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Affiliation(s)
- Prateek Pranjal
- Instituto
Madrileño de Estudios Avanzados en Nanociencia (IMDEA-Nanociencia),
Cantoblanco, 28049 Madrid, Spain
| | - Jesús González-Vázquez
- Departamento
de Química, Módulo 13, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - Roger Y. Bello
- Departamento
de Química Física Aplicada, Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - Fernando Martín
- Instituto
Madrileño de Estudios Avanzados en Nanociencia (IMDEA-Nanociencia),
Cantoblanco, 28049 Madrid, Spain
- Departamento
de Química, Módulo 13, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain
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3
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Lin YC, Fidler AP, Sandhu A, Lucchese RR, McCurdy CW, Leone SR, Neumark DM. Coupled nuclear-electronic decay dynamics of O 2 inner valence excited states revealed by attosecond XUV wave-mixing spectroscopy. Faraday Discuss 2021; 228:537-554. [PMID: 33595034 DOI: 10.1039/d0fd00113a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Multiple Rydberg series converging to the O2+c4Σ-u state, accessed by 20-25 eV extreme ultraviolet (XUV) light, serve as important model systems for the competition between nuclear dissociation and electronic autoionization. The dynamics of the lowest member of these series, the 3sσg state around 21 eV, has been challenging to study owing to its ultra-short lifetime (<10 fs). Here, we apply transient wave-mixing spectroscopy with an attosecond XUV pulse to investigate the decay dynamics of this electronic state. Lifetimes of 5.8 ± 0.5 fs and 4.5 ± 0.7 fs at 95% confidence intervals are obtained for v = 0 and v = 1 vibrational levels of the 3s Rydberg state, respectively. A theoretical treatment of predissociation and electronic autoionization finds that these lifetimes are dominated by electronic autoionization. The strong dependence of the electronic autoionization rate on the internuclear distance because of two ionic decay channels that cross the 3s Rydberg state results in the different lifetimes of the two vibrational levels. The calculated lifetimes are highly sensitive to the location of the 3s potential with respect to the decay channels; by slight adjustment of the location, values of 6.2 and 5.0 fs are obtained computationally for the v = 0 and v = 1 levels, respectively, in good agreement with experiment. Overall, an intriguing picture of the coupled nuclear-electronic dynamics is revealed by attosecond XUV wave-mixing spectroscopy, indicating that the decay dynamics are not a simple competition between isolated autoionization and predissociation processes.
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Affiliation(s)
- Yen-Cheng Lin
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. and Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Ashley P Fidler
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. and Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Arvinder Sandhu
- Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
| | - Robert R Lucchese
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.
| | - C William McCurdy
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. and Department of Chemistry, University of California, Davis, California 95616, USA
| | - Stephen R Leone
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. and Department of Chemistry, University of California, Berkeley, California 94720, USA and Department of Physics, University of California, Berkeley, CA 94720, USA
| | - Daniel M Neumark
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. and Department of Chemistry, University of California, Berkeley, California 94720, USA
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Jose J, Lucchese RR, Rescigno TN. Interchannel coupling effects in the valence photoionization of SF6. J Chem Phys 2015; 140:204305. [PMID: 24880278 DOI: 10.1063/1.4876576] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Abstract
The complex Kohn and polyatomic Schwinger variational techniques have been employed to illustrate the interchannel coupling correlation effects in the valence photoionization dynamics of SF6. Partial photoionization cross sections and asymmetry parameters of six valence subshells (1t1g, 5t1u, 1t2u, 3eg, 1t2g, 4t1u) are discussed in the framework of several theoretical and experimental studies. The complex Kohn results are in rather good agreement with experimental results, indicative of the fact that the interchannel coupling effects alter the photoionization dynamics significantly. We find that the dominant effect of interchannel coupling is to reduce the magnitude of shape resonant cross sections near the threshold and to induce resonant features in other channels to which resonances are coupled. The long-standing issue concerning ordering of the valence orbitals is addressed and confirmed 4t1u (6)1t2g (6)3eg (4)(5t1u (6)+1t2u (6)) 1t1g (6) as the most likely ordering.
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Affiliation(s)
- J Jose
- Department of Chemistry, Texas A&M University, College Station, Texas 77843, USA
| | - R R Lucchese
- Department of Chemistry, Texas A&M University, College Station, Texas 77843, USA
| | - T N Rescigno
- Lawrence Berkeley National Laboratory, Chemical Sciences, Berkeley, California 94720, USA
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Electron-Driven Molecular Processes Induced in Biological Systems by Electromagnetic and Other Ionizing Sources. ADVANCES IN QUANTUM CHEMISTRY 2007. [DOI: 10.1016/s0065-3276(06)52009-x] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/11/2023]
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Rathbone GJ, Poliakoff ED, Bozek JD, Lucchese RR, Lin P. Mode-specific photoelectron scattering effects on CO2+(C 2Σg+) vibrations. J Chem Phys 2004; 120:612-22. [PMID: 15267895 DOI: 10.1063/1.1630303] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Using high-resolution photoelectron spectroscopy, we have determined the energy dependent vibrational branching ratios for the symmetric stretch [v+ = (100)], bend [v+ = (010)], and antisymmetric stretch [v+ = (001)], as well as several overtones and combination bands in the 4sigmag(-1) photoionization of CO2. Data were acquired over the range from 20-110 eV, and this wide spectral coverage highlighted that alternative vibrational modes exhibit contrasting behavior, even over a range usually considered to be dominated by atomic effects. Alternative vibrational modes exhibit qualitatively distinct energy dependences, and this contrasting mode-specific behavior underscores the point that vibrationally resolved measurements reflect the sensitivity of the electron scattering dynamics to well-defined changes in molecular geometry. In particular, such energy-dependent studies help to elucidate the mechanism(s) responsible for populating the symmetry forbidden vibrational levels [i.e., v+ =( 010), (001), (030), and (110)]. This is the first study in which vibrationally resolved data have been acquired as a function of energy for all of the vibrational modes of a polyatomic system. Theoretical Schwinger variational calculations are used to interpret the experimental data, and they indicate that a 4sigmag-->ksigmau shape resonance is responsible for most of the excursions observed for the vibrational branching ratios. Generally, the energy dependent trends are reproduced well by theory, but a notable exception is the symmetric stretch vibrational branching ratio. The calculated results display a strong peak in the vibrational branching ratio while the experimental data show a pronounced minimum. This suggests an interference mechanism that is not accounted for in the single-channel adiabatic-nuclei calculations. Electronic branching ratios were also measured and compared to the vibrational branching ratios to assess the relative contributions of interchannel (i.e., Herzberg-Teller) versus intrachannel (i.e., photoelectron-mediated) coupling.
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Affiliation(s)
- G J Rathbone
- Department of Chemistry, Louisiana State University, Baton Rouge, Louisiana 70803, USA
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7
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Lin P, Lucchese RR. Total cross sections and molecular frame photoelectron angular distributions in the N 1s photoionization of N2: An investigation of electron correlation effects. J Chem Phys 2002. [DOI: 10.1063/1.1488576] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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8
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Rathbone GJ, Poliakoff ED, Bozek JD, Lucchese RR. Resonantly amplified vibronic symmetry breaking. J Chem Phys 2001. [DOI: 10.1063/1.1372334] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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9
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Miller JS, Poliakoff ED, Miller TF, Natalense APP, Lucchese RR. Excitation of the symmetry forbidden bending mode in molecular photoionization. J Chem Phys 2001. [DOI: 10.1063/1.1349090] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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10
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Miller JS, Poliakoff ED. On the correlation between photoelectron energy and bending excitation in molecular photoionization. J Chem Phys 2000. [DOI: 10.1063/1.481869] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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11
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Karawajczyk A, Erman P, Rachlew E, Stankiewicz M, Yoshiki Franzén K. Quasi-discrete resonances observed in photoionization to the A2Πu state of the CS2+ molecule. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00078-5] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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12
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Shaw D, Holland D, Hayes M, MacDonald M, Hopkirk A, McSweeney S. A study of the absolute photoabsorption, photoionisation and photodissociation cross sections and the photoionisation quantum efficiency of carbon dioxide from the ionisation threshold to 345 Å. Chem Phys 1995. [DOI: 10.1016/0301-0104(95)00159-l] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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13
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Gianturco FA, Lucchese RR, Sanna N. On the scattering of low‐energy electrons by sulphur hexafluoride. J Chem Phys 1995. [DOI: 10.1063/1.469305] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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14
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An experimental and theoretical study of the valence shell photoelectron spectrum of sulphur hexafluoride. Chem Phys 1995. [DOI: 10.1016/0301-0104(94)00381-j] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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15
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Stratmann RE, Lucchese RR. Vibrationally resolved cross sections for the photoionization of CS2. J Chem Phys 1994. [DOI: 10.1063/1.467986] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Gianturco FA, Lucchese RR, Sanna N. Calculation of low‐energy elastic cross sections for electron‐CF4 scattering. J Chem Phys 1994. [DOI: 10.1063/1.467237] [Citation(s) in RCA: 163] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Siggel MRF, West JB, Hayes MA, Parr AC, Dehmer JL, Iga I. Shape‐resonance‐enhanced continuum–continuum coupling in photoionization of CO2. J Chem Phys 1993. [DOI: 10.1063/1.465324] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Stratmann RE, Lucchese RR. Resonances and the effects of interchannel coupling in the photoionization of CS2. J Chem Phys 1992. [DOI: 10.1063/1.463699] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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20
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Poliakoff ED, Kakar S, Rosenberg RA. Continuum channel coupling of shape resonances in N2. J Chem Phys 1992. [DOI: 10.1063/1.462022] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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21
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Kakar S, Poliakoff ED, Rosenberg RA. Vibrationally resolved shape resonant photoionization of SiF4. J Chem Phys 1992. [DOI: 10.1063/1.462511] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Lucchese RR, Zurales RW. Comparison of the random-phase approximation with the multichannel frozen-core Hartree-Fock approximation for the photoionization of N2. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:291-303. [PMID: 9905680 DOI: 10.1103/physreva.44.291] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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