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Arapiraca A, Mohallem J. DFT vibrationally averaged isotopic dipole moments of propane, propyne and water isotopologues. Chem Phys Lett 2014. [DOI: 10.1016/j.cplett.2014.06.037] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Kirnosov N, Sharkey K, Adamowicz L. Charge asymmetry in the rovibrationally excited HD molecule. J Chem Phys 2014; 140:104115. [PMID: 24628160 DOI: 10.1063/1.4867912] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Abstract
The recently developed method for performing all-particle non-Born-Oppenheimer variational calculations on diatomic molecular systems excited to the first excited rotational state and simultaneously vibrationally excited is employed to study the charge asymmetry and the level lifetimes of the HD molecule. The method uses all-particle explicitly correlated Gaussian functions. The nonlinear parameters of the Gaussians are optimized with the aid of the analytical energy gradient determined with respect to these parameters.
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Affiliation(s)
- Nikita Kirnosov
- Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
| | - Keeper Sharkey
- Department of Chemistry and Biochemistry, University of Arizona, Tucson, Arizona 85721, USA
| | - Ludwik Adamowicz
- Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
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Gustafsson M. Classical calculations of radiative association in absence of electronic transitions. J Chem Phys 2013; 138:074308. [PMID: 23445010 DOI: 10.1063/1.4790862] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Abstract
A formula for the cross section of radiative association where no electronic transitions take place is derived and tested for diatomic molecules. The approach is based on classical mechanics and therefore it is valid for direct, i.e., non-resonant, radiative association. For the formation of carbon monoxide (CO) and the cyano radical (CN), in the X1Σ+ and A1Π states, respectively, the treatment reproduces the baselines of the cross sections obtained using quantum mechanical perturbation theory. The method overestimates the formation cross section of potassium sodide (NaK) by about 8%. For the lower mass diatoms hydrogen fluoride (HF) and deuterium hydride (HD), the formula overestimates the cross sections by 12% and 60%, respectively. The formula can be used alone for estimates of radiative association rate constants, or in combination with Breit-Wigner theory to include resonance contributions.
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Affiliation(s)
- Magnus Gustafsson
- Department of Chemistry and Molecular Biology, University of Gothenburg, 41296 Gothenburg, Sweden.
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Arapiraca AFC, Jonsson D, Mohallem JR. Vibrationally averaged post Born-Oppenheimer isotopic dipole moment calculations approaching spectroscopic accuracy. J Chem Phys 2011; 135:244313. [DOI: 10.1063/1.3671940] [Citation(s) in RCA: 13] [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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Hobson SL, Valeev EF, Császár AG, Stanton JF. Is the adiabatic approximation sufficient to account for the post-Born–Oppenheimer effects on molecular electric dipole moments? Mol Phys 2010. [DOI: 10.1080/00268970902780262] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Strasburger K. Modified adiabatic approximation: Charge asymmetry in HD+ and HD. J Chem Phys 2009; 131:134103. [DOI: 10.1063/1.3241280] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Mohallem JR, de O. Coura T, Diniz LG, de Castro G, Assafrão D, Heine T. Adiabatic Corrections to Density Functional Theory Energies and Wave Functions. J Phys Chem A 2008; 112:8896-901. [DOI: 10.1021/jp800732a] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- José R. Mohallem
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, CP 702, 30123-970, Belo Horizonte, MG, Brasil, and Technische Universität Dresden, Fachbereich Chemie, D-01062 Dresden, Germany
| | - Thiago de O. Coura
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, CP 702, 30123-970, Belo Horizonte, MG, Brasil, and Technische Universität Dresden, Fachbereich Chemie, D-01062 Dresden, Germany
| | - Leonardo G. Diniz
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, CP 702, 30123-970, Belo Horizonte, MG, Brasil, and Technische Universität Dresden, Fachbereich Chemie, D-01062 Dresden, Germany
| | - Gustavo de Castro
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, CP 702, 30123-970, Belo Horizonte, MG, Brasil, and Technische Universität Dresden, Fachbereich Chemie, D-01062 Dresden, Germany
| | - Denise Assafrão
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, CP 702, 30123-970, Belo Horizonte, MG, Brasil, and Technische Universität Dresden, Fachbereich Chemie, D-01062 Dresden, Germany
| | - Thomas Heine
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, CP 702, 30123-970, Belo Horizonte, MG, Brasil, and Technische Universität Dresden, Fachbereich Chemie, D-01062 Dresden, Germany
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Abstract
Expanding the wave functions of the ground and excited states of HD(+) (or pde) in terms of spherically symmetric explicitly correlated Gaussian functions with preexponential multipliers consisting of powers of the internuclear distance, and using the variational method, we performed very accurate nonadiabatic calculations of all bound states of this system corresponding to the zero total angular momentum quantum number (vibrational states; v=0-22). The total and the transition energies obtained agree with the best available calculations. For each state we computed the expectation values of the d-p, d-e, and p-e interparticle distances. This is the first time these quantities were computed for HD(+) using rigorous nonadiabatic wave functions. While up to the v=20 state some asymmetry is showing in the d-e and p-e distances, for v=21 and v=22 we observe a complete breakdown of the Born-Oppenheimer approximation and localization of the electron almost entirely at the deuteron.
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Affiliation(s)
- Sergiy Bubin
- Department of Physics, University of Arizona, Tucson, AZ 85721, USA
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Gonçalves CP, Mohallem JR. A new algorithm to handle finite nuclear mass effects in electronic calculations: The ISOTOPE program. J Comput Chem 2004; 25:1736-9. [PMID: 15362130 DOI: 10.1002/jcc.20093] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
We report the development of a simple algorithm to modify quantum chemistry codes based on the LCAO procedure, to account for the isotope problem in electronic structure calculations. No extra computations are required compared to standard Born-Oppenheimer calculations. An upgrade of the Gamess package called ISOTOPE is presented, and its applicability is demonstrated in some examples.
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Affiliation(s)
- Cristina P Gonçalves
- Laboratório de Atomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, P.O. Box 702, 30123-970 Belo Horizonte, MG, Brasil
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Cafiero M, Adamowicz L. Non-Born-Oppenheimer isotope effects on the polarizabilities of H2. PHYSICAL REVIEW LETTERS 2002; 89:073001. [PMID: 12190517 DOI: 10.1103/physrevlett.89.073001] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/21/2002] [Indexed: 05/23/2023]
Abstract
We present non-Born-Oppenheimer quantum-mechanical calculations of the behavior of isolated molecules of the H2 isotopomer series in static electric fields. Some conceptual aspects of such calculations are discussed. The values for polarizabilities and hyperpolarizabilities of the H2 isotopomers which we present are the first ever fully nonadiabatic calculated values of these properties.
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Affiliation(s)
- Mauricio Cafiero
- Department of Chemistry, University of Arizona, Tucson 85721, USA
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Gustafsson M, Frommhold L. The HD–He complex: Interaction-induced dipole surface and infrared absorption spectra. J Chem Phys 2001. [DOI: 10.1063/1.1396851] [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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Lu Z, Tabisz GC, Ulivi L. Temperature dependence of the pure rotational band of HD: Interference, widths, and shifts. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:1159-1173. [PMID: 9909040 DOI: 10.1103/physreva.47.1159] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Ulivi L, Lu Z, Tabisz GC. Temperature dependence of the collisional interference in the pure rotational far-infrared spectrum of HD. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 40:642-651. [PMID: 9902194 DOI: 10.1103/physreva.40.642] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Poll JD, Tipping RH, Lee SY, Lee S, Noh TW, Gaines JR. Intensities of Rv'(0) transitions in solid HD. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:11372-11377. [PMID: 9947964 DOI: 10.1103/physrevb.39.11372] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Ma Q, Tipping RH, Poll JD. Mixing of rotational levels and intracollisional interference in the pure rotational R0(J) transitions of gaseous HD. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:6185-6189. [PMID: 9900376 DOI: 10.1103/physreva.38.6185] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Drakopoulos PG, Tabisz GC. Far-infrared rotational spectrum of HD: Line shape, dipole moment, and collisional interference. PHYSICAL REVIEW. A, GENERAL PHYSICS 1987; 36:5556-5565. [PMID: 9898843 DOI: 10.1103/physreva.36.5556] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Drakopoulos PG, Tabisz GC. Collisional interference in the foreign-gas-perturbed far-infrared rotational spectrum of HD. PHYSICAL REVIEW. A, GENERAL PHYSICS 1987; 36:5566-5574. [PMID: 9898844 DOI: 10.1103/physreva.36.5566] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Tipping RH, Poll JD. Interference effects in the R0(0) transition of solid HD. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:6699-6702. [PMID: 9940918 DOI: 10.1103/physrevb.35.6699] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Pack RT. Adiabatic theory of symmetry breaking and dipole moments of isotopic molecules. Correct dissociation of their electronic and muonic ions. PHYSICAL REVIEW. A, GENERAL PHYSICS 1985; 32:2022-2029. [PMID: 9896313 DOI: 10.1103/physreva.32.2022] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Thorson WR, Choi JH, Knudson SK. Novel theory of the HD dipole moment. I. Theory. PHYSICAL REVIEW. A, GENERAL PHYSICS 1985; 31:22-33. [PMID: 9895449 DOI: 10.1103/physreva.31.22] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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