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icMRCI+Q study on spectroscopic properties and predissociation mechanisms of electronic states of BF+ cation

Xing Wei Sun Jin-Feng Shi De-Heng Zhu Zun-Lüe

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icMRCI+Q study on spectroscopic properties and predissociation mechanisms of electronic states of BF+ cation

Xing Wei, Sun Jin-Feng, Shi De-Heng, Zhu Zun-Lüe
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  • In this paper, we study the spectroscopic properties and predissociation mechanisms of 14 states, which come from the first two dissociation channels of the BF+ cation. The potential energy curves of 14 Λ-S (X2Σ+, 12Π, 22Π, 22Σ+, 14Σ+, 14Δ, 14Σ1, 12Δ, 12Σ1, 32Σ+, 14Π, 24Π, 24Σ+, and 32Π) and corresponding 30 Ω states are calculated using the complete active space self-consistent field method, which is followed by the valence internally contracted multireference configuration interaction approach with the Davidson modification. To improve the reliability and accuracy of the potential energy curves, the core-valence correlation and scalar relativistic corrections, as well as the extrapolation of potential energy to the complete basis set limit are taken into account. The spin-orbit coupling is computed using the state interaction approach with the Breit-Pauli Hamiltonian. Based on these potential energy curves, the spectroscopic parameters and vibrational levels are determined for all the bound and quasi-bound Λ-S and Ω states. The present ground-state spectroscopic constants match well with the available experimental data. In addition, the vertical and adiabatic ionization potentials from the X1Σ+ state of BF molecule to the X2Σ+, 12Π, and 22Σ+ states of BF+ cation are calculated. The results of BF+(X2Σ+) ← BF(X1Σ+) ionization are in good agreement with the measurements. Various curve crossings of Λ-S states are revealed. We calculate the spin-orbit matrix elements between two interacting electronic states in the curve crossing region. With the help of present spin-orbit coupling matrix elements, we analyze the predissociation mechanisms of X2Σ+ and 32Π states along with the perturbations of the nearby states to 22Π, 14Σ+ and 32Σ+ states for the first time. The predissociation of X2Σ+ and 32Π states have a chance to occur around the vibrational levels υ"=30 and υ'=0 due to spin-orbit coupling, respectively. The present results also indicate that the υ' ≥ 9 vibrational levels of 22Π state are perturbed by the crossing states 22Σ+, 14Σ+, 14Δ, 14Σ1, 12Δ, 12Σ1, 32Σ+, and 14Π, that the υ' ≥ 4 vibrational levels of 14Σ+ state are perturbed via the interacting states 14Σ1 and 12Σ1, and the great perturbations between υ' ≥ 4 vibrational levels of 32Σ+ state and υ' ≥ 0 vibrational levels of 14Π state. For the 30 Ω state, we also calculate the relative energies of dissociation limits compared with the lowest one matching well with the experimental ones. Finally, the Franck-Condon factors, Einstein coefficients, and radiative lifetimes are evaluated for the 22Π (υ'=0-9)-X2Σ+, 22Σ+ (υ'=0-2)-X2Σ+, (3)1/2-(1)1/21st well, and (2)3/2 (υ'=0-9)-(1)1/21st well transitions.
      Corresponding author: Sun Jin-Feng, jfsun@haust.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61275132, 11274097).
    [1]

    Chakrabarti K, Tennyson J 2009 J. Phys. B:At. Mol. Opt. Phys. 42 105204

    [2]

    Hildenbrand D L 1971 Int. J. Mass Spectrom. Ion Phys. 7 255

    [3]

    Robinson D W 1963 J. Mol. Spectrosc. 11 275

    [4]

    Caton R B, Douglas A E 1970 Can. J. Phys. 48 432

    [5]

    Dyke J M, Kirby C, Morris A 1983 J. Chem. Soc., Faraday Trans. 2 79 483

    [6]

    Winifred M H 1965 J. Chem. Phys. 43 624

    [7]

    Nesbet R K 1965 J. Chem. Phys. 43 4403

    [8]

    Cade P E, Huo W M 1975 At. Data Nucl. Data Tables 15 1

    [9]

    Rosmus P, Werner H J, Grimm M 1982 Chem. Phys. Lett. 92 250

    [10]

    Bauschlicher C W, Ricca A 1999 J. Phys. Chem. A 103 4313

    [11]

    Bruna P J, Grein F 2001 J. Phys. Chem. A 105 3328

    [12]

    Magoulas I, Kalemos A, Mavridis A 2013 J. Chem. Phys. 138 104312

    [13]

    Niu X H, Shu H B, Zhu Z L, Chen Q 2016 Spectrochim. Acta A 159 60

    [14]

    Li R, Wei C L, Sun Q X, Sun E P, Jin M X, Xu H F, Yan B 2013 Chin. Phys. B 22 123103

    [15]

    Li R, Zhang X M, Jin M X, Xu H F, Yan B 2014 Chin. Phys. B 23 053101

    [16]

    Xing W, Liu H, Shi D H, Sun J F, Zhu Z L, L S X 2015 Acta Phys. Sin. 64 153101 (in Chinese) [邢伟, 刘慧, 施德恒, 孙金峰, 朱遵略, 吕淑霞 2015 64 153101]

    [17]

    Liu X J, Miao F J, Li R, Zhang C H, Li Q N, Yan B 2015 Acta Phys. Sin. 64 123101 (in Chinese) [刘晓军, 苗凤娟, 李瑞, 张存华, 李奇楠, 闫冰 2015 64 123101]

    [18]

    Zhao S T, Liang G Y, Li R, Li Q N, Zhang Z G, Yan B 2017 Acta Phys. Sin. 66 063103 (in Chinese) [赵书涛, 梁桂颖, 李瑞, 李奇楠, 张志国, 闫冰 2017 66 063103]

    [19]

    Langhoff S R, Davidson E R 1974 Int. J. Quantum Chem. 8 61

    [20]

    Richartz A, Buenker R J 1978 Chem. Phys. 28 305

    [21]

    Wilson A K, van Mourik T, Dunning T H 1996 J. Mol. Struct. (Theochem) 388 339

    [22]

    Dunning T H 1989 J. Chem. Phys. 90 1007

    [23]

    Woon D E, Dunning T H 1995 J. Chem. Phys. 103 4572

    [24]

    Reiher M, Wolf A 2004 J. Chem. Phys. 121 2037

    [25]

    Wolf A, Reiher M, Hess B A 2002 J. Chem. Phys. 117 9215

    [26]

    Oyeyemi V B, Krisiloff D B, Keith J A, Libisch F, Pavone M, Carter E A 2014 J. Chem. Phys. 140 044317

    [27]

    Le Roy R J 2007 LEVEL 8.0:A Computer Program for Solving the Radial Schrödinger Equation for Bound and Quasibound Levels (Waterloo:University of Waterloo Chemical Physics Research Report) CP-663

    [28]

    Kramida A E, Ryabtsev A N 2007 Phys. Scr. 76 544

    [29]

    Lidén K 1949 Ark. Fys. 1 229

    [30]

    Ryabtsev A N, Kink I, Awaya Y, Ekberg J O, Mannervik S, Ölme A, Martinson I 2005 Phys. Scr. 71 489

    [31]

    Moore C E 1971 Atomic Energy Levels (Vol. 1) (Washington, DC:National Bureau of Standard) p60

    [32]

    Okabe H (translated by Tang G Q, Bai Y B, Lu Z G) 1982 Photochemistry of Small Molecules (Changchun:Jilin People's Press) p40 (in Chinese) [冈田秀雄著(汤国庆, 白玉白, 陆志刚译) 1982 小分子光化学(长春:吉林人民出版社)第40页]

  • [1]

    Chakrabarti K, Tennyson J 2009 J. Phys. B:At. Mol. Opt. Phys. 42 105204

    [2]

    Hildenbrand D L 1971 Int. J. Mass Spectrom. Ion Phys. 7 255

    [3]

    Robinson D W 1963 J. Mol. Spectrosc. 11 275

    [4]

    Caton R B, Douglas A E 1970 Can. J. Phys. 48 432

    [5]

    Dyke J M, Kirby C, Morris A 1983 J. Chem. Soc., Faraday Trans. 2 79 483

    [6]

    Winifred M H 1965 J. Chem. Phys. 43 624

    [7]

    Nesbet R K 1965 J. Chem. Phys. 43 4403

    [8]

    Cade P E, Huo W M 1975 At. Data Nucl. Data Tables 15 1

    [9]

    Rosmus P, Werner H J, Grimm M 1982 Chem. Phys. Lett. 92 250

    [10]

    Bauschlicher C W, Ricca A 1999 J. Phys. Chem. A 103 4313

    [11]

    Bruna P J, Grein F 2001 J. Phys. Chem. A 105 3328

    [12]

    Magoulas I, Kalemos A, Mavridis A 2013 J. Chem. Phys. 138 104312

    [13]

    Niu X H, Shu H B, Zhu Z L, Chen Q 2016 Spectrochim. Acta A 159 60

    [14]

    Li R, Wei C L, Sun Q X, Sun E P, Jin M X, Xu H F, Yan B 2013 Chin. Phys. B 22 123103

    [15]

    Li R, Zhang X M, Jin M X, Xu H F, Yan B 2014 Chin. Phys. B 23 053101

    [16]

    Xing W, Liu H, Shi D H, Sun J F, Zhu Z L, L S X 2015 Acta Phys. Sin. 64 153101 (in Chinese) [邢伟, 刘慧, 施德恒, 孙金峰, 朱遵略, 吕淑霞 2015 64 153101]

    [17]

    Liu X J, Miao F J, Li R, Zhang C H, Li Q N, Yan B 2015 Acta Phys. Sin. 64 123101 (in Chinese) [刘晓军, 苗凤娟, 李瑞, 张存华, 李奇楠, 闫冰 2015 64 123101]

    [18]

    Zhao S T, Liang G Y, Li R, Li Q N, Zhang Z G, Yan B 2017 Acta Phys. Sin. 66 063103 (in Chinese) [赵书涛, 梁桂颖, 李瑞, 李奇楠, 张志国, 闫冰 2017 66 063103]

    [19]

    Langhoff S R, Davidson E R 1974 Int. J. Quantum Chem. 8 61

    [20]

    Richartz A, Buenker R J 1978 Chem. Phys. 28 305

    [21]

    Wilson A K, van Mourik T, Dunning T H 1996 J. Mol. Struct. (Theochem) 388 339

    [22]

    Dunning T H 1989 J. Chem. Phys. 90 1007

    [23]

    Woon D E, Dunning T H 1995 J. Chem. Phys. 103 4572

    [24]

    Reiher M, Wolf A 2004 J. Chem. Phys. 121 2037

    [25]

    Wolf A, Reiher M, Hess B A 2002 J. Chem. Phys. 117 9215

    [26]

    Oyeyemi V B, Krisiloff D B, Keith J A, Libisch F, Pavone M, Carter E A 2014 J. Chem. Phys. 140 044317

    [27]

    Le Roy R J 2007 LEVEL 8.0:A Computer Program for Solving the Radial Schrödinger Equation for Bound and Quasibound Levels (Waterloo:University of Waterloo Chemical Physics Research Report) CP-663

    [28]

    Kramida A E, Ryabtsev A N 2007 Phys. Scr. 76 544

    [29]

    Lidén K 1949 Ark. Fys. 1 229

    [30]

    Ryabtsev A N, Kink I, Awaya Y, Ekberg J O, Mannervik S, Ölme A, Martinson I 2005 Phys. Scr. 71 489

    [31]

    Moore C E 1971 Atomic Energy Levels (Vol. 1) (Washington, DC:National Bureau of Standard) p60

    [32]

    Okabe H (translated by Tang G Q, Bai Y B, Lu Z G) 1982 Photochemistry of Small Molecules (Changchun:Jilin People's Press) p40 (in Chinese) [冈田秀雄著(汤国庆, 白玉白, 陆志刚译) 1982 小分子光化学(长春:吉林人民出版社)第40页]

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Publishing process
  • Received Date:  25 September 2017
  • Accepted Date:  03 January 2018
  • Published Online:  20 March 2019

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