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GeO molecule, which plays an important role in fabricating integrated optics and semiconductor components, has received much attention. However, the electronic state density of the molecule is very large, and the electric structures and transitional properties of the molecule have not been well investigated. In this work, the 18 Λ -S states correlated to the lowest dissociation limit (Ge(3Pg)+O(3Pg)) are calculated by a complete active space self-consistent field (CASSCF) method, through using the previous Hatree-Fock molecular orbitals as the starting orbitals. Furthermore, we take all configurations in the configuration interaction expansions of the CASSCF wave functions as a reference configuration, and calculate the energies of the 18Λ-S states by a high-level multireference configuration interaction method. The core-valence correlation effect of the 3d orbit of Ge atom, the scalar relativistic effect, and the Davidson correction are taken into consideration in the calculations. On the basis of the calculated potential energy curves of the bound and quasibound electronic states, the spectroscopic constants (Re, Te, ωe, ωeχe, and Be), vibrational energy levels, vibrational wave functions, and Franck-Condon factors (FCFs) are obtained by solving the radical Schrödinger equation. The computed spectroscopic constants of these electronic states are well consistent with previously available experimental results. We calculate the electric dipole moments of electronic states with different bound lengths, and analyze the influences of the variation of electron configuration on the electric dipole moment. The calculated potential energy curves indicate that the adiabatic transition energies of A1Π, 11Σ-, D1Δ, a3Π, a’3Σ+, d3Δ, and e3Σ- sates are located in a range of 26000-37000 cm-1, and the spin-orbit coupling of the states can obviously affect the corresponding vibrational wave functions. With the help of calculated spin-orbit coupling matrix elements, the perturbations of the nearby states to a3Π and A1Π are discussed in detail. Our calculation results indicate that the spin-orbit coupling between A1Π and e3Σ- states has an evident perturbation on the v’> 4 vibrational levels of A1Π, and the v’≥ 0 vibrational levels of a3Π state are perturbed by the crossing states a’3Σ+, d3Δ, e3Σ-, 11Σ-, and D1Δ. On the basis of computed transition dipole moments and FCFs of A1Π-X1Σ+ and A’1Σ+-X1Σ+ transitions, the radiative lifetimes of the six lowest vibrational levels of the two singlet excited states are computed.
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Keywords:
- GeO /
- multireference configuration interaction method /
- excited states /
- spectroscopic constant
[1] Vega F, Afonso C N, Solis J 1993 Appl. Surf. Sci. 69 403
[2] Lee E G, Seto J Y, Hirao T, Bernath P F, Le Roy R J 1999 J. Mol. Spectrosc. 194 197
[3] Jevons W, Bashford L A, Briscoe H V A 1937 Proc. Phys. Soc. 49 543
[4] Raymonda J W, Muenter J S, Klemperer W A 1970 J. Chem. Phys. 52 3458
[5] Meyer B, Smith J J, Spitzer K 1970 J. Chem. Phys. 53 3616
[6] Meyer B, Jones Y, Smith J J, Spitzer K 1971 J. Mol. Spectrosc. 37 100
[7] Copelle G A, Brom Jr J M 1975 J. Chem. Phys. 63 5168
[8] Lagerqvist A, Renhorn I 1982 Phys. Scr. 25 241
[9] Leszczynski J, Kwiatkowski J S 1993 J. Phys. Chem. 97 12189
[10] Kalcher J 2002 Phys. Chem. Chem. Phys. 4 3311
[11] Jalbout A F, Li X H, Abou R H 2007 Int. J. Quantum Chem. 107 522
[12] Sefyani F L, Schamps J, Duflot D 1995 J. Quant. Spectrosc. Radiat. Transf. 54 1027
[13] Shi D H, Liu H, Sun J F, Zhu Z L, Liu Y F 2010 J. Mol. Struct. Theochem. 960 40
[14] Li R, Wei C L, Sun Q X, Sun E P, Xu H F, Yan B 2013 J. Phys. Chem. A 117 2373
[15] Gao X Y, You K, Zhang X M, Liu Y L, Liu Y F 2013 Acta Phys. Sin. 62 233302 (in Chinese) [高雪艳, 尤凯, 张晓美, 刘彦磊, 刘玉芳 2013 物理学报 62 233302]
[16] Yuan L, Fan Q C, Sun W G, Fan Z X, Feng H 2014 Acta Phys. Sin. 63 043102 (in Chinese) [袁丽, 樊群超, 孙卫国, 范志祥, 冯灏 2014 物理学报 63 043102]
[17] Li R, Sun E P, Jin M X, Xu H F, Yan B 2014 J. Phys. Chem. A 118 2629
[18] Li G X, Jiang Y C, Ling C C, Ma H Z, Li P 2014 Acta Phys. Sin. 63 127102 (in Chinese) [李桂霞, 姜永超, 凌翠翠, 马红章, 李鹏 2014 物理学报 63 127102]
[19] Liao J W, Yang C L 2014 Chin. Phys. B 23 073401
[20] Werner H J, Knowles P J, Knizia G, Manby F R, Schtz M, Celani P, Korona T, Lindh R, Mitrushenkov A, Rauhut G, Shamasundar K R, Adler T B, Amos R D, Bernhardsson A, Berning A, Cooper D L, Deegan M J O, Dobbyn A J, Eckert F, Goll E, Hampel C, Hesselmann A, Hetzer G, Hrenar T, Jansen G, Köppl C, Liu Y, Lloyd A W, Mata R A, May A J, McNicholas S J, Meyer W, Mura M E, Nicklass A, Neill D P, Palmieri P, Peng D, Pflger K, Pitzer R, Reiher M, Shiozaki T, Stoll H, Stone A J, Tarroni R, Thorsteinsson T, Wang M 2010 MOLPRO: a package of ab initio programs
[21] Wilson A K, Woon D E, Peterson K A, Dunning Jr T H 1999 J. Chem. Phys. 110 7667
[22] De Jong W A, Harrison R J, Dixon D A 2001 J. Chem. Phys. 114 48
[23] Peterson K A, Dunning Jr T H 2002 J. Chem. Phys. 117 10548
[24] De Yonker N J, Peterson K A, Wilson A K 2007 J. Phys. Chem. A 111 11383
[25] Moore C E 1971 Atomic Energy Levels (Washington, DC: National Bureau of Standards Publications) pp135-140
[26] Knowles P J, Werner H J 1985 Chem. Phys. Lett. 115 259
[27] Werner H J, Knowles P J 1985 J. Chem. Phys. 82 5053
[28] Werner H J, Knowles P J 1988 J. Chem. Phys. 89 5803
[29] Knowles P J, Werner H J 1988 Chem. Phys. Lett. 145 514
[30] Langhoff S R, Davidson E R 1974 Int. J. Quantum Chem. 8 61
[31] Douglas M, Kroll N M 1974 Ann. Phys. 82 89
[32] Hess B A 1986 Phys. Rev. A 33 3742
[33] Berning A, Schweizer M, Werner H J, Knowles P J, Palmieri P 2000 Mol. Phys. 98 1823
[34] Le Roy R J 2002 LEVEL 7.5: a Computer Program for Solving the Radial Schrödinger Equation for Bound and Quasibound Levels (Waterloo: University of Waterloo) Chemical Physics Research Report CP-655)
[35] Huber K P, Herzberg G 1979 Molecular Spectra and Molecular Structure IV: Constants of Diatomic Molecules (New York: Van Nostrand Reinhold) pp236-237
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[1] Vega F, Afonso C N, Solis J 1993 Appl. Surf. Sci. 69 403
[2] Lee E G, Seto J Y, Hirao T, Bernath P F, Le Roy R J 1999 J. Mol. Spectrosc. 194 197
[3] Jevons W, Bashford L A, Briscoe H V A 1937 Proc. Phys. Soc. 49 543
[4] Raymonda J W, Muenter J S, Klemperer W A 1970 J. Chem. Phys. 52 3458
[5] Meyer B, Smith J J, Spitzer K 1970 J. Chem. Phys. 53 3616
[6] Meyer B, Jones Y, Smith J J, Spitzer K 1971 J. Mol. Spectrosc. 37 100
[7] Copelle G A, Brom Jr J M 1975 J. Chem. Phys. 63 5168
[8] Lagerqvist A, Renhorn I 1982 Phys. Scr. 25 241
[9] Leszczynski J, Kwiatkowski J S 1993 J. Phys. Chem. 97 12189
[10] Kalcher J 2002 Phys. Chem. Chem. Phys. 4 3311
[11] Jalbout A F, Li X H, Abou R H 2007 Int. J. Quantum Chem. 107 522
[12] Sefyani F L, Schamps J, Duflot D 1995 J. Quant. Spectrosc. Radiat. Transf. 54 1027
[13] Shi D H, Liu H, Sun J F, Zhu Z L, Liu Y F 2010 J. Mol. Struct. Theochem. 960 40
[14] Li R, Wei C L, Sun Q X, Sun E P, Xu H F, Yan B 2013 J. Phys. Chem. A 117 2373
[15] Gao X Y, You K, Zhang X M, Liu Y L, Liu Y F 2013 Acta Phys. Sin. 62 233302 (in Chinese) [高雪艳, 尤凯, 张晓美, 刘彦磊, 刘玉芳 2013 物理学报 62 233302]
[16] Yuan L, Fan Q C, Sun W G, Fan Z X, Feng H 2014 Acta Phys. Sin. 63 043102 (in Chinese) [袁丽, 樊群超, 孙卫国, 范志祥, 冯灏 2014 物理学报 63 043102]
[17] Li R, Sun E P, Jin M X, Xu H F, Yan B 2014 J. Phys. Chem. A 118 2629
[18] Li G X, Jiang Y C, Ling C C, Ma H Z, Li P 2014 Acta Phys. Sin. 63 127102 (in Chinese) [李桂霞, 姜永超, 凌翠翠, 马红章, 李鹏 2014 物理学报 63 127102]
[19] Liao J W, Yang C L 2014 Chin. Phys. B 23 073401
[20] Werner H J, Knowles P J, Knizia G, Manby F R, Schtz M, Celani P, Korona T, Lindh R, Mitrushenkov A, Rauhut G, Shamasundar K R, Adler T B, Amos R D, Bernhardsson A, Berning A, Cooper D L, Deegan M J O, Dobbyn A J, Eckert F, Goll E, Hampel C, Hesselmann A, Hetzer G, Hrenar T, Jansen G, Köppl C, Liu Y, Lloyd A W, Mata R A, May A J, McNicholas S J, Meyer W, Mura M E, Nicklass A, Neill D P, Palmieri P, Peng D, Pflger K, Pitzer R, Reiher M, Shiozaki T, Stoll H, Stone A J, Tarroni R, Thorsteinsson T, Wang M 2010 MOLPRO: a package of ab initio programs
[21] Wilson A K, Woon D E, Peterson K A, Dunning Jr T H 1999 J. Chem. Phys. 110 7667
[22] De Jong W A, Harrison R J, Dixon D A 2001 J. Chem. Phys. 114 48
[23] Peterson K A, Dunning Jr T H 2002 J. Chem. Phys. 117 10548
[24] De Yonker N J, Peterson K A, Wilson A K 2007 J. Phys. Chem. A 111 11383
[25] Moore C E 1971 Atomic Energy Levels (Washington, DC: National Bureau of Standards Publications) pp135-140
[26] Knowles P J, Werner H J 1985 Chem. Phys. Lett. 115 259
[27] Werner H J, Knowles P J 1985 J. Chem. Phys. 82 5053
[28] Werner H J, Knowles P J 1988 J. Chem. Phys. 89 5803
[29] Knowles P J, Werner H J 1988 Chem. Phys. Lett. 145 514
[30] Langhoff S R, Davidson E R 1974 Int. J. Quantum Chem. 8 61
[31] Douglas M, Kroll N M 1974 Ann. Phys. 82 89
[32] Hess B A 1986 Phys. Rev. A 33 3742
[33] Berning A, Schweizer M, Werner H J, Knowles P J, Palmieri P 2000 Mol. Phys. 98 1823
[34] Le Roy R J 2002 LEVEL 7.5: a Computer Program for Solving the Radial Schrödinger Equation for Bound and Quasibound Levels (Waterloo: University of Waterloo) Chemical Physics Research Report CP-655)
[35] Huber K P, Herzberg G 1979 Molecular Spectra and Molecular Structure IV: Constants of Diatomic Molecules (New York: Van Nostrand Reinhold) pp236-237
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