硼球烯B40在外电场下的基态性质和光谱特性

李世雄; 张正平; 隆正文; 秦水介

doi:10.7498/aps.66.103102

摘要

以6-31G*为基组，采用密度泛函PBE0方法研究了不同外电场（00.060 a.u.）对硼球烯B40的基态几何结构、电荷分布、能量、电偶极矩、能隙、红外及拉曼光谱特性的影响；继而采用含时的TD-PBE0方法研究了硼球烯B40在外电场下的电子光谱.研究结果表明：外电场的加入导致分子对称性降低，当电场从0 a.u.变化到0.060 a.u.时，偶极矩逐渐增加，体系总能量和能隙一直减小；外电场的加入将改变红外和拉曼光谱特征，如谐振频率的移动以及红外和拉曼峰的增强或减弱；外电场对硼球烯B40的电子光谱影响较大，当电场从0 a.u.变化到0.060 a.u.时，电子光谱发生红移，同时对振子强度有很大影响，原来振子强度最强的激发态变弱或成为禁阻跃迁，而原来振子强度很弱或禁阻的激发态变得最强.可以通过改变外电场来改变B40的基态性质，以及控制B40的光谱特性.

关键词:

B40 /
外电场 /
基态 /
光谱特性

Abstract

The recent discovery of borospherene B40 marks the onset of a new class of all-boron fullerenes. External electric field can influence the structure and property of molecule. It is necessary to understand the electrostatic field effect in the borospherene B40. In this work, density functional theory method at the PBE0 level with the 6-31G* basis set is used to investigate the ground state structures, mulliken atomic charges, the highest occupied molecular orbital (HOMO) energy levels, the lowest unoccupied molecular orbital (LUMO) energy levels, energy gaps, electric dipole moments, infrared spectra and Raman spectra of borospherene B40 under the external electric field within the range of values F=0-0.06 a.u.. The electronic spectra (the first 18 excited states contain excited energies, excited wavelengths and oscillator strengths) of borospherene B40 are calculated by the time-dependent density functional theory method (TD-PBE0) with the 6-31G* basis set under the same external electric field. The results show that borospherene B40 can be elongated in the direction of electric field and B40 molecule is polarized under the external electric field. Meanwhile, the addition of external electric field results in lower symmetry (C2v), however, electronic state of borospherene B40 is not changed under the external electric field. Moreover, the calculated results show that the electric dipole moment is proved to be increasing with the increase of the external field intensity, but the total energy and energy gap are proved to decrease with the increase of external field intensity. The addition of external electric field can modify the infrared and Raman spectra, such as the shift of vibrational frequency and the strengthening of infrared and Raman peaks. Furthermore, the calculated results indicate that the external electric field has a significant effect on the electronic spectrum of borospherene B40. The increase of the electric field intensity can lead to the redshift of electronic spectrum. With the change of the electric field intensity, the strongest excited state (with the biggest oscillator strength) can become very weak (with the small oscillator strength) or optically inactive (with the oscillator strength of zero). Meanwhile, the weak excited state can become the strongest excited state by the external field. The ground state properties and spectral properties of borospherene B40 can be modified by the external electric field. Our findings can provide theoretical guidance for the application of borospherene B40 in the future.

Keywords:

作者及机构信息

1.
贵州大学大数据与信息工程学院, 贵阳 550025;

2.
贵州师范学院物理与电子科学学院, 贵阳 550018;

3.
贵州大学物理学院, 贵阳 550025;

4.
贵州大学, 贵州省光电子技术及其应用重点实验室, 贵阳 550025

通信作者: 张正平, zpzhang@gzu.edu.cn

基金项目: 国家国际科技合作专项基金（批准号：2014DFA00670）、贵州省教育厅青年科技人才成长基金（批准号：黔教合KY字[2016]217）和贵州省教育厅特色重点实验室基金（批准号：黔教合KY字[2014]217）资助的课题.

Authors and contacts

1.
College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China;

2.
School of Physics and Electronic Science, Guizhou Education University, Guiyang 550018, China;

3.
College of Physics, Guizhou University, Guiyang 550025, China;

4.
Key Laboratory of Photoelectron Technology and Application, Guizhou University, Guiyang 550025, China

Corresponding author: Zhang Zheng-Ping, zpzhang@gzu.edu.cn

Funds: Project supported by the International Science and Technology Cooperation Program of China (Grant No. 2014DFA00670), the Growth Foudation for Young Scientists of Education Department of Guizhou Province, China (Grant No. QJH KY[2016]217) and the Characteristic Key Laboratory Foudation of Education Department of Guizhou Province, China (Grant No. QJH KY[2014]217).

参考文献

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[2]	Iijima S 1991 Nature 354 56
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[4]	Wang X S, Li Q Q, Xie J, Jin Z, Wang J Y, Li Y, Jiang K L, Tan S S 2009 Nano Lett. 9 3137
[5]	Zhai H J, Kiran B, Li J, Wang L S 2003 Nature Mater. 2 827
[6]	Kiran B, Bulusu S, Zhai H J, Yoo S, Zeng X C, Wang L S 2005 Proc. Nati. Acad. Sci 102 961
[7]	Alexandrova A N, Boldyrev A I, Zhai H J, Wang L S 2006 Coord. Chem. Rev. 250 2811
[8]	Oger E, Crawford N R M, Kelting R, Weis P, Kappes M M, Ahlrichs R 2007 Angew. Chem. Int. Ed. 46 8503
[9]	Chen Q, Wei G F, Tian W J, Bai H, Liu Z P, Zhai H J Li S D 2014 Phys. Chem. Chem. Phys. 16 18282
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[11]	Sheng X L, Yan Q B, Zheng Q R, Su G 2009 Phys. Chem. Chem. Phys. 11 9696
[12]	Wang L, Zhao J J, Li F Y, Chen Z F 2010 Chem. Phys. Lett. 501 16
[13]	Cheng L J 2012 J. Chem. Phys. 136 104301
[14]	Lu H G, Li S D 2013 J. Chem. Phys. 139 224307
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[16]	He R X, Zeng X C 2015 Chem. Commun. 51 3185
[17]	Li S X, Zhang Z P, Long Z W, Sun G Y, Qin S J 2016 Sci. Rep. 6 25020
[18]	Bai H, Chen Q, Zhai H J, Li S D 2015 Angew. Chem. Int. Ed. 54 941
[19]	Jin P, Hou Q H, Tang C C, Chen Z F 2015 Theor. Chem. Acc. 34 1
[20]	Yang Z, Ji Y L, Lan G Q, Xu L C, Liu X G, Xu B S 2015 Solid State Commun. 217 38
[21]	An Y P, Zhang M J, Wu D P, Fu Z M, Wang T T, Xia C X 2016 Phys. Chem. Chem. Phys. 18 12024
[22]	Dong H L, Hou T J, Lee S T, Li Y Y 2015 Sci. Rep. 5 09952
[23]	Xu G L, Xie H X, Yuan W, Zhang X Z, Liu Y F 2012 Acta Phys. Sin. 61 043104 (in Chinese) [徐国亮, 谢会香, 袁伟, 张现周, 刘玉芳 2012 61 043104]
[24]	Cao X W, Ren Y, Liu H, Li S L 2014 Acta Phys. Sin. 63 043101 (in Chinese) [曹欣伟, 任杨, 刘慧, 李姝丽 2014 63 043101]
[25]	Li S X, Wu Y G, Linhu R F, Sun G Y, Zhang Z P, Qin S J 2015 Acta Phys. Sin. 64 043101 (in Chinese) [李世雄, 吴永刚, 令狐荣锋, 孙光宇, 张正平, 秦水介 2015 64 043101]
[26]	Shen H J, Shi Y J 2004 Chin. Atom Mol. Phys. 21 617 (in Chinese) [沈海军, 史友进 2004 原子与分子 21 617]
[27]	Frisch M J, Tracks G W, Schlegel H B, et al. 2009 Gaussian 09, Revision A. 02 (Wallingford CT: Gaussian Inc.)
[28]	Tuchin A V, Bityutskaya L A, Bormontov E N 2015 Eur. Phys. J. D 69 87
[29]	Chen, Q, Zhang S Y, Bai H, Tian W J, Gao T, Li H R, Miao C Q, Mu Y W, Lu H G, Zhai H J, Li S D 2015 Angew. Chem. Int. Ed. 54 8160

施引文献

[1]	Kroto H W, Heath J R, Obrien S C, Curl R F, Smalley R E 1985 Nature 318 162
[2]	Iijima S 1991 Nature 354 56
[3]	Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306 666
[4]	Wang X S, Li Q Q, Xie J, Jin Z, Wang J Y, Li Y, Jiang K L, Tan S S 2009 Nano Lett. 9 3137
[5]	Zhai H J, Kiran B, Li J, Wang L S 2003 Nature Mater. 2 827
[6]	Kiran B, Bulusu S, Zhai H J, Yoo S, Zeng X C, Wang L S 2005 Proc. Nati. Acad. Sci 102 961
[7]	Alexandrova A N, Boldyrev A I, Zhai H J, Wang L S 2006 Coord. Chem. Rev. 250 2811
[8]	Oger E, Crawford N R M, Kelting R, Weis P, Kappes M M, Ahlrichs R 2007 Angew. Chem. Int. Ed. 46 8503
[9]	Chen Q, Wei G F, Tian W J, Bai H, Liu Z P, Zhai H J Li S D 2014 Phys. Chem. Chem. Phys. 16 18282
[10]	Szwacki N G, Sadrzadeh A, Yakobson B I 2007 Phys. Rev. Lett. 98 166804
[11]	Sheng X L, Yan Q B, Zheng Q R, Su G 2009 Phys. Chem. Chem. Phys. 11 9696
[12]	Wang L, Zhao J J, Li F Y, Chen Z F 2010 Chem. Phys. Lett. 501 16
[13]	Cheng L J 2012 J. Chem. Phys. 136 104301
[14]	Lu H G, Li S D 2013 J. Chem. Phys. 139 224307
[15]	Zhai H J, Zhao Y F, Li W L, Chen Q, Bai H, Hu H S, Piazza Z A, Tian W J, Lu H G, Wu Y B, Mu Y W, Wei G F, Liu Z P, Li J, Li S D, Wang L S 2014 Nat. Chem. 6 727
[16]	He R X, Zeng X C 2015 Chem. Commun. 51 3185
[17]	Li S X, Zhang Z P, Long Z W, Sun G Y, Qin S J 2016 Sci. Rep. 6 25020
[18]	Bai H, Chen Q, Zhai H J, Li S D 2015 Angew. Chem. Int. Ed. 54 941
[19]	Jin P, Hou Q H, Tang C C, Chen Z F 2015 Theor. Chem. Acc. 34 1
[20]	Yang Z, Ji Y L, Lan G Q, Xu L C, Liu X G, Xu B S 2015 Solid State Commun. 217 38
[21]	An Y P, Zhang M J, Wu D P, Fu Z M, Wang T T, Xia C X 2016 Phys. Chem. Chem. Phys. 18 12024
[22]	Dong H L, Hou T J, Lee S T, Li Y Y 2015 Sci. Rep. 5 09952
[23]	Xu G L, Xie H X, Yuan W, Zhang X Z, Liu Y F 2012 Acta Phys. Sin. 61 043104 (in Chinese) [徐国亮, 谢会香, 袁伟, 张现周, 刘玉芳 2012 61 043104]
[24]	Cao X W, Ren Y, Liu H, Li S L 2014 Acta Phys. Sin. 63 043101 (in Chinese) [曹欣伟, 任杨, 刘慧, 李姝丽 2014 63 043101]
[25]	Li S X, Wu Y G, Linhu R F, Sun G Y, Zhang Z P, Qin S J 2015 Acta Phys. Sin. 64 043101 (in Chinese) [李世雄, 吴永刚, 令狐荣锋, 孙光宇, 张正平, 秦水介 2015 64 043101]
[26]	Shen H J, Shi Y J 2004 Chin. Atom Mol. Phys. 21 617 (in Chinese) [沈海军, 史友进 2004 原子与分子 21 617]
[27]	Frisch M J, Tracks G W, Schlegel H B, et al. 2009 Gaussian 09, Revision A. 02 (Wallingford CT: Gaussian Inc.)
[28]	Tuchin A V, Bityutskaya L A, Bormontov E N 2015 Eur. Phys. J. D 69 87
[29]	Chen, Q, Zhang S Y, Bai H, Tian W J, Gao T, Li H R, Miao C Q, Mu Y W, Lu H G, Zhai H J, Li S D 2015 Angew. Chem. Int. Ed. 54 8160

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