The Group Theory Analysis of Benzene Vibration Mode
LIN Jun1,2,MA Ruo-meng2,MA Lu-yao2,LIN Hong1,2
1. Division of Thermophysics and Process Measurement, National Institute of Metrology, Beijing 100029, China
2. Zhengzhou Institute of Metrology, Zhengzhou, Henan 450001, China
Abstract:Benzene (C6H6) is the main pollutant in the atmospheric and indoor environment, which can induce human leukemia, and it is one of the important monitoring substances for environmental protection emissions. Based on the group theory, a method for calculating the overtones spectra of benzene by analyzing normal vibration modes and spectral activity was established. The vibration frequencies of 30 vibration modes and their irreducible expressions were obtained by Gaussian software. Based on the symmetry species of combinations for D6, the vibration mode, spectral activity and spectral line position of the overtones frequency transition of benzene molecules were given, which provided a certain reference range and theoretical support for the subsequent accurate measurement of unknown spectral transition frequency of benzene molecules.
林俊,马若梦,马路遥,林鸿. 基于群论方法的苯分子振动模式研究[J]. 计量学报, 2023, 44(1): 132-137.
LIN Jun,MA Ruo-meng,MA Lu-yao,LIN Hong. The Group Theory Analysis of Benzene Vibration Mode. Acta Metrologica Sinica, 2023, 44(1): 132-137.
Zhang L L, Zhu X J, Yu Y, et al. Priority Control of Hazardous Air Pollutants in Beijing-Tianjin-Hebei and Its Surrounding Areas [J]. Research of Environmental Sciences. 2021, 34 (1): 194-201.
Cao W Q, He Y J, Ji J. Study on the CRMs of a Series of Benzene-Compound Solutions [J]. Acta Metrologica Sinica, 2003, 24 (3): 240-244.
[4]
Wang Y F, Liu C, Tong W, et al. Comparision of Chinas volatile organic compound pollution management:a computable general equilibrium approach [J]. Chinese Journal of Population, Resources and Environment, 2016, 14 (4): 298-308.
Ma L Y, Lin J, Zhang L, et al. Review on the Cavity Ring-down Spectroscopy for Greenhouse Gas Monitoring [J]. Acta Metrologica Sinica, 2022, 43 (2): 274-280.
Pan J M, Lin H, Feng X J, et al. Investigation on the Line Intensity Measurement of the Second Overtone (3←0) Band of CO [J]. Acta Metrologica Sinica, 2020, 41 (12): 1565-1569.
[10]
Wilson E. Molecular Spectroscopy [J]. Annual Review of Physical Chemistry, 1979, 30 (1):1-28.
Ma J, Lin S L, Huang R.Study of Benzene by Using Laser Raman Spectroscopy [J]. Physics and Engineering, 2013 (1): 29-32.
Liu X H, Song H, Fang C Z, et al. Application of Gaussian 09 Software Package in Teaching of IR Spectroscopy [J]. Shandong Chemical Industry, 2005, 44 (23): 114-116.
Ma L Y,Ma R M,Zhu X Y, et al. Carbon Dioxide Concentration Measurement of Fixed SourceBased on Herriott Absorption Cell[J]. Acta Metrologica Sinica, 2022, 43(3): 416-419.
Lü H Z,Ma R M,Zhang L,et al. Research on Accurate Measurement of Low Concentration Nitric Oxide in High Temperature Water-containing Flue Gas Based on FTIR Spectrometer[J]. Acta Metrologica Sinica, 2021, 42(4): 526-531.
Kuang X J, Jia L B. The group theory approach to vibration mode of W(CO)6 molecule [J]. College Physics, 2018, 37 (3): 23-25.
Ma R M, Lin H, Zhang L, et al. Measurement of Carbon Dioxide Concentration Basedon Multi-pass Absorption Technology [J]. Acta Metrologica Sinica, 2020, 41 (4): 425-429.
Rothman L S, Gordon I E, Babikov Y, et al. The HITRAN2016 molecular spectroscopic database [J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2017, 130 (11): 4-50.
Zhou Z Y, Zhu Q S. The Vibration-Rotational Analysis of The High Resolution IR Spectrum of The CH3D Molecule [J]. Spectroscopy and Spectral Analysis, 1998 (3): 24-33.
Schiff H I, Mackay G I, Bechara J. The use of tunable diode laser absorption spectroscopy for atmospheric measurements [J]. Research on Chemical Intermediates, 1994, 20 (3): 525-556.
[13]
Kesharwani M K, Brauer B, Martin J M L. Frequency and Zero-Point Vibrational Energy Scale Factors for Double-Hybrid Density Functionals (and Other Selected Methods): Can Anharmonic Force Fields Be Avoided? [J]. Journal of Physical Chemistry A, 2015, 119 (9): 1701-1709.