对称型三原子分子振动的弹簧质量模型ON THE MASS-SPRING MODEL OF MOLECULAR VIBRATION OF A SYMMETRIC TRIATOMIC MOLECULE
陈奎孚,刘霞
摘要(Abstract)：
给出了对称型三原子分子振动的一个模型。以键角变化和两个键长变化为广义坐标建立了微幅振动微分方程,得到了该模型的3个本征振动频率和对应的振动模式。利用文献数据对上述模型进行了检验。结果表明模型预测的分子振动频率与实验数据吻合良好。
关键词(KeyWords)： 分子振动;本征振动模式;经典力学;弹簧振子;化学键
基金项目(Foundation):
作者(Author): 陈奎孚,刘霞
参考文献(References)：
- [1]罗颖,罗兴垅.CO2气体分子简正振动模式的研究[J].大学物理,2014,33(1):17-21.LUO Y,LUO X L.Investigation on normal vibration model of CO2molecular[J].College Physics.2014,33(1):17-21.(in Chinese)
- [2]甘慧兰,丁光涛,郑贤锋,等.线性三原子分子振动的Lagrange函数和Hamilton函数[J].原子与分子物理学报,2012,29(1):7-11.GAN H L,DING G T,ZHENG X F,et al.Lagrangians and Hamiltonians of vibrations of a linear triatomic molecule[J].Journal of Atomic and Molecular Physics.2012,29(1):7-11.(in Chinese)
- [3]张丽.一维三原子分子的振动[J].大学物理.2006,25(1):8-10.ZHANG L.The oscillation of one dimensional molecule with three atoms[J].College Physics,2006,25(1):8-10.(in Chinese)
- [4]蒲利春,芶清泉,朱俊.三原子分子受迫振动模式研究[J].原子与分子物理学报,2005,22(2):357-360.PU L C,GOU Q Q,ZHU J.Study on compelled vibration model of a triatomic molecule[J].Journal of Atomic and Molecular Physics.2005,22(2):357-360.(in Chinese)
- [5]陈奎孚,闵顺耕.具有直线结构的三原子分子振动模型[J].大学物理,2017,36(7):14-18.CHEN K F,MIN S G.A vibration model for the linear triatomic molecule[J].College Physics.2017,36(7):14-18.(in Chinese)
- [6]陈奎孚.机械振动教程[M].北京:中国农业大学出版社.2014,4:147-160.
- [7]GERSHIKOV A G,SPIRIDONOV V P.Anharmonic force field of CO2as determined by agas-phase electron diffraction study[J].Journal of Molecular Structure.1983,96(1-2):141-149.
- [8]HOY A R,MILLS I M,STREY G.Anharmonic force constant calculations[J].Molecular Physics,1972,24(6):1265-1290.
- [9]SHIMANOUCHI T.Tables of molecular vibrational frequencies consolidated VolumeⅠ[Z].National Bureau of Standards,1972,1-160.
- [10]PLIVA J.Critical Evaluation of chemical and physical structural information[Z].National Academy of Science,Washington,D.C.1974:289.
- [11]HARRY C,ALLEN J R,PLYLER E K.Infrared spectrum of hydrogen sulfide[J].The Journal of Chemical Physics.1956,25(6):1132-1136.
- [12]MILLS I M.Chemical society specialist periodical report[J].Theoretical Chemistry.1974,Vol 1:110.