Citation: SAIZ Andrés. Statistical Model for Intensities in the Rotational Spectra of Linear and Non-Linear Molecules[J]. Acta Physico-Chimica Sinica, ;2011, 27(05): 1053-1060. doi: 10.3866/PKU.WHXB20110501 shu

Statistical Model for Intensities in the Rotational Spectra of Linear and Non-Linear Molecules

SAIZ Andrés

1.
Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Escuela ETSGE, Camino de Vera s/n, Valencia 46022, Spain

Received Date: 28 December 2010
Available Online: 24 March 2011

In this study, we found regular behavior, from a statistical point of view, in the intensities of rotational spectra for several organic and inorganic molecules at room temperature. Non-linear molecules, for which a common intensity behavior was derived, were especially interesting. We provided theoretical support for the obtained results based on the Boltzmann distribution. Boltzmann power laws were used to reproduce the statistical behavior of the intensities from the spectra of linear and non-linear molecules. We only used statistical arguments and no specific details of any molecule were used. Therefore, these results are applicable to a large class of atoms and molecules and the model is valid when considering similar conditions to those used in this study.
- Statistical property,
- Power law,
- Organic and inorganic Molecules,
- Spectrum intensity,
- Boltzmann power law
1. [1]
  
  (1) rdy, W.; Cook, R. L. Microwave Molecular Spectra; Wiley: New York, 1984.
2. [2]
  (2) Kroto, H. W. Molecular Rotation Spectra; Dover: New Yrok, 1992.
3. [3]
  (3) Bernath, P. F. Spectra of Atoms and Molecules; Oxford UP: New York, 1995.
4. [4]
  (4) Shalev, E.; Klafter, J.; Plusquellic, D. F.; Pratt, D. W. Physica A 1992, 191, 186.
5. [5]
  (5) Saiz, A.; Martínez, V. J. Phys. Rev. E 1996, 54, 2431.
6. [6]
  (6) Schlapp, R. Phys. Rev. 1932, 39, 806.
7. [7]
  (7) Watson, J. K. G. Can. J. Phys. 1968, 46, 1637.
8. [8]
  (8) Morioka, Y.; Hara, S.; Nakamura, M. Phys. Rev. A 1980, 22, 177.
9. [9]
  (9) Zemtsov, Y. K.; Starostin, A. N. JETP 1993, 76, 2, 186.
10. [10]
  (10) Finsterh?lzl, H.; Hochenbleicher, J. G.; Strey, G. J. Raman Spect. 2007, 6, 13.
11. [11]
  (11) Bielinska, D.; Waz, P.; Basak, S. Eur. Phys. J. B. 2006, 50, 333.
12. [12]
  (12) Saiz, A. Revista Internacional de Sistemas 2003, 13, 64.
13. [13]
  (13) Pickett, H. M.; Poynter, R. L.; Cohen, E. A.; Delitsky, M. L.; Pearson, J. C.; Muller, H. S. P. J. Quant.Spectrosc. & Rad. Transfer. 1998, 60, 883.
14. [14]
  (14) Scott, D. W. Biometrika 1979, 66, 605.
15. [15]
  (15) Saiz, A. Physica A 2010, 389, 225.
16. [16]
  (16) Sears F. W.; Salinger G. L. Thermodynamics, Kinetic Theory, and Statistical Thermodynamics; Addison-Wesley Pub. Co.: Massachusetts, 1975.
1. [1]
  Feibin Wei , Yongfang Rao , Yu Huang , Wei Wang , Hui Mei . The new challenges for the development of NH₃-SCR catalysts under new situation of energy transition in power generation industry. Chinese Chemical Letters, 2024, 35(6): 108931-. doi: 10.1016/j.cclet.2023.108931
2. [2]
  Xianxu Chu , Lu Wang , Junru Li , Hui Xu . Surface chemical microenvironment engineering of catalysts by organic molecules for boosting electrocatalytic reaction. Chinese Chemical Letters, 2024, 35(8): 109105-. doi: 10.1016/j.cclet.2023.109105
3. [3]
  Yan Cheng , Hai-Quan Yao , Ya-Di Zhang , Chao Shi , Heng-Yun Ye , Na Wang . Nitrate-bridged hybrid organic-inorganic perovskites. Chinese Journal of Structural Chemistry, 2024, 43(9): 100358-100358. doi: 10.1016/j.cjsc.2024.100358
4. [4]
  Zhao-Xia Lian , Xue-Zhi Wang , Chuang-Wei Zhou , Jiayu Li , Ming-De Li , Xiao-Ping Zhou , Dan Li . Producing circularly polarized luminescence by radiative energy transfer from achiral metal-organic cage to chiral organic molecules. Chinese Chemical Letters, 2024, 35(8): 109063-. doi: 10.1016/j.cclet.2023.109063
5. [5]
  Kangrong Yan , Ziqiu Shen , Yanchun Huang , Benfang Niu , Hongzheng Chen , Chang-Zhi Li . Curing the vulnerable heterointerface via organic-inorganic hybrid hole transporting bilayers for efficient inverted perovskite solar cells. Chinese Chemical Letters, 2024, 35(6): 109516-. doi: 10.1016/j.cclet.2024.109516
6. [6]
  Pu Zhang , Xiang Mao , Xuehua Dong , Ling Huang , Liling Cao , Daojiang Gao , Guohong Zou . Two UV organic-inorganic hybrid antimony-based materials with superior optical performance derived from cation-anion synergetic interactions. Chinese Chemical Letters, 2024, 35(9): 109235-. doi: 10.1016/j.cclet.2023.109235
7. [7]
  Le Ye , Wei-Xiong Zhang . Structural phase transition in a new organic-inorganic hybrid post-perovskite: (N,N-dimethylpyrrolidinium)[Mn(N(CN)2)3]. Chinese Journal of Structural Chemistry, 2024, 43(6): 100257-100257. doi: 10.1016/j.cjsc.2024.100257
8. [8]
  Zhijia Zhang , Shihao Sun , Yuefang Chen , Yanhao Wei , Mengmeng Zhang , Chunsheng Li , Yan Sun , Shaofei Zhang , Yong Jiang . Epitaxial growth of Cu_2-xSe on Cu (220) crystal plane as high property anode for sodium storage. Chinese Chemical Letters, 2024, 35(7): 108922-. doi: 10.1016/j.cclet.2023.108922
9. [9]
  Hao Cai , Xiaoyan Wu , Lei Jiang , Feng Yu , Yuxiang Yang , Yan Li , Xian Zhang , Jian Liu , Zijian Li , Hong Bi . Lysosome-targeted carbon dots with a light-controlled nitric oxide releasing property for enhanced photodynamic therapy. Chinese Chemical Letters, 2024, 35(4): 108946-. doi: 10.1016/j.cclet.2023.108946
10. [10]
  Ziyi Liu , Xunying Liu , Lubing Qin , Haozheng Chen , Ruikai Li , Zhenghua Tang . Alkynyl ligand for preparing atomically precise metal nanoclusters: Structure enrichment, property regulation, and functionality enhancement. Chinese Journal of Structural Chemistry, 2024, 43(11): 100405-100405. doi: 10.1016/j.cjsc.2024.100405
11. [11]
  Zhigang Zeng , Changzhou Liao , Lei Yu . Molecules for COVID-19 treatment. Chinese Chemical Letters, 2024, 35(7): 109349-. doi: 10.1016/j.cclet.2023.109349
12. [12]
  Huizhong Wu , Ruiheng Liang , Ge Song , Zhongzheng Hu , Xuyang Zhang , Minghua Zhou . Enhanced interfacial charge transfer on Bi metal@defective Bi₂Sn₂O₇ quantum dots towards improved full-spectrum photocatalysis: A combined experimental and theoretical investigation. Chinese Chemical Letters, 2024, 35(6): 109131-. doi: 10.1016/j.cclet.2023.109131
13. [13]
  Zhenyang Lin . A classification scheme for inorganic cluster compounds based on their electronic structures and bonding characteristics. Chinese Journal of Structural Chemistry, 2024, 43(5): 100254-100254. doi: 10.1016/j.cjsc.2024.100254
14. [14]
  Qihan Lin , Jiabin Xing , Yue-Yang Liu , Gang Wu , Shi-Jia Liu , Hui Wang , Wei Zhou , Zhan-Ting Li , Dan-Wei Zhang . taBOX: A water-soluble tetraanionic rectangular molecular container for conjugated molecules and taste masking for berberine and palmatine. Chinese Chemical Letters, 2024, 35(5): 109119-. doi: 10.1016/j.cclet.2023.109119
15. [15]
  Jie Zhou , Quanyu Li , Xiaomeng Hu , Weifeng Wei , Xiaobo Ji , Guichao Kuang , Liangjun Zhou , Libao Chen , Yuejiao Chen . Water molecules regulation for reversible Zn anode in aqueous zinc ion battery: Mini-review. Chinese Chemical Letters, 2024, 35(8): 109143-. doi: 10.1016/j.cclet.2023.109143
16. [16]
  Shuanglin TIAN , Tinghong GAO , Yutao LIU , Qian CHEN , Quan XIE , Qingquan XIAO , Yongchao LIANG . First-principles study of adsorption of Cl₂ and CO gas molecules by transition metal-doped g-GaN. Chinese Journal of Inorganic Chemistry, 2024, 40(6): 1189-1200. doi: 10.11862/CJIC.20230482
17. [17]
  Jing JIN , Zhuming GUO , Zhiyin XIAO , Xiujuan JIANG , Yi HE , Xiaoming LIU . Tuning the stability and cytotoxicity of fac-[Fe(CO)₃I₃]^- anion by its counter ions: From aminiums to inorganic cations. Chinese Journal of Inorganic Chemistry, 2024, 40(5): 991-1004. doi: 10.11862/CJIC.20230458
18. [18]
  Shuo Zhang , Haitao Liao , Zhi-Qun Liu , Chong Yan , Jia-Qi Huang . Re-evaluating the nano-sized inorganic protective layer on Cu current collector for anode free lithium metal batteries. Chinese Chemical Letters, 2024, 35(7): 109284-. doi: 10.1016/j.cclet.2023.109284
19. [19]
  Shaohua Zhang , Liyao Liu , Yingqiao Ma , Chong-an Di . Advances in theoretical calculations of organic thermoelectric materials. Chinese Chemical Letters, 2024, 35(8): 109749-. doi: 10.1016/j.cclet.2024.109749
20. [20]
  Zhongjie Li , Xiangyue Kong , Yuhao Liu , Huayu Qiu , Lingling Zhan , Shouchun Yin . Progress of additives for morphology control in organic photovoltaics. Chinese Chemical Letters, 2024, 35(6): 109378-. doi: 10.1016/j.cclet.2023.109378

Get Citation

PDF

XML

Metrics

PDF Downloads(991)
Abstract views(1969)
HTML views(22)

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142