物理化学学报 >> 2011, Vol. 27 >> Issue (05): 1053-1060.doi: 10.3866/PKU.WHXB20110501

热力学,动力学和结构化学 上一篇    下一篇

线型和非线型分子转动光谱强度的统计模型

SAIZ Andrés   

  1. Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Escuela ETSGE, Camino de Vera s/n, Valencia 46022, Spain
  • 收稿日期:2010-12-28 修回日期:2011-02-25 发布日期:2011-04-28
  • 通讯作者: A. Saiz E-mail:asaiz@mat.upv.es

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:2010-12-28 Revised:2011-02-25 Published:2011-04-28
  • Contact: A. Saiz E-mail:asaiz@mat.upv.es

摘要:

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.

关键词: Statistical property, Power law, Organic and inorganic Molecules, Spectrum intensity, Boltzmann power law

Abstract:

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.

Key words: Statistical property, Power law, Organic and inorganic Molecules, Spectrum intensity, Boltzmann power law