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Analytical Evaluation of the Maxwell–Boltzmann Velocity Average in Pressure-Broadened Half-Width Calculations
Journal of Molecular Spectroscopy ( IF 1.4 ) Pub Date : 2001-07-01 , DOI: 10.1006/jmsp.2001.8359
Robert R. Gamache 1
Affiliation  

For the first time the half-width within the complex Robert-Bonamy (CRB) formalism is calculated without making the mean relative thermal velocity approximation. The application is to the nitrogen-broadened half-width of the 500.4-GHz transition (34(2 32)<--34(1 33)) of the ground vibrational state of ozone. For each state of the perturber, the optical cross sections are determined at a number of velocities with the intermolecular potential taken as a sum of electrostatic contributions and Lennard-Jones (6-12) atom-atom components. The dynamics of the collision process are correct to second order in time. Using a nonlinear least-squares fitting method, the optical cross sections are fit to a double power law, which allows the velocity integral for the half-width to be done analytically. The results are compared with the mean relative thermal velocity complex Robert-Bonamy calculations and with measurement. The temperature dependence of the half-width, which is necessary for reduction of remotely sensed data, is determined from both methods and compared with experiment. Copyright 2001 Academic Press.

中文翻译:

压力加宽半宽计算中麦克斯韦-玻尔兹曼速度平均值的分析评估

这是第一次计算复杂的 Robert-Bonamy (CRB) 形式主义中的半宽度,而无需进行平均相对热速度近似。应用是臭氧的地面振动状态的 500.4-GHz 跃迁 (34(2 32)<--34(1 33)) 的氮加宽半宽度。对于微扰器的每个状态,光学横截面在多个速度下确定,分子间势被视为静电贡献和 Lennard-Jones (6-12) 原子 - 原子分量的总和。碰撞过程的动力学在时间上是正确的二阶。使用非线性最小二乘拟合方法,光学横截面符合双幂律,这允许对半宽度的速度积分进行解析。结果与平均相对热速度复数 Robert-Bonamy 计算和测量进行了比较。减少遥感数据所必需的半宽度的温度依赖性由两种方法确定并与实验进行比较。版权所有 2001 学术出版社。
更新日期:2001-07-01
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