Temperature and energy derivatives of Doppler broadening functions by Steffensen's inequality technique

被引：2

作者：

Geetha, R. S. ^{[2
]}

Keshavamurthy, R. S. ^{[1
]}

Harish, R. ^{[3
]}

机构：

[1] Indira Gandhi Ctr Atom Res, Radiat Shielding Sect, Reactor Phys Div, Kalpakkam 603102, Tamil Nadu, India

[2] DRMGR Educ & Res Inst, Madras 600095, Tamil Nadu, India

[3] TCE Consulting Engineers Ltd, Proc & Technol Grp, Bengaluru 560001, India

来源：

ANNALS OF NUCLEAR ENERGY | 2010年 / 37卷 / 07期

关键词：

Doppler broadening functions; Temperature and energy derivatives; Evaluation; Steffensen's inequality; VOIGT; APPROXIMATIONS;

D O I：

10.1016/j.anucene.2010.03.003

中图分类号：

TL [原子能技术]; O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

Bounds of asymmetric Doppler broadening function chi(x, theta) are obtained ab initio from application of Steffensen's inequality. It is shown how these bounds and their averages provide approximations for the function to any desired accuracy. These bounds along with similar bound approximations for psi(x, theta) lead to bounds for temperature and energy derivatives of Doppler broadening functions. Accuracies of the approximations for the derivatives are also discussed. It is demonstrated that calculation of derivatives to desired accuracies require psi and chi functions evaluated with higher relative accuracies. (C) 2010 Published by Elsevier Ltd.

引用

页码：985 / 990

页数：6

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