北京大学学报自然科学版 ›› 2020, Vol. 56 ›› Issue (2): 199-205.DOI: 10.13209/j.0479-8023.2020.009

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高精度分析中立体角的计算及影响

秦利青, 颜莎†, 朱吉鹏, 高原, 薛建明, 王宇钢   

  1. 北京大学物理学院, 核物理与核技术国家重点实验室, 北京 100871
  • 收稿日期:2019-03-14 修回日期:2019-04-23 出版日期:2020-03-20 发布日期:2020-03-20
  • 通讯作者: 颜莎, E-mail: syan(at)pku.edu.cn
  • 基金资助:
    国家磁约束核聚变研究计划专项(2013GB109004)和国家重点基础研究发展计划(2010CB832902)资助

Determination and Influence of Solid Angle in High Accuracy Analysis

QIN Liqing, YAN Sha†, ZHU Jipeng, GAO Yuan, XUE Jianming, WANG Yugang   

  1. State Key Laboratory of Nuclear Physics and Nuclear Technology, School of Physics, Peking University, Beijing 100871
  • Received:2019-03-14 Revised:2019-04-23 Online:2020-03-20 Published:2020-03-20
  • Contact: YAN Sha, E-mail: syan(at)pku.edu.cn

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摘要：

为了达成高精度离子束分析, 深入分析立体角的计算误差。以包含束斑大小的面对面立体角为基准, 计算点对面立体角和近似立体角在不同离子束分析实验几何参数下的精度。基于北京大学4.5 MV静电加速器离子束分析工作, 探讨束流流强分布和截面分布对立体角的影响。最后给出近似立体角精度好于 1%的几何估算条件, 并举例证明高精度立体角的实现依赖于精确的机械加工。

关键词: 面对面立体角, 束流流强分布, 核反应截面, 高精度, 离子束分析

Abstract:

In order to achieve high accuracy IBA (ion beam analysis), the calculation error of solid angle were discussed meticulously. The accuracies of face to point solid angle and approximate solid angle were calculated, based on face to face solid angle which contained area of beam spot. Based on 4.5 MV electrostatic accelerator ion beam target chamber of Peking University, solid angle influenced by distributions of cross-section and beam intensity was determined. A geometry-condition estimation for accuracy of approximate solid angle better than 1% was given and verified by two examples. For fatherly achievement of high-accuracy solid angle, accurate machining such as laser processing is required.

Key words: face-to-face solid angle, beam intensity distribution, nuclear reaction cross-section, high accuracy, ion beam analysis (IBA)

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