大学化学 >> 2024, Vol. 39 >> Issue (7): 381-385.doi: 10.3866/PKU.DXHX202311023

师生笔谈 上一篇    下一篇

多函数模型拟合表面张力与浓度曲线的比较

韩瑞麟1, 阎晓琦1,2   

  1. 1 南开大学化学学院, 天津 300071;
    2 南开大学应用化学与工程研究所, 天津 300071
  • 收稿日期:2023-11-06 录用日期:2023-12-29 发布日期:2024-02-05
  • 通讯作者: 阎晓琦 E-mail:yanxq@nankai.edu.cn
  • 基金资助:
    国家基础科学人才培养基金(J1103306)

Comparison of Multiple Function Methods for Fitting Surface Tension and Concentration Curves

Ruilin Han1, Xiaoqi Yan1,2   

  1. 1 College of Chemistry, Nankai University, Tianjin 300071, China;
    2 Institute of Applied Chemistry and Engineering, Nankai University, Tianjin 300071, China
  • Received:2023-11-06 Accepted:2023-12-29 Published:2024-02-05
  • Contact: Xiaoqi Yan E-mail:yanxq@nankai.edu.cn

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摘要： 为了更深入地研究表面张力的经典实验，利用Origin软件，采用多种函数模型对表面张力与浓度曲线分别进行拟合，并对每种函数拟合的优缺点加以讨论。其中对数函数拟合数学准确性较高，同时兼具物理意义，更贴切实况。明确了表面张力与浓度拟合的经典实验中以对数函数模型最为适宜。

关键词: 多函数模型, 表面张力, 物理化学实验, 非线性拟合, Origin软件

Abstract: In order to conduct a more in-depth study of the classic experiment on surface tension, various function models were employed using Origin software to fit the surface tension and concentration curves. The advantages and disadvantages of each function fitting were then discussed. It was found that the logarithm function exhibited high mathematical accuracy and also had a clear physical interpretation, making it more suitable and practical for fitting the surface tension and concentration curves. This finding provides valuable insights for data processing in college experimental teaching.

Key words: Multiple function models, Surface tension, Physical chemistry experiment, Nonlinear fitting, Origin software