通过反函数或者隐函数快速准确地绘制滴定曲线

Plot Accurate Titration Curves by Means of Inverse or Implicit Functions

滴定曲线是定量化学分析的重点之一,包含了大量有用信息。本文提出通过反函数或者隐函数的方式绘制滴定曲线。与传统绘制方式相比,反函数或者隐函数不仅容易推导,而且易于编程实现,因此能够快速获得大量数据点,从而显著提高滴定曲线的准确性。这种绘制方法适用于各种滴定体系,尤其是传统方法难以解决的一些复杂体系。此外,借助一些高级数据处理软件,非计算机专业人员能够快速掌握相关编程。得益于高效的绘制方案和简洁的编程,高精度滴定曲线得以发挥其应有功能,包括指示剂选择、准确滴定判别、终点误差计算以及直观地研究滴定体系的各种影响因素。本研究作为计算机技术高度发展背景下分析化学教学改革的一个尝试,对传统课程内容进行优化,去冗存精,使其简明凝练,重点突出,定量分析的主旨更加明晰。

Titration curve plays a key role in quantitative chemical analysis with useful and easily acquirable information. A method was proposed in this paper to plot accurate titration curves by means of inverse or implicit functions. Inverse or implicit functions are easier than general ones in both derivation and programming implementation. Consequently, a large number of data points are readily obtained without much demand on either mathematical or programming knowledge, which results in highly accurate titration curves. The proposed method is effective for all sorts of chemical equilibrium systems, particularly for those that traditional methods are incapable of. With highly accurate titration curves, tasks are readily implemented, such as choosing indicators, assessing a titration scheme, calculating titration errors, and evaluating factors in titration. This research is a part of a project to introduce computer-based approaches into the curriculum of analytical chemistry.