## Some Considerations on the Mathematization of Quantitative Analysis

Gan Feng,, Chu Yongxin, Yang Weilan

Abstract

This paper provides a primary analysis and discuss on the mathematization of quantitative analysis. By analyzing the present situation of chemical quantitative analysis, instrumental analysis and chemometrics in the establishment and application of mathematical theories, it pointed out that the mathematization of quantitative analysis has not been realized. The mathematization of quantitative analysis should be realized by establishing mathematical equation that contains chemical parameters, is self-contained and can be evolved into mathematical theorem.

Keywords： Chemical quantitative analysis ; Mathematization

Gan Feng. Some Considerations on the Mathematization of Quantitative Analysis. University Chemistry[J], 2021, 36(2): 2003047-0 doi:10.3866/PKU.DXHX202003047

## 1 化学定量分析的数学化现状

${c}\text{(}\text{HCl}\text{)}\text{×}{{V}}_{\text{0}}\text{=}{c}\text{(}\text{NaOH}\text{)}\text{×}{{V}}_{\text{sp}}$

$\left[{\text{H}}^{\text{+}}\right]\text{=}{c}\left(\text{HCl}\right)\text{×}\frac{{{V}}_{\text{0}}}{{{V}}_{\text{0}}\text{+}{{V}}_{\text{t}}}\text{-}{V}\left(\text{NaOH}\right)\text{×}\frac{{{V}}_{\text{t}}}{{{V}}_{\text{0}}\text{+}{{V}}_{\text{t}}}$

## 2 仪器定量分析的数学化现状

${{K}}_{\text{max}}\text{=}\frac{\text{2}{{λ}}^{\text{2}}}{{{D}}_{{λ}}}\sqrt{\frac{\text{ln 2}}{\text{π}}}\text{×}\frac{\text{π}{{e}}^{\text{2}}}{{m}{{c}}^{\text{2}}}{Nf}$

${y}\text{=}{kc}\text{+}{η}\text{+}{ε}$

## 3 化学计量学对定量分析数学化的作用

${{x}}_{{ijk}}{}{=}{}\sum _{{n=1}}^{{N}}{{a}}_{{in}}{{b}}_{{jn}}{{c}}_{{kn}}{+}{{}{e}}_{{ijk}}{，}{}{i}{}{=}{}{1, }{}{2, ..., }{}{I}{;}{}{j}{}{=}{}{1, }{}{2, ..., }{}{J}{;}{k}{}{=}{}{1, }{}{2, ..., }{}{K}$

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