以空時扭變高斯方程式模擬流動注入分析法之波形研究

Simulation of Peak Shapes in Flow Injection Analysis by a Temporally Convoluted Gaussian Equation

賴宜鴻(Yee-Hwong Lai)

指導教授 ： 白書禎

國立臺灣大學/理學院/海洋研究所/碩士(2005年)

https://doi.org/10.6342/NTU.2005.00559

摘要

本論文以「空時扭變」概念為基礎，推導出一條適用於流動注入分析法 (FIA) 的波形表示式，並以實驗佐證之。原理上，將傳統高斯數學式與「樣水體積」、「沿散作用」、「時移」等因子相結合，經過一個扭變的數學過程，導出空時扭變高斯表示式 (Temporally Convoluted Gaussian Function，簡稱TCG)；再代入實驗反算的參數來模擬波形，並與原記錄波形相比較。結果顯示，兩者無論在波形、波峰位置、波高、波面積上都相當的吻合，驗證本文提供的表示式能有效地模擬流動注入分析法的波形。

關鍵字

空時扭變 ； 流動注入分析法 ； 波形

並列摘要

A function based on the concept of “Spatial-Temporal Convolution” was derived to simulate peak shape of flow injection analysis (FIA). A standard Gaussian function was served as a platform, which combined with the “longitudinal dispersion effect”, “sample size effect”, and “temporal shift factor” in the standard deviation term, so that a longitudinal pattern was then generated. It was further convoluted along the time axis to create a “Temporally Convoluted Gaussian” peak. Good agreements between the experiment results and the theoretical predictions were found over a variety of experimental conditions (Length, flow rate…etc). The results show that the function proposed in this study can be used successfully for simulation of FIA peak shapes.

並列關鍵字

Flow Injection Analysis ； Temporally Convoluted Gaussian Equation

參考文獻

[1] J. M. Reijn, and H. Poppe, “A Possible Approach to the Optimization of Flow Injection Analysis.” Anal. Chim. Acta, 145 (1983) 59-70.

[2] S. D. Kolev, “Mathematical Modelling of Flow-Injection System.” Anal. Chim. Acta, 308 (1995) 36-66.

[4] W. E. van der Linden, “Flow Injection Analysis；the Manipulation of Dispersion.” Tr. Anal. Chem., 1, 8 (1982) 188-191.

[5] M. J. E. Golay, and J. G. Atwood, “Early Phases of the Dispersion of a Sample Injected in Poiseuille Flow.” J. Chromatogr., 186 (1979) 353-370.

[6] D. C. Stone, and J. F. Tyson, “Flow Cell and Diffusion Coefficient Effects in Flow Injection Analysis.” Anal. Chim. Acta., 179 (1986) 427-432.