由Pai 提出的理論揭露了長久以來被忽略的時間效應，從本實驗 結果觀察，不管是在中低流速下的空圖呈現對稱分佈或是高流速的空 圖變成趨前，其時圖結果皆有明顯的拖尾，空圖與時圖存在如此顯著 的差異，證明了在流動注入分析法中的時圖波形拖尾的原因，有很大 的比例是由時間效應所造成的。造成此效應的原因是傳統的單通道偵 測器在固定的偵測位置，而樣品在管內的空間分佈狀態隨時間一直在 改變，使得偵測器不斷累積樣品在空間中的變化。
比較時圖估算的經驗分散係數(D*)與由空圖得到的空間分散係 數，二者差異不大，此舉證明了 D*的計算方法可行，並且其值為整 個系統的平均值，對使用傳統單通道偵測器的流動注入分析系統，可 以用該計算方法來求得樣品在空管內的平均分散係數。
本實驗採用的儀器架構，可以觀察到樣品在管路中的空間分佈，
未來可變更管路內徑或樣品體積等其他條件，來進一步研究該條件對 時間效應影響。
參考文獻
[1] J. Ruzicka, E.H. Hansen, “ Flow injection analyses : Part I. A new concept of fast continuous flow analysis”, Anal. Chim. Acta 78 (1975) 145-157.
[2] S. D. Kolev, “Mathematical modelling of flow-injection systems”, Anal. Chim. Acta. 308 (1995) 36-66.
[3] J. Ruzicka, E.H. Hansen, in: Flow Injection Analysis, 2nd ed, Wiley, New York, Chichester, Brisbane, Toronto, Singapore, 1988.
[4] D.A. Skoog, F.J. Holler, T.A. Nieman, in: Principles of Instrumental Analysis, 5th ed, Saunders College Pub./ Harcourt Brace College Publishers, Philadelphia/ Orlando, 1998.
[5] R. Tijssen, “Axial dispersion and flow phenomena in helically coiled tubular reactors for flow analysis and chromatography”, Anal. Chim.
Acta 114 (1980) 71-89.
[6] J. M. Reijn, W.E. van der Linden, H. Poppe, “Some theoretical aspects of flow injection analysis”, Anal. Chim. Acta 114 (1980) 105-118.
[7] J.T. Vanderslice, K.K. Stewart, A.G. Rosenfeld, D.J. Higgs,
“Laminar dispersion in flow injection analysis”, Talanta 28 (1981) 11-18.
[8] D. C. Stone and J. F. Tyson, “Effect of Flow Cell on Dispersion in Flow Injection Analysis”, Anal. Proc. 23 (1986) 23-26.
[9] D. C. Stone and J. F. Tyson, “Models for dispersion in flow injection analysis. Part 1. Basic requirements and study of factors affecting dispersion”, Analyst 4 (1987) 515-521.
[10] S. D. Kolev, E. Pungor, “Mathematical Modeling of Single-Line Flow- Injection Analysis Systems without Chemical Reaction”, Anal.
Chem. 60 (1988) 1700-1709.
[11] J.P. Foley, J.G. Dorsey, “A Review of the Exponential Modified Gaussian (EMG) Function : Evaluation and Subsequent Calculation of Universal Data”, J. Chromatogr. Sci. 22 (1984) 40-46.
[12] D. Hanggi, P. Carr, “Errors in exponentially modified Gaussian equations in the literatre”, Anal. Chem. 57 (1985) 2394-2395.
[13] J.P. Foley, J.G. Dorsey, “Equations for calculation of chromatographic figures of merit for ideal and skewed peaks”, Anal.
Chem. 55 (1983) 730-737
[14] J.P. Foley, “Equation for chromatographic peak modeling and calculation of peak area”, Anal. Chem. 59 (1987) 1984-1987
[15] J.R. Torres-Lapasio, J.J. Baeza-Baeza, M.C. Garcia-Alvares-Coque,
“A Model for the Description, Simulation, and Deconvolution of Skewed Chromatographic Peaks”, Anal. Chem. 69 (1997) 3822-3831.
[16] V.B. Di Marco, G.G. Bombi, “Mathematical functions for the representation of chromatographic peaks”, J. Chromatogr. A 931 (2001) 1-30.
[17] J. Li “Comparison of the capability of peak functions in describing real chromatographic peaks”, J. Chromatogr. A 952 (2002) 63-70.
[18] S.C. Pai, “Evaluation of the temporal effect to the peak tailing in flow injection analysis”, J. Chromatogr. A 950 (2002) 271-279.
[19] 賴宜鴻，「以空時扭變高斯方程式模擬流動注入分析法之波形研 究」，國立台灣大學，海洋研究所碩士論文，民國九十四年。
[20] S.C. Pai, “Parcel model for peak shapes in chromatography -Numerical verification of the temporal distortion effect to peak asymmetry”, J. Chromatogr. A 988 (2003) 233-260.
[21] S.C. Pai, C.S. Chern, L.Y. Chiao, “Further clarifications on the parcel model”, J. Chromatogr. A 1018 (2003) 125-127.
[22] S.C. Pai, “Temporally convoluted Gaussian equations for chromatographic peaks”, J. Chromatogr. A 1028 (2004) 89-103.
[23] S.C. Pai, L.Y. Chiao, “Temporal Shifting：A Key to the Skewed Peak Puzzle”, J. Chromatogr. A (Submitted in 2005).
[24] J. M. Reijn, W. E. Van der Linden, H. Poppe, “Transport phenomena in flow injection analysis without chemical reaction”, Anal. Chim.
Acta 126 (1981) 1-13.
[25] S.H. Brooks, D.V. Leff, M.A. Hernandez Torres, J.G. Dorsey,
“Dispersion coefficient and moment analysis of flow injection analysis peaks”, Anal. Chem. 60(24) (1988) 2737-2744.
[26] P. Atkins, J. de Paula, “Atkins' Physical Chemistry”, seventh edition, Oxford, New York, 2002.
[27] G. I. Taylor, “Dispersion of Soluble Matter in Solvent Flowing Slowly Through a Tube”, Proc. Roy. Soc. A 219 (1953) 186-203.
[28] G. I. Taylor, “The Dispersion of Matter in Turbulent Flow Through a Pipe”, Proc. Roy. Soc. A 223 (1954) 446-468.
[29] S.C. Pai, Y.H. Lai, L.Y. Chiao, T. Yu, “Dispersion-convolution model for simulating peaks in a flow injection system”, J.
Chromatogr. A (Submitted in 2006).
[30] J. M. Rejin, W. E. van der Linden, H. Poppe, “Dispersion in Open Tube and Tubes Packed with Large Glass Beads”, Anal. Chim. Acta 123 (1981) 229-237.
[31] J. H. M. van den Berg, R. S. Deelder, H. G. M. Egberink,
“Dispersion Phenomena In Reactor For Flow Analysis”, Anal. Chim.
Acta 114 (1980) 91-104.
[32] Pai, 2006 (Personal communication)
附錄 A 符號定義表
Z 記錄波形方程式的指數因子 -