A hybrid of exponential and gaussian functions as a simple model of asymmetric chromatographic peaks
A hybrid of exponential and gaussian functions as a simple model of asymmetric chromatographic peaks
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DOI：
10.1016/s0021-9673(01)00594-5
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发表时间：
2001-04-27
影响因子：
4.1
通讯作者：
Jorgenson, JW
中科院分区：
文献类型：
--
作者：
Lan, K;Jorgenson, JW
开发了指数函数和高斯函数的混合体作为不对称峰轮廓的模型。这种指数高斯混合函数 (EGH) 数学上简单、数值稳定，并且可以通过进行图形测量和应用简单方程轻松确定其参数。此外，使用易于编程到计算机中的公式，可以在任何不对称水平上准确地近似 EGH 函数的统计矩（误差在 +/-0.15% 内）。 EGH 的这些功能使得大多数色谱工作者都可以轻松实施。 EGH 可以作为指数修正高斯 (EMG) 的有用替代方案，用于对稍微不对称的峰值进行建模，因为这两个模型在相对较低的不对称性下产生几乎相同的轮廓。 EGH 还可以作为广泛的替代模型的补充，这些模型有时在描述高度不对称峰方面比 EMG 更好。通过在反相液相色谱系统上分析甲苯、苯丙氨酸和吡啶，对各种不对称性下的 EMG 和 EGH 曲线进行比较。 (C) 2001 年爱思唯尔科学 BN。版权所有。
A hybrid of exponential and Gaussian functions is developed as a model of asymmetric peak profiles. This expotential-Gaussian hybrid function (EGH) is mathematically simple, numerically stable, and its parameters are readily determined by making graphical measurements and applying simple equations. Furthermore, the statistical moments of the EGH function can be accurately approximated (within +/-0.15% error) at any level of asymmetry using formulae that are easily programmed into a computer. These features of the EGH make it very easy to implement by most chromatographers. The EGH serves as a useful alternative to the exponentially modified Gaussian (EMG) for modeling slightly asymmetric peaks since the two models produce nearly the same profile at relatively low asymmetries. The EGH also serves as an addition to the extensive list of alternative models that are sometimes better than the EMG at describing highly asymmetric peaks. A comparison between EMG and EGH curves at various asymmetries is made by analysis of toluene, phenylalanine, and pyridine on a reversed-phase liquid chromatographic system. (C) 2001 Elsevier Science BN. All rights reserved.