非线性色谱的非平衡热力学理论Ⅰ.非线性-非理想-平衡色谱过程的局域Lagrangian方法

提出非线性-非理想-平衡色谱过程的局域Lagrangian(LLA)方法的矩阵形式。基于Lagrangian描述、局域平衡假设和热力学状态函数等基本物理原理,设计了局域热力学路径(LTP),采用LTP获得了完全热力学状态递推方程的矩阵形式。该递推方程具有Markov特性。对基于LTP的LLA方法的收敛性、相容性和稳定性进行了理论分析和数值实验,给出LLA的稳定性条件。以矢量形式表示了该LLA计算机程序,并模拟了空间分布、轴向扩散和进样量等因素对洗脱曲线的影响。在遍历空间中,建立了离散时间形式的溶质带演化轨线和离散时间控制矢量之间的对应关系。按Bellman动态规划思想,给出对于非线性-非理想-平衡色谱进行优化控制的多段决策问题的简明算法,以此可获得状态矢量和控制矢量的优化轨线。该LLA的矩阵形式消除了制备色谱理论和Markov决策过程或其他基于离散时间状态的现代控制方法之间的鸿沟。     

强极性中药组分的亲水作用色谱保留行为

采用亲水作用色谱模式,以二醇基硅胶为固定相,水-有机溶剂为流动相,通过改变流动相中有机溶剂种类及浓度、缓冲盐、有机酸种类及其浓度、柱温等条件,研究了强极性中药组分在亲水作用色谱中的保留行为。结果表明:流动相中水的比例在0～100%(V/V)变化时,溶质保留呈U型曲线,属于亲水色谱和反相色谱的混合保留机理。水含量在0～50%(V/V)范围时,亲水作用控制溶质的保留。溶质保留随流动相中缓冲盐浓度的增大而增强。对于酸性溶质,其保留随有机酸三氟乙酸、甲酸、乙酸的酸性降低而增大。     

非理想状态下的塔板理论模型

 在过程中 ,将流动相看成是由许多连续的塔板组成 ,每一塔板的高度与固定相塔板的高度相同。初始浓度的溶质被认为全部集中在流动相的第一塔板中 ;溶质在流动相和固定相之间动态分布。由于动力学因素的影响 ,当流动相流过一个塔板距离时 ,溶质不能够迅速地从固定相释放到流动相中 ,因此溶质在流动相和固定相中的分布浓度受到两个因素即反映系统热力学性质的分配系数P和反映系统动力学性质的释放概率因子α的影响。这一过程被认为是非理想状态下的过程。     

多羟基化合物键合亲水色谱固定相的制备及其分离性能

用硅胶与氨丙基三甲氧基硅烷反应,再与δ-葡萄糖酸内酯反应,制备了一种多羟基化合物键合的新型亲水色谱固定相。以水-有机溶剂(乙醇、乙腈、四氢呋喃)为流动相,通过改变流动相中有机溶剂的种类及浓度、缓冲盐浓度和柱温,考察了该固定相对6种强极性中药组分的保留行为和保留机理。当水的比例在0～40%(v/v)范围时,溶质的保留随着流动相中水的比例的增大而减小,属于典型的亲水色谱分离模式;而当流动相中水的比例在0～100%(v/v)范围内变化时,溶质的保留随着水的比例变化呈“U”形曲线,属于亲水色谱和反相色谱的混合保留机理。缓冲盐的浓度和pH效应说明,所选用的中药组分与所制备的固定相间还存在弱的静电作用。该固定相对6种中药组分以及丹参注射液具有良好的分离性能,表明其在强极性中药有效成分的分离及其他强极性物质的分离分析中具有一定的应用前景。     

非线性色谱的Lagrange描述方法

在非平衡热力学分离理论(NTST)的框架下, 以Lagrange描述、连续性公理和局域平衡假设(LEA)三大基本法则为基础, 提出了处理非线性色谱中的对流和扩散(激波)现象的局域Lagrange方法(LLA). 该方法采用的局域Lagrange描述和相应递推方程显著地区别于当代色谱理论体系(Euler描述-偏微分方程), 并且与信息和控制科学相适应.     

反相液体色谱中溶质保留行为的研究——保留行为与溶质及流动相性质的关系

本文从热力学乎衡的观点出发,导出了在一定的固定相和流动相中,描述保留行为与溶质性质关系的通用式,并通过实验及文献数据验证了该式,获满意结果。当固定相一定时,得出溶质保留值的对数1n k’与二元流动相中有机改性剂的组成呈二次函数关系,亦用实验验证了这种关系。讨论了三元体系中溶质的保留行为与流动相中两种有机改性剂间的关系,以及各种情况下影响色谱体系选择性的因素。     

定标粒子理论研究HPLC分子间相互作用对K′的影响

本文以统计热力学的观点,对流动相和固定相分别采用定标粒子理论和点阵模型研究HPLC过程中溶质分子与流动相分子、固定相分子之间的相互作用,得到了描述分子间相互作用与K′之间定量关系的关联方程,并通过实验对该方程加以验证。     

反相高效液相色谱中溶质保留过程的热力学研究 Ⅱ. 焓变及其分量, 吸附及解吸附焓变

依据液相色谱中溶质计量置换保留模型, 从理论上分别推导出了在反相高效液相色谱(RP-HPLC)中lgI(与1mol溶质对固定相的亲合势有关的常数)和Z(对应于1mol溶质被固定相吸附时释放出置换剂的摩尔数)对绝对温度导数的线性关系式。发现非极性与极性小分子溶质的lgI和Z均具有热力学衡常数的特征。如在前报[1]报告的吉布斯自由能变一样, 也推导出了可将溶质保留过程中的总吸附焓变△H(Pa)分成两个独立的分量, 吸附焓变△(1,a)和解吸附焓变△H(Z,D)的表达式。可同时对在流动相中不同置换剂浓度条件下的△H(Pa)和△(Z,D)进行估算,并与实验值进行了比较, 偏差小于±10%。并用△H(1,a)和△H(Z,D)值对溶质在RP-HPLC的保留过程中热变化进行了解释。     

反相液相色谱中固定相和流动相对柱相比的贡献

依据柱相比的热力学定义和反相液相色谱中溶质的计量置换保留理论(the stoichiometric dispheement heory of solute for retention，SDT-R)，对反相液相色谱中固定相和流动相性质、温度对柱相比的影响进行了研究。结果表明：固定相的种类和配基的疏水性对柱相比影响较大，而流动相中有机溶剂的种类，特别是脂肪酸作为置换剂时，对柱相比的影响更大，而柱相比受温度的影响较小。此外，通过用27种小分子溶质对柱相比的测定，其logI和Z良好的线性关系，进一步证明柱相比是一个与溶质性质无关的常数。     

定标粒子理论研究HPLC分子间相互作用对K'的影响

本文以统计热力学的观点, 对流动相和固定相分别采用定标粒子理论和点阵模型研究HPLC过程中溶质分子与流动相分子、固定相分子之间的相互作用, 得到了描述分子间相互作用与K'之间定量关系的关联方程, 并通过实验对该方程加以验证。     

A novel thermodynamic state recursion method for description of nonideal nonlinear chromatographic process of frontal analysis

A novel thermodynamic state recursion (TSR) method, which is based on nonequilibrium thermodynamic path described by the Lagrangian-Eulerian representation, is presented to simulate the whole chromatographic process of frontal analysis using the spatial distribution of solute bands in time series like as a series of images. TSR differs from the current numerical methods using the partial differential equations in Eulerian representation. The novel method is used to simulate the nonideal, nonlinear hydrophobic interaction chromatography (HIC) processes of lysozyme and myoglobin under the discrete complex boundary conditions. The results show that the simulated breakthrough curves agree well with the experimental ones. The apparent diffusion coefficient and the Langmuir isotherm parameters of the two proteins in HIC are obtained by the state recursion inverse method. Due to its the time domain and Markov characteristics, TSR is applicable to the design and online control of the nonlinear multicolumn chromatographic systems.     

Factors influencing retention and resolution of substituted alkylbenzenes in reversed-phase liquid chromatography

Summary The retention data of isomeric xylenes, ethyltoluenes and diethylbenzenes, and of mesitylene, benzene, toluene and ethylbenzene were obtained on a reversedphase column using methanol-water and ethanol-water mobile phases at four different temperatures. This database was used to relate the dependence of solute retention and resolution on the polarity of the mobile phase, solute dipole moment, and column temperature. The additivity of the free energy of the transfer of solute molecules or solute segments from the stationary phase to the mobile phase, was examined for the isomeric compounds. For this, the logarithm of the net retention volume was substituted for the free energy. Deviations from the additivity of free energies indicate that the separation of isomeric substituted alkylbenzenes is governed by their differential interactions with both the polar mobile phase and nonpolar stationary phase. Among the disubstituted alkylbenzenes,ortho-isomers favor the mobile phase more andpara-isomers tend to prefer the stationary phase more. Themeta-isomers are found to follow the additivity rule closely. These trends are amplified as the polarity of the mobile phase is increased indicating that these isomers are resolved better in water-rich mobile phases. These findings are substantiated by analogous results from gas-liquid chromatographic retention data, estimation of dipole moment effects, and examination of the entropic and enthalpic contributions to the net retention volume.Dedicated to Professor Leslie S. Ettre on the occasion of his 70th birthday.     

乳状液对色谱过程的影响

运用特征线法和多流动相色谱的概念,从理论上研究了在非线性色谱过程中流动相为乳状液时其溶质浓度波的类型与特征。当流动相为乳状液时,溶质在乳状液的内相和外相之间发生分配并同时在固定相上进行吸附,此时其浓度波图像与流动相为均相时有很大不同。结合相应的算例分析并讨论了表面活性剂在乳状液内相和外相间的分配关系及其在固定相上的吸附等温线为Langmuir型时其浓度波的各种运动图像及形成机理,并与流动相为均相时的色谱过程作了比较。分析结果表明,多流动相的存在可能使简单波“陡峭化”而成为激波,或使激波溃散为简单波。     

Chromatographic characterization of a bonded liquid crystal stationary phase for HPLC

Summary A chromatographic and thermodynamic study of the compound [4-(allyloxy)benzoyl]-4-methoxyphenyl (ABMP) as a model of a chemically bonded liquid crystal stationary phase for HPLC was undertaken. A number of polycyclic aromatic hydrocarbons (PAHs) and two small solutes, carvone and pulegone, were studied under varying solvent and temperature conditions. Plots of log k vs. % organic in the mobile phase were not completely linear in all cases. The van't Hoff plots revealed at least one phase transition. The enthalpies of solute transfer from the mobile phase to the ABMP phase were determined for several PAHs. All tests indicate that ABMP possess liquid crystal properties when bonded to particulate silica.     

Structure-retention and mobile phase-retention relationships for reversed-phase high-performance liquid chromatography of several hydroxythioxanthone derivatives in binary acetonitrile-water mixtures

The reversed-phase high-performance liquid chromatographic (RP-HPLC) behavior of some newly synthesized hydroxythioxanthone derivatives using binary acetonitrile-water mixtures as mobile phase has been examined. First, the variation in the retention time of each molecule as a function of mobile phase properties was studied by Kamlet-Taft solvatochromic equations. Then, the influences of molecular structure of the hydroxythioxanthone derivatives on their retention time in various mobile phase mixtures were investigated by quantitative structure-property relationship (QSPR) analysis. Finally, a unified model containing both the molecular structure parameters and mobile phase properties was developed to describe the chromatographic behavior of the systems studied. Among the solvent properties, polarity/polarizability parameter (π^*) and hydrogen-bond basicity (β), and among the solute properties, the most positive local charge (MPC), the sum of positive charges on hydrogen atoms contributing in hydrogen bonding (SPCH) and lipophilicity index (log P) were identified as controlling factors in the RP-HPLC behavior of hydroxythioxanthone derivatives in actonitrile-water binary solvents.     

单柱离子色谱法测定一价阳离子的流动相研究

对单柱离子色谱法测定一价阳离子的流动相进行了系统研究，阐述了一价阳离子的保留行为和电导检测行为与流动相之间的关系，分别对无机酸（硝酸）、有机酸（柠檬酸）和芳香碱（苯胺）为流动相测定一价阳离子进行了讨论，其中有机酸和无机酸是较为适宜的流动相。     

Comparison of the performance of non-ionic and anionic surfactants as mobile phase additives in the RPLC analysis of basic drugs

Surfactants added to the mobile phases in reversed-phase liquid chromatography (RPLC) give rise to a modified stationary phase, due to the adsorption of surfactant monomers. Depending on the surfactant nature (ionic or non-ionic), the coated stationary phase can exhibit a positive net charge, or just change its polarity remaining neutral. Also, micelles in the mobile phase introduce new sites for solute interaction. This affects the chromatographic behavior, especially in the case of basic compounds. Two surfactants of different nature, the non-ionic Brij-35 and the anionic sodium dodecyl sulfate (SDS) added to water or aqueous-organic mixtures, are here compared in the separation of basic compounds (β-blockers and tricyclic antidepressants). The reversible/irreversible adsorption of the monomers of both surfactants on the stationary phase was examined. The changes in the nature of the chromatographic system using different columns and chromatographic conditions were followed based on the changes in retention and peak shape. The study revealed that Brij-35 is suitable for analyzing basic compounds of intermediate polarity, using "green chemistry", since the addition of an organic solvent is not needed and Brij-35 is a biodegradable surfactant. In contrast, RPLC with hydro-organic mixtures or mobile phases containing SDS required high concentrations of organic solvents.     

A New Equation for Solute Retention in Liquid Chromatography

In consideration of the adsorption of solvent, diluent and solute molecules on the surface of a stationaryphase, a new equation for solute retention in liquid chromatography is presented. This equation includesthree parameters: the displacement equilibrium constant (Ksd) between the solvent and diluent molecules onthe surface of the stationary phase, the total number(N) of the solvent and diluent molecules released fromthe stationary phase after one solute molecule being adsorbed, and the parameter (I) related to the thermody-namic equilibrium constant for the solute adsorption on the stationary phase. Over the whole concentrationrange of the solvent in the mobile phase, the experimental retention data can be well described by this equa-tion, parameters K~, N and I can be obtained by the regression analysis of the experimental retention data,and consequently the number of the solvent and the diluent molecules displaced by one solute molecule fromthe stationary phase can also be derived at different solvent concentrations in the mobile phase,