色谱柱分离过程的驰豫理论--溶质非平衡线性分配流出曲线的特征

假设溶质在两相间非平衡线性分配,根据色谱柱分离过程驰豫理论的基本模型,得到了反映各输运参量与流出曲线间关系的卷积形式表达式。采用统计矩的方法加以研制,说明了在柱效较低、流动相线速较快时可能出现的峰分裂现象。研究结果也表明,在线性色谱的情况下,两相间非平衡传质是影响峰形对称性的最重要原因。     

径向色谱中溶质的输运特征

基于溶质在径向色谱柱内输运的质量平衡方程, 在线性分配条件下, 得到了描述分离柱效和流出曲线形状各参数的理论表达式, 也对柱效和流出曲线对称性的变化趋势加以系统讨论. 结果表明: 径向色谱中, 柱效与体积流速之间的关系与轴向色谱中柱效与流动相线速度的关系在趋势上相同; 在较高流速下运行时, 径向色谱仍可以得到高柱效. 随着溶质容量因子、进样时间的增加, 柱效单调降低. 柱直径和柱长对柱效的影响存在交叉, 设计半径较大而长度较短的色谱柱将更有利于提高分离柱效. 径向色谱适宜于大分子样品的稳定分离方法建立, 也预示其对于蛋白、DNA等样品的制备分离具有明显优势.     

色谱柱分离过程驰豫理论：流出曲弛的动力学本质

在分析型线性色谱中,流出曲线一般表现为拖尾的形式,这种现象可以采用多种机理加以解释。模仿动力学驰豫理论的假设条件,认为溶质在柱过程中的迁移以跃迁形式完成,得到了浓度分布曲线的数学表达式。     

《毛细管电色谱理论基础》

毛细管电色谱作为一种新型微分离分析技术，其分离过程具有多种机理协同作用的特征。对于毛细管电色谱的理论研究不仅要考虑系统的电属性，还要兼顾溶质的两相分配特征。该书系统地阐述了毛细管电色谱的基本理论，讨论了分离过程中影响峰展宽的因素及其规律。基于作者发展的弛豫理论和唯象的输运过程处理方法，阐述了毛细管电色谱中的动力学和热力学问题，分别就不同的分离模式的选择性规律和柱内富集理论与技术、梯度洗脱的溶质输运特征加以说明。     

《毛细管电色谱理论基础》

毛细管电色谱作为一种新型微分离分析技术，其分离过程具有多种机理协同作用的特征。对于毛细管电色谱的理论研究不仅要考虑系统的电属性。还要兼顾溶质的两相分配特征。该书系统地阐述了毛细管电色谱的基本理论，讨论了分离过程中影响峰展宽的因素及其规律。基于作者发展的弛豫理论和唯象的输运过程处理方法，阐述了毛细管电色谱中的动力学和热力学问题，分别就不同的分离模式的选择性规律和柱内富集理论与技术、梯度洗脱的溶质输运特征加以说明。     

《毛细管电色谱理论基础》

毛细管电色谱作为一种新型微分离分析技术，其分离过程具有多种机理协同作用的特征。对于毛细管电色谱的理论研究不仅要考虑系统的电属性，还要兼顾溶质的两相分配特征。该书系统地阐述了毛细管电色谱的基本理论，讨论了分离过程中影嗡峰展宽的因素及其规律。基于作者发展的弛豫理论和唯象的输运过程处理方法，阐述了毛细管电色谱中的动力学和热力学问题，分别就不同的分离模式的选择性规律和柱内富集理论与技术、梯度洗脱的溶质输运特征加以说明。     

《毛细管电色谱理论基础》

毛细管电色谱作为一种新型微分离分析技术，其分离过程具有多种机理协同作用的特征。对于毛细管电色谱的理论研究不仅要考虑系统的电属性，还要兼顾溶质的两相分配特征。该书系统地阐述了毛细管电色谱的基本理论，讨论了分离过程中影响峰展宽的因素及其规律。基于作者发展的弛豫理论和唯象的输运过程处理方法，阐述了毛细管电色谱中的动力学和热力学问题，分别就不同的分离模式的选择性规律和柱内富集理论与技术、梯度洗脱的溶质输运特征加以说明。     

《毛细管电色谱理论基础》

毛细管电色谱作为一种新型微分离分析技术，其分离过程具有多种机理协同作用的特征。对于毛细管电色谱的理论研究不仅要考虑系统的电属性，还要兼顾溶质的两相分配特征。该书系统地阐述了毛细管电色谱的基本理论，讨论了分离过程中影响峰展宽的因素及其规律。基于作者发展的弛豫理论和唯象的输运过程处理方法，阐述了毛细管电色谱中的动力学和热力学问题，分别就不同的分离模式的选择性规律和柱内富集理论与技术、梯度洗脱的溶质输运特征加以说明。     

《毛细管电色谱理论基础》

毛细管电色谱作为一种新型微分离分析技术，其分离过程具有多种机理协同作用的特征。对于毛细管电色谱的理论研究不仅要考虑系统的电属性，还要兼顾溶质的两相分配特征。该书系统地阐述了毛细管电色谱的基本理论，讨论了分离过程中影响峰展宽的因素及其规律。基于作者发展的弛豫理论和唯象的输运过程处理方法，阐述了毛细管电色谱中的动力学和热力学问题，分别就不同的分离模式的选择性规律和柱内富集理论与技术、梯度洗脱的溶质输运特征加以说明。     

电中性溶质在反相毛细管电色谱柱上峰展宽的研究

根据溶质在色谱柱中迁移的基本特征及柱分离过程弛豫理论的一般输运方程,在平衡色谱和不单独考虑逆向流的简化情况下,得到了能够说明多种因素对半峰宽影响的流出曲线的二阶中心矩表达式。通过反相毛细管电色谱实验,讨论了电压、柱长及保留因子等因素与峰展宽之间的关系,也探讨了溶质在色谱柱内峰展宽的规律。结果表明:半峰宽随柱长的增加和保留因子的增大而线性增加,随电压的增加而呈非线性减小。     

色谱柱分离过程弛豫理论——流出曲线的动力学本质

在分析型线性色谱中,流出曲线一般表现为拖尾的形式,这种现象可以采用多种机理加以解释。模仿动力学弛豫理论的假设条件,认为溶质在柱过程中的迁移以跃迁形式完成,得到了浓度分布曲线的数学表达式。分别探讨跃迁次数、两相间跃迁速率及溶质在流动相中的轴向跃迁对峰形的影响,进一步说明了色谱流出曲线的动力学本质     

中性溶质在电色谱进样过程中的自富集作用

从理论上探讨了溶质在柱头产生的自富集作用过程,说明了进样时间及流动相组成对富集效果的影响规律,并以安息香和美芬妥因两种药物为例对理论加以验证.结果表明,较好地控制实验条件,在基本不影响柱效的情况下,可以达到十余倍的自富集效果.     

Theoretical evaluation of methods for extracting retention factors and kinetic rate constants in liquid chromatography

A three-dimensional stochastic simulation is used to provide a detailed understanding of mass transfer processes in liquid chromatography. In this simulation, the migration of individual molecules is established through diffusion and laminar convection within the mobile phase. The molecules interact with the stationary phase by a partition (absorption) mechanism. For these studies, the column length, linear velocity, stationary-phase diffusion coefficient, interfacial mass transfer coefficient, and equilibrium constant are varied in a system with a homogeneous surface. Heterogeneous surfaces are also investigated by having multiple types of interaction sites that are equally or unequally distributed. For each simulation, the molecular distribution is examined and characterized at specified times or column lengths. Five individual methods are then applied to extract the thermodynamic and kinetic information for transport between the mobile and stationary phases. In the first method, all of the molecules are initially distributed in the mobile phase and the fraction remaining is monitored as a function of time. These simulation data are fit to a single exponential decay by nonlinear regression to determine the "true" retention factors and rate constants. The other methods rely on evaluating the shape of the zone profiles along the column. The statistical moments of the profiles are used to calculate the mean and the variance, which are related to the retention factors and the rate constants, respectively. The profiles are also fit to the exponentially modified Gaussian equation, the Giddings equation, and the Thomas equation. The fitting parameters from these equations are then used to calculate the retention factors and rate constants. Comparisons of the accuracy relative to the "true" retention factors and "true" rate constants, as well as the advantages and limitations of each method are discussed.     

HPLC retention behavior on hydride-based stationary phases

Two stationary phases attached to a silica hydride surface, cholesterol and bidentate C18, are investigated with a number of pharmaceutically related compounds in order to illustrate the various retention mechanisms that are possible for these bonded materials. The test solutes range from hydrophilic to hydrophobic based on log P (octanol/water partition coefficient) and pKa values. The mobile phases consist of acidified (formic and perchloric acid) water/methanol or water/ACN mixtures. Of particular interest are the high organic content mobile phase compositions where the retention would increase if the bonded material was operating in the aqueous normal phase (ANP) mode. Plots of retention factor (k) versus mobile phase composition are used to elucidate the retention mechanism. A number of examples are presented where solutes are retained based on RP, ANP, or dual retention mechanisms. The silica hydride-based stationary phases can also retain compounds in the organic normal phase.     

Role of the water as a surface tension modifier for the retention of a series of dansylaminoacids on a beta-CD stationary phase

In reversed phase liquid chromatography (RPLC), using a surface tension treatment, the retention and separation of a series of d,l-dansylaminoacids were investigated with native beta-cyclodextrin as a chiral stationary phase. The enantioselectivity thermodynamic parameters were determined from linear van't Hoff plots. An analysis of the experimental variations in the retention factor with different fractions of water in the mobile phase was performed. The number of water molecules, n, excluded from the solute beta-cyclodextrin cavity interface when the analyte transfer occurred, was determined. Using these n values, the relative degrees of compound inclusion were calculated and correlated to both the steric bulkiness of the solute and the thermodynamic data.     

Stochastic simulation of laminar and electroosmotic convection in capillary electrophoresis and electrochromatography.

A stochastic (Monte Carlo) simulation has been utilized to study the combination of laminar and electroosmotic convection under typical conditions for capillary electrophoresis and electrochromatography. The radial velocity profiles are determined for varying proportions of laminar and electroosmotic flow at a constant linear velocity. In addition, the molecular zone profiles and the corresponding statistical moments are established for nonretained and retained solutes. It is found that the radial velocity profile has significant influence for solutes that are not retained by a stationary phase, including those separated by electrophoresis alone. However, this effect is rapidly diminished such that retained solutes with an absorption coefficient as small as 0.1 show little influence if their diffusion coefficients in the mobile phase are on the order of 1.0 x 10(-5) cm2/s. Larger solutes with diffusion coefficients of 1.0 x 10(-6) cm2/s or less show slightly greater variance and asymmetry. In most cases, however, slow kinetics and resistance to mass transfer in the stationary phase exceed that in the mobile phase. As a consequence, there is little effect of the radial velocity profile for retained solutes.     

Conformational relaxation dynamics of a poly(N-isopropylacrylamide) aqueous solution measured using the laser temperature jump transient grating method

We observed phase transition and phase relaxation processes of a poly(N-isopropylacrylamide) (PNIPAM) aqueous solution using the heterodyne transient grating (HD-TG) method combined with the laser temperature jump technique. The sample temperature was instantaneously raised by about 1.0 K after irradiation of a pump pulse to crystal violet (CV) molecules for heating, and the phase transition was induced for the sample with an initial temperature just below the lower critical solution temperature (LCST); the following phase relaxation dynamics was observed. Turbidity relaxation was observed in both the turbidity and HD-TG responses, while another relaxation process was observed only in the HD-TG response, namely via the refractive index change. It is suggested that this response is due to formation of globule molecules or their assemblies since they would have nothing to do with turbidity change but would affect the refractive index, which is dependent on the molar volume of a chemical species. Furthermore, the grating spacing dependence of the HD-TG responses suggests that the response was caused by the counter propagating diffusion of the coil molecules as a reactant species and the globule molecules as a product species and the lifetime of the globule molecules ranged from 1.5 to 5 seconds. Thus, we conclude that the turbidity reflects the dynamics of aggregate conditions, not molecular conditions. The coil and globule sizes were estimated from the obtained diffusion coefficient. The sizes of the coil molecules did not change at the initial temperatures below the LCST but increased sharply as it approaches LCST. We propose that the coil-state molecules associate due to hydrophobic interaction when the initial temperature was higher than LCST minus 0.5 K and that the globule-state molecules generated from the coil-state molecules showed a similar trend in temperature. The phase transition was also induced by heating under a microscope, and the relaxation process was followed using the fluorescence peak shift of a fluorescent molecule-labeled PNIPAM. The result also supports the existence of a globule molecule or its assembly remains for several seconds in the phase relaxation.     

Interface film resistivities for heat and mass transfers-integral relations verified by non-equilibrium molecular dynamics

Integral relations that predict interface film transfer coefficients for evaporation and condensation have recently been derived. According to these relations, all coefficients can be calculated for one-component systems, using the thermal resistivity and the enthalpy profile through the interface. The integral relations were tested in this work using nonequilibrium molecular dynamics simulations for argon-like particles and n-octane molecules. The simulations confirm the integral relations within the accuracy of the calculation for both systems. Evidence is presented for the existence of an excess thermal resistivity on the gas side of the surface, and the fact that this property is decisive for interface heat and mass transfer coefficients. The integral relations were used to predict the mass transfer coefficient for n- octane as a function of surface tension. The findings are important for modeling of one-component phase transitions.     

Diffusion relaxation times of nonequilibrium isolated small bodies and their solid phase ensembles to equilibrium states

The possibility of obtaining analytical estimates in a diffusion approximation of the times needed by nonequilibrium small bodies to relax to their equilibrium states based on knowledge of the mass transfer coefficient is considered. This coefficient is expressed as the product of the self-diffusion coefficient and the thermodynamic factor. A set of equations for the diffusion transport of mixture components is formulated, characteristic scales of the size of microheterogeneous phases are identified, and effective mass transfer coefficients are constructed for them. Allowing for the developed interface of coexisting and immiscible phases along with the porosity of solid phases is discussed. This approach can be applied to the diffusion equalization of concentrations of solid mixture components in many physicochemical systems: the mutual diffusion of components in multicomponent systems (alloys, semiconductors, solid mixtures of inert gases) and the mass transfer of an absorbed mobile component in the voids of a matrix consisting of slow components or a mixed composition of mobile and slow components (e.g., hydrogen in metals, oxygen in oxides, and the transfer of molecules through membranes of different natures, including polymeric).