Molecular thermodynamic model for equilibria in solution IV. Macroscopic partition functions

The molecular ensembles statistically distributed according to internal specific characteristics and distinguished for the different exchanges with the surroundings are represented on the macroscopic scale by appropriate partition functions. The partition function for osmotic non-reacting ensemble is a function of concentration or activity of the ligand and is suited to the definition of thermodynamic potential μ. The partition function for thermal non-reacting ensemble shows the dependence upon the temperature and that for thermo-osmotic non-reacting ensemble shows the dependence upon both concentration and temperature.

The reaction partition function is suited to show the distribution of the different species over the different enthalpy levels of the reacting ensemble. The dispersion of the distributions are represented by second derivatives of the partition function.

The information contained in the entropy axis of the thermodynamic space for reacting ensembles concerning the induced dilution of the bound ligand and final dilution of the free ligand can be spanned to a formation function diagram where free energy of reaction can be graphically represented.     

Molecular thermodynamic model for equilibria in solution II. Statistical microscopic properties of ensembles

A statistical thermodynamic model for the interpretation of the equilibria in solution is based on the principle that the representative statistical ensembles can be characterized by two types of molecular distribution, one for non-reacting systems and another for reacting ones, respectively. Non-reacting and reacting ensembles correspond at the molecular level to one or a couple of potential curves, respectively. The properties of the thermodynamic model for solutions can be set up following some rules. These concern the statistical extension of the microscopic model to the whole ensemble and the successive averaging to get a mean partition function. The mean partition function is linked to the experimental domain of concentrations, dilutions and equilibrium constants (probability space) and to that of calorimetry, chemical work, and potentiometry (thermodynamics space). The formal connection between probability and thermodynamic space and the conformity of thermal equivalent dilution with the formulations of statistical thermodynamics are also shown.     

Induction of nematic cholesteric (N*) phases by charge transfer complexation of disc-shaped multiynes [1]

Based on charge transfer interactions with the (chiral) electron acceptor (-)-2-(2,4,5,7-tetranitro-9-fluorenylidenaminooxy)propionic acid ((-)-TAPA), our easily accessible disc-shaped electron rich multiynes (for example, 1 and 2) give rise to two types of cholesteric nematic phases. Thus, the binary mixture of the nematic discotic (N_D) pentakis-(4-methylphenylethynyl)phenyl hexadecyl ether (2) with (-)-TAPA exhibits its twisted variant (N*_D). Likewise, but now in a ternary mixture, the homologue 1—peripherically unsubstituted and non-mesogenic—with the two electron acceptors (-)- TAPA and 2,4,7-trinitrofluorenone—both also non-liquid crystalline—shows cholesteric nematic properties, most probably however of a columnar type (N*_C). First results concerning these charge transfer induced cholesteric-nematic properties, including phase diagrams and the helical twist of the two systems presented here, are discussed on the basis of data obtained by polarizing microscopy and differential scanning calorimetry.     

Effective potentials and the Gel''fand—Levitan equation

Moses et al, have derived an algorithm using the Gel'fand-Levitan equation for generating exactly solvable potentials for a particle in a box, harmonic oscillator, and Coulomb potentials by adding or subtracting a finite number of eigenvalues. We propose that their algorithm can be used to evaluate effective potentials for non exactly soluble molecular model Hamiltonians. We show that the algorithm can be used to remove bound states from the spectrum and to obtain an effective potential which supports predissociation resonances only. It can also be used to remove a specific resonance state from the spectrum, and to facilitate evaluations of excited states.     

Hm and Vm thermodynamic surfaces for binary mixtures in the near critical region

Even for such simple mixtures as (argon+methane), the excess enthalpy H^E_m and the excess volume V^E_m in the near critical region are about two orders of magnitude higher than for the liquid mixture at low temperatures and pressures near ambient conditions. Mixtures for which the critical temperatures are close together, and for which the critical pressures are far apart, have similar H^E_m (x,p,T) and V^E_m (x,p,T) surfaces, and near critical isotherms show double maxima in the supercritical fluid region. Mixtures for which the critical pressures are close together, and the critical temperatures are far apart, also have similar H^E_m (x,p,T) and V^E_m (x,p,T) surfaces, but isobars on the surfaces are ‘S’ shaped. The shapes of these near-critical excess-function surfaces can be understood from an inspection of the enthalpy, or residual enthalpy curves of the mixture and of the pure components. Examples of both are given. Attention is drawn to the large value that these excess functions can have close to a pure component critical point.     

两亲性嵌段共聚物PMnEOS-b-PAA的可控合成及与PS-b-PAA共组装体的形貌

在苯乙烯单体的对位引入具有亲水性链段的乙二醇单元, 利用可逆加成断裂链转移聚合方法(RAFT), 可控合成了几种新的两亲性嵌段共聚物聚(4-乙烯基苄基乙二醇单甲醚)-b-聚丙烯酸(PMnEOS-b-PAA, n=1~3), 对其温敏和pH敏性质进行了初步研究. 同时, 研究了PMnEOS-b-PAA分别在亲水性环境下(四氢呋喃/水)和亲脂性环境下(四氢呋喃/甲苯)自组装体的形貌. 将聚对二乙二醇单甲醚苯乙烯-b-聚丙烯酸与聚苯乙烯-b-聚丙烯酸按质量比1:1[m(PMDEOS-b-PAA)/m(PS-b-PAA)=1:1]共混进行共组装, 在四氢呋喃/甲苯体积比为2∶1的混合溶剂中, 发现了一类新型具有均匀分布内部孔道且表面光滑的球形组装体. 进一步研究了该组装体的可重复性和组装机理, 为其后期应用于工业上的负载催化、 小分子识别与释放提供了一种新的策略.     

应用ABEEMσπ极化力场对Zn2+水溶液配位微结构和水交换反应进行分子动力学模拟研究

应用ABEEMσπ极化力场,对Zn²⁺水溶液体系进行分子动力学模拟,探讨Zn²⁺的配位微结构和配体水交换反应。水分子模型采用ABEEM-7P精细水模型。模拟后对体系结构、电荷及动力学性质进行细致分析。结构分析表明,平衡体系中Zn²⁺的第一层配位数为6,这与实验值是一致的。水交换反应过程中,溶剂水由O-Zn-O角分线斜上（下）方进攻Zn²⁺,配位水由O-Zn-O角分线斜下（上）方逐渐远离。极化力场模拟时Zn²⁺与交换水间的距离变化波动较大,而固定电荷力场的波动较小。模拟发现,极化力场的径向分布函数能精细地展示第二、三层配体的配位微结构,第二配位层存在靠近Zn²⁺的亚壳层,能与第一水合层发生水交换反应,充分体现了Zn²⁺的极化效应。本文阐明了水交换反应中,Zn²⁺位点电荷与交换水中氧原子孤对电子位点电荷的规律性变化,从电荷的角度解释了水交换反应的合理性。ABEEMσπ极化力场模拟Zn²⁺水溶液获得第一水合层的平均配位驻留时间为2.0×10^-9 s,在实验值范围内,说明ABEEMσπ极化力场可以合理地模拟Zn²⁺水溶液体系。     

Quasi-chemical model of self-assembly and the formation of kinetically controlled structures

A quasi-chemical model of self-assembly among identical objects is proposed. The model rests on two main premises: (a) larger ensembles are more stable and (b) have slower rates of transformation, growth, and decomposition. These statements result from all paired interactions in the considered ensemble. This formulation of self-assembly is shown to be conducive to the formation of large ensembles with sizes distributed normally in a fairly narrow range, and with the concentrations of smaller ensembles being negligible. The existence of two critical points follows from the model. One is a critical concentration that initiates self-assembly in the system when exceeded. The other is a critical ensemble size that sets a threshold for the self-driven growth of ensembles in the system. The growth of ensembles nearly ceases at a point far from equilibrium, and the mean ensemble size and the ensemble’s size distribution are under kinetic control. Stable structures of this kind (with kinetic control of their organization) can serve as models for many natural self-organized systems.     

The thermodynamic characteristics of ion exchange in a sulfonated polymer based on <Emphasis Type="Italic">cis</Emphasis>-tetraphenylcalix[4]resorcinarene

The selectivity and thermodynamic characteristics of exchange of protons in SO₃H groups of a sulfonated network polymer based on cis-tetraphenylcalix[4]resorcinarene for Na⁺, Cu²⁺, and In³⁺ cations from aqueous solutions are considered. Semiempirical quantum-chemical calculations of molecular ensembles modeling the structure of the elementary polymer unit in the H and Na forms were performed. The experimental data on the equilibrium phase compositions and the heat of exchange were used to calculate the thermodynamic equilibrium constants, Gibbs energy, enthalpy, and entropy of ion exchange.     

The application of thermodynamic methods in drug design

The optimization of lead compounds as viable drug candidates involves the optimization of their binding affinity towards the selected target. The binding affinity, K_a, is determined by the Gibbs energy of binding, ΔG, which in turn is determined by the enthalpy, ΔH, and entropy, ΔS, changes (ΔG=ΔH−TΔS). In principle, many combinations of ΔH and ΔS values can give rise to the same ΔG value and, therefore, elicit the same binding affinity. However, enthalpically dominated ligands do not behave the same as entropically dominated ligands. Current paradigms in drug design usually generate highly hydrophobic and conformationally constrained ligands. The thermodynamic signature of these ligands is an entropically dominated binding affinity often accompanied by an unfavorable binding enthalpy. Conformationally constrained ligands cannot easily adapt to changes in the geometry of the binding site, being therefore highly susceptible to drug resistance mutations or naturally occurring genetic polymorphisms. The design of ligands with the capability to adapt to a changing target requires the introduction of certain elements of flexibility or the relaxation of some conformational constraints. Since these compounds pay a larger conformational entropy penalty upon binding, the optimization of their binding affinity requires the presence of a favorable binding enthalpy. In this paper, experimental and computational strategies aimed at identifying and optimizing enthalpic ligands will be discussed and applied to the case of HIV-1 protease inhibitors. It is shown that a thermodynamic guide to drug design permits the identification of drug candidates with a lower susceptibility to target mutations causing drug resistance.     

Synthesis and ion exchange behaviour of polyaniline Sn(IV) arsenophosphate: a polymeric inorganic ion exchanger

Incorporation of a polymer material into an inorganic ion exchanger provides a class of hybrid ion exchangers with a good ion exchange capacity, high stability, reproducibility and selectivity for heavy metals. Such a type of ion exchanger ‘polyaniline Sn(IV) arsenophosphate’ has been synthesized by mixing polyaniline into inorganic material. This material is characterized using X-ray, IR, TGA studies in addition to ion exchange capacity, pH-titration, elution and distribution behaviour. On the basis of distribution studies, the material has been found to be highly selective for Pb(II). Kinetic study of exchange for the metal ions has been performed and some physical parameters such as self diffusion coefficient D₀, energy E_a and entropy ΔS* of activation have been determined.     

核桃青皮制备高含氧量多孔炭及其对Ni2+的吸附性能

以核桃青皮为原料, 先用水热法制备其炭前驱体, 然后以不同的温度活化得到生物质炭(HBC_x). 采用扫描电子显微镜(SEM)、 傅里叶变换红外光谱(FTIR)、 氮气吸附-脱附仪(BET)和X射线光电子能谱(XPS)等手段对HBC_x进行了表征, 并考察其对废水中高浓度和低浓度Ni²⁺的吸附性能. SEM和BET表征结果表明, 大量的大孔(约2 μm)均匀地分布在HBC_x上, 其具有分级多孔结构, 当活化温度为800 ℃, 所得HBC₈₀₀的比表面积为 94 m²/g, 平均孔径为4.07 nm; 炭材料表面含氧和含氮官能团丰富, 氧含量(摩尔分数)高达21.24%, 可与Ni²⁺发生离子交换或共沉淀, 这些基团有利于吸附过程的进行. 所制备的多孔炭对废液中低浓度的Ni²⁺去除率接近100%, 表现出优异的吸附性能. Langmuir等温模型能很好地描述了HBC_x对Ni²⁺的吸附过程, 为单分子层吸附, HBC₈₀₀对Ni²⁺的最大理论吸附量高达127.39 mg/g. 拟二级吸附动力学模型可以更好地反映吸附过程, 吸附速率主要由化学吸附所控制. 固定床动态吸附结果表明该材料有优异的工业应用前景.     

立方体纳米Cu2O表面热力学函数的粒度及温度效应

液相还原法合成了4种粒度在40-120 nm的立方体纳米氧化亚铜（Cu₂O）。利用X射线衍射仪（XRD）、显微拉曼光谱仪和场发射扫描电子显微镜（FE-SEM）对纳米Cu₂O的物相组成及形貌结构进行了表征。采用原位微热量技术实时获取纳米/块体Cu₂O与HNO₃反应过程的热动力学信息,结合热化学循环及动力学过渡态理论计算得到纳米Cu₂O的表面热力学函数。在薛永强等建立的无内孔球形纳米颗粒的热力学模型基础上,发展了立方体纳米颗粒的热力学模型。最后由理论结合实验结果分析了粒度和温度对表面热力学函数的影响规律及原因。结果表明,摩尔表面Gibbs自由能、摩尔表面焓和摩尔表面熵均随粒度减小而增大,且与粒度的倒数呈线性关系,这与立方体热力学模型规律一致;随着温度的升高,摩尔表面焓和摩尔表面熵均增大,摩尔表面Gibbs自由能则减小。本文不仅丰富和发展了纳米热力学基本理论,还为纳米材料表面热力学研究及应用提供了方法和思路。     

多酸结构对纳米钛硅TS-1沸石催化氧化脱硫性能的影响

采用浸渍法合成了纳米钛硅TS-1沸石负载的钼系列多金属氧酸盐(POM)复合催化剂,采用扫描电子显微镜(SEM)、傅里叶红外光谱(FT-IR)、固体紫外漫反射(UV-Vis)、X-ray粉末衍射(XRD)、氮气吸附脱附(BET)、³¹P和²⁹Si魔角核磁共振(MAS-NMR)等对催化剂的结构进行表征。 研究结果表明,在低温焙烧或烘干条件下,负载后催化剂多酸的结构保持,钼酸铵高温(550 ℃)焙烧后转变为三氧化钼。 以有机硫化物噻吩(TH)、苯并噻吩(BT)和二苯并噻吩(DBT)的正辛烷溶液为模拟油品评价了催化剂的氧化脱硫性能。 实验结果表明,纳米TS-1沸石载体上不同结构多酸作为脱硫催化剂对硫化物的脱除活性顺序为:Keggin型Mo-POM＞Anderson型Mo-POM＞Dawson型Mo-POM＞Mo-金属氧化物。以上述负载的多酸为催化剂,在反应条件为:V(模拟油)=V(乙醇)=10.0 mL,m(催化剂)=0.2 g,n(H₂O₂)∶n(S)=10∶1,温度60 ℃,硫化物按照由易到难的脱除顺序为TH＞DBT＞BT,与常规的TS-1沸石或者多酸催化剂的脱除顺序存在明显差异。 这是纳米TS-1沸石对于有机硫分子氧化反应的择形效应和POM催化氧化脱硫的电子云密度影响综合作用的结果。 Keggin型Mo-POM催化剂具有良好的循环使用性能,是一类制备方法简单、催化活性高且稳定性好的绿色环保型催化剂。     

NMR studies of the tautomerism of cyclo-tris(4-R-2,6-pyridylformamidine) in solution and in the solid state

Two novel cyclo-tris(4-R-2,6-pyridylformamidine)s (R = H, CH(3)) have been studied by solution- and solid-state NMR. Both compounds show fast exchange of NH protons in dimethyl sulfoxide at room temperature. The E-syn configuration of the formamidine group with the NH protons in the outer ring position could be proved by low-temperature (1)H NMR experiments. The influence of deuteration of the NH group on the exchange rate has been demonstrated qualitatively. Proton exchange at the formamidine groups results in both a symmetric (S) and an asymmetric (A) isomer which could be spectroscopically identified and characterized at 193 K. Whereas two degenerate forms exist for S, six degenerate A forms can be distinguished. Prototropic tautomerism at one formamidine group results in exchange from S into A, whereas A is transformed to a degenerate A form or to S. It could be shown that some transitions between substructures are impossible by a single -NH-CH=N-/-N=CH-NH- exchange. The S isomer with three equivalent formamidine groups is the preferred isomer in solution as indicated by the S/A ratio at 193 K. From this result we conclude that in polyformamidines, ordered sequences of formamidine tautomers are also formed at low temperatures. Prototropic exchange was not observed in the solid state, neither by (13)C nor by (15)N solid-state NMR. For one trimer (R = CH(3)), three molecules dimethyl sulfoxide per trimer molecule are within the lattice as could be proved by (13)C CPMAS NMR.     

Yeast flotation viewed as the result of the interplay of supernatant composition and cell-wall hydrophobicity

Flotation is a process of cell separation based on the affinity of cells to air bubbles. In the present work, flotability and hydrophobicity were determined using cells from different yeasts (Hansenulla polymorpha, Saccharomyces cerevisiae, Candida albicans), which were propagated in different media and at different temperatures. Alterations to the supernatant of the cells were also carried out before the flotation assays. The results described here indicate that supernatants of the yeast cells can play a more important role on flotation than cell-wall hydrophobicity. For example, wall-hydrophobicity of strain FLT-01 of S. cerevisiae was high but flotation did not occur when their washed cells were resuspended in water. Additions of neopeptone to cultures of S. cerevisiae and H. polymorpha repressed flotation and increased the volume of foam. An additional task of the present work was to show that the relationship between cell-wall hydrophobicity and flotation performance was dependent on the method used for the measurement of hydrophobicity. Based on the assay procedure, two types of hydrophobicity were distinguished: (a) the apparent hydrophobicity for cells suspended in the medium and expressed by the degree of cell affinity to the organic solvent in the two-phase system supernatant/hexane; (b) the standard hydrophobicity, which was determined for cells suspended in a standard solution (acetate buffer, in the present work) within the acetate buffer/hexane system. Flotation of cells of S. cerevisiae and C. albicans were best related to the degree of apparent hydrophobicity (varying with the supernatant composition at the cell/medium interface) rather than to the degree of standard hydrophobicity (varying with the alterations in the wall components, since the liquid phase was constant in the assay). However, depending on the yeast unpredictable results can be obtained. For example, cells of H. polymorpha exhibited good flotation associated to a high degree of standard hydrophobicity while having a lower degree of apparent hydrophobicity. Concerning growth temperature, flotation of cells of C. albicans was strongly repressed when the temperature was raised from 30 to 38 °C while a similar effect was not observed in cultures of S. cerevisiae and H. polymorpha. It is difficult to understand and predict flotation of yeast cells but simple modifications made to the supernatant of cultures can activate or repress flotation.     

Pitzer方程应用于离子液体[Cnmim][H2PO4](n= 3, 4, 5, 6)溶解焓研究

在298.15 K下,利用等温环境溶解反应热量计,测定了离子液体[C_nmim][H₂PO₄] (n= 3, 4, 5, 6) (1-烷基-3-甲基咪唑磷酸盐)在水中不同浓度的摩尔溶解热(Δ_solH_m),根据Pitzer电解质溶液理论计算得到了标准摩尔溶解焓(Δ_solH_m⁰)和Pitzer焓参数：β_MX^(0)L, β_MX^(1)L,和C^ϕL,并计算了表观相对摩尔焓。通过推导讨论,得到了离子液体[C_nmim][H₂PO₄](n= 3, 4, 5, 6)同系物每摩尔亚甲基对标准摩尔溶解焓的贡献。     

环己烯对噻吩在CuY分子筛上吸附的影响机制

A CuY zeolite prepared by liquid phase ion exchange was characterized by X-ray photoelectron spectroscopy, pyridine in situ Fourier transform infrared (in situ FTIR) spectroscopy, and ammonia temperature programmed desorption. The effect of cyclohexene on the adsorption of thiophene over the prepared CuY zeolite was explored by in situ FTIR. In particular, the role of the zeolite's Br?nsted acidity was investigated in the adsorption process. The results show that the percentage of Cu⁺ on the surface of the CuY zeolite can reach 77%. The surface acidity of the CuY zeolite mainly comprises medium and strong Br?nsted acidity and Lewis acidity. According to the adsorption results, cyclohexene negatively influences thiophene adsorption on the Br?nsted or Lewis acid sites in CuY by competitive adsorption. Although polymerization of thiophene and cyclohexene can occur easily on the HY or REY zeolites, the presence of Br?nsted acids in the CuY zeolite was not sufficient to polymerize either thiophene or cyclohexene. This difference may be caused by an anti-synergistic effect between the Cu ions of the CuY zeolite and neighboring Br?nsted acid sites, the result of which inhibits the polymerization of adsorbed thiophene and cyclohexene.     

Calculation of conformation-dependent biomolecular forces

We develop a numerical scheme that calculates forces under given conformational states of a biomolecule by using a harmonic sampling potential. It can also be used for calculating the potential of mean force, as tested by random walks on Gaussian enthalpy barriers. Further, Brownian dynamics simulations of a finite-length freely jointed chain confirm the analytic expressions for its entropic elasticity that we derive. Our method, while generally applicable to many systems, will be particularly useful for studying the elasticity of biopolymers where various types of ensembles differ due to the finite size effect.