Calculation of phase diagrams of ternary M-Ga-Sb (M = In,Al) systems by convex hull approach

The ternary semiconductor phase diagrams of M-Ga-Sb (M = In, Al) are calculated by means of the convex hull approach. The software package TernAPI is tested as an effective tool for these purposes. The new facilities and advantages of this package are proven. It enables one to construct ternary phase diagrams based on thermodynamic properties of all phases existing in systems. The changes in phase region shapes and phase transformations with temperature can be studied by means of the TernAPI package. Selection of reliable thermodynamic models of solutions is of crucial importance for correct calculations of phase equilibria. It is shown that an adequate phase diagram can be constructed when a polynomial model of liquid solutions in the Al-Ga-Sb system is used.     

Enumeration of melting diagrams of three-component systems with stoichiometric compounds

The topologic isomorphism of polyhedra having trivalent vertexes and phase diagrams of three-component systems allows the reduction of the problem of constructing the complete set of topologic types of diagrams having given characteristics to the problem of generating labeled cubic graphs. Each of them is the Schlegel projection of some polyhedron on one of its faces. This work is concerned with the problem of enumeration possible topologic types of phase diagrams containing M binary and N ternary stoichiometric compounds. Relations between the topologic characteristics of these diagrams are presented. A great variety of types of diagrams of the class in question is demonstrated.     

SDS/正戊醇-环己烷-水拟三元体系相图及温度对相图的影响

绘制了35, 45, 55, 65 ℃下, 十二烷基硫酸钠(SDS)/正戊醇-环己烷-水体系的拟三元相图. 分析了温度对相图和微乳液区域的影响. 结果表明, 温度对油包水(W/O)反相微乳液区域大小有影响, 但影响较小, 温度对水包油(O/W)微乳液区域的影响较大, 且随温度的增加, 区域增大. 电导率曲线与相图吻合很好, 并用电解质溶液理论进行了解释.     

恒温截面法构制三维相图判误用数点分析法

以相图拓扑学规律为基础，提出了利用系列恒温截面分析相平衡空间结构以及绘制立体相图时的判误数点分析法，以实例说明数点法在相图分析中的应用，并提出了三维相图的构造的实用判误方法。     

Experimental investigation and thermodynamic modeling of the Au–Ge–Ni system

Abstract  

Phase equilibria in the Au–Ge–Ni ternary system were studied by means of scanning electron microscopy, electron probe microanalysis, X-ray diffraction, and differential scanning calorimetry. The phase relations in the solid state at 600 °C as well as a vertical section at Au₇₂Ge₂₈–Ni were established. No ternary compound was found at 600 °C. On the basis of the experimental phase equilibria data, a thermodynamic model of the Au–Ge–Ni ternary system was developed using the CALPHAD method. Thermodynamically calculated phase diagrams are shown at 600 °C, in two vertical sections and the liquidus projection. Reasonable agreement between the calculations and the experimental results was achieved.     

碱和盐对十二烷基硫酸钠/正戊醇-环己烷-水拟三元体系相图影响

拟三元相图的研究可为获得制备纳米材料的微乳液提供理论依据。本文首先通过实验绘制了45℃下十二烷基硫酸钠(SDS)/正戊醇-环己烷-水溶液体系的拟三元相图,并用电导法进行了验证,说明电导的测定结果与相图吻合的很好。其次,绘制了45℃及65℃下,SDS/正戊醇-环己烷-水、SDS/正戊醇-环己烷-硝酸锌水溶液和SDS/正戊醇-环己烷-氢氧化钠水溶液体系的拟三元相图并对6个相图进行了比较,研究了碱(NaOH)和盐(Zn(NO_3)_2)对SDS/正戊醇-环己烷-水拟三元体系相图影响。结果表明,硝酸锌及碱的加入使SDS/正戊醇-环己烷-水拟三元相图水包油(O/W)和油包水(W/O)区域明显的缩小。45℃时,SDS/正戊醇-环己烷-氢氧化钠水溶液体系的拟三元相图中的O/W区域甚至消失;65℃时,O/W和W/O区域均存在,且3个相图的W/O和O/W区域有重叠区。在此基础上,确定了制备纳米Zn O的微乳液的条件,即SDS/正戊醇-环己烷-硝酸锌水溶液和SDS/正戊醇-环己烷-氢氧化钠水溶液体系的拟三元相图中W/O区域的重叠区(各相图中的Ⅱ区)。制备的纳米氧化锌为多晶结构,平均粒径为80 nm。     

Influence of copolymer configuration on the phase behavior of ternary blends

The influence of copolymer configuration on the phase behavior of various ternary polymer blends containing a crystallizable polyester, a noncrystallizable polyether, and an acrylic random copolymer of different chain configuration was investigated. In these ternary blends, the acrylic random copolymer is typically added to control rheological properties at elevated temperatures. In fact, the acrylic random copolymers composed of various compositions of MMA and nBMA were found to have different miscibility with polyester as well as polyether, leading to substantially different phase behavior of ternary blends. Remarkable temperature dependence was also found. The mean-field Flory-Huggins theory for the free energy of mixing, extended to ternary polymer blends, was adopted for predicting phase diagrams where the exact spinodal and binodal boundaries could be calculated. Phase diagrams of ternary blends, predicted by the Flory-Huggins formulations and related calculations, were in good agreement with experimental phase diagrams. The differences observed in the rheological processes of various ternary blends with different acrylic copolymers were directly related to changes in miscibility, associated phase behavior, and chain configuration.     

Diphasic Domains Approach Method (DDAM)

If someone wants to plot an isobaric temperature-composition binary or an isobarothermal section of a ternary equilibria phase diagram he only needs to plot the limits of diphasic domains, it automatically gives the limits of the monophasic and triphasic fields. In such diagrams each diphasic domain is defined by two lines joining all the extremities of the tie-lines of the domain and limited by the first and the last one. These tie-lines are segments whose the extremities are in the plane of the diagram and can easily be determined by equilibria calculation codes. Then binary or ternary phase diagrams can be plotted only using conodes of the diphasic fields and the method used to determine the diphasic domains becomes the main point in binary and ternary phase diagrams plotting. A meshing of the surface of the diagram is certainly not the best way to obtain a rapid result. We propose an approach which consists to follow the curvature of the diphasic domains limits, the ‘Diphasic Domains Approach Method, DDAM’, which allows a rapid and robust determination of binary and ternary diagrams.     

The reciprocal CuInS2+2CdSe⇔CuInSe2+2CdS system—Part II: Liquid-solid equilibria in the system

The phase equlibria in the reciprocal system CuInSe₂+2CdS⇔CuInS₂+2CdSe were investigated by differential thermal and X-ray phase analysis. The phase diagrams of a series of vertical sections, a liquidus surface projection and a spatial phase diagram were constructed. It was established that the addition of cadmium chalcogenides leads to the stabilization of the cubic modifications of the ternary compounds, which form a continuous solid solution series, at the annealing temperatures. The boundaries of the solid solutions were determined by the change of the unit cell parameters; the isothermal sections at 620 and 870 K were constructed.     

聚合物-溶剂-非溶剂三元相图的计算

改进了Pouchly提出的Flory-Huggins半经验展开式,详细推导了相应的计算三元相图中双结点溶解度曲线(Binodal线)和亚稳均相极限线(Spinodal线)的方程;计算了非溶剂和溶剂的相互作用参数g₁₂、溶剂和醋酸纤维素的相互作用参数g₂₃同时依浓度变化的三元相图。结果表明:新的Flory-Huggins方程更具有普适性。     

Topology of melting diagrams of ternary reciprocal systems without continuous solid solutions

The topological properties were considered for melting diagrams of ternary reciprocal systems with constant-composition phases or with isomorphic diagrams with limited solid solutions. An algorithm for constructing the diagrams was described, and an example was given for a melting diagram with one binary peritectic compound and two ternary stoichiometric compounds, all melting without decomposition. A problem of enumeration of all the phase diagrams with such a set of compounds was solved.     

Ternary phase diagrams of DNTF and TNAZ and their eutectics

The eutectic ternary phase diagrams of some typical volatilizable energetic materials have been investigated by high pressure differential scanning calorimeter (PDSC). The ternary H–X phase diagrams for TNT/TNAZ/DNTF (TTD) and TNAZ/DNTF/RDX (TDR) systems were constructed by the correlation of the apparent fusion heat with the composition (H–X method). And, the ternary T–X phase diagrams (the temperature dependence on composition) for the two ternary systems were constructed by calculating from the data of the five T–X binary phase diagrams. The eutectic compositions (mol%) of TTD and TDR ternary systems were obtained to be 52.3/27.3/20.4 (H–X method), 53.2/25.8/21.0 (T–X method) and 54.9/39.6/5.5 (H–X method), 55.1/42.2/2.7 (T–X method), respectively. The eutectic temperatures of the ternary systems were obtained by PDSC determination and T–X method calculation to be 76.5 and 76.7 °C, 47.5 and 50.2 °C, respectively. It is shown that the results obtained by two methods are in agreement and the error in measuring or calculating eutectic compositions and temperatures for the two ternary systems are within allowable ranges of ±3 mol% and ±3 °C, respectively. Moreover, by means of constructing two ternary H–X phase diagrams with different fixed composition of a component and comparing the apparent fusion heat of eutectics with calculated one, the results obtained from H–X method for TTD system were proved. The results showed that the gasification or volatilization of easy volatile materials could be efficiently restrained by high pressure atmosphere, and the perfectly and ideally H–X ternary phase diagrams can be constructed. In comparison with T–X method, H–X method has as a virtue of being quick and simple, especially on constructing ternary phase diagram.     

Calcul des diagrammes de fusion de melanges ternaires. Technique numerique et application au systeme NaCl-CaCl2-MgCl2

An efficient numerical method for the calculation of the ternary phase diagrams is presented. The results obtained with the NaCl-CaCl₂-MgCl₂ ternary system are given.     

T-x-y diagram of the Ce-Bi-Te system

The character of phase interaction in the Ce-Bi-Te ternary system has been investigated by differential thermal, X-ray diffraction, and microstructural analyses, as well as by the measurement of microhardness and density of alloys. Phase diagrams of eight polythermal and projection of the liquidus of the Ce-Bi-Te ternary system have been constructed. Original Russian Text ? S.G. Mamedova, F.M. Sadygov, T.M. Il’yasly, Z.I. Ismailov, 2009, published in Zhurnal Neorganicheskoi Khimii, 2009, Vol. 54, No. 2, pp. 364–367.     

Phase diagrams of (gold+binary solder) ternary alloy systems by smith thermal analysis

Application of the Smith thermal analysis method [1] to the experimental determination of ternary alloy phase diagrams is illustrated by reference to a study of the Au?Pb?Bi system. This system, which is of interest in relation to soft-soldered interconnections in solid state device technology, exhibits a ternary eutectic and several transition peritectic reactions.     

SDS/正戊醇-二甲苯-水(盐水)拟三元体系相图和电导研究及纳米ZnO的制备

实验绘制了十二烷基硫酸钠(SDS)/正戊醇(n-C₅H₁₀OH)-二甲苯[C₆H₄(CH₃)₂]-水[或Zn(NO₃)₂溶液]四组分微乳液体系在不同温度时的拟三元相图. 测定了电导率随水(或盐溶液)含量变化的规律, 电导的规律与相图吻合. 依据电解质理论探讨了微乳液的微观结构, 研究表明, 温度对油包水(W/O)反相微乳液区域影响不大, 电解质的加入对油包水(W/O)反相微乳液区域影响较大. 通过SDS/正戊醇-二甲苯-H₂O及SDS/正戊醇-二甲苯-盐水的拟三元体系的相图观察及实验研究, 选择乳化剂(SDS/正戊醇)与二甲苯质量比为4:6的微乳液作为最佳条件, 制备出了ZnO纳米粒子.     

Calculation of critical points not requiring the derivatives of the Gibbs energy demonstrated for a mixture of two homopolymers with the corresponding copolymer

The method for the calculation of phase diagrams (spinodal, binodal and tie lines) exclusively on the basis of the Gibbs energy of mixing, ΔG, with no need of calculating its derivatives with respect to the composition variables was extended to determine the critical conditions and the condition of the stability of the critical points. The method is applied to a ternary mixture of two homopolymers with a copolymer consisting of the same monomers. The sequence distribution of the copolymer is kept constant between random and purely alternating, and phase diagrams are calculated for different chemical compositions of the copolymer. Three critical lines were found within a very small interval of the copolymer composition.     

Topological transformation of a phase diagram for the sodium nitrate-water-isopropanol ternary system

Phase equilibria and critical phenomena in the sodium nitrate-water-isopropanol ternary system, where a boundary binary liquid system shows no immiscibility over the entire temperature range of its liquid state, were studied in the range from 5 to 90°C using a visual polythermal method. The formation temperature of a monotectic critical tie-line was determined to be 6.1°C, and the solution compositions corresponding to critical solution points at various temperatures were determined. Isopropanol partition coefficients between the aqueous and organic phases of monotectic equilibrium were calculated for seven temperatures. The isopropanol salting out from aqueous solutions by sodium nitrate was shown to be enhanced by rising temperature. Isothermal phase diagrams of the title system were constructed to verify a fragment of the general scheme of topological transformations of phase diagrams for salt-binary solvent ternary systems with salting out.