EIGHT-POINT STRAIGHT-LINE-NET-DIAGRAMS OF BINARY SIX-PHASE (n+4) MULTISYSTEMS (Ⅱ)——DERIVATION FROM THEORY OF PHYSICALLY REAL NETS

Based on the theory of physically real nets, the 8- point straight-line nets of bi-nary 6- phase (n + 4) multisystems (31 in toto) have been derived directly from the l-point straight-line nets. This result is in complete agreement with that derived fromthe theory of closed nets, indicating the incorrectness of the previous conclusion thatthere is only one 8-point straight-line net which corresponds to only one 8- pointstraight-line-net-diagram for binary 6- phase multisystems.     

岩石成因网上n+2相组合平衡p-T线锥的构筑

本文首先讨论了p-T图上围绕无变度点周围n+2相组合反应方程的建立,进而着重提出了利用符号函数矩阵VF或SF确定单变度反应线排布的新算法,其中V和S分别为n+2个单变度反应的△V(体积变化)和△S(熵变化)值的符号函数的对角矩阵,F为反应中各相化学计量系数的符号函数矩阵,算得VF或SF即可确定排布。由这种算法,大大简化相应计算机程序,从而实现了n+2相组合平衡p-T线锥的自动构筑,并使进一步自动构筑完整p-T网成为可能。     

二元六相(n+4)多体系的八点直线网图——Ⅱ.由物理实在网理论推导

本文由物理实在网理论直接从一点直线网出发导出了二元六相(n+4)多体系的八点直线网,共31个。这一结果同由封闭网理论导出的结果相同,表明过去关于二元六相多体系仅有一个八点直线网并仅对应于一张八点直线网图的结论是错误的。     

论n k(k≥3)相多体系封闭网图的某些性质

本文讨论了n 3及n 4相多体系封闭网图的某些性质,提出了n k(k≥3)相多体系双变度组合特征稳定多边形定理,说明:任何n k(k≥3)相多体系的一个双变度组合,最大可在封闭网图的一个无对角线的k边形中稳定,最小可在一个三边形中稳定。在给出这一定理的证明后,文中着重指出,此定理并不意味着在任何n k相多体系的封闭网图或实际相图中都必须存在无对角线的k边形,即使该实际相图具有最大的闭合度。     

APPLICATION OF COMBINATION PRINCIPLE FOR CLOSED NETS IN n k(k≥4) PHASE MULTISYSTEMS——ESTABLISHMENT OF COMPLETE SYSTEMS OF CLOSED NETS FOR UNARY SIX-PHASE (n 5) MULTISYSTEMS

Applying the combination principle for closed nets in n k(k≥4) phase multisystems, the author has derived the complete systems of closed nets of unary six-phase(n 5) multisystems. Every typical closed net involves exclusively eight invariant points. Two topologically distinct configurations of the typical closed nets have been generated from two different ways of combination, and hence, two distinct representation polyhedra have been constructed. On the basis of these configurations or polyhedra, the author has rederived all the 16 basic forms of phase diagrams given by Kujawa et al.     

莱河矿稳定性的热力学再分析

对包含莱河矿的三元七相多体系(FeO-Fe_2O_3-SiO_2;Q-H-M-W-L-Fa-fs)在p-T平面内进行了拓扑分析,获得一张n+4相封闭网图,并应用各相的热力学数据,从中筛选出一张最可能的直线网图。由此图知,莱河矿不是一个只在高压下稳定的相。p-T-f_(O_2)分析表明,莱河矿的生成和稳定与氧逸度关系密切,但不同压力下莱河矿生成机制不同:低压下,它由铁橄榄石氧化生成;随着压力的增高,铁辉石的贡献增大;在很高压力下,它只能由铁辉石氧化生成。     

“熵限”的概念及其应用

设多体系中全部相的摩尔体积已知,同时只有一相的摩尔熵未知,当线锥中各单变度线斜率相等时,未知熵取值定义为未知熵相对于该线锥的熵限。如未知熵取值小于熵限,线锥取顺时针转向,则当未知熵取值大于熵限时线锥即取逆时针转向,反之亦然。文中还介绍了熵限在(1)判别某些含未知熵的线锥的转向;(2)线锥中具有最大和最小PT斜率单变度线之判别等方面的应用。     

二元六相(n+4)多体系封闭网图的再研究

本文补充了二元六相多体系八点封闭网的三个表象多面体和九点封闭网的四个表象多面体,连同过去的结果,共得到29个八点封闭网图和25个九点封闭网图。     

THE STABILITY OF LAIHUNITE——A THERMODYNAMIC RE-ANALYSIS

A topological analysis on the ternary 7-phase multisystem involving laihunite (FeO-Fe_2O_3-SiO_2; Q-H-M-W-L-Fa-fs) in P-T plane has resulted in an n+4 phase closed-net-diagram. The most possible straightline-net-diagram was derived by using the thermodynamic properties of the phases concerned. From the straight-line-net-diagram it is apparent that laihunite is not a phase stable only at high pressures. P-T-fo_2, analysis suggests that the formation and stabilization of laihunite are closely related to oxygen fugacity. However, laihunite shows different ways of formation at different pressures. At low pressures, it is formed via the oxidation of fayalite; with increasing pressures the contribution of ferrosilite to the formation of laihunite increases; at very high pressures laihunite can be formed only by the oxidation of ferrosilite.     

n k(k≥4)相多体系封闭网的拼合原理的应用——一元六相(n 5)多体系全网系的建立

本文应用n k(k≥4)相多体系封闭网的拼合原理,导出了一元六相(n 5)多体系的全网系。这种多体系的特征封闭网均由八个无变度点构成。不同的拼合方式产生两种不同的拓扑结构,由此获得两种不同的表象多面体。在这两种表象多面体的基础上,导出了Kuiawa等给出的该类多体系相图的十六种不同的基本形式。