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n+m(m≥3)相多体系可能实在网的拓扑结构

本文对作者提出的推导二元n+3相多体系全部可能实在网的方法和结果作进一步归纳,强调了这些网的构型与各稳定级别点的标记或作为标记的相,在化学成分图解上的位置之间确定的对应关系。在此基础上给出了构筑和检查二元n+m(m>3)相多体系可能网的一般原理:任何该类网应是一个或一个以上不同二元n+3相多体系网的合理拚接,其上分别缺失相同m—3相的点数均为n+3。因此,二元n+3相多体系网是二元n+m(m>3)相多体系网的基本构筑单元,作为例子,具体构筑了二元n+4相多体系具有最多稳定点的最大部分封闭网,确认这类网只有一张。     

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.     

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。     

TOPOLOGICAL CONFIGURATIONS OF POSSIBLE REAL NETS IN BINARY n+m(m≥3) PHASE MULTISYSTEMS

This paper further summarizes the method and results developed to find all possible real nets in binary n+3 phase multisystems, and emphasizes that there is a definite relationship between configurations and symbols of stable and metastable invariant points of nets or positions of phases as symbols on the chemographic bar. On the basis of these, a general principle is developed to construct and check possible neets in binary n+m (m>3) phase multisysterns: this sort of nets must be the reasonable combination of one or more than one distinct binary n+3 phase multisystem subnets, in which the number of points missing respectively same m—3 phases in n+3. Therefore, the binary n-4-3 phase nets are basic construction units of the binary n+m(m>3) phase nets. As an instance, the maximum partially closed net in binary n+4 phase multisystems, which has the most stable invariant points, is constructed, and it is indicated that this sort of net is unique.     

EIGHT-POINT STRAIGHT-LINE-NET-DIAGRAMS OF BINARY SIX-PHASE (n+4) MULTISYSTEMS (Ⅰ)——DERIVATION FROM NINE-POINT CLOSED-NET-DIAGRAMS

The 9-point closed-net-diagrams of binary 6-phase multisystems contain 2 basic types ofnon-straight-line portions. Only the removal of an invariant point which is shared by all thenon-straight-line portions in a 9-point closed-net-diagram can generate an 8-point straight-line-net-diagram. All together 67 distinct 8-point straight-line-net-diagrams have been derived forbinary 6-phase multisystems. They correspondingly belong to 31 distinct 8-point straight-line-nets (namely, 31 distinct 8-point sets), showing that the previous conclusion that there existsonly one 8-point straight-line-net-diagram for binary 6-phase multisystems is incorrect.     

CONSTRUCTION OF EQUILIBRIUM P-T BUNDLES OF COMBINATION OF n+2 PHASES ON PETROGENETIC GRIDS

This paper first discusses the algorithm for balancing reactions of the combination of n + 2 phases around an invariant point on a P-Tdiagram, and then emphatically develops a new algorithm for the arrangement of univariant reaction lines, using a signum matrix V·F or S·F, where V and S are diagonal matrixes of signum of △V and △S in n+2 univariant reactions respectively, and F is a signum matrix of stoichiometric coefficients of phases in reactions. Using this new algorithm greatly simplifies relative computer programs, brings out the automatic construction of equilibrium P-T curves of combination of n +2 phases, and further makes it possible to construct a whole petrogenetic grid automatically     

二元六相(n+4)多体系的八点直线网图——Ⅰ.由九点封闭网图推导

二元六相多体系的九点封闭网图包含了两种基本类型的非直线部分。只有除去某九点封闭网图所包含的全部非直线部分所共享的一个无变度点,才可能获得1张八点直线网图。总共导出了二元六相多体系的67张不同的八点直线网图。它们分属31个不同的八点直线网(即31个不同的八点集合)。由此,证明了过去关于二元六相多体系仅有1张八点直线网图的结论是错误的。