Boundary slope interrelation method for determination of tie lines in ternary isothermal sections

1993 ◽  
Vol 14 (5) ◽  
pp. 572-575
Author(s):  
N. U. Deshpande ◽  
P. Nash
Keyword(s):  
Isothermal Sections ◽  
Boundary Slope ◽  
Tie Lines

scholarly journals III. On certain ternary alloys. Part V. Determination of various critical curves, and their tie-lines and limiting points

1892 ◽  
Vol 50 (302-307) ◽  
pp. 372-395 ◽  
Keyword(s):  
Graphical Representation ◽  
Conjugate Point ◽  
Critical Curve ◽  
Ternary Mixtures ◽  
Ternary Alloys ◽  
Conjugate Points ◽  
Critical Curves ◽  
Tie Lines ◽  
Tie Line

The triangular method of graphical representation suggested by Sir G. G. Stokes, and described in Part IV (‘Roy. Soc. Proc.,’ vol. 49, p. 174), substantially amounts to the tracing out of a curve (“ critical curve”) which shall express the saturation of the solvent C with a mixture in given variable proportions of the other two constituents, A, B ; the variation being such that any given point on the curve is related to some other point (“ conjugate point ”) in a way given by the consideration that all mixtures of the three constituents, A, B, C, represented by points lying on the line (“ tie-line ”) joining these two conjugate points (“ ideal ” alloys, or mixtures), will separate into two different ternary mixtures corresponding with the two points respectively ; whereas any mixture of the same constituents, repre­sented by a point lying outside the critical curve, will form a “ real ” alloy, or mixture, not separating spontaneously into two different fluids but existing as a stable homogeneous whole.

Determination of phase relations in the Co–Cu–Ti system by the diffusion triple technique

2006 ◽  
Vol 21 (10) ◽  
pp. 2493-2503 ◽  
Author(s):  
H.S. Liu ◽  
Y.M. Wang ◽  
L.G. Zhang ◽  
Q. Chen ◽  
F. Zheng ◽  
...  
Keyword(s):  
Electron Microscopy ◽  
Electron Probe ◽  
Composition Range ◽  
Invariant Reaction ◽  
Isothermal Sections ◽  
The Third ◽  
Diffusion Triple ◽  
Binary Compounds ◽  
Scanning Electron

Two isothermal sections of the Co–Cu–Ti ternary system at 973 and 1123 K were experimentally determined using the diffusion triple technique together with scanning electron microscopy and electron probe microanalysis. The solubility of Cu (substituting Co) in CoTi increased from 22.8 at.% at 973 K to 28.1 at.% at 1123 K while that of Co (substituting Cu) in CuTi decreased from 11.1 to 8.8 at.% accordingly. In addition, the solubility limits of the third element in the binary compounds CoTi2, CuTi2, Cu4Ti3, and Cu3Ti2 were remarkable. Besides the solubility change, we found the Cu2Ti phase was stable at 1123 K but disappeared at 973 K. A ternary compound “m” with a composition range covering Co10Cu57Ti33 was detected at both isothermal sections. An invariant reaction Cu4Ti3 + CoTi ↔ CuTi + m at a temperature between 973 and 1023 K was deduced. Further investigations are necessary to confirm the reactions among Cu, Cu4Ti, Cu2Ti, Cu3Ti2, and “m” between 1023 and 1123 K.

The f.c.c.+tetragonal two-phase region of the Cu–Ni–Zn system

1983 ◽  
Vol 16 (1) ◽  
pp. 99-102 ◽  
Author(s):  
O. S. Mayall
Keyword(s):  
Tetragonal Phase ◽  
Lattice Spacing ◽  
Single Phase ◽  
Phase Region ◽  
Unit Cell ◽  
Unit Cell Parameters ◽  
Two Phase ◽  
Cell Parameters ◽  
Tie Lines

The f.c.c. + tetragonal two-phase region of the Cu–Ni–Zn system has been delineated, and unit-cell parameters along the boundaries determined. Apparently anomalous parameter measurements prevented the determination of the tie lines. A pattern of diffraction broadening from the tetragonal phase common to both the two-phase and single-phase regions was related to the variation in lattice spacing of the tetragonal phase along the boundary. Reasons for this broadening are discussed.

The Crystal Structures of U2Cu3 Al and UCUAl2, and their Relationship with Some Other Phases in the System U-Cu-Al

1980 ◽  
Vol 35 (9) ◽  
pp. 1162-1165 ◽  
Author(s):  
Ž. Blažina ◽  
Z. Ban
Keyword(s):  
Crystal Structures ◽  
Trial And Error ◽  
Isothermal Sections ◽  
X Ray ◽  
Atomic Arrangement ◽  
Tie Lines ◽  
Trial And Error Method ◽  
Probable Space ◽  
Error Method ◽  
Ternary Structure

X-ray investigations of a great number of samples along the specifically chosen tie-lines in the isothermal sections of the system U-Cu-Al (800 °C) indicated the existence of two new ordered ternary phases, i.e. U2Cu3Al and UCuAl2.The first one is hexagonal (S. G. P63/mmc, MgZn2-type), with a = 5.065 ± 0.005 Å, c = 8.307 ± 0.005 Å and c/a = 1.640. The ordered atomic arrangement of all atoms, as confirmed by trial and error method is consistent with a rather uncommon superstructure of the MgZn2-type.UCuAl2 is tetragonal, a = 3.857 ± 0.005 A, c = 8.736 ± 0.005 A, c/a = 2.265, probable space group is I4/mmm, and represents an ordered ternary structure variant of the TiAl3 type.The crystal structures of these two new phases were correlated, in terms of stacking sequences, with those which were identified in this system previously.

Phase Equilibria of the Nickel-Aluminium-Chromium System at 1150°C

2006 ◽  
Vol 522-523 ◽  
pp. 103-110 ◽  
Author(s):  
Yuri Kitajima ◽  
Shigenari Hayashi ◽  
Toshio Narita
Keyword(s):  
Phase Equilibria ◽  
Ternary Alloys ◽  
Diffusion Couples ◽  
X Ray Diffraction ◽  
Β Phase ◽  
Third Phase ◽  
Tie Lines ◽  
Cr System ◽  
And Diffusion

Phase equilibria in the Ni-Al-Cr system at 1150°C were investigated by using annealed ternary alloys and diffusion couples. The phase constitutions, microstructures, and tie-lines were determined by conventional techniques, including X-ray diffraction, scanning electron microscopy and electron probe microanalysis. The solubility limits of Cr was found to be about 9at.% in the γ’ and 17at.% in the β phase. The size of second or third phase precipitates in the alloys was found to affect the determination of the tie-lines by the micro probe analysis.

Experimental determination of tie-lines in the Hg-Cd-Te system

1995 ◽  
Vol 24 (10) ◽  
pp. 1377-1380 ◽  
Author(s):  
Hao-Chieh Liu ◽  
R. F. Brebrick
Keyword(s):  
Experimental Determination ◽  
Tie Lines
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