The a1 cu c phase diagram is the third in a planned series of five ternary phase diagrams that provide infor mation to assist in the development of a carbothermic reduction process for a1. the a1 si c m and a1 fe c t21 phase diagrams were published previously. silicon, fe,. The cu c and al cu c phase diagrams were determined at 1550 °c to 2300 °c by chemical and x ray diffraction analyses of alloys saturated with carbon within sealed graphite crucibles. isothermal sections for the ternary system were determined at intervals of 150 °c over the range of temperatures investigated. the univariant points in atomic percent on the 1700 °c, 1850 °c, and 2000 °c.
The ti si n o quaternary phase diagram • entire phase diagram can be calculated by taking into account all possible combinations of reactions and products • 4 ternary diagrams of ti si n, ti n o, ti si o and si n o were evaluated • additional quaternary tie lines from tin to sio 2 and si 2n 2o a.s.bhansali, et al., j.appl.phys. 68(3. Phase diagrams • indicate phases as function of t, co, and p. • for this course: binary systems: just 2 components. independent variables: t and co (p = 1 atm is almost always used). • phase diagram for cu ni system adapted from fig. 9.3(a), callister 7e. (fig. 9.3(a) is adapted from phase diagrams of binary nickel alloys, p. nash. As in the above cu ni phase diagram, a tie line (green color) is drawn at the temperature of 1300 o c. the tie line cuts liquidus at c l point and solidus at c s. hence, for an cu alloy containing 50 wt.% ni at 1300 o c will have two phases α and l. furthermore, the α phase will have ni composition of c s wt%, and the liquid phase will have. One component phase diagram. figure 1 illustrates the temperatures and pressures at which water can exist as a solid, liquid or vapor. the curves represent the points at which two of the phases coexist in equilibrium. at the point tt vapor, liquid and solid coexist in equilibrium. in the fields of the diagram (phase fields) only one phase exists.
As in the above cu ni phase diagram, a tie line (green color) is drawn at the temperature of 1300 o c. the tie line cuts liquidus at c l point and solidus at c s. hence, for an cu alloy containing 50 wt.% ni at 1300 o c will have two phases α and l. furthermore, the α phase will have ni composition of c s wt%, and the liquid phase will have. One component phase diagram. figure 1 illustrates the temperatures and pressures at which water can exist as a solid, liquid or vapor. the curves represent the points at which two of the phases coexist in equilibrium. at the point tt vapor, liquid and solid coexist in equilibrium. in the fields of the diagram (phase fields) only one phase exists. A binary two phase system has two degrees of freedom. at a given t and p, each phase must have a fixed composition. we can calculate the liquid composition by rearranging eq. 13.2.4: xa = p − p ∗ b p ∗ a − p ∗ b the gas composition is then given by ya = pa p = xap ∗ a p = ( p − p ∗ b p ∗ a − p ∗ b)p ∗ a p. The equilibrium mixture, according to the phase diagram, would be 93 % a 7 % cual 2, and the a phase contains at most 0.1 % cu. the quenched solution thus contains 40 times more dissolved cu than required for equilibrium. there is thus a large driving force for precipitation, and nucleation starts quickly, homogeneously, and in many places.
A binary two phase system has two degrees of freedom. at a given t and p, each phase must have a fixed composition. we can calculate the liquid composition by rearranging eq. 13.2.4: xa = p − p ∗ b p ∗ a − p ∗ b the gas composition is then given by ya = pa p = xap ∗ a p = ( p − p ∗ b p ∗ a − p ∗ b)p ∗ a p. The equilibrium mixture, according to the phase diagram, would be 93 % a 7 % cual 2, and the a phase contains at most 0.1 % cu. the quenched solution thus contains 40 times more dissolved cu than required for equilibrium. there is thus a large driving force for precipitation, and nucleation starts quickly, homogeneously, and in many places.
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