$1-$ a$)$ Devise a ternary phase equilibrium diagram in $2D$ with the given compounds below. Note that

your diagram should be a correct equilateral triangle with correct stochiometry of the

compounds

GROUP A: $2$ binary $(A_3{B}_2,A_2{C}_3),2$ ternary $(A_2{?}_{2}C,AB{C}_2)$ intermediate compounds $(5$P$)$

GROUP B: $2$ binary $(A{B}_3,A_{2}C),2$ ternary $(A_2{B}_{2}C,B_2{C}_2)$ intermediate compounds $(5$P$)$

b$)$ Draw Alkameyde Lines on your diagram $(3$ P$)($indicate first the liquidus crystallization surfaces

with a$,$b$,$ c etc.$).$

c$)$ Define $2$ eutectic and $2$ peritectic points existing on your diagram $(4$P$)$

d$)$ Show some cooling arrows towards the invariant points which you have defined $(2$P$)$

e$)$ Draw the binary diagrams corresponding to the sides of your ternary diagram $(6$P$)$

$($These should be drawn perpendicular to the sides of the equilateral triangle$)$

f$)$ Apply phase rule on an invariant point, on a eutectic valley and on a liquidus surface of your

diagram and comment $(5$ P$)$