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1、Ternary intensive system：f cp14pWhen p=1：fmax3(That is,the composition x1,x2 and temperature)Ternary System Phase DiagramThree-dimensional perspectivePlane projectionPhase DiagramsApplication:(1).Calculate the components of a point;(2).Determine the position of a point.Equilateral Triangle9090908080
2、80707070606060505050404040303030202020101010cEMDaABCaCABMbcaI.Compositions Representation MethodConcentration triangleDouble line methodEqual content principle1.Equal Content PrincipleIn an equilateral triangle,all points on a straight line parallel to an edge contain equal components of correspondi
3、ng vertices.Some Principles in the CompositionLine CD emanates from corner C,then it holdsthat at this line phase compositions occur with aconstant ratio of the amounts of A and B,while theamounts of C will decrease when the point movesaway from the corner C.Backward Principle：Crystal C crystalizes
4、from phase M,then thecomposition of the remaining material in phase M isalso constantly changing,but the ratio of the amountsof A and B is unchanged.The way of the compositionchanges of the remaining material is from corner C topoint M on line CM,the direction of change is back tothe corner,away fro
5、m corner C.2.Fixed Ratio PrincipleFixed Ratio PrincipleBackward Principle3.Lever RuleIn a ternary system,when a phasedecomposesintotwo,phasePdecomposes into M and N,or M and Ncombine into P,the three points M、Pand N are in a straight line.Thedistancesbetweenthenewphasepointsandtheoriginalpointisinve
6、rsely proportional to the contentof two phases.Deduction：GPGMGNGPx%GMa1%+GNa2%Proof of lever ruleGM:GNNP:MPThere are three phases M1,M2and M3to synthesize specimen M,the point of specimen M is inside the M1M2M3,and the position of point M is called the position of gravity.According to lever rule：M1M
7、2PPM3 MM1 M2M3 MM1M2M3M.PA BC4.Center of Gravity Principle(1）Gravity Position(2）Cross PositionIf point M is outside one edgeof M1M2M3,and within theextension lines of the other twoedges,it is necessary to take acertainamountofM3fromM1+M2to get M,which is calledthe principle of cross position.Accordi
8、ng to lever rule：M1M2PM+M3PM1M2MM3M1M2M3MPA BC（3）Conjugate PositionThe composition point M isoutside one corner of the triangle,M1M2，which requires a certainamount of phased M1+M2fromphase M3to get a new phase M,this principle is called the principleof conjugate position.According to lever rule：M1M2MM3 M M3(M1M2)M1M2M3MA BC.The center of gravity principle is very useful to dealwith the problem of four-phase equilibrium,and we canuse it to analyze the invariant points in the phasediagram.Gravity PositionCross PositionConjugate Position