14MHFR - Phase Equilibria of Multicomponent Systems

Course specification
Course titlePhase Equilibria of Multicomponent Systems
Study programme
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ConditionОблик условљености
    The goalTo provide students a solid background in applying the basic differential equations for the description of processes in heterogeneous, multicomponent systems. To use graphical analysis in phase diagrams of multicomponent systems in order to conduct the technological procedures. To gain knowledge of principles of phase equilibria and using the phase diagrams of two- and three-component systems in solving practical problems.
    The outcomeStudents gain knowledge about phase transformations and phase equilibria that do appear in many processes of Inorganic Chemical Technology and Materials Engineering. In the scope of inspection and examination of binary and ternary phase diagrams with numerous examples the students are qualified to use the concrete phase diagrams concerning the Chemical and Materials Engineering. Under the independent assignment, students discuss and estimate the conditions of phase equilibria in multi-component systems.
    Contents of lecturesgeneral conditions of equilibrium of heterogeneous systems ; necessary conditions of stability ; phase equilibrium at vapour–liquid interface ; phase equilibria liquid–solid in two component and three–component systems with examples (binary solutions with unlimited solubility, binary eutectic systems-limited solid solubility, solid state reactions-eutectoid, peritectoid reactions, binary systems with intermediate phases/compounds) ; metastable phase diagrams with examples (miscibility gaps, phase separation) ;
    Contents of exercises
    1. M. Hillert, „Phase Equilibrium, Phase Diagrams and Phase Transformations“ , 2nd Ed. Cambridge University Press, 2008.
    2. “Phase Diagrams, Materials Science and Technology” Vol. I , Ed. A. M. Alper, Academic Press Inc. New York and London, 1970.
    3. W. D. Callister Jr. „Materials Science and Engineering, An Introduction“, John Wiley and Sons, 2003.
    4. C.H.P. Lupis, Chemical Thermodynamics of Materials, North Holland, 1989.
    5. Lecture Notes
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    Methods of teachingLectures with practical examples and practical assignment
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lectures10Test paper
    Practical lessonsOral examination40