Phase Equilibria (MAT 308)

2022 Spring
Faculty of Engineering and Natural Sciences
Materials Sci.& Nano Eng.(MAT)
6/5 ECTS (for students admitted in the 2013-14 Academic Year or following years)
Mehmet Ali Gülgün,
Click here to view.
Formal lecture,Interactive lecture,On-line task/distance,Recitation
Interactive,Learner centered,Communicative,Discussion based learning,Case Study
Click here to view.


Thermodynamic foundations of phase equilibrium in component gaseous, liquid and solid systems will be established. Techniques for determining phase equilibrium diagrams will be introduced. Then the course treats two component systems and their phase diagrams started with the iron carbon phase system. The last portion of the course is devoted to tertiary and more component systems.


The aim of the course is to provide a sound foundation in the basic facts and concepts of phase equilibria for materials engineers.


  • Define the importance of phase diagrams in materials science and engineering
  • Explain the main definitions and terms of phase diagram
  • Interpret in which conditions materials are stable in the unary systems by using pressure and temperature diagram.
  • Compose binary systems by using unary systems
  • Solve problems in binary systems by using composition and temperature diagram.
  • Compose ternary systems by using binary systems.
  • Solve problems in ternary systems by using composition diagram and temperature diagram


1. Understand the world, their country, their society, as well as themselves and have awareness of ethical problems, social rights, values and responsibility to the self and to others. 2

2. Understand different disciplines from natural and social sciences to mathematics and art, and develop interdisciplinary approaches in thinking and practice. 3

3. Think critically, follow innovations and developments in science and technology, demonstrate personal and organizational entrepreneurship and engage in life-long learning in various subjects; have the ability to continue to educate him/herself. 4

4. Communicate effectively in Turkish and English by oral, written, graphical and technological means. 4

5. Take individual and team responsibility, function effectively and respectively as an individual and a member or a leader of a team; and have the skills to work effectively in multi-disciplinary teams. 3

1. Possess sufficient knowledge of mathematics, science and program-specific engineering topics; use theoretical and applied knowledge of these areas in complex engineering problems. 2

2. Identify, define, formulate and solve complex engineering problems; choose and apply suitable analysis and modeling methods for this purpose. 4

3. Develop, choose and use modern techniques and tools that are needed for analysis and solution of complex problems faced in engineering applications; possess knowledge of standards used in engineering applications; use information technologies effectively. 4

4. Have the ability to design a complex system, process, instrument or a product under realistic constraints and conditions, with the goal of fulfilling specified needs; apply modern design techniques for this purpose. 5

5. Design and conduct experiments, collect data, analyze and interpret the results to investigate complex engineering problems or program-specific research areas. 2

6. Possess knowledge of business practices such as project management, risk management and change management; awareness on innovation; knowledge of sustainable development. 1

7. Possess knowledge of impact of engineering solutions in a global, economic, environmental, health and societal context; knowledge of contemporary issues; awareness on legal outcomes of engineering solutions; knowledge of behavior according to ethical principles, understanding of professional and ethical responsibility. 1

8. Have the ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. 5

1. Use mathematics (including derivative and integral calculations, probability and statistics, differential equations, linear algebra, complex variables and discrete mathematics), basic sciences, computer and programming, and electronics engineering knowledge to (a) Design and analyze complex electronic circuits, instruments, software and electronics systems with hardware/software or (b) Design and analyze communication networks and systems, signal processing algorithms or software 1

1. Applying fundamental and advanced knowledge of natural sciences as well as engineering principles to develop and design new materials and establish the relation between internal structure and physical properties using experimental, computational and theoretical tools. 5

2. Merging the existing knowledge on physical properties, design limits and fabrication methods in materials selection for a particular application or to resolve material performance related problems. 5

3. Predicting and understanding the behavior of a material under use in a specific environment knowing the internal structure or vice versa. 5


  Percentage (%)
Final 40
Midterm 30
Group Project 30



Bergeron C.G. & Risbud S. H. (1984). Introduction to Phase Equilibria in Ceramics, The American Ceramic Society, Inc.