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Before choosing course

Course offering missing for current semester as well as for previous and coming semesters
* Retrieved from Course syllabus MH2200 (Autumn 2007–)

Content and learning outcomes

Course contents

Review of basic thermodynamic relations for unary and multicomponents systems. Models for Gibbs energy as function of pressure, temperature and phase constitution. Modelling of carbides, oxides and intermetallic phases. Coupling between atomistic models and computations. How different thermodynamic conditions may be used to represent the same equilibrium state. Different methods to calculate phase diagrams and property diagrams and how such diagrams may be presented. Calculation of the thermodynamic factor of diffusion, driving force for precipitation of new phases and chemical potentials.

Intended learning outcomes

After the course the student shall be able to:

- identify materials engineering problems that can be tackled with thermodynamic equilibrium theory and define the most suitable equilibrium conditions for each type of problem.

- use phase diagrams for multicomponent systems.

- use computer codes to compute various types of diagrams that describe the equilibrium state as a function of some state variable.

- understand the relation between atomistic and thermodynamic computations.

- present suitable models for the thermodynamic properties of various types of phases.

- discuss how to model various types of atomistic defects in materials.

Course Disposition

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Literature and preparations

Specific prerequisites

Basic course in i thermodynamics, MATLAB

Recommended prerequisites

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M. Hillert: Phase Equilibria, Phase diagrams, Phase transformations – their thermodynamic basis, Cambridge University press 1998

Printed material handed out.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F


  • INL1 - Assignments, 3,0 hp, betygsskala: P, F
  • TEN1 - Examination, 3,0 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade

Assignment (INL1; 3 cr).
Written exam (TEN1; 3 cr)

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Profile picture John Ågren

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course web

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Offered by

ITM/Materials Science and Engineering

Main field of study

Materials Science, Materials Science and Engineering

Education cycle

Second cycle

Add-on studies

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Docent Malin Selleby,