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FMH3104 Alloy Theory 7.5 credits

The course deals with the thermodynamic basis of phase equilibria and phase transformations in materials science. The fundamental laws of thermodynamics and general conditions for equilibrium and stability will be discussed. The mathematical modelling of various phases and their thermodynamic behaviour and some related phenomena will be discussed

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Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.


For course offering

Autumn 2023 Start 28 Aug 2023 programme students

Application code


Headings with content from the Course syllabus FMH3104 (Autumn 2020–) are denoted with an asterisk ( )

Content and learning outcomes

Course disposition

Lectures with discussion of homework.

Course contents

The thermodynamic laws and general conditions for equilibrium and stability. Mathematical modelling of different phases such as solid phase and melt for multicomponent systems. Driving force, order transformations, Gibbs energy diagram, phase diagram.

Intended learning outcomes

After completing the course, the student should be able to:

  • apply the laws of thermodynamics
  • explain general conditions for equilibrium and stability
  • develop mathematical models to describe the thermodynamics of different phases: solid, liquid and gas phase from unary to multicomponent systems
  • apply mathematical models for phase equilibria and phase transformations including order/disorder and magnetic transformations
  • apply molar Gibbs energy diagrams and connect them to phase diagrams and driving forces
  • apply phase diagrams and property diagrams from unary to multicomponent systems.

Literature and preparations

Specific prerequisites

Admitted to doctoral studies, with knowledge in material thermodynamics and materials theory.

Recommended prerequisites

No information inserted


No information inserted


M. Hillert: Phase Equilibria, Phase Diagrams and Phase Transformations, their Thermodynamic Basis, Cambridge University Press 2008. ISBN 978-0-521-85351-4

Examination and completion

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

Grading scale

P, F


  • INL1 - Assignment, 7.5 credits, grading scale: P, 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.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted


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 room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted

Supplementary information

The course FMH3104 replaces the course F4H5104 Alloy Theory I, from autumn 2020.

Postgraduate course

Postgraduate courses at ITM/Materials Science and Engineering