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Introduction to Two and Three Component Phase Diagrams

October 3, 2015 | 9:00 a.m. – 5:00 p.m.

Location: In conjunction with Materials Science & Technology 2015 (MS&T15), Hilton Columbus Downtown, Columbus, Ohio
Instructor: Jeffrey D. Smith, Missouri Institute of Science & Technology


 Click on your member type in the below table to register online.


On or Before

September 3, 2015


September 3, 2015

Member $625 $775
Nonmember $695 $845
Student $375 $450


Course Description  

This one-day course will provide attendees an introduction to phase diagrams of two and three components. A basic understanding of chemistry will be assumed. Topics covered will begin with the underpinnings of a two component phase diagram and end with complex crystallization in ternary systems. Along the way topics such as Gibb’s Phase Rule, binary and ternary reactions invariant points, non-stochiometry and metastability will be introduced. Two and three component diagrams of real systems will be used to explain the concepts in this course.

  • The Phase Diagram of Two Components
     –  Terminology, Gibb’s phase rule, congruent vs. incongruent, binary lever rule
  • Phase Changes and Reactions
     –  Transformations, invariant changes and thermal arrest, reactions
  • Limited Solid Solutions and Non-equilibrium Cooling
     –  Non-stoichiometry, metastable phases
  • The Phase Diagram of Three Components
     –  Terminology, ternary lever rule, binary and unary equilibrium
  • Alkemade
     –  Onset of liquid formation, equilibrium reactions
  • Crystallization
     –  Liquid path vs. crystal path, determination of phases (chemistry, amount, etc.)
  • Complex Crystallization
     –  Resorption, multiple invariant reactions

Professor Jeff Smith (Missouri S&T) demonstrates how to set up a point on a ternary phase diagram for before applying the Lever Rule.


Instructor Biography  

Jeffrey D. Smith, Missouri University of Science & Technology



Associate Professor, Department of Ceramic Engineering
    University of Missouri-Rolla, Rolla, MO, 2002 – present



Research Associate Professor, Department of Ceramic Engineering
    University of Missouri-Rolla, Rolla, MO, 2001 – 2002


Research Assistant Professor, Department of Ceramic Engineering
    University of Missouri-Rolla, Rolla, MO, 1993 – 2001


Ph.D., Ceramic Engineering, University of Missouri-Rolla, Rolla, MO, 1993.
     –  Dissertation Title: “Reaction Chemistry and Thermochemistry of Magnesia-Graphite
                Systems Containing Antioxidants”


M.S., Ceramic Engineering, University of Missouri-Rolla, Rolla, MO, 1991.
     –  Thesis Title: “Reactions Between Magnesia-Graphite-Metal Components of BOF
                Type Refractories”


B.S., Ceramic Engineering, Iowa State University, Ames, IA, 1987.

Cancellation Policy

ACerS reserves the right to cancel a course up to 4 weeks before the scheduled presentation date. Please contact ACerS customer service at 1-866-721-3322 or 1-240-646-7054 to confirm that the course is happening before purchasing your airline tickets. ACerS is not responsible for the purchase of non-refundable airline tickets or the cancellation/change fees associated with canceling a flight.



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