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3.20

Materials at Equilibrium

5-0-10 units · Graduate

Laws of thermodynamics: general formulation and applications to mechanical, electromagnetic and electrochemical systems, solutions, and phase diagrams. Computation of phase diagrams. Statistical thermodynamics and relation between microscopic and macroscopic properties, including ensembles, gases, crystal lattices, phase transitions. Applications to phase stability and properties of mixtures. Representations of chemical equilibria. Interfaces.

Fall 2003 · Materials at Equilibrium (SMA 5111)

Topics

  • Intro / Systems / Boundaries / First Law / types of E-flows
  • Conservation / U is a function / State Variables / Exact/Inexact Differentials
  • Rumford Experiment, Heat capacity
  • Examples Adiabatic reaction, Enthalpy, Second Law
  • Second Law, Entropy
  • Combined First and Second Law, Euler Relations, Equilibrium
  • Equilibrium, S max, U min, Interpretation of TD potentials, Nat. vars, Legendre
  • Math structure / Maxwell relations / How to do derivations
  • Maxwell + derivations, Entropy formulation
  • One component Clausius-Clapeyron
  • More Examples of Clausius Clapeyron, Solution Theory
  • Solutions Part II: PMQ, Activity, Gibbs Phase Rule
  • Properties of Mixtures, Equilibrium
  • Two-phase equilibrium, Intercept rule, Lever rule, Ideal Solutions
  • Statistical Mechanics
  • Binary Phase Diagrams and Advanced Solution Theory
  • Binary Phase Diagrams and review session
  • Binary Phase Diagrams and Advanced Solution Theory (continued)
  • Thermocalc
  • Thermocalc (continued)
  • Non-Equilibrium Aspects of Phase Diagrams / Start of Entropy Lectures
  • Energy and Entropy: Microscopic Origins and models
  • Statistical Mechanics of Real Systems: MC + MD
  • Polymer Mixtures

Readings

  • Zemanksy, Mark, and Richard Dittman. Heat and Thermodynamics. 7th ed. McGraw-Hill Publishers. Good book if you have never had thermodynamics.
    Listed reading
  • Callen, Herbert B. Thermodynamics and an Introduction to Thermostatistics. Wiley. More fundamental approach to thermodynamics.
    Listed reading
  • McQuarrie, Donald A. Statistical Mechanics . Those of you that have access to the older Statistical Mechanics can also use that.
    Listed reading
  • Gaskel, D. Introduction to Metallurgical Thermodynamics. OR
    Listed reading
  • ———. Introduction to the Thermodynamics of Materials. (same book as above)
    Listed reading
  • DeHoff, R. T. Thermodynamics in Materials Science .
    Listed reading
  • Kubaschewsky, O. Materials Thermochemistry .
    Listed reading
  • Lupis, C. H. P. Chemical Thermodynamics .
    Listed reading
  • Gordon. Principles of Phase Diagrams in Materials Systems .
    Listed reading
  • Ragone, D. V. Thermodynamics of Materials. Wiley.
    Listed reading
  • Chandler, D. An Introduction to Modern Statistical Mechanics .
    Listed reading
  • Zemansky, Mark, and Richard Dittman. Heat and Thermodynamics . 7th ed. McGraw-Hill Publishers.
    Listed reading
  • McQuarrie, Donald A. Statistical Thermodynamics.
    Listed reading
  • Stokes, R. J., and D. F. Evans. Fundamentals of Interfacial Engineering . Wiley VCH.
    Listed reading
  • Hillert, M. Phase Equilibria, Phase Diagrams and Phase Transformations: Their Thermodynamic Basis.
    Listed reading
  • Gaskel, D. Introduction to Metallurgical Thermodynamics.
    Listed reading
  • ———. Introduction to the Thermodynamics of Materials.
    Listed reading
  • DeHoff, R. T. Thermodynamics in Materials Science.
    Listed reading
  • Gordon. Principles of Phase Diagrams in Material Systems .
    Listed reading
  • Callen, H. B. Thermodynamics and an Introduction to Thermostatistics .
    Listed reading
  • Swalin, R. A. Chapter 7, “A Model Approach to Alloys.” in Thermodynamics of Solids . Hoboken NJ: Wiley-Interscience, 1972.
    Listed reading

Prerequisites & course information

Prereq: ( 3.010 , 3.013 , 3.020 , 3.023 , 3.030 , 3.033 , and 3.042 ) or permission of instructor G (Fall) Not offered regularly; consult department 5-0-10 units

Sources