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3.020 Thermodynamics of Materials

3.020 Thermodynamics of Materials (Spring 2021, MIT OCW). Instructor: Prof. Rafael Jaramillo. This course introduces the competition between energetics and disorder that underpins materials thermodynamics. Classical thermodynamic concepts are presented in the context of phase equilibria including phase transformations, phase diagrams, and chemical reactions. The course also covers computerized thermodynamics and provides an introduction to statistical thermodynamics. (from ocw.mit.edu)

Lecture 29 - Boltzmann Distribution

This lecture covers the Boltzmann distribution as equilibrium condition, microcanonical and canonical ensembles, and partition functions.

Go to the Course Home or watch other lectures:

Lecture 01 - Introduction to Thermodynamics

Lecture 02 - Scope and Use of Thermodynamics

Lecture 03 - Process Variables and the First Law

Lecture 04 - Heat Engines and Energy Conversion Efficiency

Lecture 05 - Second Law and Entropy Maximization

Lecture 06 - Thermodynamic Potentials

Lecture 07 - Ideal Gas Processes

Lecture 08 - Mathematical Implications of Equilibrium and Spontaneous Processes

Lecture 09 - Case Studies - Specific Heats and Phase Transformations

Lecture 10 - Introduction to Unary Phase Transformations

Lecture 11 - Phase Coexistence in Unitary Systems

Lecture 12 - Case Studies - Saturation Vapor Pressure

Lecture 13 - Introduction to Ideal (Gas) Mixtures

Lecture 14 - Reacting Gas Mixtures at Equilibrium

Lecture 15 - Introduction to Solutions, General Case

Lecture 16 - Partial Molar Properties

Lecture 17 - Solution Models - Ideal, Dilute, and Regular

Lecture 18 - Case Study in Reacting Gas Mixtures - Introducing the Nernst Equation

Lecture 19 - Regular Solution Models and Stability

Lecture 20 - Introduction to Binary Phase Diagrams

Lecture 21 - Phase Coexistence and Separation

Lecture 22 - Free-Energy Composition Diagrams, General Case

Lecture 23 - Building Binary Phase Diagrams, Part I

Lecture 24 - Building Binary Phase Diagrams, Part II

Lecture 25 - Building Binary Phase Diagrams, Part III

Lecture 26 - CALPHAD - Case Studies and Guest Lecture

Lecture 27 - Introduction to Statistical Thermodynamics

Lecture 28 - Boltzmann Hypothesis

Lecture 29 - Boltzmann Distribution

Lecture 30 - Intermediate Phases and Reactions

Lecture 31 - Reacting Multi-phase Systems

Lecture 32 - Case Study - Reacting, Multi-component, Multi-phase Systems