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University of Colorado Boulder - Dense Gases, Liquids and Solids 

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Dense Gases, Liquids and Solids
 at 
Coursera 
Overview

Duration

5 hours

Total fee

Free

Mode of learning

Online

Difficulty level

Advanced

Official Website

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Credential

Certificate

Dense Gases, Liquids and Solids
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Dense Gases, Liquids and Solids
 at 
Coursera 
Highlights

  • Earn a certificate from the University of Colorado Boulder upon completion of course.
  • Earn a shareable certificate upon completion.
  • Flexible deadlines according to your schedule.
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Dense Gases, Liquids and Solids
 at 
Coursera 
Course details

Skills you will learn
More about this course
  • Course 4 of Statistical Thermodynamics addresses dense gases, liquids, and solids. As the density of a gas is increased, intermolecular forces begin to affect behavior. For small departures from ideal gas behavior, known as the dense gas limit, one can estimate the change in properties using the concept of a configuration integral, a modification to the partition function. This leads to the development of equations of state that are expansions in density from the ideal gas limit. Inter molecular potential energy functions are introduced and it is explored how they impact P-V-T behavior. As the density is increased, there is a transition to the liquid state. We explore whether this transition is smooth or abrupt by examining the stability of a thermodynamic system to small perturbations. We then present a brief discussion regarding the determination of the thermodynamic properties of liquids using concept of the radial distribution function (RDF), and how the function relates to thermodynamic properties. Finally, we explore two simple models of crystalline solids.
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Dense Gases, Liquids and Solids
 at 
Coursera 
Curriculum

The Configuration Integral

Dense Gases: The Configuration Integral and The Fundamental Relation

Property Relations including the Virial Equation of State

Potential Energy Functions

Empirical Equations of States

Dense Gases The Configuration Integral and The Fundamental Relation

Property Relations including the Virial Equation of State

Potential Energy Functions

Empirical Equations of State

Thermodynamic Stability

The Basics of Thermodynamic Stability

First Order Phase Transitions and Finding the Vapor Dome

Gibb's Phase Rule

The Basics of Thermodynamic Stability

First Order Phase Transitions and Finding the Vapor Dome

Gibb's Phase Rule

Problem 11.1

The radial distribution function, thermodynamic properties, and MD simulations of liquid properties

Liquids: Cells, The Radial Distribution Function and Thermodynamic Properties

Molecular Dynamics

Determining g(r) from Molecular Dynamics

Liquids: Cells, The Radial Distribution Function and Thermodynamic Properties

Molecular Dynamics

Determining g(r) from Molecular Dynamics

Crystalline Solids

Solids: The Einstein Crystal

The Debye Crystal

Solids and the Einstein Crystal

The Debye Crystal

Problem 10.2

Problem 10.1

Problem 10.4

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Dense Gases, Liquids and Solids
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