Fiches de cours 2016-2017

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Statistical thermodynamics

CH-242(a)

Enseignant(s) :

Hagfeldt Ulf Anders

Langue:

English

Summary

This course enables the acquisition of basic concepts in statistical thermodynamics including the Boltzmann distribution law, partition functions, ensembles, calculations of thermodynamic properties, Bose-Einstein and Fermi-Dirac statistics, metals, semiconductors, p-n junctions and photovoltaics.

Content

1. The Boltzmann distribution law

Derivation, Approximation

 

2. Partition function

The translational, rotational, vibrational and electronic partition functions

 

3. Thermodynamic functions from statistical thermodynamics

U, CV, heat and work, Entropy, Helmholtz' and Gibbs' free energies, Chemical potential

 

4. Ensembles

The canonical ensemble, the canonical partition function, the equilibrium constant

 

5. Non-ideal gas

Virial coefficients, Intermolecular forces

 

6. Quantum statistics

Bose-Einstein statistics, Fermi-Dirac statistics, the grand canonical partition function

 

7. The solid state

Specific heat of crystals, Electronic energy levels and density of states in metals, Fermi level

 

8. Photon gas and blackbody radiation

Brief introduction

9. Semiconductors

Energy levels, density of states, intrinsic semiconductors, n- and p-doping

 

10. p-n junctions

Equilibrium. applied bias, diode equation, photovoltaics

 

 

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

Lectures with hand outs. Exercises.

Assessment methods

Written exam

Resources

Bibliography

Handouts of Lecture Notes

 

Recommended book:  

Benjamin Widom, Statistical Mechanics: A Concise Introduction for Chemists, Cambridge University Press - 2002, ISBN-13: 978-0521009669

 

Reference book (deeper in the theories and extra materials):

Donald A. McQuarrie, Statistical Mechanics, University Science Books - 2000, ISBN - 1-891389-15-7.

 

For introduction and as a reference for classical thermodynamics

Pierre Infelta & Michael Grätzel, Thermodynamique: Principles et Applications. BrownWalker Press - 2006. ISBN - 1-58112-995-5.

 

Ressources en bibliothèque

Dans les plans d'études

    • Semestre
       Automne
    • Forme de l'examen
       Ecrit
    • Crédits
      3
    • Matière examinée
      Statistical thermodynamics
    • Cours
      2 Heure(s) hebdo x 14 semaines
    • Exercices
      1 Heure(s) hebdo x 14 semaines
    • Semestre
       Automne
    • Forme de l'examen
       Ecrit
    • Crédits
      3
    • Matière examinée
      Statistical thermodynamics
    • Cours
      2 Heure(s) hebdo x 14 semaines
    • Exercices
      1 Heure(s) hebdo x 14 semaines
  • Passerelle HES - CGC, 2016-2017, Semestre automne
    • Semestre
       Automne
    • Forme de l'examen
       Ecrit
    • Crédits
      3
    • Matière examinée
      Statistical thermodynamics
    • Cours
      2 Heure(s) hebdo x 14 semaines
    • Exercices
      1 Heure(s) hebdo x 14 semaines

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand