Fiches de cours

Statistical thermodynamics

CH-242(b)

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. Quantum statistics

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

6. Applying partition functions and ensembles

Heat capacity of solids, Computational chemical methods

7. The solid state

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

8. Semiconductors

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

9. p-n junctions

Equilibrium. applied bias, diode equation, photovoltaics

Keywords

Boltzmann distribution

Partition function

Ensembles

Quantum statistics

Semiconductors

p-n junction

Learning Prerequisites

Important concepts to start the course

Laws of thermodynamics

Equations for quantum energy levels of particle-in-a-box, rotation and vibtration.

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

Supervision

Office hours No
Assistants Yes
Forum No

Resources

Virtual desktop infrastructure (VDI)

No

Bibliography

Handouts of Lecture Notes and exercises

Reference books:

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

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

  • Chimie et génie chimique, 2019-2020, Bachelor semestre 4
    • Semestre
      Printemps
    • 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, 2019-2020, Semestre printemps
    • Semestre
      Printemps
    • 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