Advanced Quantum Chemistry (KemiVK)

Course content

General angular momentum theory.
Time-independent perturbation theory and variation theory.
Born-Oppenheimer approximation and molecular potential energy surfaces.
General operator properties and the antisymmetrizer of the permutation group.  
Many-electron theory (Slater determinants and Slater-Condon rules).
Hartree-Fock-Roothaan theory for self consistent treatment of molecular electronic states.
Methods for describing electron correlation: Configuration Interaction (CI), Møller-Plesset perturbation Theory (MP2), Coupled Cluster (CC) and Density Functional Theory (DFT).
Molecular interaction with external electric fields by means of perturbation theory.


BSc Programme in Chemistry
BSc Programme in Nanoscience

Learning outcome

The overall goal of the course is to make students able to understand and handle the quantum chemical  description of many-electron systems like atoms and molecules. In completing the course the student is expected to have acquired

After the course the student should be able to:

  • Explain and use fundamental quantum chemical conceps like probability densities, commutator relations.
  • Derive the eigenvalue spectrum for general angular momentum operators and apply the result in connection with the description of atoms and molecules.
  • Explain the variation principle and to derive the linear variation method and the time-independent perturbation theory.
  • Formulate the Pauli principle for many-electron sytstems.
  • Discuss determinantal electronic wavefunctions.
  • Derive and use the so-called Slater-Condon rules for the evaluation of expectation values over many-electron operators.
  • Derive the Hartree-Fock equations and explain the Brillouin's and Koopmans' theorems.
  • Explain Roothaan's equations and their use in electronic structure calculations.
  • Discuss the contents of Density Functional Theory and correlated methods like Configuration Interaction, Møller-Plesset Perturbation Theory and Coupled Cluster.
  • Apply perturbation theory in the calculation of electric polarizabilities of atoms and molecules.

- Explain the quantum chemical description of many-electron atoms and molecules. 
- Explain the theory underlying the most frequently employed methods used in computational chemistry.   

- Derive and use fundamental equations used in the description of the electronic structure of many-electron atoms and molecules.  

- Understand the theoretical description of the electronic structure of many-electron atoms and molecules.

Class instructions or lectures and theoretical exercises during 7 weeks

Will be announces in Absalon

It is expected that the students are familiar with the contents of the obligatory courses in first year of the bachelorprogram in Chemistry or Nanoscience. Furthermore it is expected that the students have qualifications within the field of basic quantum mechanics or quantum chemistry.

Feedback by final exam (In addition to the grade)
7,5 ECTS
Type of assessment
Oral examination, 30 min
Type of assessment details
no preparation
Without aids
Marking scale
7-point grading scale
Censorship form
No external censorship
several internal examiners

Same as the regular exam.

Criteria for exam assessment

See "Learning Outcome"

Single subject courses (day)

  • Category
  • Hours
  • Class Instruction
  • 42
  • Preparation
  • 142,5
  • Theory exercises
  • 21
  • Exam
  • 0,5
  • English
  • 206,0


Course number
7,5 ECTS
Programme level

1 block

Block 4
No limit
The number of seats may be reduced in the late registration period
Study Board of Physics, Chemistry and Nanoscience
Contracting department
  • Department of Chemistry
Contracting faculty
  • Faculty of Science
Course Coordinator
  • Kurt Valentin Mikkelsen   (3-6d6f6b42656a676f306d7730666d)

Kurt V. Mikkelsen
Stephan P. A. Sauer

Saved on the 28-02-2023

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Courseinformation of students