Density Functional Theory (DFT) II

5 credits

Syllabus, Master's level, 1FA585

A revised version of the syllabus is available.
Code
1FA585
Education cycle
Second cycle
Main field(s) of study and in-depth level
Physics A1F
Grading system
Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
Finalised by
The Faculty Board of Science and Technology, 21 March 2013
Responsible department
Department of Physics and Astronomy

Entry requirements

120 credits with Density functional theory I

Learning outcomes

On completion of the course, the student should be able to

  • account for how a typical DFT program is constructed.
  • account for different methods/basis-­‐sets are used to solve the Kohn-­‐Sham equations in different materials/systems.
  • determine the different convergence properties of different basis-­sets.
  • be able to implement the partitioning of space in fuzzy polyhedra and use numerical quadrature in order to calculate the matrix elements of the exchange correlation potential and the exchange correlation energy.
  • program a DFT program in matlab to be used for self consistent computation of the charge density and total energy of some simple molecules, given an atom centred basis‐set.

Content

Functionals, Numerical Quadrature, basis set superposition error, fuzzy polyheadra, self-consistency, Hartree-Fock, Perdew-Burke-Ernzerhof-funktionalen (PBE), lokala täthetsapproximation (LDA), Fockian, Density matrix, Exchange-correlation energy/functional/matrix, Lebedev quadrature.

Instruction

Lectures

Assessment

Hand in assignment in the form of a computer program.

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