Program

Electronic structure of molecules

  • Factorization of nuclear motion in the Born-Oppenheimer approximation
  • Symmetry requiremnts on fermi particles wave function. Antisimmetrization approaches.
  • Electron density and density matrices.
  • Hartree-Fock equations and their solution.
  • Basis sets: GTO and STO. Core potentials.
  • Many particle wave function correlation.
  • Configuration Interaction and othe multideterminantal methods.
  • Density functional: a practical introduction.
  • Semiempirical methods.
  • Solvent models.
  • Optional: electronic structure for periodic systems.

Nuclei configuration.

  • Potential energy surface (PES) in the Born-Oppenheimer approximation.
  • Freedom degrees, internal coordinates, z matrix, other description of nuclei configuration.
  • Critical points on PES: minimum energy structures and transition states.
  • Molecular force fields.
  • Molecular dynamics.
  • Thermodynamics Monte Carlo.

Laboratory

  • Introduction to opensource software: Orca, NWChem, Psi4, PySCF, GPaw
  • The role of guis and text editors for input format.
  • Visualization programs.
  • Exercizes about HF, DFT, CAS, dissociation energies, transition state calculations, vibrational spectra, molecular dynamics.