ATM-012 · Atoms and molecules Sample material

Many-electron atoms. The Pauli principle

The general principle of describing many-electron atoms: the central-field approximation, electron configurations, LS coupling and terms; identical particles, bosons and fermions, the Pauli principle.

Estimated time: 3 h 4 activities

Learning objective

Explain the complexity of the many-electron atom problem and the self-consistent field approximation.
Understand the principle of indistinguishability of identical particles and the symmetry of the wave function.
Learn to distinguish bosons and fermions and to state and apply the Pauli principle.
Learn to determine terms in LS coupling and to use Hund's rules.

Expected outcomes

Can calculate the maximum number of electrons in a shell and a subshell (2n², 2(2l+1)).
Writes the electron configuration and determines the ground term by Hund's rules.
Classifies particles by spin as bosons or fermions and explains how the statistics depends on it.
Using the helium atom, can estimate the mutual repulsion of electrons and the exchange energy.

Interactive modelFilling of electron shells

Activities

Lecture
Lecture · 1 h 20 min · required
Solving problems on “Many-electron atoms. The Pauli principle”
Practice · 1 h 20 min · required
Bosons and fermions. The Pauli principle
Self-study · 6 h 10 min · optional
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Solving problems on “Many-electron atoms. The Pauli principle”
  • Final test — at least 70%