Mulliken Population Analysis

=== Mulliken Population Analysis ===
  Atom Symbol   Population       Charge
 ----------------------------------------
     1      H     1.000000     0.000000
     2      H     1.000000     0.000000
 ----------------------------------------
  Total            2.000000     0.000000

Fields

FieldDescription
AtomAtom index (1-based)
SymbolElement symbol
PopulationMulliken electron population on atom
ChargeNuclear charge - population

Formula

The Mulliken population for atom A is:

where the sum over μ runs over basis functions centered on atom A.

The atomic charge is:

Notes

  • Mulliken populations are basis-set dependent and can be unreliable for large/diffuse basis sets
  • Total population equals total number of electrons
  • Total charge equals molecular charge
  • For UHF, separate α and β populations are available
  • Mulliken analysis is printed by default for all calculations