The analysis of the
electron density distribution in a molecular system based on the orthonormal natural atomic orbitals.
Natural populations,

are the occupancies of the natural atomic orbitals. These rigorously satisfy the
Pauli exclusion principle:

.
The population of an atom

is the sum of natural populations

.
A distinguished feature of the
NPA method is that it largely resolves the
basis set dependence problem encountered in the Mulliken population analysis method.
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