Published November 15, 2015 | Version v1
Journal article

Spin contamination and noncollinearity in general complex Hartree-Fock wave functions

Description

An expression for the square of the spin operator expectation value, < S^2>, is obtained for a general complex Hartree-Fock (GCHF) wave function and decomposed into four contributions: The main one whose expression is formally identical to the restricted (open-shell) Hartree-Fock expression. A spin contamination one formally analogous to that found for spin unrestricted Hartree-Fock wave functions. A noncollinearity contribution related to the fact that the wave function is not an eigenfunction of the spin-S_z operator. A perpendicularity contribution related to the fact that the spin density is not constrained to be zero in the xy-plane. All these contributions are evaluated and compared for the H_2O^+ system. The optimization of the collinearity axis is also considered.

Abstract

12 pages

Abstract

International audience

Additional details

Identifiers

URL
https://hal.univ-cotedazur.fr/hal-00790674
URN
urn:oai:HAL:hal-00790674v5