Several methods of constructing the
active orbital space for multiconfigurational
wave functions are compared on typical moderately strongly or strongly
correlated ground-state molecules. The relative merits of these methods
and problems inherent in multiconfigurational calculations are discussed.
Strong correlation in the ground electronic state is found typically
in larger conjugated and in antiaromatic systems, transition states
which involve bond breaking or formation, and transition metal complexes.
Our examples include polyenes, polyacenes, the reactant, product and
transition state of the Bergman cyclization, and two transition metal
complexes: Hieber’s anion [(CO)3FeNO]− and ferrocene. For the systems investigated, the simplest and oldest
selection method, based on the fractional occupancy of unrestricted
Hartree–Fock natural orbitals (the UNO criterion), yields the
same active space as much more expensive approximate full CI methods.
A disadvantage of this method used to be the difficulty of finding
broken spin symmetry UHF solutions. However, our analytical method,
accurate to fourth order in the orbital rotation angles (J. Chem. Phys.2016145164102), has solved this problem. Two further advantages of the UNO criterion
are that, unlike most other methods, it measures not only the energetic
proximity to the Fermi level but also the magnitude of the exchange
interaction with strongly occupied orbitals and therefore allows the
estimation of the correlation strength for orbital selection in Restricted
Active Space methods.