Table 3. Timings for Localization of Occupied and Virtual Hartree–Fock Orbitals of Circumroronenea.
| occupied |
virtual |
||||||||
|---|---|---|---|---|---|---|---|---|---|
| basis | τ | NJ | Ni | tER/Ni (s) | σ2max | Ni | tER/Ni (s) | σ2max | σ2avg |
| cc-pVDZ | 10–8 | 11870 | 37 | 7.92 | 3.4 | 96 | 51.19 | 3.7 | 2.2 |
| 10–6 | 6889 | 33 | 7.39 | 3.4 | 102 | 31.11 | 3.6 | 2.2 | |
| 10–4 | 3921 | 35 | 6.99 | 3.4 | 109 | 19.8 | 3.6 | 2.2 | |
| 10–2 | 1794 | 34 | 6.61 | 3.4 | 62 | 13.77 | 4.0 | 2.2 | |
| aug-cc-pVDZ | 10–8 | 14278 | 34 | 6.86 | 3.4 | 146 | 271.56 | 13.4 | 3.3 |
| 10–6 | 8202 | 34 | 6.08 | 3.4 | 144 | 169.35 | 11.6 | 3.2 | |
| 10–4 | 4746 | 33 | 5.83 | 3.4 | 115 | 100.27 | 11.0 | 3.3 | |
| 10–2 | 1942 | 33 | 5.60 | 3.4 | 115 | 57.12 | 14.6 | 3.3 | |
τ is the decomposition threshold for the electron repulsion integrals, NJ is the number of Cholesky vectors, Ni is the number of macroiterations in the localization procedure, tER is the time used to localize the orbitals, σ2max is the orbital spread of the least local orbital (given in atomic units), and σ2 is the mean of the orbital spreads (given in atomic units). There are 846 atomic orbitals (AOs) in the cc-pVDZ basis and the same number of molecular orbitals (MOs). There are 1404 AOs and 1352 MOs in the aug-cc-pVDZ basis (52 orbitals removed due to linear dependency).