Deceptive convergence in møller-plesset perturbation energies
✍ Scribed by Peter M.W. Gill; Leo Radom
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 559 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
✦ Synopsis
Msller-Plesset perturbation calculations (MPn) up to fiftieth order, within both the restricted (RHF) and unrestricted Hartree-Fock (UHF) frameworks, have been used to examine the He:+ ground-state potential curve. The bond lengths of the equilibrium and transition structures have been optimized at all orders of perturbation theory. It is found that RMPn describes the homolytic dissociation better than UMPn for all n > 2. This unexpected behaviour may be attributed to spin contamination in the UHF wavefunction. The UMPn barriers deceptively appear convergent for small n and the results may be indicative of dangers inherent generally in using the UMP approach with significantly spin-contaminated wavefunctions.
📜 SIMILAR VOLUMES
As a formulation for calculating the dynamic polarizabilities and hyperpolarizabilities, two different types of the time-dependent Møller᎐Plesset Ž . perturbation theory MPPT are presented: the MPPT in the quasienergy derivative Ž . Ž . method QED᎐MPPT and the MPPT in the energylike derivative metho
## Abstract Based on a partitioning of the total correlation energy into contributions from parallel‐ and antiparallel‐spin pairs of electrons, a modified third‐order Møller–Plesset (MP) perturbation theory is developed. The method, termed SCS–MP3 (SCS for spin‐component‐scaled) continues previous
## Abstract A new perturbation approach is proposed that enhances the low‐order, perturbative convergence by modifying the zeroth‐order Hamiltonian in a manner that enlarges any small‐energy denominators that may otherwise appear in the perturbative expansion. This intruder state avoidance (ISA) me
Single-reference closed-shell Møller᎐Plesset perturbation theory is well known for its size consistency, a quality that is essential for consistent comparisons of calculations on molecules of different size. However, it is far from obvious whether this quality can be retained in the multireference c