𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Half-projected and projected Hartree-Fock calculations for singlet ground states. II. Lithium hydride

✍ Scribed by Yves G. Smeyers; G. Delgado-Barrio


Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
536 KB
Volume
8
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

The half‐projected Hartree–Fock function (HPHF) for singlet states is defined as a linear combination of two Slater determinants which contains only spin eigenstates with even spin quantum numbers. The possible uses of such an approach for determining molecular properties are investigated computing the potential energy curve, binding energy, force constant, and dipole moment variation corresponding to the lithium hydride ground state. Full projected and restricted Hartree–Fock calculations (PHF and RHF) are performed simultaneously for comparison purposes. It is found that the HPHF model yields very satisfactory results, very close to those of the PHF scheme. Both models predict properly the molecular behavior as a function of nuclear separation, whereas the RHF one fails. A discussion is given in terms of configuration equivalents. It is concluded that the HPHF scheme seems to be useful for determining molecular properties specially in the case of large systems in which the more sophisticated methods are unmanageable.


📜 SIMILAR VOLUMES


Half-Projected and Projected Hartree-Foc
✍ Yves G. Smeyers; L. Doreste-Suarez 📂 Article 📅 1973 🏛 John Wiley and Sons 🌐 English ⚖ 552 KB

## Abstract The half‐projected Hartree‐Fock function (HPHF) for singlet states is defined as a linear combination of two Slater determinants, which contains only spin eigenfunctions with even quantum number. Using a self‐consistent procedure based on the generalized Brillouin's theorem, the RHF, HP

Multiple solutions and spatial symmetry
✍ V. Botella; O. Castaño; P. Fernández-Serra; Y.G. Smeyers 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 438 KB

Symmetry properties of different solutions for singlet and triplet states of some simple molecules are investigated in the framework of the half-projected Hartree-Fock (HPHF) method. HPHF initial-guess functions were obtained by using mixtures with, or substitutions by, virtual orbitals of restricte

Half-projected Hartree–Fock calculations
✍ Prasanta K. Mukherjee; M. Luisa Senent; Yves G. Smeyers 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB 👁 1 views

Quantum chemical calculations have been performed in half-projected Ž . Hartree᎐Fock HPHF and CIS approaches for estimating the energy levels of the lowest two excited states of hydrogen peroxide. Geometry optimization was performed for the respective states at the equilibrium configuration with an

The half-projected Hartree-Fock model fo
✍ Santiago Olivella; Jose Salvador 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 686 KB

## Abstract The possible use of a half‐projected Hartree‐Fock (HPHF) wave function correlating a single pair of electrons, being defined as a linear combination of two unrestricted Slater determinants which are identical except that all the α and β spin functions are interchanged, is investigated i