𝔖 Bobbio Scriptorium
✦   LIBER   ✦

High-precision calculation of Hartree-Fock energy of crystals

✍ Scribed by M. J. Gillan; D. Alfè; S. de Gironcoli; F. R. Manby


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
114 KB
Volume
29
Category
Article
ISSN
0192-8651

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

When using quantum chemistry techniques to calculate the energetics of bulk crystals, there is a need to calculate the Hartree‐Fock (HF) energy of the crystal at the basis‐set limit. We describe a strategy for achieving this, which exploits the fact that the HF energy of crystals can now be calculated using pseudopotentials and plane‐wave basis sets, an approach that permits basis‐set convergence to arbitrary precision. The errors due to the use of pseudopotentials are then computed from the difference of all‐electron and pseudopotential total energies of atomic clusters, extrapolated to the bulk‐crystal limit. The strategy is tested for the case of the LiH crystal, and it is shown that the HF cohesive energy can be converged with respect to all technical parameters to a precision approaching 0.1 m__E__~h~ per atom. This cohesive energy and the resulting HF value of the equilibrium lattice parameter are compared with literature values obtained using Gaussian basis sets. © 2008 Wiley Periodicals, Inc. J Comput Chem, 2008


📜 SIMILAR VOLUMES


Perturbative calculation of the Hartree–
✍ Vladimír Lukeš; Viliam Laurinc; Stanislav Biskupič 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 115 KB 👁 2 views

A many-body perturbation theory based on the partitioning of the dimer Hamiltonian, formulated in an orthogonalized basis set, is used for the calculation of Ž . Ž . interaction energies at the Hartree᎐Fock HF level. Numerical results for the HF and 2 Ž . H O systems in selected geometries are prese

Accelerating the convergence of matrix H
✍ N.W. Winter; T.H. Dunning Jr. 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 332 KB

An extrapolation method based on the ek-transformation 1s applied to matrix Hartree-Fock calculations on the water and formaldehyde molecules. For water the two-electron energy is presented at each iteration for calculations with and without extrapolation. Results are also given to demonstrate the e

Density functional LCAO calculation of p
✍ M. Causà; A. Zupan 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 795 KB

Numerous density functional theory formulas proposed in the literature are used to compute the total electronic energy of solids, integrating a posteriori functionals of electronic density, obtained with the periodic linear combination of the atomic orbitals Hartree-Fock method. Formation energies,