𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Beryllium dimer, a critical test case of MBPT and CI methods

✍ Scribed by Margareta R. A. Blomberg; Per E. M. Siegbahn


Book ID
104579382
Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
447 KB
Volume
14
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

The ground‐state potential curve for the beryllium dimer is calculated as a critical test case for methods based on many‐body perturbation theory (MBPT) and configuration interaction (CI). In particular, the recently proposed double excitation (DE) MBPT method is compared to the standard SCF‐CI method including single and double excitations from a single reference determinant. The SCF‐CI method is shown to give surprisingly accurate results compared to more complete CI calculations including a larger configuration space, whereas the DE‐MBPT method breaks down more or less completely, particularly for larger basis sets. The results thus demonstrate the importance of including the renormalization terms in this case. Finally, Davidson's correction and related methods lead to an even more severe breakdown than the DE‐MBPT method.


πŸ“œ SIMILAR VOLUMES


Application of graphical methods of spin
✍ B. G. Adams; J. Paldus; J. Čížek πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 671 KB

## Abstract A time independent diagrammatic technique based on the Wick theorem and graphical methods of spin algebras, as outlined in Part I, is applied to a simple open shell case having one unpaired electron in addition to the pure singlet closed shell. Compact explicit expressions for the matri