## Abstract In a previous paper, a scheme of integral approximation was proposed, in which a large number of twoโelectron integrals containing a certain kind of orbital pairs, i.e., weakly related pairs, can be neglected. A new criterion for partitioning orbital pairs into two groups, i.e., strongl
Integral approximations on the basis of semiorthogonalized orbitals
โ Scribed by Hiroshi Kashiwagi
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 366 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
Semiorthogonalized orbitals are introduced as a basis of approximate ab initio molecular calculations. The semiorthogonalized orbitals are obtained from the usual overlapping atomic orbitals by means of a generalized Lรถwdin transformation. The new orbitals are characterized by two features: many overlaps between them are zero, and they are close to their corresponding initial atomic orbitals. On the basis of the semiorthogonalized orbitals, a scheme of integral approximations is proposed which allows one to carry out approximate ab initio calculations with less computational efforts and thus offers a possibility to perform calculations on much bigger molecules with limited computational facilities. Results are presented for model calculations on the anthracene ฯโelectron system. Orbital energies and electron distribution are quite close to the rigorously calculated values.
๐ SIMILAR VOLUMES
## Abstract __Ab initio__ LCAO SCF MO CI calculations of naphthalene are carried out with a minimal basis set to test an integral approximation scheme proposed in a previous paper. When 71.3 and 53.0% of the twoโelectron integrals are neglected, the errors in the SCF total energy are only โ0.0534 a
## Abstract The transformation of twoโelectron integrals from an atomic orbital basis to a symmetry orbital basis is a straightforward procedure, but becomes a timeโconsuming process when the system has high symmetry. In the conventional transformation algorithm, the number of multiplications is pr
A computational method based on a rapidly convergent form of the unlinked cluster expansion is presented, &&G's CoupIed-pair approximation (CPA) is derived in a basis of partially non-orthogonal orbitals which transform each palr function to diagonal form; this produces a simple (non-variational) se
## Abstract A new scheme for deriving localized basis orbitals (LBOs) and for obtaining integral transformations from the basis orbitals (BOs) to the LBOs has been introduced. The scheme was tested at the __ab initio__ HartreeโFock level using the STOโ3G basis set. It has been revealed that it prov