The Roothaan equations have been modified to compute molecular interactions between weakly bonded systems at the SCF level of theory without the basis set superposition error (BSSE). The increase in complication with respect to the usual SCF algorithm is negligible. Calculation of the SCF energy on
Molecular hardness and Roothaan energy equations
✍ Scribed by Mario Giambiagi; Myriam Segre De Giambiagi; José Maria Pires
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 356 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
Using the dependence of the electronic energy on MU occupation numbers, it is shown that for an N-electron species the hardness depends on whether N is even or odd. For odd N, we find that the usual I-A expression is appropriate. For even N, the hardness is given by the interaction between electrons in the HOMO and the LUMO. We show the results of calculations for this last case and compare them with results from others.
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To elucidate the effects of overall molecular shape upon the electronic response properties of molecules and nanoclusters we recently have considered various jellium cluster models for the mean excitation energy. Here we apply similar models to characterize the relationship among gross molecular sha
## Abstract Different methods of averaging of energy over the states of electronic configurations γ^__N__^ (__n__~γ~ = 1, 2, 3 and __N__ = 1, 2, …, 2__n__~γ~ − 1) leading to Roothaan' energy expression are considered. The consequent values of vector coupling coefficients (VCC) in energy functionals