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Additional info for An Application of the Quantum Theory of Band Spectra to the First Negative Deslandres Group of Carbon

Example text

The analysis reported in Table 1 clearly exemplifies this general feature. The examples of Table 1 also show the strong directional characteristics of LO contributions; for example the different contributions given by the two oxygen lone pairs to points A and B. What this table cannot show is the remarkable transferability of group contributions, in the sense that the same LO group in different molecules gives origin to comparable contributions to V ( ~ of their molecules in some points placed at the same distance and orientation with respect to that group.

Edminston-Ruedenberg and Boys' methods were originally expressed only for SCF closed-shell systems and extended later. Let us consider Edminston-Ruedemberg's method first. e. the sum of the Coulombic self-energies. The set of orbitals which satisfy this condition is obtained by applying a suitable unitary transformation to the set of occupied molecular orbitals ~k. This condition is equivalent to reduce the 'true' electron exchange energy: -- r12 - E E k l~k (22) to a minimum, as unitary transformations lead invariant pe(~, and then ~kv'~176 Kkt also includes terms Kkk which are equal to Jkk.

The NBO analysis, strongly advocated by the authors, has been introduced in several computational packages of large use, and can be used for correlated wavefunctions beyond the SCF approximation. It also gives atomic charges which represent an interesting alternative to those considered in Section 3. Edminston-Ruedenberg and Boys' methods were originally expressed only for SCF closed-shell systems and extended later. Let us consider Edminston-Ruedemberg's method first. e. the sum of the Coulombic self-energies.

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