229 pages | 18 B/W Illus.
While modern computational methods can provide us with the wave function of a molecule in numerical form, most computer programs lack the sophisticated tools needed to extract chemical concepts from these wave functions. Saving researchers vast time and potential confusion, this volume collects and organizes those validated tools currently scattered throughout the literature and details their application. It provides immediate access for those needing to calculate such critical factors as bond order and valence indices, and atomic and diatomic contributions to molecular energy. Supporting material is available for download from the authors' continually updated website.
1. Introduction 2. Basic Ideas of Hilbert space analysis 3. A common franework: Atomic resolution of identity 4. Analysis of the first-order density in Hilbert space 5. Effective AOs and effective minimal basis sets 6. Bond order and valence indices in the Hilbert space 7. Open-shell systems and local spins 8. Energy components in the Hilbert space 9. Analysis in the three-dimensional space