A SEMI-EMPIRICAL MO THEORY OF SIGMA ELECTRON SYSTEMS. I. GENERAL THEORY,

Abstract

A semi-empirical Molecular Orbital (MO) theory is proposed for complex saturated molecules. In a firstorder treatment, each MO is represented as a localized function that contains only the Atomic Orbital connected with one bond or atom. This enables us to define a set of bonding, anti-bonding and lone-pair orbitals. The molecular wave function is obtained as an anti-symmetrized product of the bonding and lone-pair orbitals. In this approximate theory the definitions of the electronegativity scale and of the inductive effect are discussed; the electronegativity scales proposed by Moffitt and Mulliken are obtained as special cases. In a subsequent, more accurate second-order theory each MO is represented as a linear combination of all bonding, anti-bonding and lone-pair orbitals; this treatment is made by means of the perturbation theory. A semi-empirical approach is developed by taking the interactions between different bonds as empirical parameters. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 10, 1964
Accession Number
AD0612588

Entities

People

  • Hidekazu Hamano

Organizations

  • University of Pennsylvania

Tags

DTIC Thesaurus Topics

  • Atomic Orbitals
  • Atoms
  • Electrons
  • Mathematics
  • Molecular Orbital Theory
  • Molecules
  • Perturbation Theory
  • Perturbations
  • Wave Functions

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene
  • Space