QUANTUM MECHANICS OF HO2. I. GROUP THEORY AND COORDINATE TRANSFORMATIONS,

Abstract

This report outlines the rigorous quantum mechan ical steps required to solve the problem of sta bility of the reaction intermediate HO2 and points out where approximations may be intro duced to enable one to overcome the computa tional difficulties. Symmetry group rpresen tations applicable to this radical are described. Coordinate transformation matrices are set up to provide a machine computational method of con verting from the coordinate system used for com puting the quantum mechanical integrals to the system appropriate to the symmetry groups of the triatomic unsymmetrical radical. A procedure for machine orthogonalization of the wave functions is developed. Reduction of the total number of configurations required for consideration is principally achieved by setting up linear combi nations of orbitals to correspond to bonding and antibonding and preassigning electrons by pairs to the bonding and none to the antibonding. The relationship of bond angle to degreeof hybridi zation is developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0411982

Entities

People

  • D.s. Villars

Organizations

  • Naval Air Weapons Station China Lake

Tags

DTIC Thesaurus Topics

  • Chemical Reactions
  • Computational Science
  • Coordinate Systems
  • Electrons
  • Integrals
  • Mathematics
  • Mechanics
  • Physics
  • Quantum Mechanics
  • Symmetry
  • Wave Functions

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.

Technology Areas

  • Microelectronics
  • Quantum Computing
  • Space