Citation
Rose, John Brandt (1973) I. Application of the EquationsofMotion Method to the Excited States of N₂, CO, and C₂H₄. II. Applicability of SCF Theory to Some OpenShell States of CO, N₂, and O₂. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/M2430H55. https://resolver.caltech.edu/CaltechTHESIS:07252018120348724
Abstract
In Part I various lowlying electronic states of N_{2}, CO, and ethylene are studied by the equationsofmotionmethod. This approach attempts to describe excitation processes directly, without solving Schroedinger's equation separately for the excited and ground states. It reduces to a matrix eigenvalue problem in a space of single particlehole excitations, and the effect of double excitations is determined by perturbation theory.
Using extensive Gaussian basis sets, excitation energies and oscillator strengths are obtained for nine states of CO and eleven states of N_{2} at the equilibrium geometry. The typical error in frequency is about five per cent relative to experiment. Calculated oscillator strengths are also very good since the total intensity must very nearly satisfy the energy weighted sum rule. Results for ethylene show that the V state is a valence state but is more diffuse than the T state and ground state.
Potential energy curves are constructed for all these states by solving the equations at a few points with slightly smaller basis sets. The theory is appropriate as long as the Hartree Fock approximation is a good one for the ground state  within about thirty per cent of equilibrium. The Σ^{+} states of N_{2} and CO are most interesting because questions about perturbation and predissociation can be answered.
Part II describes open shell SCF calculations for some diatomic molecules. By working with the real functions π_{x} and π_{y} instead of π^{+} and π^{}, the SCF Hamiltonians for the Σ states of the configurations (π_{u})^{3}(π_{g}), (π_{u})^{3}(π_{g})^{3},and (1π)^{3}(2π) of diatomic molecules can be expressed in terms of Coulomb and exchange operators only. With these results, conventional SCF programs can solve for the wavefunctions of many interesting states of N_{2}, O_{2}, and CO, e.g., the B ^{3}Σ^{}_{u} state of O_{2}. For many states, the SCF results are in good agreement with experiment. However, SCF theory runs into serious trouble if electron correlation is important in determining the relative locations of excited states.
Item Type:  Thesis (Dissertation (Ph.D.))  

Subject Keywords:  Chemistry  
Degree Grantor:  California Institute of Technology  
Division:  Chemistry and Chemical Engineering  
Major Option:  Chemistry  
Thesis Availability:  Public (worldwide access)  
Research Advisor(s): 
 
Thesis Committee: 
 
Defense Date:  31 July 1972  
Funders: 
 
Record Number:  CaltechTHESIS:07252018120348724  
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:07252018120348724  
DOI:  10.7907/M2430H55  
Related URLs: 
 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  11135  
Collection:  CaltechTHESIS  
Deposited By:  INVALID USER  
Deposited On:  27 Jul 2018 17:33  
Last Modified:  21 Dec 2019 02:27 
Thesis Files

PDF
 Final Version
See Usage Policy. 65MB 
Repository Staff Only: item control page