Energy extrapolation in CI calculations

A method of extrapolating the CI energy of large configuration subspaces is discussed and illustrated in a series of examples. Secular equations for selected groups of configurations are solved, while the influence of the remaining elements in the subspace is accounted for in a statistical manner. Criteria for judging the reliability of the extrapolation technique are developed and evidence is presented underscoring the need to go beyond the level of truncated CI calculations in obtaining excitation energy and potential surface results.

[1]  B. Roos,et al.  A new method for large-scale Cl calculations , 1972 .

[2]  S. Peyerimhoff,et al.  Theoretical study of the vertical electronic spectrum of O2: Mixing of valence and Rydberg states , 1975 .

[3]  S. Peyerimhoff,et al.  Ab initio calculations on the electronic spectrum of ethane , 1975 .

[4]  O. Sǐnanoğlu,et al.  MANY-ELECTRON THEORY OF ATOMS AND MOLECULES. I. SHELLS, ELECTRON PAIRS VS MANY-ELECTRON CORRELATIONS , 1962 .

[5]  R. Nesbet Atomic Bethe-Goldstone Equations. III. Correlation Energies of Ground States of Be, B, C, N, O, F, and Ne , 1968 .

[6]  J. Whitten,et al.  Configuration Interaction Studies of Ground and Excited States of Polyatomic Molecules II. The Electronic States and Spectrum of Pyrazine , 1971 .

[7]  I. Shavitt,et al.  An application of perturbation theory ideas in configuration interaction calculations , 1968 .

[8]  S. Peyerimhoff,et al.  All-valence-electron Cl calculations on the electronic spectrum of diborane , 1975 .

[9]  W. E. Kammer,et al.  Theoretical study of the electronic spectrum of diimide by AB initio methods , 1975 .

[10]  Ernest R. Davidson,et al.  Studies in Configuration Interaction: The First-Row Diatomic Hydrides , 1969 .

[11]  J. L. Whitten,et al.  Configuration Interaction Studies of Ground and Excited States of Polyatomic Molecules. I. The CI Formulation and Studies of Formaldehyde , 1969 .

[12]  I. Shavitt,et al.  Convergence studies in configuration interaction calculations , 1968 .

[13]  S. Peyerimhoff,et al.  Calculations on the electronic spectrum of water , 1974 .

[14]  Robert J. Buenker,et al.  Individualized configuration selection in CI calculations with subsequent energy extrapolation , 1974 .