Gaussian orbitals optimized for lower bounds of hydrogenic atoms

✍ Scribed by J. W. Johnson; R. D. Poshusta

• Book ID: 104578342
• Publisher: John Wiley and Sons
• Year: 1973
• Tongue: English
• Weight: 396 KB
• Volume: 7
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560070510

✦ Synopsis

Abstract

Various optimization criteria are compared for the hydrogen atom to find orbitals which improve lower bounds computed from the Weinstein, Temple, and Stevenson‐Crawford formulas. Minimization of squared energy deviation, “variance,” is recommended because the resulting lower bound orbitals give excellent lower bounds, converge to the exact wave function, are relatively easy to optimize, and are insensitive to the estimated energy eigenvalue. New linear combinations of Gaussian orbitals which minimize the variance are presented for the 1__s__, 2__s__, 2__p__, 3__s__, 3__p__, and 3__d__ orbitals. These orbitals are compared with previous linear combinations with regard to their expectation values and local properties.