Development of analytic energy gradient method in nuclear orbital plus molecular orbital theory

Minoru Hoshino, Yasuhiro Tsukamoto, Hiromi Nakai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


This study formulates the analytic energy gradients in the Hartree-Fock calculations of the NOMO theory, which simultaneously determines nuclear and electronic wave functions without the Born-Oppenheimer approximation. The formulations correspond to the translation- and rotation-contaminated (TRC), translation-free (TF), and translation- and rotation-free (TRF) treatments. The optimizations of the orbital centers for several diatomic molecules, which have been performed by using the analytic energy gradients, have given the averaged nuclear distances [R0] reflecting the quantum effects of nuclei and the anharmonicity of the potential energy surfaces. The numerical assessments have clarified that the effects of eliminating the translational and rotational contaminations, i.e., the TRF effects are important to improve the evaluations of {R0}, especially for the molecules including hydrogen atoms.

Original languageEnglish
Pages (from-to)2575-2585
Number of pages11
JournalInternational Journal of Quantum Chemistry
Issue number14
Publication statusPublished - 2007 Nov 15


  • Energy gradient
  • Non-Born-Oppenheimer theory
  • Nuclear orbital plus molecular orbital theory
  • Optimization
  • Vibrational averaging

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry


Dive into the research topics of 'Development of analytic energy gradient method in nuclear orbital plus molecular orbital theory'. Together they form a unique fingerprint.

Cite this