Theoretical Chemistry Accounts

, Volume 130, Issue 2–3, pp 411–417 | Cite as

Linear-scaling divide-and-conquer second-order Møller–Plesset perturbation calculation for open-shell systems: implementation and application

  • Takeshi Yoshikawa
  • Masato Kobayashi
  • Hiromi NakaiEmail author
Regular Article


We have developed the spin-unrestricted divide-and-conquer (DC)-based linear-scaling self-consistent field method for treating open-shell systems (Kobayashi et al. in Chem Phys Lett 500:172, 2010). Because the method does not require the position of excess spins or charges, it made the treatment of large spin-delocalized systems tractable. The present study extends the DC-based unrestricted open-shell scheme to the correlated second-order Møller–Plesset perturbation (MP2) theory. Numerical applications to polyene cations demonstrate that the present method gives highly accurate results with less computational costs even for spin-delocalized systems.


Linear-scaling computation Open-shell system Unrestricted orbital Electron correlation MP2 theory 



Some of the present calculations were performed at the Research Center for Computational Science (RCCS), Okazaki Research Facilities, National Institutes of Natural Sciences (NINS). This study was supported in part by Grants-in-Aid for Challenging Exploratory Research “KAKENHI 22655008” and for Young Scientists (B) “KAKENHI 22750016” from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan; by the Nanoscience Program in the Next Generation Super Computing Project of the MEXT; by the Global Center Of Excellence (COE) “Practical Chemical Wisdom” from the MEXT; and by a project research grant for “Practical in-silico chemistry for material design” from the Research Institute for Science and Engineering (RISE), Waseda University.


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Takeshi Yoshikawa
    • 1
  • Masato Kobayashi
    • 1
    • 2
  • Hiromi Nakai
    • 1
    • 3
    • 4
    Email author
  1. 1.Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda UniversityTokyoJapan
  2. 2.Department of Theoretical and Computational Molecular ScienceInstitute for Molecular ScienceOkazakiJapan
  3. 3.Research Institute for Science and EngineeringWaseda UniversityTokyoJapan
  4. 4.CREST, Japan Science and Technology AgencyTokyoJapan

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