Theoretical Chemistry Accounts

, Volume 130, Issue 4–6, pp 701–709 | Cite as

Finite-field evaluation of static (hyper)polarizabilities based on the linear-scaling divide-and-conquer method

  • Tsuguki Touma
  • Masato Kobayashi
  • Hiromi NakaiEmail author
Regular Article


This article describes the finite-field (FF) approach for calculating static (hyper)polarizabilities based on the divide-and-conquer (DC) method. The method is assessed by the Hartree–Fock (HF) and post-HF calculations of π-conjugated model systems: a terminal donor or acceptor substituent on polyene chains. The DC–FF approach enables the evaluation of molecular polarizabilities with highly accurate coupled-cluster theory. Numerical assessments demonstrate that the (hyper)polarizabilities calculated by the present DC–FF method agree with the conventional FF results to within a few percent by employing an appropriate buffer size.


Divide-and-conquer Finite-field method Hyperpolarizability Linear-scaling Nonlinear optics Correlation 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

  • Tsuguki Touma
    • 1
  • Masato Kobayashi
    • 1
    • 2
  • Hiromi Nakai
    • 1
    • 2
    • 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.CRESTJapan Science and Technology AgencyTokyoJapan

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