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DEVELOPMENT OF MOLECULAR THEORY FOR THE CALCULATION OF POTENTIAL ENEGY SURFACES

Research Project

Project/Area Number 05453019
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field Physical chemistry
Research InstitutionTHE UNIVERSITY OF TOKYO

Principal Investigator

HIRAO Kimihiko  The UNIVERSITY OF TOKYO,FACULTY OF engineering, PROFESSOR, 工学部, 教授 (70093169)

Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥6,800,000 (Direct Cost: ¥6,800,000)
Fiscal Year 1994: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1993: ¥4,200,000 (Direct Cost: ¥4,200,000)
KeywordsMRMP THEORY / MULTIREFERENCE PERTURBATION THEORY / MOLECULAR ELECTRONIC THEORY / CORRELATION PROBLEM / POTENTIAL ENERGY SURFACES / EXCITED STATES / ポテンシャル曲面 / 分子理論 / 多体問題 / ポテンシャルエネルギー曲面
Research Abstract

Single reference perturbation theory and cluster expansion theory such as symmetry adapted cluster and coupled cluster theories are very effective in describing dynamical correlation but fail badly in dealing with nondynamical correlation. CI is easily applied in multireference form and can handle nondynamical correlation but the CI expansion becomes less compact and less efficient as the number of electrons in the system grows. Therefore we have developed multireference based Rayleigh-Schrodinger perturbation theory. The MRMP is reliable and retains the attractive features of the single reference MP method. The theory has conceptual simplicity due to the independent electron pair model. It is almost size consistent. It is very efficient and cost effective. Multireference technique can dissociate a molecule correctly into its fragments. It is applicable to open shells and excited states.
The state-specific MRMP has been sucessfully applied to the calculations of the potential energy surfaces of chemical reactions. Also the theory was applied to the study of valence and Rydberg excitation energies of benzene. The results compare well with the experiment. The calculated valence pi-pi^* excitation energies (experimental values in parentheses) are ^1B_<2u>,4.77 (4.90), ^1B_<1u>,6.28 (6.20), ^1E_<1u>,6.98 (6.94) and ^1E_<2g>,7.88 (7.80) eV,respectively. The Rydberg excitation energies are also predicted with an accuracy of 0.18 eV or better. Results of similar accuracy are obtained for the valence and Rydberg excitation energies for cyclopentadiene, furan, pyrrole, naphthalene and ozone.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] K.Hirao: "State-specific multireference Moller-Plesset perturbation treatment for singlet and triplet excited states,ionized states and electron attached states of H_2O" Chem Phys.Lett.201. 59-66 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Yamamoto: "Molecular applications of the generalized symmetry adaped cluster theory" Chem,Phys.Lett.204. 315-319 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Obata: "Structure and Vibrational Analysis of Protonated Ethane C2H7+" Bull.Chem.Soc.Japan. 66. 3271-3282 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Obara: "Molecular.Integrals in the Equation of Correlated Electronic Wave Function Including Interparticle Distances" Bull.Chem.Soc.Japan. 66. 3300-3308 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Hirao: "Calculation of potential energy sarfaces for Chemical reactions" New Functionality Materials,Vol.C23GE05:1993. 63-68

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Yamanaka: "CASPT2 and MRMP2 calculations of potential curves and effective exchange integrals for the dimer of triplet methylene" Chem.Phys.Lett.225. 213-220 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Hirao: "Multireference Moller-Plesset Perturbation Treatment for Valence and Rydbery Excited States of Benzene" Chem.Phys.Lett.(発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Hirao: "Recent Development of Electronic Stracture Theory" Functionality of Molecular Systems. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Hashimoto: "Is CrF6 Octahedral? MRMP theory and DFT also confirm “Yes!"" Inorganic Chemistry. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Nakano: "Multireference Moller-Plesset Perturbation Treatment for Excited States of Ciyclopentadieve,Pyrrole and Furan" Chem.Phys.Lett.(発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Mogi: "Diabatic and adia bafic Lagrange-Newton methods to determine the basic characteristic of potential energy surfaces in the state-to-state reactions" J.Phys.Chem.(発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Hirao: "State-specific multireference Moller-Plessetperturbation theatment for singlet and triplet excited states, ionized states and electron attached states of H20" Chem.Phys.Lett.201. 59-66 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] "Molecular application of the generalized symmetry adapted cluster theory" Chem.Phys.Lett.204. 315-319 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Obata: "Structure and Vibrational Analysis of Protonated Ethane C2H7+" Bull.Chem.Soc.Japan. 66. 3271-3282 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Obata: "Molecular Integrals in the Equation of Correlated Electronic Wave Function Including Interparticle Distances" Bull.Chem.Soc.Japan. 66. 3300-3308a (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Hirao: "Calculation of potential energy surfaces for chemical reactions" New Functionality Materials. Vol.C. 63-68 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Yamanaka: "CASPT2 and MRMP2 calculations of potenital curves and effective exchange integrals for the dimer of triplet methylene" Chem.Phys.Lett.225. 213-220 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Hirao: "Multireference Moller-Plesset Perturbation Theatment for Valence and Rydberg Excited States of Benzene" Chem.Phys.Lett.(in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Hirao: "Recent Development of Electronic Structure Theory" Functionality of Molecular Systems. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Hashimoto: "Is CrF6 Octahedral? MRMP theory and DFT also confirm "Yes! "" Inorganic Chemistry. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Nakano: "Multireference Moller-Plesset Perturbation Treatment for Excited States of Cyclopendadiene, Pyrolle and Furan" Chem Phys Lett. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Mogi: "Diabatic and adiabatic Lagrarange-Newton methods to determine the basic characteristic of potential energy surfaces in the state-to-state reactions" J.phys Chem. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Yamanaka: "CASPTZ and MRMPZ calculations of potential curues and effective exchange intepols for the dimes of tripletmuthylene" Chem,Phys,Lett.225. 213-220 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Hirao: "Multirefercncl Mrller-Plesset Perturbation Trcetnunt for Valence and Rydbery Excited States of Benzene" Chem,Phys,Lett.(印刷中).

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Hirao: "Recent Dubepmunt of Electronic Structure Theory" Functionality of Molecular Systems. (印刷中).

    • Related Report
      1994 Annual Research Report
  • [Publications] 平尾 公彦: "State-Specific Multireference Moller-Plesset Perturbation Treatment for Singlet and Triplet Excited States,Ionized States and Electron Attached States of H_2O" Chem.Phys.Lett.201. 59-66 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 山本 茂義: "Molecular Application of the Generalized Symmetry Adapted Cluster Theory" Chem.Phys.Lett.204. 315-319 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 平尾 公彦: "Calculations of Potential Energy Surfaces for Chemical Reactions" New Functionality Materiols. C. 63-68 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小畑 繁樹: "Theoretical Study of the Vibrational Analysis of C_2H_7+" Bull.Chem.Soc.Japan. 66. 3271-3283 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小原 繁: "Molecular Integrals in the Equation of a Correlated Electronic Wave Function Satisfying the Correlation Cusp Condition" Bull.Chem.Soc.Japan. 66. 3300-3309 (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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