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A study on the OZ theory to improve the accuracy of thermodynamic quantities

Research Project

Project/Area Number 16K05659
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Physical chemistry
Research InstitutionEhime University

Principal Investigator

MIYATA Tatsuhiko  愛媛大学, 理工学研究科(理学系), 講師 (70390648)

Project Period (FY) 2016-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords溶媒和自由エネルギー / OZ理論 / RISM理論 / 分子動力学シミュレーション / closure近似 / hybrid closure / Lennard-Jones流体 / クーロン系 / MD hybrid closure / 溶融塩 / Ornstein-Zernike理論 / 溶媒-溶媒相関関数 / クーロンポテンシャル / 3D-OZ理論 / 平均力ポテンシャル / LJポテンシャル / 2D-OZ理論 / 3D-RISM理論 / MOZ理論 / 熱力学量 / 動径分布関数 / LJ流体 / 統計力学 / 化学物理 / 熱力学 / 液体論 / 分子シミュレーション
Outline of Final Research Achievements

The solvation free energy plays the central role in discussing the thermodynamic stability of solutes in solution. While the integral equation method including the OZ theory has an advantage of low computational cost, the solvation free energy obtained by the method suffers from a significant error coming from the approximation assumed in the theories. This study began with improving the accuracies for monatomic molecular systems, and aimed to improve the 3D-RISM theory through a bottom-up approach. This study has proposed the SEB correction, which is defined as a bridge function to have an effect of enlarging the sigma parameter of the LJ potential. This correction can be widely used not only for monatomic molecular systems but also for polyatomic ones. Furthermore, the SEB is found to improve the accuracy of the hydration free energy obtained from the 3D-RISM theory.

Academic Significance and Societal Importance of the Research Achievements

タンパク質の安定構造やリガンド結合などの予測計算では通常、分子動力学法が使われる。分子動力学法は結果が正確であることが期待される反面、計算コストが大変重く、タンパク質などの複雑な分子の自由エネルギー計算ではスーパーコンピュータが不可欠である。一方、積分方程式理論は計算コストが軽い反面、理論に含まれる近似の影響により計算結果が不正確となる場合がある。本研究成果は溶媒和自由エネルギーに関して、計算コストの軽さと計算結果の正確性を両立し得るものであり、今後は複雑な分子系への応用が期待される。

Report

(9 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (38 results)

All 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article (17 results) (of which Peer Reviewed: 17 results,  Open Access: 8 results,  Acknowledgement Compliant: 2 results) Presentation (20 results) (of which Int'l Joint Research: 4 results,  Invited: 5 results) Book (1 results)

  • [Journal Article] A study on the approximated angular averaging of distribution functions obtained from the Ornstein?Zernike theory for diatomic solutes consisting of fused Lennard-Jones particles immersed in a Lennard?Jones monatomic solvent2023

    • Author(s)
      Miyata Tatsuhiko、Fukuma Kazuki、Kiuchi Tatsuhiro
    • Journal Title

      Journal of Molecular Liquids

      Volume: 388 Pages: 122803-122803

    • DOI

      10.1016/j.molliq.2023.122803

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A study on the extension of correlation functions obtained from molecular dynamics simulations by the Ornstein?Zernike theory for modeled molten salts2023

    • Author(s)
      Miyata Tatsuhiko、Funahara Yu、Omori Seiya、Shinjo Taro
    • Journal Title

      AIP Advances

      Volume: 13 Issue: 11 Pages: 115322-115322

    • DOI

      10.1063/5.0180366

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Sigma enlarging bridge correction of three dimensional Ornstein?Zernike theory for solvation free energy of polyatomic solutes immersed in Lennard-Jones monatomic solvent2022

    • Author(s)
      Miyata Tatsuhiko、Hikasa Yusuke
    • Journal Title

      AIP Advances

      Volume: 12 Issue: 8 Pages: 085206-085206

    • DOI

      10.1063/5.0102003

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Integral equation study of effective attraction between like-charged particles mediated by cations: Comparison between IPY2 and HNC closures2022

    • Author(s)
      Takeda M.、Maruyama K.、Akiyama R.、Miyata T.
    • Journal Title

      Europhysics Letters

      Volume: 140 Issue: 1 Pages: 17001-17001

    • DOI

      10.1209/0295-5075/ac94f5

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Accuracy of some useful closure relations in combination with the reference interaction site model theory for fluids of single component diatomic molecules2022

    • Author(s)
      Miyata Tatsuhiko、Murata Shohei、Sakamoto Megumi、Sasaki Yasushi
    • Journal Title

      AIP Advances

      Volume: 12 Issue: 3 Pages: 035248-035248

    • DOI

      10.1063/5.0085014

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Extending correlation functions of molecular dynamics simulation by Kovalenko?Hirata and Kobryn?Gusarov?Kovalenko closures for monatomic Lennard-Jones solvent and its application to a calculation of solvation2021

    • Author(s)
      Miyata Tatsuhiko、Nishida Shunsuke、Ogasawara Yu
    • Journal Title

      AIP Advances

      Volume: 11 Issue: 2 Pages: 025026-025026

    • DOI

      10.1063/5.0043388

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Sigma enlarging bridge function for heteronuclear Lennard-Jones diatomic solute solvated in a Lennard-Jones monatomic solvent in terms of the parameter transferability2020

    • Author(s)
      Miyata Tatsuhiko
    • Journal Title

      Chemical Physics Letters

      Volume: 755 Pages: 137777-137777

    • DOI

      10.1016/j.cplett.2020.137777

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Transferability of Sigma Enlarging Bridge Function for Lennard-Jones Diatomic Solute Using Monatomic Solvent Correlation Obtained from Molecular Dynamics Simulation2020

    • Author(s)
      Miyata Tatsuhiko、Yabuki Naoya、Leung Jackie
    • Journal Title

      Chemistry Letters

      Volume: 49 Issue: 11 Pages: 1372-1375

    • DOI

      10.1246/cl.200521

    • NAID

      130007936948

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] An assessment of the sigma enlarging bridge function for a Lennard-Jones solution using a solvent-solvent correlation function obtained from molecular dynamics simulation2019

    • Author(s)
      Miyata Tatsuhiko、Ogasawara Yu、Fujii Takahiro、Yano Daigo、Ebato Yuki
    • Journal Title

      Journal of Molecular Liquids

      Volume: 290 Pages: 111167-111167

    • DOI

      10.1016/j.molliq.2019.111167

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] A study on the transferability of the sigma enlarging bridge function for an accurate evaluation of solvation free energy: The case of homonuclear Lennard-Jones diatomic solute solvated in a Lennard-Jones monatomic solvent2019

    • Author(s)
      Miyata Tatsuhiko、Yabuki Naoya
    • Journal Title

      AIP Advances

      Volume: 9 Issue: 2 Pages: 025310-025310

    • DOI

      10.1063/1.5087935

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Performance of Kobryn-Gusarov-Kovalenko closure from a thermodynamic viewpoint for one-component Lennard-Jones fluids2018

    • Author(s)
      Miyata Tatsuhiko、Tange Kentaro
    • Journal Title

      Chemical Physics Letters

      Volume: 700 Pages: 88-95

    • DOI

      10.1016/j.cplett.2018.04.013

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Molecular Dynamics Simulations of Theoretical Cellulose Nanotube Models2018

    • Author(s)
      Takuya Uto, Yuta Kodama, Tatsuhiko Miyata, Toshifumi Yui
    • Journal Title

      Carbohydrate Polymers

      Volume: 190 Pages: 331-338

    • DOI

      10.1016/j.carbpol.2018.03.004

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Parameterization of Empirical Sigma Enlarging Bridge Correction of Kovalenko-Hirata Closure in Ornstein-Zernike Theory for Lennard-Jones Fluids2017

    • Author(s)
      Tatsuhiko Miyata
    • Journal Title

      Bull. Chem. Soc. Jpn.

      Volume: 90 Issue: 10 Pages: 1095-1104

    • DOI

      10.1246/bcsj.20170203

    • NAID

      130006770689

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Correction of Kovalenko-Hirata closure in Ornstein-Zernike integral equation theory for Lennard-Jones fluids2017

    • Author(s)
      Tatsuhiko Miyata and Yuki Ebato
    • Journal Title

      J. Molec. Liquids

      Volume: 245 Pages: 2-10

    • DOI

      10.1016/j.molliq.2017.05.134

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Thermodynamic significance to correct the location of first rising region in radial distribution function approximately estimated from Ornstein-Zernike integral equation theory for Lennard-Jones fluids2016

    • Author(s)
      Tatsuhiko Miyata and Yuki Ebato
    • Journal Title

      J. Molec. Liquids

      Volume: 217 Pages: 75-82

    • DOI

      10.1016/j.molliq.2015.11.054

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] A pressure consistent bridge correction of Kovalenko-Hirata closure in Ornstein-Zernike theory for Lennard-Jones fluids by apparently adjusting sigma parameter2016

    • Author(s)
      Yuki Ebato and Tatsuhiko Miyata
    • Journal Title

      AIP advances

      Volume: 6 Issue: 5 Pages: 055111-055111

    • DOI

      10.1063/1.4950703

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Accuracy of Temperature-Derivative of Radial Distribution Function Calculated under Approximations in Ornstein-Zernike Theory for One-Component Lennard-Jones Fluid2016

    • Author(s)
      Tatsuhiko Miyata and Sanae Miyazaki
    • Journal Title

      Chem. Phys. Lett.

      Volume: 658 Pages: 224-229

    • DOI

      10.1016/j.cplett.2016.06.049

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] OZ理論を利用して分子動力学法の動径分布関数を延伸する方法の検討:溶融塩モデルの場合2023

    • Author(s)
      宮田竜彦・舩原優・大森晟矢・新城太郎
    • Organizer
      第45回溶液化学シンポジウム
    • Related Report
      2023 Annual Research Report
  • [Presentation] Application of the sigma enlarging bridge correction to polyatomic solutes solvated in Lennard-Jones monatomic solvent2022

    • Author(s)
      Tatsuhiko Miyata and Yusuke Hikasa
    • Organizer
      The 15th Mini-Symposium on Liquids (MSL2022)
    • Related Report
      2022 Research-status Report
  • [Presentation] 多原子溶質周りでの単原子LJ溶媒の分布関数を角度平均するための近似法の提案2022

    • Author(s)
      宮田竜彦・木内竜大・福間和輝・高橋侑己
    • Organizer
      第44回溶液化学シンポジウム
    • Related Report
      2022 Research-status Report
  • [Presentation] Development of concepts and bridge functions to improve the accuracy of solvation free energy for molecular liquids2021

    • Author(s)
      Tatsuhiko Miyata
    • Organizer
      Pacifichem 2021
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Integral equation theory for describing the solvation of heteronuclear LJ diatomic solute in LJ monatomic solvent2019

    • Author(s)
      Tatsuhiko Miyata and Tatsuhiro Kiuchi
    • Organizer
      The 13th Mini-Symposium on Liquids (MSL2019)
    • Related Report
      2019 Research-status Report
  • [Presentation] RISM理論における二原子分子流体の熱力学量の精度に関する研究2019

    • Author(s)
      宮田竜彦・坂本萌・佐々木康
    • Organizer
      第42回溶液化学シンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] OZ系の積分方程式理論から求まる溶媒和自由エネルギー高精度化の試み2019

    • Author(s)
      宮田竜彦
    • Organizer
      研究会「凝縮系の理論化学」
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] SEB correction to improve the accuracy of solvation free energy for LJ fluids: an attempt to prepare solvent-solvent correlation function by MD simulation2019

    • Author(s)
      Tatsuhiko Miyata, Takahiro Fujii, Daigo Yano, Yu Ogasawara and Yuki Ebato
    • Organizer
      日本化学会第99春季年会
    • Related Report
      2018 Research-status Report
  • [Presentation] Accuracy of OZ Theory: Solvation Free Energy of LJ Diatomic Solute in LJ Solvent2018

    • Author(s)
      Tatsuhiko Miyata and Naoya Yabuki
    • Organizer
      The 12th Mini-Symposium on Liquids (MSL2018)
    • Related Report
      2018 Research-status Report
  • [Presentation] Sigma enlarging bridge correction for an accurate evaluation of solvation free energy of Lennard-Jones fluids: an attempt to utilize molecular simulation in preparing solvent-solvent correlation function2018

    • Author(s)
      Tatsuhiko Miyata, Takahiro Fujii, Daigo Yano, Yu Ogasawara and Yuki Ebato
    • Organizer
      EMLG-JMLG Annual Meeting 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Accuracy of solvation free energy evaluated from Ornstein-Zernike integral equation theory2018

    • Author(s)
      Tatsuhiko Miyata and Naoya Yabuki
    • Organizer
      日本化学会第98春季年会
    • Related Report
      2017 Research-status Report
  • [Presentation] OZ理論における近似が溶媒和自由エネルギーに及ぼす影響:LJ溶媒の場合2017

    • Author(s)
      宮田竜彦
    • Organizer
      スーパーコンピューターワークショップ2017
    • Place of Presentation
      分子科学研究所(愛知県岡崎市)
    • Year and Date
      2017-02-01
    • Related Report
      2016 Research-status Report
  • [Presentation] Accuracy of solvation free energy evaluated from Ornstein-Zernike integral equation theory for Lennard-Jones solvent system2017

    • Author(s)
      Tatsuhiko Miyata
    • Organizer
      International Workshop on Stat-Mech of Liquids
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Ornstein-Zernike型積分方程式理論に基づく溶媒和自由エネルギーの高精度化2017

    • Author(s)
      宮田竜彦・矢吹直哉
    • Organizer
      第66回高分子討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] OZ理論による溶媒和自由エネルギーの精度:LJ 溶媒へのLJ 等核二原子分子の溶媒和について2017

    • Author(s)
      宮田竜彦・矢吹直哉
    • Organizer
      第40回溶液化学シンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] Ornstein-Zernike 理論に基づく溶媒和自由エネルギー高精度化の試み2017

    • Author(s)
      宮田竜彦・矢吹直哉
    • Organizer
      第31回分子シミュレーション討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] OZ系積分方程式理論を用いた溶媒和の計算:ミセルへの応用へ向けて2017

    • Author(s)
      宮田竜彦
    • Organizer
      高分子学会九州支部フォーラム
    • Place of Presentation
      福岡大学(福岡県福岡市)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] OZ理論から求まる溶媒和自由エネルギーの高精度化の試み2016

    • Author(s)
      宮田竜彦
    • Organizer
      第39回溶液化学シンポジウム
    • Place of Presentation
      産業技術総合研究所(茨城県つくば市)
    • Year and Date
      2016-11-09
    • Related Report
      2016 Research-status Report
  • [Presentation] Correction of Kovalenko-Hirata closure in Ornstein-Zernike integral equation theory for Lennard-Jones fluids2016

    • Author(s)
      Tatsuhiko Miyata and Yuki Ebato
    • Organizer
      EMLG-JMLG Annual Meeting 2016
    • Place of Presentation
      Chania, Crete, Greece
    • Year and Date
      2016-09-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] OZ理論における近似がLJ系の熱力学量に及ぼす影響2016

    • Author(s)
      宮田竜彦
    • Organizer
      研究会「分子を使った寄せ木細工」~自己組織化したソフトマテリアルが織りなす「かたち」と機能~
    • Place of Presentation
      島根大学(島根県松江市)
    • Year and Date
      2016-05-27
    • Related Report
      2016 Research-status Report
    • Invited
  • [Book] 材料表面の親水・親油の評価と制御設計 第8章 第10節2016

    • Author(s)
      宮田竜彦・吉田紀生
    • Total Pages
      4
    • Publisher
      テクノシステム
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2025-01-30  

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