RKQCQuantum Chemistry Laboratory · Hiroshima University
← Back to research overviewRESEARCH CASE / RC-01

RC-01 — Open-Shell Electronic Structure & Molecular Properties

D1 — Research Orientation

Molecular properties are strongly influenced by how electrons are distributed within molecules, what electronic states they form, and how they interact with one another.

We study open-shell electronic structures, in which electrons are not necessarily paired, and investigate how their characteristics are connected to molecular properties, including optical and magnetic responses.

D2 — Scientific Explanation

Electron Pairing and Open-shell Electronic Structure

Electrons in molecules have spatial distributions described by molecular orbitals and interact with one another. Many stable molecules can be understood by starting from a closed-shell electronic structure, in which electrons are paired.

However, not every molecule can be adequately described by a single closed-shell electron configuration. When multiple configurations become important, open-shell character can arise even in an overall singlet state. Understanding such electronic states requires consideration of electron distributions, interactions, and electron correlation.

Electronic Structure and Molecular Properties

Open-shell electronic structures are closely related to molecular optical and magnetic properties, as well as chemical reactivity. However, a greater degree of open-shell character does not necessarily lead to a stronger response or a more pronounced property. For example, theoretical studies of the relationship between open-shell character and nonlinear optical responses have shown that particularly large responses can occur in molecular systems with intermediate diradical character.

Understanding such relationships requires consideration of multiple factors, including the electronic configurations associated with open-shell character, electronic-state energies, and interactions between states. We combine theoretical models and quantum chemical calculations to investigate how open-shell electronic structure influences molecular properties and to identify the underlying physical and chemical factors.

D3 — Scientific Detail

1. Understanding Open-shell Character and Electron Correlation

Open-shell character emerges from competing factors such as electron localization and delocalization, electron–electron repulsion, and orbital energies. Models involving a limited number of electrons and orbitals provide a useful starting point for understanding these relationships. In real molecules, however, additional electronic configurations and electron correlation can become important. We therefore combine simplified models that identify underlying physical factors with detailed electronic-structure calculations.

Quantitative descriptors of open-shell character also have their own ranges of applicability. Rather than relying on a single measure, we interpret these descriptors in relation to the electronic states and properties under investigation.

2. Open-shell Electronic Structure and Nonlinear Optical Responses

Third-order nonlinear optical responses provide an example of how open-shell electronic structure can influence molecular properties. The molecular quantity characterizing the contribution to the induced polarization that is cubic in the electric field is the second hyperpolarizability.

Theoretical studies of singlet diradical systems have shown that, in certain models, the second hyperpolarizability can become particularly large at intermediate diradical character. This behavior depends not only on open-shell character but also on the energies of relevant electronic states and the transition moments connecting them. Understanding nonlinear optical responses therefore requires consideration of how these factors are related.

3. From Electronic-structure Understanding to Molecular Design

A central challenge is to connect knowledge from theoretical models with the behavior and design of real molecules. For example, closely related regioisomers can exhibit pronounced differences in open-shell character and magnetic properties. This demonstrates the importance of how electrons interact through molecular connectivity, beyond molecular size alone.

We seek to connect theoretical analysis with experimental findings and interpret electronic structures through chemical concepts such as bonding and conjugation. This understanding provides a basis for exploring new possibilities in molecular design.

SOURCE ACCESS

Selected Publications

  1. 2005International Collaboration

    Second hyperpolarizability (γ) of singlet diradical system: Dependence of γ on the diradical character

    Masayoshi Nakano*; Ryohei Kishi; Tomoshige Nitta; Takashi Kubo; Kazuhiro Nakasuji; Kenji Kamada; Koji Ohta; Benoît Champagne; Edith Botek; Kizashi Yamaguchi

    The Journal of Physical Chemistry A 109(5), 885–891

    DOI: 10.1021/jp046322x
  2. 2006International Collaboration

    Origin of the enhancement of the second hyperpolarizability of singlet diradical systems with intermediate diradical character

    Masayoshi Nakano*; Ryohei Kishi; Suguru Ohta; Akihito Takebe; Hideaki Takahashi; Shin-ichi Furukawa; Takashi Kubo; Yasushi Morita; Kazuhiro Nakasuji; Kizashi Yamaguchi; Kenji Kamada; Koji Ohta; Benoît Champagne; Edith Botek

    The Journal of Chemical Physics 125(7), 074113

    DOI: 10.1063/1.2213974
  3. 2007International Collaboration

    Relationship between third-order nonlinear optical properties and magnetic interactions in open-shell systems: A new paradigm for nonlinear optics

    Masayoshi Nakano*; Ryohei Kishi; Suguru Ohta; Hideaki Takahashi; Takashi Kubo; Kenji Kamada; Koji Ohta; Edith Botek; Benoit Champagne

    Physical Review Letters 99(3), 033001

    DOI: 10.1103/physrevlett.99.033001
  4. 2013

    Theoretical Study on the Electronic Structure and Third-Order Nonlinear Optical Properties of Open-Shell Quinoidal Oligothiophenes

    Ryohei Kishi*; Misha Dennis; Kotaro Fukuda; Yusuke Murata; Keisuke Morita; Hideki Uenaka; Masayoshi Nakano*

    The Journal of Physical Chemistry C 117(41), 21498–21508

    DOI: 10.1021/jp407482h
  5. 2016

    Diradical Character Tuning for the Third-Order Nonlinear Optical Properties of Quinoidal Oligothiophenes by Introducing Thiophene-S,S-dioxide Rings

    Ryohei Kishi*; Shoki Ochi; Shioh Izumi; Akihiro Makino; Takanori Nagami; Jun‐ya Fujiyoshi; Naoyuki Matsushita; Michika Saito; Masayoshi Nakano*

    Chemistry – A European Journal 22(4), 1493–1500

    DOI: 10.1002/chem.201503705
  6. 2017

    Third-Order Nonlinear Optical Properties of One-Dimensional Quinoidal Oligothiophene Derivatives Involving Phenoxyl Groups

    Ryohei Kishi*; Tsubasa Katsurayama; Shoki Ochi; Akihiro Makino; Naoyuki Matsushita; Michika Saito; Takanori Nagami; Jun‐ya Fujiyoshi; Masayoshi Nakano*

    ChemistryOpen 6(4), 506–513

    DOI: 10.1002/open.201700083
  7. 2018International Collaboration

    Thiophene and its sulfur inhibit indenoindenodibenzothiophene diradicals from low-energy lying thermal triplets

    Justin J. Dressler; Mitsuru Teraoka; Guzmán L. Espejo; Ryohei Kishi; Shota Takamuku; Carlos J. Gómez-García; Lev N. Zakharov; Masayoshi Nakano*; Juan Casado*; Michael M. Haley*

    Nature Chemistry 10(11), 1134–1140

    DOI: 10.1038/s41557-018-0133-5
  8. 2020International Collaboration

    Molecule Isomerism Modulates the Diradical Properties of Stable Singlet Diradicaloids

    Joshua E. Barker; Justin J. Dressler; Abel Cárdenas Valdivia; Ryohei Kishi; Eric T. Strand; Lev N. Zakharov; Samantha N. MacMillan; Carlos J. Gómez-García; Masayoshi Nakano*; Juan Casado*; Michael M. Haley*

    Journal of the American Chemical Society 142(3), 1548–1555

    DOI: 10.1021/jacs.9b11898
  9. 2025

    Synthesis and Characterization of Cycloocta[1,2‑a:6,5‑a′]diindene as an Octagon-Containing Nonalternant Isomer of Pentacyclic Benzenoid Aromatic Hydrocarbons with Hidden Diradical Character That Induces Dimerization

    Akihito Konishi*; Haruka Tokuyama; Hinaki Kitamura; Seiya Tsuchida; Mitsuharu Suzuki; Ken-ichi Nakayama; Ryohei Kishi*; Makoto Yasuda*

    Journal of the American Chemical Society 147(20), 17281–17292

    DOI: 10.1021/jacs.5c03615
  10. 2026

    Diphenoquinone as a Prototype of Singlet Fission Chromophores

    Kenji Okada*; Ren-ya Kurata; Kohei Tada; Ryohei Kishi*; Yasutaka Kitagawa

    The Journal of Physical Chemistry A 130(2), 477–489

    DOI: 10.1021/acs.jpca.5c07396