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Computational Study on the Relationship between Charge Localization and Second Hyperpolarizability in Mixed-Valence

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Mixed-valence systems exhibiting symmetric resonance structures with invertible polarization (SRIP) show unusual negative second hyperpolarizability. This nonlinear optical response can be switched by redox stimuli near charge localization boundaries.

Keywords:
Robin–Day classificationmixed‐valencenonlinear opticsquantum chemical calculationsecond hyperpolarizability

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Area of Science:

  • Molecular Systems
  • Nonlinear Optics
  • Quantum Chemistry

Background:

  • Symmetric resonance structures with invertible polarization (SRIP) molecules exhibit unusual negative second hyperpolarizability.
  • Mixed-valence (MV) systems offer a new class of molecules with potential for tunable nonlinear optical properties.

Purpose of the Study:

  • To investigate the correlation between the Robin-Day classification of mixed-valence systems and their second hyperpolarizability (γ).
  • To explore the potential of mixed-valence systems as SRIP systems exhibiting negative second hyperpolarizability.

Main Methods:

  • Theoretical investigation of simple mixed-valence systems (e.g., He2·+, biaryl derivatives).
  • Analysis of the Robin-Day classification and its relationship to charge localization.
  • Calculation of second hyperpolarizability (γ) and its dependence on electronic structure.

Main Results:

  • Mixed-valence systems can function as SRIP systems, displaying negative second hyperpolarizability.
  • The absolute value of γ increases significantly, and its sign reverses near the Robin-Day class-II/III boundary, coinciding with charge localization.
  • Calculated γ values for MV systems are over 100 times larger in absolute value than in the neutral state near the charge localization boundary.

Conclusions:

  • The nonlinear optical response of materials can be effectively switched by redox stimuli in mixed-valence systems.
  • The Robin-Day classification provides insight into the electronic structure and nonlinear optical properties of mixed-valence systems.
  • Mixed-valence systems represent a promising platform for developing switchable nonlinear optical materials.