Related Experiment Video
Updated: May 23, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Development of calculation and analysis methods for the dynamic first hyperpolarizability based on the ab initio
Ryohei Kishi1, Hiroaki Fujii, Shingo Kishimoto
1Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan. rkishi@cheng.es.osaka-u.ac.jp
We developed new methods to calculate molecular nonlinear optical properties, specifically dynamic first hyperpolarizabilities (β), for second-harmonic generation. These methods accurately model structure-property relationships in molecules.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Nonlinear Optics
Background:
- Dynamic first hyperpolarizabilities (β) are crucial molecular-level second-order nonlinear optical (NLO) properties.
- Understanding these properties is key for designing advanced optical materials.
Purpose of the Study:
- To develop and validate novel computational methods for calculating dynamic β.
- To analyze electron contributions and establish structure-property relationships for NLO materials.
Main Methods:
- Utilized the quantum master equation method combined with ab initio molecular orbital (MO) configuration interaction.
- Applied these methods to calculate off-resonant dynamic β for substituted benzenes.
- Analyzed dynamic β density and MO contributions to electron spatial distribution.
Main Results:
- The developed methods accurately reproduce dynamic β values compared to the conventional summation-over-states method.
- Successfully evaluated off-resonant dynamic β for donor/acceptor-substituted benzenes.
- Provided insights into electron spatial contributions to dynamic β.
Conclusions:
- The novel methods offer an advantage in unraveling the mechanisms of dynamic NLO properties.
- These methods facilitate the establishment of structure-dynamic NLO property relationships for practical molecular design.
Related Concept Videos
Molecular Orbital Theory I
MO Theory and Covalent Bonding
Calculations of Electric Potential II
Consider a...
Molecular Orbital Theory II
Calculation of First Law Quantities I
Hückel's Rule Diagram of π MOs: Frost Circle
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so that...

