# Experimental and theoretical investigation of the first-order hyperpolarizability of a class of triarylamine derivatives

## Abstract

This paper reports on the static and dynamic first-order hyperpolarizabilities of a class of push-pull octupolar triarylamine derivatives dissolved in toluene. We have combined hyper-Rayleigh scattering experiment and the coupled perturbed Hartree-Fock method implemented at the Density Functional Theory (DFT) level of theory to determine the static and dynamic (at 1064 nm) first-order hyperpolarizability (β{sub HRS}) of nine triarylamine derivatives with distinct electron-withdrawing groups. In four of these derivatives, an azoaromatic unit is inserted and a pronounceable increase of the first-order hyperpolarizability is reported. Based on the theoretical results, the dipolar/octupolar character of the derivatives is determined. By using a polarizable continuum model in combination with the DFT calculations, it was found that although solvated in an aprotic and low dielectric constant solvent, due to solvent-induced polarization and the frequency dispersion effect, the environment substantially affects the first-order hyperpolarizability of all derivatives investigated. This statement is supported due to the solvent effects to be essential for the better agreement between theoretical results and experimental data concerning the dynamic first-order hyperpolarizability of the derivatives. The first-order hyperpolarizability of the derivatives was also modeled using the two- and three-level models, where the relationship between static and dynamic first hyperpolarizabilities is given bymore »

- Authors:

- Departamento de Ciências da Natureza, Matemática e Educação, Universidade Federal de São Carlos, Rod. Anhanguera–Km 174, 13600-970 Araras, SP (Brazil)
- (Brazil)
- Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP (Brazil)
- Instituto de Ciência de Tecnologia, Universidade Federal de Alfenas, Cidade Universitária - BR 267 Km 533, 37715-400 Poços de Caldas, MG (Brazil)
- CEISAM–UMR CNRS 6230, Université de Nantes, 2 rue de la Houssinière, 44322 Nantes (France)
- Instituto de Física, Universidade de São Paulo, CP 66318, 05314-970 São Paulo, SP (Brazil)

- Publication Date:

- OSTI Identifier:
- 22416113

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Chemical Physics; Journal Volume: 142; Journal Issue: 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; ARYLATION; DENSITY FUNCTIONAL METHOD; ELECTRONS; HARTREE-FOCK METHOD; PERMITTIVITY; POLARIZATION; RAYLEIGH SCATTERING; SOLVENTS; TOLUENE

### Citation Formats

```
Silva, Daniel L., E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br, Instituto de Física, Universidade de São Paulo, CP 66318, 05314-970 São Paulo, SP, Fonseca, Ruben D., Mendonca, Cleber R., De Boni, Leonardo, E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br, Vivas, Marcelo G., Ishow, E., and Canuto, Sylvio.
```*Experimental and theoretical investigation of the first-order hyperpolarizability of a class of triarylamine derivatives*. United States: N. p., 2015.
Web. doi:10.1063/1.4906893.

```
Silva, Daniel L., E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br, Instituto de Física, Universidade de São Paulo, CP 66318, 05314-970 São Paulo, SP, Fonseca, Ruben D., Mendonca, Cleber R., De Boni, Leonardo, E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br, Vivas, Marcelo G., Ishow, E., & Canuto, Sylvio.
```*Experimental and theoretical investigation of the first-order hyperpolarizability of a class of triarylamine derivatives*. United States. doi:10.1063/1.4906893.

```
Silva, Daniel L., E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br, Instituto de Física, Universidade de São Paulo, CP 66318, 05314-970 São Paulo, SP, Fonseca, Ruben D., Mendonca, Cleber R., De Boni, Leonardo, E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br, Vivas, Marcelo G., Ishow, E., and Canuto, Sylvio. Sat .
"Experimental and theoretical investigation of the first-order hyperpolarizability of a class of triarylamine derivatives". United States.
doi:10.1063/1.4906893.
```

```
@article{osti_22416113,
```

title = {Experimental and theoretical investigation of the first-order hyperpolarizability of a class of triarylamine derivatives},

author = {Silva, Daniel L., E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br and Instituto de Física, Universidade de São Paulo, CP 66318, 05314-970 São Paulo, SP and Fonseca, Ruben D. and Mendonca, Cleber R. and De Boni, Leonardo, E-mail: dlsilva.physics@gmail.com, E-mail: deboni@ifsc.usp.br and Vivas, Marcelo G. and Ishow, E. and Canuto, Sylvio},

abstractNote = {This paper reports on the static and dynamic first-order hyperpolarizabilities of a class of push-pull octupolar triarylamine derivatives dissolved in toluene. We have combined hyper-Rayleigh scattering experiment and the coupled perturbed Hartree-Fock method implemented at the Density Functional Theory (DFT) level of theory to determine the static and dynamic (at 1064 nm) first-order hyperpolarizability (β{sub HRS}) of nine triarylamine derivatives with distinct electron-withdrawing groups. In four of these derivatives, an azoaromatic unit is inserted and a pronounceable increase of the first-order hyperpolarizability is reported. Based on the theoretical results, the dipolar/octupolar character of the derivatives is determined. By using a polarizable continuum model in combination with the DFT calculations, it was found that although solvated in an aprotic and low dielectric constant solvent, due to solvent-induced polarization and the frequency dispersion effect, the environment substantially affects the first-order hyperpolarizability of all derivatives investigated. This statement is supported due to the solvent effects to be essential for the better agreement between theoretical results and experimental data concerning the dynamic first-order hyperpolarizability of the derivatives. The first-order hyperpolarizability of the derivatives was also modeled using the two- and three-level models, where the relationship between static and dynamic first hyperpolarizabilities is given by a frequency dispersion model. Using this approach, it was verified that the dynamic first hyperpolarizability of the derivatives is satisfactorily reproduced by the two-level model and that, in the case of the derivatives with an azoaromatic unit, the use of a damped few-level model is essential for, considering also the molecular size of such derivatives, a good quantitative agreement between theoretical results and experimental data to be observed.},

doi = {10.1063/1.4906893},

journal = {Journal of Chemical Physics},

number = 6,

volume = 142,

place = {United States},

year = {Sat Feb 14 00:00:00 EST 2015},

month = {Sat Feb 14 00:00:00 EST 2015}

}