Nonlinear Optical Properties of the Linear Quadrupolar Molecule: Structure-Function Relationship Based on a Three-State Model

Sangjoon Hahn, Dongho Kim, Minhaeng Cho

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

Theoretical descriptions of the molecular polarizability and second hyperpolarizability (α and γ) of the linear quadrupolar molecule are presented. By using a valence-bond and two charge-transfer states, three eigenfunctions of a quadrupolar molecule are obtained as linear combinations of these basis states. The analytic expressions for α and γ are obtained, and the physical picture on the nonlinear optical (NLO) response of the quadrupolar molecule is presented. By introducing the bond-length-alternation coordinates into the model Hamiltonian, the relationships of various vibrational characteristics, such as IR, Raman, and hyper-Raman intensities and vibrational frequencies, with respect to the molecular structure are established. The vibrational second hyperpolarizability is also compared with the electronic one, and the two quantities show similar trends as the charge-transfer character changes. A number of distinctive features are discussed by comparing the results with those of the linear push-pull polyene. The NLO properties of a series of quadrupolar molecules are calculated by using the ab initio method, and also a few more examples of quadrupolar molecules are suggested.

Original languageEnglish
Pages (from-to)8221-8229
Number of pages9
JournalJournal of Physical Chemistry B
Volume103
Issue number39
Publication statusPublished - 1999 Sep 30

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Optical properties
optical properties
Molecules
molecules
Charge transfer
charge transfer
Polyenes
Hamiltonians
alternations
Bond length
Vibrational spectra
Eigenvalues and eigenfunctions
Molecular structure
eigenvectors
molecular structure
valence
trends
electronics

All Science Journal Classification (ASJC) codes

  • Physical and Theoretical Chemistry
  • Surfaces, Coatings and Films
  • Materials Chemistry

Cite this

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Nonlinear Optical Properties of the Linear Quadrupolar Molecule : Structure-Function Relationship Based on a Three-State Model. / Hahn, Sangjoon; Kim, Dongho; Cho, Minhaeng.

In: Journal of Physical Chemistry B, Vol. 103, No. 39, 30.09.1999, p. 8221-8229.

Research output: Contribution to journalArticle

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PY - 1999/9/30

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N2 - Theoretical descriptions of the molecular polarizability and second hyperpolarizability (α and γ) of the linear quadrupolar molecule are presented. By using a valence-bond and two charge-transfer states, three eigenfunctions of a quadrupolar molecule are obtained as linear combinations of these basis states. The analytic expressions for α and γ are obtained, and the physical picture on the nonlinear optical (NLO) response of the quadrupolar molecule is presented. By introducing the bond-length-alternation coordinates into the model Hamiltonian, the relationships of various vibrational characteristics, such as IR, Raman, and hyper-Raman intensities and vibrational frequencies, with respect to the molecular structure are established. The vibrational second hyperpolarizability is also compared with the electronic one, and the two quantities show similar trends as the charge-transfer character changes. A number of distinctive features are discussed by comparing the results with those of the linear push-pull polyene. The NLO properties of a series of quadrupolar molecules are calculated by using the ab initio method, and also a few more examples of quadrupolar molecules are suggested.

AB - Theoretical descriptions of the molecular polarizability and second hyperpolarizability (α and γ) of the linear quadrupolar molecule are presented. By using a valence-bond and two charge-transfer states, three eigenfunctions of a quadrupolar molecule are obtained as linear combinations of these basis states. The analytic expressions for α and γ are obtained, and the physical picture on the nonlinear optical (NLO) response of the quadrupolar molecule is presented. By introducing the bond-length-alternation coordinates into the model Hamiltonian, the relationships of various vibrational characteristics, such as IR, Raman, and hyper-Raman intensities and vibrational frequencies, with respect to the molecular structure are established. The vibrational second hyperpolarizability is also compared with the electronic one, and the two quantities show similar trends as the charge-transfer character changes. A number of distinctive features are discussed by comparing the results with those of the linear push-pull polyene. The NLO properties of a series of quadrupolar molecules are calculated by using the ab initio method, and also a few more examples of quadrupolar molecules are suggested.

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