Elongation method and supermolecule approach for the calculation of nonlinear susceptibilities. Application to the 3-Methyl-4-Nitropyridine 1-Oxide and 2-Methyl-4-Nitroaniline crystals

Feng Long Gu, Maxime Guillaume, Edith Botek, Benoît Champagne, Frederic Castet, Laurent Ducasse, Yuriko Aoki

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    The linear and nonlinear optical properties of the 3-methyl-4-nitropyridine-1-oxyde (POM) and 2-methyl-4-nitroaniline (MNA) crystals are evaluated using the elongation method and the supermolecule approach. The elongation calculations adopt the finite field Hartree-Fock numerical scheme to get the static polarizability, first and second hyperpolarizabilities of large one-dimensional clusters, allowing a very accurate extrapolation of the crystal packing ratios to the infinite one-dimensional arrays. The supermolecule approach employs the analytical time-dependent Hartree-Fock scheme for evaluating the static and dynamic polarizability and first hyperpolarizabilities of smaller clusters. Most of the calculations are performed using the semiempirical AM1 Hamiltonian. Preliminary results are also carried out at the ab initio level using a minimal basis set. These polarizability and hyperpolarizability results are then used to estimate the effective (hyper)polarizabilities of the unit cell in the whole crystals and subsequently their linear and nonlinear susceptibilities. The inclusion of electron correlation effects is also discussed.

    Original languageEnglish
    Pages (from-to)171-188
    Number of pages18
    JournalJournal of Computational Methods in Sciences and Engineering
    Volume6
    Issue number1-4
    Publication statusPublished - Jan 1 2006

    Fingerprint

    Elongation
    Susceptibility
    Oxides
    Crystal
    Crystals
    Hamiltonians
    Electron correlations
    Extrapolation
    Optical Properties
    Numerical Scheme
    Packing
    Galois field
    Optical properties
    Inclusion
    Electron
    Unit
    Cell
    Estimate

    All Science Journal Classification (ASJC) codes

    • Engineering(all)
    • Computer Science Applications
    • Computational Mathematics

    Cite this

    Elongation method and supermolecule approach for the calculation of nonlinear susceptibilities. Application to the 3-Methyl-4-Nitropyridine 1-Oxide and 2-Methyl-4-Nitroaniline crystals. / Gu, Feng Long; Guillaume, Maxime; Botek, Edith; Champagne, Benoît; Castet, Frederic; Ducasse, Laurent; Aoki, Yuriko.

    In: Journal of Computational Methods in Sciences and Engineering, Vol. 6, No. 1-4, 01.01.2006, p. 171-188.

    Research output: Contribution to journalArticle

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    abstract = "The linear and nonlinear optical properties of the 3-methyl-4-nitropyridine-1-oxyde (POM) and 2-methyl-4-nitroaniline (MNA) crystals are evaluated using the elongation method and the supermolecule approach. The elongation calculations adopt the finite field Hartree-Fock numerical scheme to get the static polarizability, first and second hyperpolarizabilities of large one-dimensional clusters, allowing a very accurate extrapolation of the crystal packing ratios to the infinite one-dimensional arrays. The supermolecule approach employs the analytical time-dependent Hartree-Fock scheme for evaluating the static and dynamic polarizability and first hyperpolarizabilities of smaller clusters. Most of the calculations are performed using the semiempirical AM1 Hamiltonian. Preliminary results are also carried out at the ab initio level using a minimal basis set. These polarizability and hyperpolarizability results are then used to estimate the effective (hyper)polarizabilities of the unit cell in the whole crystals and subsequently their linear and nonlinear susceptibilities. The inclusion of electron correlation effects is also discussed.",
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    AU - Gu, Feng Long

    AU - Guillaume, Maxime

    AU - Botek, Edith

    AU - Champagne, Benoît

    AU - Castet, Frederic

    AU - Ducasse, Laurent

    AU - Aoki, Yuriko

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    N2 - The linear and nonlinear optical properties of the 3-methyl-4-nitropyridine-1-oxyde (POM) and 2-methyl-4-nitroaniline (MNA) crystals are evaluated using the elongation method and the supermolecule approach. The elongation calculations adopt the finite field Hartree-Fock numerical scheme to get the static polarizability, first and second hyperpolarizabilities of large one-dimensional clusters, allowing a very accurate extrapolation of the crystal packing ratios to the infinite one-dimensional arrays. The supermolecule approach employs the analytical time-dependent Hartree-Fock scheme for evaluating the static and dynamic polarizability and first hyperpolarizabilities of smaller clusters. Most of the calculations are performed using the semiempirical AM1 Hamiltonian. Preliminary results are also carried out at the ab initio level using a minimal basis set. These polarizability and hyperpolarizability results are then used to estimate the effective (hyper)polarizabilities of the unit cell in the whole crystals and subsequently their linear and nonlinear susceptibilities. The inclusion of electron correlation effects is also discussed.

    AB - The linear and nonlinear optical properties of the 3-methyl-4-nitropyridine-1-oxyde (POM) and 2-methyl-4-nitroaniline (MNA) crystals are evaluated using the elongation method and the supermolecule approach. The elongation calculations adopt the finite field Hartree-Fock numerical scheme to get the static polarizability, first and second hyperpolarizabilities of large one-dimensional clusters, allowing a very accurate extrapolation of the crystal packing ratios to the infinite one-dimensional arrays. The supermolecule approach employs the analytical time-dependent Hartree-Fock scheme for evaluating the static and dynamic polarizability and first hyperpolarizabilities of smaller clusters. Most of the calculations are performed using the semiempirical AM1 Hamiltonian. Preliminary results are also carried out at the ab initio level using a minimal basis set. These polarizability and hyperpolarizability results are then used to estimate the effective (hyper)polarizabilities of the unit cell in the whole crystals and subsequently their linear and nonlinear susceptibilities. The inclusion of electron correlation effects is also discussed.

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