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Ab initio analytic polarizability, first and second hyperpolarizabilities of large conjugated organic molecules: Applications to polyenes C4H6 to C22H24

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TLDR
In this article, the static dipole polarizability and second hyperpolarizability tensors are calculated for polyene systems via ab initio coupled-perturbed Hartree-Fock theory.
Abstract
The static dipole polarizability and second hyperpolarizability tensors are calculated for polyene systems via ab initio coupled‐perturbed Hartree–Fock theory. The effect of basis set augmentation on the calculated properties is explored for C4H6 and example basis sets are used to calculate the polarizability and second hyperpolarizability for the longer polyenes: C6H8, C8H10, C10H12, C12H14, C14H16,C16H18, C18H20, C20H22, C22H24. Results for the finite polyenes are extrapolated to predict the unit‐cell polarizability and second hyperpolarizability of infinite polyacetylene. The working equations which take advantage of the 2n+1 theorem of perturbation theory for calculating up to the second hyperpolarizability are given, and their implementation is briefly discussed. In particular it is shown that the implementation is readily amenable to parallel processing.

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Citations
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Quantum-mechanical condensed matter simulations with CRYSTAL

TL;DR: The Crystal program as discussed by the authors adopts atom-centered Gaussian-type functions as a basis set, which makes it possible to perform all-electron as well as pseudopotential calculations.
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Assessment of Conventional Density Functional Schemes for Computing the Dipole Moment and (Hyper)polarizabilities of Push−Pull π-Conjugated Systems†

TL;DR: In this paper, it was shown that the C functional has negligible effect on the calculated dipole moment (μ), α, β, and γ whereas the X-part is responsible for the large property overestimations when the size of the system increases.
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Assessment of Conventional Density Functional Schemes for Computing the Polarizabilities and Hyperpolarizabilities of Conjugated Oligomers: An Ab Initio Investigation of Polyacetylene Chains

TL;DR: In this paper, the authors describe the shortsightedness of the XC potentials which are relatively insensitive to the polarization charge induced by the external electric field at the chain ends, and show that the overestimations are not related to the asymptotic behavior of the potential.
Journal ArticleDOI

Organic Materials for Third‐Order Nonlinear Optics

TL;DR: The current status of organic low-molecular weight and polymeric materials for third-order nonlinear optics is reviewed in this paper, where the importance of organic materials lies in their promise of large nonlinear optical figure of merit, high optical damage thresholds, ultrafast optical responses, architectural flexibility, and ease of fabrication.
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Frequency dependent nonlinear optical properties of molecules: formulation and implementation in the HONDO program

TL;DR: In this article, the detailed equations for the time-dependent Hartree-Fock treatment of nonlinear properties for perturbations made up of a static electric field and an oscillating field are summarized.
References
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Journal ArticleDOI

Self‐Consistent Molecular‐Orbital Methods. IX. An Extended Gaussian‐Type Basis for Molecular‐Orbital Studies of Organic Molecules

TL;DR: In this article, an extended basis set of atomic functions expressed as fixed linear combinations of Gaussian functions is presented for hydrogen and the first row atoms carbon to fluorine, where each inner shell is represented by a single basis function taken as a sum of four Gaussians and each valence orbital is split into inner and outer parts described by three and one Gaussian function, respectively.
Journal ArticleDOI

Self‐Consistent Molecular‐Orbital Methods. I. Use of Gaussian Expansions of Slater‐Type Atomic Orbitals

TL;DR: In this article, a least square representation of Slater-type atomic orbitals as a sum of Gaussian-type orbitals is presented, where common Gaussian exponents are shared between Slater−type 2s and 2p functions.
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Basis Set Selection for Molecular Calculations

TL;DR: In this article, the authors consider the problem of finding a set of functions which is flexible enough to produce 'good' results over a wide range of molecular geometries and is still small enough to leave the problem computationally tractible and economically within reason.
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