### 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 C_{4}H_{6} and example basis sets are used to calculate the polarizability and second hyperpolarizability for the longer polyenes: C_{6}H8, C_{8}H_{10}, C_{10}H _{12}, C_{12}H_{14}, C_{14}H_{16},C _{16}H_{18}, C_{18}H_{20}, C_{20}H _{22}, C_{22}H_{24}. 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.

Original language | English |
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Pages (from-to) | 385-395 |

Number of pages | 11 |

Journal | Journal of Chemical Physics |

Volume | 89 |

Issue number | 1 |

Publication status | Published - 1988 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Chemical Physics*,

*89*(1), 385-395.

**Ab initio analytic polarizability, first and second hyperpolarizabilities of large conjugated organic molecules : Applications to polyenes C 4H6 to C22H24.** / Hurst, Graham J B; Dupuis, Michel; Clementi, Enrico.

Research output: Contribution to journal › Article

*Journal of Chemical Physics*, vol. 89, no. 1, pp. 385-395.

}

TY - JOUR

T1 - Ab initio analytic polarizability, first and second hyperpolarizabilities of large conjugated organic molecules

T2 - Applications to polyenes C 4H6 to C22H24

AU - Hurst, Graham J B

AU - Dupuis, Michel

AU - Clementi, Enrico

PY - 1988

Y1 - 1988

N2 - 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, C10H 12, C12H14, C14H16,C 16H18, C18H20, C20H 22, 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.

AB - 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, C10H 12, C12H14, C14H16,C 16H18, C18H20, C20H 22, 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.

UR - http://www.scopus.com/inward/record.url?scp=36549091613&partnerID=8YFLogxK

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M3 - Article

VL - 89

SP - 385

EP - 395

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 1

ER -