### 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 | The Journal of Chemical Physics |

Volume | 89 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1988 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

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## Cite this

_{4}H

_{6}to C

_{22}H

_{24}.

*The Journal of Chemical Physics*,

*89*(1), 385-395. https://doi.org/10.1063/1.455480