This paper reports a systematic experimental and theoretical study of the second-order nonlinear
optical properties of multichromophoric molecules that range from dipolar symmetry to three-dimensional
octupolar symmetry. The four possible conformers of tetranitrotetrapropoxycalix[4]arene (cone, paco, 1,2-alt, 1,3-alt) were studied by nanosecond hyper-Rayleigh scattering and a newly developed time-resolved
femtosecond hyper-Rayleigh scattering technique. The latter enables to correct for long-lived fluorescence
contributions to the second harmonic scattering intensity. The depolarization ratios D
x/z
prove the (partial)
octupolar symmetry of the 1,2-alt and 1,3-alt conformers, and thus explain why their hyperpolarizabilities
βFHRS are of the same order of magnitude as those of the dipolar
cone and paco conformers. The corresponding
theoretical second-order nonlinear optical properties (both βFHRS and D
x/z
) were calculated using the
conformations obtained from single-crystal X-ray diffraction, molecular mechanics (MM), and molecular
dynamics (MD) calculations. In contrast with sum-over-state calculations presented in the literature, our
theoretical method takes also into account octupolar contributions by linearly adding the NLO-properties of
the separate chromophoric groups and using Bersohn's theory. The agreement between experimental and
theoretical results is good both for the conformers having dipolar symmetry and for the conformers having
(partly) three-dimensional octupolar symmetry. The 1,2-alt and 1,3-alt conformers of the tetranitrotetrapropoxycalix[4]arene represent the first examples of multichromophoric molecules that have high hyperpolarizabilities β
due to 3D octupolar symmetry.
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