Scaling law for molecular hyperpolarizabilities
نویسنده
چکیده
Scaling laws for third-order susceptibilities are important in guiding efforts to develop better nonlinear-optical materials. Usually these scaling laws are derived by consideration of simplified model systems chosen for analytic or computational tractability, and they are mostly untested by experiment.'3 Here we derive a scaling law based on an essentially exact solution for the hyperpolarizability of a real system, the hydrogen atom.4 Then we test this scaling law with measurements for a range of atoms and molecules. For the hydrogen atom the dispersion of the hyperpolarizability y(-vP; V1, v2, V3) frequencies well below resonance is accurately represented by a power series in vL 2 = va2 + vi2
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