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A scaling law for molecular hyperpolarizabilities is derived and is shown to describe accurately the measured hyperpolarizabilities for an assortment of small atoms and molecules. Scaling laws for third-order susceptibilities are important in guiding efforts to develop better nonlinear-optical materials. Usually these scaling laws are derived by considerationdoi:10.1364/josab.6.000830 fatcat:ds67zzfxcbhrrhpklay6txxf4u