Intrinsic hyperpolarizability in physics, mathematics and statistics, is a scale invariant quantity that can be used to compare molecules of different sizes. The intrinsic hyperpolarizability is defined as the hyperpolarizability divided by the Kuzyk Limit.[1] This quantity is scale invariant and thus is independent of the energy scale and number of electrons in a molecule that is being evaluated for its nonlinear optical response. Therefore, it can be used to compare molecules of different shapes and sizes.
The Intrinsic Hyperpolarizability can be used as a figure of merit for comparing molecules for their usefulness in electro-optics applications.