Third-order hyperpolarizability γ in nonlinear optics

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third-order hyperpolarizability "γ" in nonlinear optics

In nonlinear optics third-order hyperpolarizability of molecules "γ" is often measured by THG(third-harmonic generation) experiments.
So third-order nonlinear susceptibility "X(3)" could be calculated from formula using the value of "γ".
Note that third-order nonlinear susceptibility "X(3)" is the complex number.
However in stimulated raman scattering experiments, the gain coefficient "g" is proportion of the imaginary part of X(3).
My question is :
If third-order hyperpolarizability of molecules "γ" is obtained by THG method, can this value("γ" ) be used to calculate the gain coefficient "g" from stimulated raman scattering formula?
or
Is third-order nonlinear susceptibility "X(3)" calculated using the value of third-order hyperpolarizability "γ" by THG method the same with the one used in stimulated raman gain coefficient formula?
 
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if the THG signal is close to the resonance absorption-band of some material , the third-order nonlinear susceptibility "X(3)" will become enhanced.

Then for the same material , in stimulated Raman experiments, if the laser frequency is also close to its resonance absorption-band (stimulated resonance Raman scattering), can the third-order nonlinear susceptibility "X(3)" of this material be enhanced?

For cases mentioned above , May third-order nonlinear susceptibilities "X(3)" from the two experiments be the same?or be approximate?
 
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