The third-order susceptibilities of various concentrations of TOPO-passivated CdS nanocrystals (NCs) with the size near the Bohr radius were investigated using polarization-resolved degenerate four-wave mixing (DFWM) in a nonresonant excitation region with 532 nm wavelength and 8 ns pulse width. The second hyperpolarizabilities <γ In the past decade, linear and nonlinear applications of the colloidal semiconductor NCs have been investigated such as optical amplifiers, quantum dot LEDs, full color displays, all optical switches, spacecraft crack indicators, biomedical sensors, saturable absorbers, and optical power limiters.In this article, we present the third-order optical nonlinearities and hyperpolarizabilities of CdS NCs as a function of the concentrations of NCs using polarization-resolved degenerate four-wave mixing (DFWM). The polarization-resolved DFWM involves the comparison of the parallel polarized DFWM and the perpendicularly polarized DFWM, and is usually used to measure different χ