This value is important for recalculation of intensity size particle distribution on volume size particle distribution in dynamic light scattering. The only method I know, that can be used, is ellipsometry. Does anyone have another idea?
Depending on the size and material of your particles, you may want to experiment with varying the RI over a range that would probably encompass your sample, and see if there is a significant dependence. There may not be, in which case the selection of RI becomes a trivial issue. Start with the published bulk values easily found in the literature or in compilations of optical constants.
You may disperse your particles in a range of nonswelling liquids or mixtures of known refractive index and determine the composition where the refractive index is matched, i.e. no turbidity. The liquids should also be good wetting because entrapped air will increase turbidity.