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It is shown that quantitative information on spatial correlations in a systemof polarizable particles can be extracted directly from its experimentallymeasurable optical spectra. For a collection of metallic nanoparticles (NPs),it is demonstrated that the degree of short-range correlation in NP's positionscan be evaluated by an appropriate numerical analysis of the extinctionspectrum in the surface plasmon resonance region, given the polarizability ofan individual NP. The spectrum analysis consists in the evaluation of a singlenumber, which is the derivative of the ensemble response function in thevanishing polarizability limit, to be compared to pre-calculated values for amodel NP system with given density and correlation parameters.

Probing spatial correlations in a system of polarizable particles via measuring its optical extinction spectrum