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The symmetry energy coefficients, incompressibility, and single-particle andisovector potentials of clusterized dilute nuclear matter are calculated atdifferent temperatures employing the $S$-matrix approach to the evaluation ofthe equation of state. Calculations have been extended to understand theaforesaid properties of homogeneous and clusterized supernova matter in thesubnuclear density region. Comparison of the results in the $S$-matrix andmean-field approach reveals some subtle differences in the density andtemperature region we explore.

Symmetry coefficients and incompressibility of clusterized supernova matter