Quantitative Analysis of Hierarchical Pores in Powder Compact

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Abstract
Theoretical analysis on the pore structure in a powder compact was made with an F. C. C. model of hierarchically clustered spherical particles. The derived theory can reveal the pore volume and pore size distribution of 1st generation pores (contained within clusters of primary particles) and 2nd or 3rd generation pores (contained among the 1st or 2nd generation particle clusters). The calculated results concluded that reduction in the size of particle cluster leads to the formation of a sinterable green compact with a narrow pore size distribution of small average size and high packing density. The derived concept on the pore structure was compared with the pore size distributions of the green compacts consolidated by filtration of colloidal suspensions of spherical mullite particles (average size 65nm). A good agreement was recognized between the theoretical prediction and experimental results.

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