Morphological Parameters of Fractal Aggregates

Aggregation within the RLCA regime results in a power-law-shaped CMD with exponential cut-off (van Dongen and Ernst 1985)  

Differences between Xp and Xp,mean indicate some kind of correlation between the average particle size Xp av and the aggregation number N(k). 

For clusters of infinitely small particles (a r ), Eq. (4.14) transmutes into two 

This particle-centre-based radius of gyration R is the rms of the particle distance 

According to Eqs. (4.15) and (4.16), the centre-based radius of gyration R would be zero for A = 1. This is because ignores the spatial extension of the primary particles. The total radius of gyration is  

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