The chord length distribution of a dumbbell shaped aggregate: Analytical expression

• Chord length distributions for dumbbell shaped aggregates are exactly calculated.
• Distributions are expressed as a function of the distance between sphere centers.
• Calculations are successfully compared with Monte-Carlo simulations.

Dumbbell shaped aggregates are small particles synthesized in precipitation reactors. Their characterization by optical methods needs the chord length distribution (CLD) of such a shape. We present in this paper the analytical calculation of two CLDs corresponding to two different definitions of CLD. Comparison with Monte-Carlo simulations is presented. Good agreement is found between the exact calculation and simulations.

Dumbbell shaped aggregates are small particles synthesized in precipitation reactors. Their characterization by several optical methods needs the chord length distribution (CLD). The analytical calculation of the corresponding CLDs is performed.Figure optionsDownload as PowerPoint slide