The characterisation of irregularly-shaped particles. A re-consideration of finite-sized, "porous" and "fractal" grains

Astronomy and Astrophysics – Astrophysics

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Dust, Extinction

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Context. A porous and/or fractal description can generally be applied where particles have undergone coagulation into aggregates. Aims: To characterise finite-sized, "porous" and "fractal" particles and to understand the possible limitations of these descriptions. Methods: We use simple structure, lattice and network considerations to determine the structural properties of irregular particles. Results: We find that, for finite-sized aggregates, the terms porosity and fractal dimension may be of limited usefulness and show with some critical and limiting assumptions, that "highly-porous" aggregates (porosity ≳80%) may not be "constructable". We also investigate their effective cross-sections using a simple "cubic" model. Conclusions: In place of the terms porosity and fractal dimension, for finite-sized aggregates, we propose the readily-determinable quantities of inflation, I (a measure of the solid filling factor and size), and dimensionality, D (a measure of the shape). These terms can be applied to characterise any form of particle, be it an irregular, homogeneous solid or a highly-extended aggregate.

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