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Figure 13
Relation between the distribution of centers of nanoparticles and their Patterson functions. `Occupancy' on the vertical axis means the average volume ratio occupied by nanoparticles at the position whose distance from a reference nanoparticle is `Distance'. (a) When the nanoparticles are distributed completely randomly, the Patterson function is constant. The area labeled `O' corresponds to overlapping spheres. (b) When the nanoparticles are distributed randomly but do not overlap each other, the area labeled `O' in (a) moves to the area `X'. The area `X' corresponds to spheres in contact with each other. (c) When the nanoparticles form secondary particles, the Patterson function decreases with increasing distance.

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