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Figure 2

From: In depth characterisation of the biomolecular coronas of polymer coated inorganic nanoparticles with differential centrifugal sedimentation

Figure 2

NP sedimentation time as a function of shell density and thickness. (a) Shown colour-coded is the fold-change in sedimentation time on a logarithmic scale (white to blue: faster, white to red: slower) relative to the sedimentation time of a bare NP without the shell. The sedimentation time is plotted double-logarithmically versus shell density and shell thickness. It was calculated using Eq. (1) by inserting the total (core plus shell) NP diameter, as well as the effective NP density \(\rho_{eff}\) according to Eq. (2) (see “Methods” section). This plot uses normalised parameters in units \(\rho_{fl} = 1\) (left vertical dashed line), \(d_{c} = 1\), \(t\left( {d_{s} = 0} \right) = 1\), and it assumes \(\rho_{c} = 10\) (right vertical dashed line). The qualitative behaviour shown remains valid for all \(\rho_{c} > \rho_{fl}\). Indicated are also the critical shell density \(\rho_{crit}\) (middle vertical dashed line), as well as the maximum sedimentation time (red dashed line) for shell densities in the range \(\rho_{fl} < \rho_{s} < \rho_{crit}\). (b) For different values of shell densities in the range \(\rho_{fl} < \rho_{s}< \rho_{crit}\), the fold-change in sedimentation time increases and decreases as a function of the shell thickness. The red circles and dashed line represent the maximum sedimentation time for a certain shell density. Note that in theory two different shell thickness can give rise to the same fold change > 1, which is not a concern in the practical situation (blue curve) where the shell thickness never exceeds 2.5 times the core diameter. Image obtained with Matlab.

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