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. Author manuscript; available in PMC: 2016 May 12.
Published in final edited form as: Ind Eng Chem Res. 2015 Jan 26;54(16):4043–4059. doi: 10.1021/ie504452j

Table 1.

Critical ARs and wrapping time dependence on particle volume. (A) gives the spherical radius; particle volume is held constant for each row. Column (B) provides the AR for which complete wrapping requires minimal time, column (C) gives the fastest half wrapping time of internalization, (D) provides the lower critical AR, and (E) gives the upper critical AR.90 Reproduced with permission from reference #90. Copyright 2008 Elsevier.

A B C D E
Rs [nm] Γ 0.5τw [s] Γ 'cr Γ 'cr
38.35
(=Rmin)
1 1 1
50 1.055 42.48 0.84 1.19
75 1.001 95.3 0.64 1.56
100 1.003 169.45 0.53 1.89
150 1 381.15 0.4 2.48
300 0.996 1524.6 0.25 3.94
500 1 4235 0.18 5.54