Molecular spacing

M = moles/L, S = nm

S = 1.19M-1/3
M = 1.69S-3

water dimensions = 300 pm x 300 pm x 350 pm, mean diameter 316 pm
agb dimensions = 400 pm x 600 pm x 1200 pm, mean diameter 733 pm
IgG dimensions = 2 nm x 7 nm x 10 nm

conc Spacing, S Corrected
Spacing, Sc
Accuracy, Sc/S Epitopes/µm2 Particles/µm2
at 4% efficiency
1 pM 11.8 µm 11.8 µm 1 0.007 0.0003
3 pM 8.21 µm 8.21 µm 1 0.015 0.0006
10 pM 5.50 µm 5.50 µm 1 0.033 0.0013
30 pM 3.81 µm 3.81 µm 1 0.069 0.0028
100 pM 2.55 µm 2.55 µm 1 0.154 0.0061
300 pM 1.77 µm 1.77 µm 1 0.320 0.013
1 nM 1.18 µm 1.18 µm 1 0.713 0.029
3 nM 821 nm 821 nm 1 1.483 0.059
10 nM 550 nm 550 nm 1 3.309 0.132
30 nM 381 nm 381 nm 1 6.884 0.275
100 nM 255 nm 255 nm 1 15 0.614
300 nM 177 nm 177 nm 1 32 1.28
1 µM 118 nm 118 nm 1 71 2.85
3 µM 82.1 nm 82.1 nm 1 148 5.93
10 µM 55.0 nm 55.0 nm 1 330 13.2
30 µM 38.1 nm 38.1 nm 1 688 27.5
100 µM 25.5 nm 25.5 nm 0.999 1536 61.4
300 µM 17.7 nm 17.7 nm 0.998 3195 128
1 mM 11.8 nm 11.8 nm 0.996 7130 285
3 mM 8.21 nm 8.15 nm 0.993 14830 593
10 mM 5.50 nm 5.41 nm 0.983 33093 1324
30 mM 3.81 nm 3.68 nm 0.965 68835 2753
100 mM 2.55 nm 2.35 nm 0.920 153602 6144
300 mM 1.77 nm 1.46 nm 0.825 319506 12780
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