Nano-metering of Solvated Biomolecules Or Nanoparticles from Water Self-Diffusivity in Bio-inspired Nanopores

Table 1 Data employed for demonstrating the effectiveness of the proposed nano-metering protocol

MOL	d_P[nm]	d_p[nm]	\(n_{p}^{o}\)	D [m²/s]	θ ^∗	θ	V_tot[nm³]	δ_p[nm]	SAS_p[nm²]	δ_P[nm]	SAS_P[nm²]	\(n_{p}^{e}\)
IONP	8.13	1.97	4	1.91E–09	0.31	0.37	200.75	0.50	21.64	0.33	140.47	2.66
IONP	8.13	1.97	8	1.33E–09	0.57	0.85	180.90	0.50	21.64	0.33	140.47	10.06
IONP	8.13	1.27	16	1.46E–09	0.52	0.73	193.59	0.46	12.61	0.33	140.47	16.16
IONP	11.04	1.27	36	1.62E–09	0.44	0.59	351.63	0.46	12.61	0.33	194.00	24.47
IONP	11.04	1.97	20	1.37E–09	0.56	0.81	313.15	0.50	21.64	0.33	194.00	17.74
IONP	11.04	1.27	66	6.63E–10	0.88	2.09	300.98	0.46	12.61	0.33	194.00	97.30
1AKI	11.04	–	2	2.06E–09	0.24	0.28	375.71	0.32	67.36	0.33	194.00	1.95
1AKI	11.04	–	3	1.93E–09	0.30	0.36	357.35	0.32	67.36	0.33	194.00	3.08
1AKI	11.04	–	9	1.44E–09	0.52	0.74	247.23	0.32	67.36	0.33	194.00	5.66
1UBQ	11.04	–	7	1.96E–09	0.29	0.34	338.10	0.31	48.19	0.33	194.00	3.48
1UBQ	11.04	–	9	1.55E–09	0.47	0.64	316.87	0.31	48.19	0.33	194.00	9.38
1UBQ	11.04	–	12	1.38E–09	0.55	0.81	285.02	0.31	48.19	0.33	194.00	11.14

Data for the iron-oxide nanoparticles (IONP) have been taken from the supplementary information in [24], while those for proteins (1AKI and 1UBQ) have been computed for the present work. Notice that Eq. (1) has been applied considering D_C=0.39×10⁻⁹m²/s. \(n_{p}^{e}\) is the number of particles estimated using the proposed protocol; \(n_{p}^{o}\) the original (actual) number of particles in the simulated setups