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. 2020 Jun 10;124(27):14881–14890. doi: 10.1021/acs.jpcc.0c03203

Table 1. Estimated Scaling Exponents of MD (γMD) and MSD (γMSD) According to eq 3 for q = 1 and q = 2, Respectively, and of Variance, (γ), According to eq 1a.

  S10_NP_B
S10_NP_C
S10_NP_D
S11_NP_C
S6_NP_A
  x y x y x y x y x y
γMD 0.494 0.660 0.489 0.558 0.551 0.549 0.652 0.491 0.474 0.589
γMSD 0.712 1.084 0.819 0.979 0.834 0.886 1.155 0.696 0.843 0.993
Γ 0.488 0.891 0.677 0.851 0.552 0.713 0.982 0.380 0.727 0.790
zxi(q = 2) 0.583 0.778 0.501 0.629 0.577 0.574 0.649 0.515 0.447 0.583
graphic file with name jp0c03203_m008.jpg
0.855 0.874 0.852 0.858 0.893 0.860 0.905 0.975 1.00 0.86
  S6_NP_E
S6_NP_F
S3_NP_A
S3_NP_E
  x y x y x y x y
γMD 0.495 0.479 0.725 0.730 0.552 0.528 0.558 0.524
γMSD 0.708 0.770 1.185 1.228 1.054 0.969 1.070 0.961
Γ 0.466 0.573 0.958 1.083 0.986 0.846 1.016 0.853
zxi(q = 2) 0.504 0.487 0.753 0.683 0.581 0.640 0.580 0.548
graphic file with name jp0c03203_m009.jpg
0.787 0.739 1.216 1.206 1.02 0.975 0.988 1.015
a

Obtained correlation coefficients for q = 2 of translational and rotational movements, namely, zx,y(q = 2), zx(q = 2), zy(q = 2). Correlation coefficients have been obtained by use of eq 5.