Table 5 Fit parameters of the synthetic curves obtained from CTRW trajectories.
From: A new perspective of molecular diffusion by nuclear magnetic resonance
\(\delta\) (s) | g (T/m) | Exact \(D_\alpha ({\text {m}}^2/{\text {s}}^{\alpha }]\) | Fitted \(D_\alpha [{\text {m}}^2/{\text {s}}^{\alpha }]\) | Exact \(\alpha\) | Fitted \(\alpha\) | \(D_\alpha\) error \((\%)\) | \(\alpha\) error \((\%)\) |
|---|---|---|---|---|---|---|---|
0.01 | 0.02 | \(2\times 10^{-9}\) | \(7.7751\times 10^{-10} \pm 6\times 10^{-14}\) | 0.5 | \(0.308098 \pm 1.90\times 10^{-4}\) | \(61.12\%\) | \(38.38\%\) |
0.02 | 0.02 | \(2\times 10^{-9}\) | \(4.3879\times 10^{-10} \pm 2.3\times 10^{-13}\) | 0.5 | \(0.114993 \pm 1.04 \times 10^{-4}\) | \(78.06\%\) | \(77\%\) |
0.03 | 0.02 | \(2\times 10^{-9}\) | \(4.9302635\times 10^{-7} \pm 4.6619492\times 10^{-7}\) | 0.7 | \(5.3\times 10^{-5} \pm 5 \times 10^{-5}\) | \(24551\%\) | \(100\%\) |
0.003 | 0.02 | \(2\times 10^{-9}\) | \(1.71476\times 10^{-9} \pm 1.6\times 10^{-13}\) | 0.5 | \(0.536484 \pm 1.0 \times 10^{-4}\) | \(14.26\%\) | \(7.30\%\) |
0.003 | 0.02 | \(2\times 10^{-9}\) | \(1.84380\times 10^{-9} \pm 1.0\times 10^{-13}\) | 0.7 | \(0.714850 \pm 5 \times 10^{-5}\) | \(7.81\%\) | \(2.12\%\) |
