Table 1 Fitted parameters for the fibers oriented at 120°, blue region, at four different autocorrelation length according to Jensen’s 2D-Gaussian scattering model.

From: Characterization of oriented microstructures through anisotropic small-angle scattering by 2D neutron dark-field imaging

Autocorrelation length ξ (μm)

Fibers orientation (deg)

Fitted parameters

  

\({\sigma }_{1}^{2}\) [μm2]

\({\sigma }_{2}^{2}\) [μm2]

ϕd [deg]

α

0.04

120

75.7 ± 1.8

41.5 ± 1.2

116.5 ± 0.3

0.19 (±3.3%)

0.09

120

76.7 ± 1.2

22.5 ± 1.1

117.6 ± 0.3

0.42 (±3.1%)

0.21

120

132 ± 3.2

19.9 ± 1.1

116.3 ± 0.4

0.8 (±2.1%)

0.51

120

357 ± 15

23.5 ± 1.2

116.1 ± 0.3

0.87 (±2.8%)

  1. The parameter uncertainties have been estimated as the standard deviation in the Levenberg-Marquardt fitting method.
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