Figure 4

Diffraction profile obtained by summing the circularly averaged diffraction patterns (red open-circles) and the best fit of the general scattering function of Eq. (1)⁵³ (black dots). As the generalized scattering function is complicated and non-linear, we independently performed ten fitting calculations, and the deviation of each fitting curve from the experimental profile was evaluated by the residual factor defined as \(R_{i} = {{\sum\limits_{{S \in {\text{region}}i}} {\left| {I_{{{\text{obs}}}} \left( S \right) - I_{{{\text{fit}}}} \left( S \right)} \right|} } \mathord{\left/ {\vphantom {{\sum\limits_{{S \in {\text{region}}i}} {\left| {I_{{{\text{obs}}}} \left( S \right) - I_{{{\text{fit}}}} \left( S \right)} \right|} } {\sum\limits_{{S \in {\text{region}}i}} {I_{{{\text{obs}}}} \left( S \right)} }}} \right. \kern-0pt} {\sum\limits_{{S \in {\text{region}}i}} {I_{{{\text{obs}}}} \left( S \right)} }}\), where \(I_{{{\text{obs}}}} \left( S \right)\) and \(I_{{{\text{fit}}}} \left( S \right)\) are the experimental and theoretical profiles, respectively. The residual factor was calculated for four independent regions with different intensity ranges (I: S < 5, II: 5 < S < 10, III: 10 < S < 20, and IV: 20 < S < 55 μm⁻¹) as indicated by the dashed lines. In the best-fit case, the factor values were 0.025, 0.037, 0.021, and 0.024 for regions I– IV, respectively.