Fractal Dimension
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This implementation calculates fractal dimension from small-angle scattering (SAXS) data, which serves as a crucial parameter for characterizing the spatial structure and complexity of samples in scattering experiments. The fractal dimension can be derived through analysis of SAXS data patterns using several computational approaches. Common algorithms include box-counting method, which divides data into grid boxes and analyzes scaling behavior, and dimensional analysis techniques that examine power-law relationships in scattering intensity curves. In code implementation, these methods typically involve logarithmic transformations of intensity versus wavevector (q) data, followed by linear regression to determine the slope representing the fractal dimension. These computational approaches enable researchers to quantitatively understand structural properties and hierarchical organization of materials at different length scales.
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