A new model for statistical error analysis in XAS: about the distribution function of the absorption coefficient

Area of Science:

• Physics
• Statistical Mechanics

Background:

• The distribution of absorption coefficients in materials is crucial for understanding light-matter interactions.
• Previous models often lacked a generalized theoretical framework for absorption coefficient distributions.

Purpose of the Study:

• To propose a theoretical model for the distribution of the absorption coefficient.
• To validate the Gaussian distribution as an approximation for experimental absorption coefficient data.

Main Methods:

• Development of a theoretical model based on general hypotheses.
• Experimental data collection for absorption coefficients.
• Application of statistical tests to compare theoretical and experimental distributions.

Main Results:

• A theoretical model was established, indicating Gaussian distribution is a suitable approximation.
• Experimental results confirmed the theoretical prediction with high statistical significance.

Conclusions:

• The Gaussian distribution serves as a robust approximation for experimental absorption coefficients.
• This finding provides a valuable tool for predicting and analyzing material absorption properties.