Basis Function Dependence of Estimation Precision for Synchrotron-Radiation-Based M\"ossbauer Spectroscopy

TL;DR

This paper introduces a Bayesian estimation method to optimize measurement windows in synchrotron-radiation-based M"ossbauer spectroscopy, significantly improving the precision of spectral position measurements over traditional methods.

Contribution

It presents a novel Bayesian approach for evaluating and selecting measurement windows, enhancing spectral precision in M"ossbauer spectroscopy.

Findings

Precision of M"ossbauer center shifts improved by over three times

Bayesian method enables data-driven measurement window selection

Significant enhancement over conventional Lorentzian fitting

Abstract

M\"ossbauer spectroscopy is a technique employed to investigate the microscopic properties of materials using transitions between energy levels in the nuclei. Conventionally, in synchrotron-radiation-based M\"ossbauer spectroscopy, the measurement window is decided by the researcher heuristically, although this decision has a significant impact on the shape of the measurement spectra. In this paper, we propose a method for evaluating the precision of the spectral position by introducing Bayesian estimation. The proposed method makes it possible to select the best measurement window by calculating the precision of M\"ossbauer spectroscopy from the data. Based on the results, the precision of the M\"ossbauer center shifts improved by more than three times compared with the results achieved with the conventional simple fitting method using the Lorentzian function.