# A Reassessment of Absolute Energies of the X-ray L Lines of Lanthanide Metals

## TL;DR

This paper introduces a novel high-precision technique using transition-edge sensors to measure x-ray fluorescence line energies and widths of lanthanide metals, significantly improving accuracy and resolving discrepancies in existing data.

## Contribution

The authors develop and demonstrate a new microcalorimeter-based method for accurate absolute energy measurements of x-ray lines, surpassing previous spectrometers in precision.

## Key findings

- Measured 22 lanthanide L lines with <0.4 eV uncertainty
- Resolved discrepancies in previous x-ray line data, especially for terbium
- Improved accuracy for five terbium lines by factors of two or more

## Abstract

We introduce a new technique for determining x-ray fluorescence line energies and widths, and we present measurements made with this technique of 22 x-ray L lines from lanthanide-series elements. The technique uses arrays of transition-edge sensors, microcalorimeters with high energy-resolving power that simultaneously observe both calibrated x-ray standards and the x-ray emission lines under study. The uncertainty in absolute line energies is generally less than 0.4 eV in the energy range of 4.5 keV to 7.5 keV. Of the seventeen line energies of neodymium, samarium, and holmium, thirteen are found to be consistent with the available x-ray reference data measured after 1990; only two of the four lines for which reference data predate 1980, however, are consistent with our results. Five lines of terbium are measured with uncertainties that improve on those of existing data by factors of two or more. These results eliminate a significant discrepancy between measured and calculated x-ray line energies for the terbium Ll line (5.551 keV). The line widths are also measured, with uncertainties of 0.6 eV or less on the full-width at half-maximum in most cases. These measurements were made with an array of approximately one hundred superconducting x- ray microcalorimeters, each sensitive to an energy band from 1 keV to 8 keV. No energy-dispersive spectrometer has previously been used for absolute-energy estimation at this level of accuracy. Future spectrometers, with superior linearity and energy resolution, will allow us to improve on these results and expand the measurements to more elements and a wider range of line energies.