Abstract

The ability to resolve a ⁷<i>F</i>₀ → ⁵<i>D</i>₀ spectrum into individual peaks is important in the study of Eu(III) complexes where the wavelength of the transition is sensitive to the environment of the ion. This paper describes a computer program, based upon the Marquardt nonlinear regression algorithm, developed to resolve such spectra. Several different line shapes were examined, with the Lorentzian function providing the most accurate description for solid complexes and the Lorentzian-Gaussian product function being the most acceptable for species in solution. The program can resolve a spectrum into as many as five peaks with the option to hold any of the parameters constant. The best fit is determined by evaluation of the sum of the squares of the differences between the calculated and the experimental values.

Single YVO₄:Eu nanoparticle emission spectra using direct Eu³⁺ ion excitation with a sum-frequency 465-nm solid-state laser

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Partial least squares regression calculation for quantitative analysis of metals submerged in water measured using laser-induced breakdown spectroscopy

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Multiphoton excitation and emission from europium ions in aqueous solution

J. F. Giuliani
Opt. Lett. 3(4) 149-151 (1978)

Ultraviolet and violet upconversion fluorescence of europium (III) doped in YF₃ nanocrystals

Lili Wang, Xiaojie Xue, Feng Shi, Dan Zhao, Daisheng Zhang, Kezhi Zheng, Guofeng Wang, Chunfeng He, Ryongjin Kim, and Weiping Qin
Opt. Lett. 34(18) 2781-2783 (2009)