Fig. 4: Confirmation of hydrogen bond formation and resulting crystal-field-perturbation upon interstitial H+-doping.

a Schematic illustration of interstitial H+-doping of the NaMgF3:Yb/Er lattice to form stable hydrogen bonds (FâHâŻF) that result in crystal-field perturbation. b High-resolution X-ray photoelectron spectroscopy (XPS) (F 1âs) profiles of NaMgF3:Yb/Er (NMF-H-X) nanocrystals (NCs) with different nominal acetic acid (HAc) additions (Xâ=â0â14.7âmmol). The shift in peak position with increasing HAc addition demonstrates the formation of hydrogen bonds. c, d Crystal-field perturbations lead to limited changes in the bond lengths and bond angles within [ErF6]3â or [YbF6]3â (c) as well as significant changes in the differential charge density distribution (d). e Comparison of the 4F9/2 lifetime (Ď) of the Er3+ emitters in the NMF-H-0 and NMF-H-3.1 NCs at 10âK. f Comparison of the typical absorption spectra of NMF-H-0, NMF-H-3.1, and NMF-H-14.7 NCs at 972ânm (2F7/2 â 2F5/2 transition of Yb3+). g Experimental (dots) and Fourier-transform fitting results (solid lines) of Yb LIII-edge EXAFS spectra of NMF-H-0, NMF-H-3.1, and NMF-H-14.7 NCs, confirming that the structure of the NaMgF3:Yb/Er NCs was essentially unchanged after H+-doping. RYbâF is the average YbâF interatomic distance. Source data are provided as a Source Data file.