Supporting Information Optimisation of Amphiphilic-Polymer Coatings for Improved Chemical Stability of NaYF4-ased Upconverting Nanoparticles Tina Černič1,2, Monika Koren3,4, Boris Majaron3,4, Maja Ponikvar-Svet5, Darja Lisjak1 1 Jožef Stefan Institute, Department for Materials Synthesis, Ljubljana, Slovenia 2 Jožef Stefan International Postgraduate School, Ljubljana, Slovenia 3 Jožef Stefan Institute, Department of Complex Matter, Ljubljana, Slovenia 4 Faculty of Physics and Mathematics, University of Ljubljana, Slovenia 5 Jožef Stefan Institute, Department of Inorganic Chemistry and Technology, Ljubljana, Slovenia Calculations of the molar fraction of the released fluoride (XF) 𝑋F = 𝐶F 𝑀NP 40 𝐶susp 𝑀F (Eq. S1) Here, CF denotes the concentration of dissolved fluoride in g/ml, Csusp is the total mass concentration of particles in the suspension in mg/ml, and MNP, MF are the molecular mass of the NPs with the nominal composition, atomic mass of F, respectively. Figure S1. Size-distribution of the as-synthesized UCNPs from three different batches used in this study. The average sizes of the specific batch were 52 ± 2 nm, 67 ± 5 nm and 69 ± 3 nm.  Corresponding author: darja.lisjak@ijs.si Figure S2. TEM images of the coated UCNPs @PB-150: individual NPs (a) with an example of an NPs triplet, apparently glued together with an amorphous coating (b). Figure S3. TEM images of the UCNPs@PB-105 from 1-month old dispersions in PBS. The image at the bottom presents an enlarged section from the top image.