Lanthanide-doped
upconversion (UC) phosphors absorb low-energy
infrared light and convert it into higher-energy visible light. Despite
over 10 years of development, it has not been possible to synthesize
nanocrystals (NCs) with UC efficiencies on a par with what can be
achieved in bulk materials. To guide the design and realization of
more efficient UC NCs, a better understanding is necessary of the
loss pathways competing with UC. Here we study the excited-state dynamics
of the workhorse UC material β-NaYF4 co-doped with
Yb3+ and Er3+. For each of the energy levels
involved in infrared-to-visible UC, we measure and model the competition
between spontaneous emission, energy transfer between lanthanide ions,
and other decay processes. An important quenching pathway is energy
transfer to high-energy vibrations of solvent and/or ligand molecules
surrounding the NCs, as evidenced by the effect of energy resonances
between electronic transitions of the lanthanide ions and vibrations
of the solvent molecules. We present a microscopic quantitative model
for the quenching dynamics in UC NCs. It takes into account cross-relaxation
at high lanthanide-doping concentration as well as Förster
resonance energy transfer from lanthanide excited states to vibrational
modes of molecules surrounding the UC NCs. Our model thereby provides
insight in the inert-shell thickness required to prevent solvent quenching
in NCs. Overall, the strongest contribution to reduced UC efficiencies
in core–shell NCs comes from quenching of the near-infrared
energy levels (Er3+: 4I11/2 and Yb3+: 2F5/2), which is likely due to vibrational
coupling to OH– defects incorporated in the NCs
during synthesis.